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Diabetes in the Chinese hamster (1967)

Gundersen, K. ; Yerganian, George ; Lin, Boniface J. ; [et al.]

Springer

Diabetologia 3 (1967), S. 85-91

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Chinese hamster ; Cricetulus griseus ; Clinical diabetes ; Glucose metabolism ; Leucine metabolism

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons étudié cliniquement le diabète héréditaire du hamster chinois, et, en particulier, nous avons pu suivre 79 animaux pendant des périodes prolongées. Le diabète chez ce hamster est variable quant à sa sévérité et quant à son évolution clinique. Par plusieurs aspects il ressemble au diabète humain, mais il s'en différencie par l'énorme volume urinaire, la fréquence du diabète léger même chez les animaux jeunes, une résistance relative à l'insuline, et une capacité extraordinaire de compensation pour les pertes de liquide et de glucose dans l'urine. Ces différences sont si marquées qu'elles suggèrent l'existence de différences fondamentales entre le métabolisme du hamster chinois et celui de l'homme. Bien que certaines différences aient pu être démontrées dans le métabolisme du glucose et de la leucine entre l'animal diabétique et l'animal normal, la signification statistique de ces différences reste à établir.

Abstract: Zusammenfassung Eine klinische Untersuchung des hereditären Diabetes im chinesischen Hamster hat ergeben, daß große Schwankungen in bezug auf die Schwere und den Verlauf der Stoffwechselstörung bestehen. Verschiedene Merkmale der Krankheit in diesem Tier ähneln dem menschlichen Diabetes, während andere Aspekte, wie z.B. Urinmenge und Glykosurie, oder die beträchtliche Anzahl der Tiere mit leichtem jugendlichen Diabetes, der hohe Insulinbedarf und die Fähigkeit größere Urinund Glucoseverluste auszugleichen, darauf hinweisen, daß diese Widersprüche artbedingt sein könnten.In vivo undin vitro durchgeführte Stoffwechselstudien mit Glucose und Leuzin scheinen im normalen und diabetischen Tier leicht zu differieren, obgleich dies statistisch nicht zu beweisen war.

Notes: Summary A clinical study of hereditary diabetes in the Chinese hamster has revealed a great variety in severity and course of the disease. Several aspects of the disease in this animal resemble human diabetes, whereas other parameters, such as gross urine volumes and glycosuria, a considerable number of mild juvenile-onset diabetics, high insulin requirement, and ability to compensate for urine losses of fluids and glucose would indicate that species differences in metabolism may be the cause of these discrepancies. — Metabolismin vivo andin vitro of glucose and leucine appears to be slightly different in the normal and diabetic animal, although statistically this has not been proven.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222183

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Diabetic syndrome in sand rats (1967)

Fronzo, R. ; Miki, E. ; Steinke, J.

Springer

Diabetologia 3 (1967), S. 140-142

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Sand rat ; Psammomys obesus ; Prediabetes ; Preclinical diabetes ; Insulin in serum ; Adipose tissue in vitro ; Insulin resistance ; Liver enzymes ; Liver metabolism in vitro ; Obesity

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Chez des rats des sables pesant environ 100, 140, et 220 gr, avec une glycémie normale, nous avons observé des taux élevés d'insuline circulante par rapport aux taux que l'on observe chez des rats albinos du même âge. Chez ces animaux, le tissu adipeux incubéin vitro n'est que peu sensible à l'insuline, par comparaison avec la sensibilité du tissu adipeux du rat albinos. La sensibilité à l'insuline diminue dans les deux espèces avec l'âge, mais cet effet est beaucoup plus marqué chez le rat des sables. Les dosages d'enzymes hépatiques et les études métaboliques sur tranches de foie ont donné des résultats semblables pour les deux espèces à l'exception d'une incorporation diminuée de glucose en glycogène hépatique pour le rat des sables.

Abstract: Zusammenfassung Sandratten mit normalem Blutzucker und einem Körpergewicht von ungefähr 100, 140 und 220 Gramm wurden mit Albinoratten desselben Alters verglichen. Dabei wurde beobachtet, daß die Sandratten auch unter diesen Bedingungen erhöhte Seruminsulinspiegel aufwiesen. Ihr Fettgewebe zeigtein vitro eine verminderte Insulinempfindlichkeit, die mit zunehmendem Alter weiter fiel. Diese altersbedingte Abnahme war bei Sandratten ausgeprägter als bei Albinoratten. Untersuchungen von Leberstoffwechsel an Leberschnitten oder an Leberenzymmessungen deuteten nicht auf ein unterschiedliches Verhalten der Leber der Sandratte, mit der einzigen Ausnahme eines verminderten Glucose-Einbaues in Glykogen.

Notes: Summary Normoglycemic sand rats of approximately 100, 140, and 220 grams body weight were found to have increased circulating insulin levels compared with albino rats of matched ages. Adipose tissuein vitro demonstrated decreased insulin sensitivity, which became further diminished with increasing age in both type of rats, but this effect was much more marked in the sand rats. Liver enzyme determinations and metabolic studies on liver slices showed identical results in both rats, except for decreased glucose incorporation into glycogen in the sand rat.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222191

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Studies on experimental diabetes in the Wellesley Hybrid mouse (1967)

Like, A. A. ; Jones, E. E.

Springer

Diabetologia 3 (1967), S. 179-187

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Wellesley hybrid mouse ; Hybrid mouse diabetes ; Genotype: C3HfXI- Fl ; Ultrastructure ; Beta cells ; Nutrition and diabetes ; Diet and diabetes ; Insulin in serum ; Obesity ; Strains of mice

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons étudié la morphologie des îlots de Langerhans de souris hybrides de Wellesley (C3HfxI) et de souris albinos ordinaires soumises à deux régimes synthétiques de laboratoire. Nous avons observé une forte augmentation du volume des îlots de Langerhans des animaux diabétiques soumis aux deux types de régime, ces îlots étant composés presque exclusivement de cellules B actives. L'apparence des îlots de Langerhans d'animaux non-diabétiques était normale. Il existe chez ces animaux une excellente corrélation entre la présence de diabète, les taux d'insuline immunoréactive sérique, et l'apparence des îlots, ceci pour les deux régimes.

Abstract: Zusammenfassung An “Wellesley Hybrid” und normalen Laboratoriumsmäusen, denen zwei verschiedene Arten von synthetischem Futter gegeben worden war, wurden morphologische Studien durchgeführt. Die Langerhans'schen Inseln diabetischer Tiere beider Gruppen waren stark vergrößert und bestanden beinahe ausschließlich aus aktiv Insulin synthetisierendenβ-Zellen. Die Inseln der nicht-diabetischen Mäuse waren normal. Es bestand ein deutlicher Zusammenhang zwischen dem Vorhandensein von Diabetes, dem immunreaktiven Insulin Spiegel im Serum und der Inselmorphologie, unabhängig von Mäusestamm und Diät.

Notes: Summary Morphologic studies were performed in “Wellesley Hybrid” and commercial laboratory mice fed synthetic chow of two types. The pancreatic islets of diabetic animals of both groups were greatly enlarged, and were composed almost exclusively of beta cells actively synthesizing insulin. The islets of the non-diabetic mice were normal. There was excellent correlation between the presence of diabetes, the level of serum TRI and islet morphology regardless of mouse strain and dietary regimen.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222196

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Ultrastructural studies of the hyperplastic islets of langerhans of spiny mice (acomys cahirinus) before and during the development of hyperglycemia (1967)

Pictet, Raymond ; Orci, Lelio ; Gonet, Alain E. ; [et al.]

Springer

Diabetologia 3 (1967), S. 188-211

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Spiny mice ; Acomys cahirinus ; Obesity ; Pancreas ; Ultrastructure ; Beta cells ; Insulin in pancreas ; Glycogen ; Islets of Langerhans ; Endo-exocrine cells

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé L'Acomys Cahirinus ou souris à piquants est un rongeur vivant dans les régions semi-désertiques de l'est de la Méditerranée. La découverte d'un diabète spontané chez certains de ces animaux a fait entreprendre l'élevage d'une colonie dans laquelle ce syndrome s'est maintenu jusqu'à maintenant. Il atteint environ 15% des animaux, qu'ils soient obèses ou non. Il apparaît sur un terrain insulaire très particulier puisque le pancréas endocrine montre une hyperplasie très importante jusqu'à constituer 15% du pancréas total. Cette hyperplasie existe chez tous les animaux, hyperglycémiques ou non. — L'étude au microscope électronique est encore trop incomplète pour une analyse corrélative détaillée entre les données métaboliques et morphologiques. Elle permet toutefois de décrire les différentes structures cellulaires de l'Acomys ainsi que leurs modifications dans les conditions pathologiques. Les changements du complexe de Golgi et des mitochondries et certains aspects plus pathologiques,comme l'accumulation de glycogène, sont décrits ainsi que des images plus particulières à l'Acomys, telles les confluences de vésicules et les cellules hypergranulées. — L'extrême hyperplasie du pancréas endocrine de la souris à piquants s'accompagne à son niveau d'un grand polymorphisme cellulaire. Les différentes cellules ainsi observées sont interprétées comme des aspects de différents moments physiologiques et non comme des types cellulaires particuliers. Ces données font conclure à la non-existence d'autres entités cellulaires que les cellules A, B et éventuellement D. Un aspect particulièrement intéressant de la souris à piquants est celui dela présence de cellules mixtes. Cette image est discutée dans le cadre très particulier du syndrome diabétique observé chez l'Acomys.

Abstract: Zusammenfassung Acomys cahirinus, die Stachelmaus, ist ein kleines Nagetier, das in den an die Wüste grenzenden Gegenden des östlichen Mittelmeerraumes lebt. Da in dieser Tierart Spontandiabetes auftritt, zumindest in Laboratoriumszucht, halten wir dieses Tier am Institut de Biochimie Clinique seit etwas mehr als drei Jahren. Diabetes mellitus tritt bei ungefähr 15% der Tiere die ein Jahr alt werden ein; einige davon sind fettsüchtig, nicht aber alle. Diabetes erscheint trotz einer sehr stark entwickelten Hyperplasie der Langerhans'schen Inseln, die bis zu 15% des erwachsenen Organs ausmachen können! Diese Hyperplasie ist bei allen Tieren zu sehen, unabhängig davon ob eine diabetische Stoffwechselstörung vorliegt oder nicht. Mit dem Elektronenmikroskop haben wir die Langerhans'schen Inseln von 22 Stachelmäusen untersucht und berichten hier über die verschiedenen beobachteten Zelltypen, zu verschiedenen Zeitpunkten der Entwicklung der diabetischen Stoffwechselstörungen. Befunde an den B-Zellen dieser Tierart betreffen die hochgradige Entwicklung des Golgi Apparates, die große Unterschiedlichkeit und manchmal extreme Glycogen-Ablagerung in diabetischen Tieren, die häufige Verschmelzung der Membranen der Granula, und das Auftreten von ganz übermäßig hypergranulierten Zellen. — Die Hyperplasie der Langerhans'schen Inseln in Stachelmäusen geht mit einem betrachtenswerten zellulären Polymorphismus einher. Die Autoren sind jedoch nicht der Meinung, daß diese Befunde auf das Vorhandensein von vielen verschiedenen Zelltypen in diesen Inseln deutet. Es scheint ihnen viel wahrscheinlicher, daß es sich um verschiedene funktionelle Zustände einer kleinen Anzahl von Zelltypen handelt, wobei nur A, B, und vielleicht D Zellen mit Sicherheit als identifiziert gelten können. Ein besonders frappanter Aspekt dieses zellulären Polymorphysmus istdie häufige Beobachtung von gemischten oder Intermediärzellen (exokrin-endokrin sowie auch endokrin A-B). Diese Beobachtung wirft die Frage auf ob die Stimulation, die zu der Hyperplasie des endokrinen Systems in dieser Tierart führt, vielleicht mit einer Verminderung der nuklearen Hemmung, die bei voll differenzierten Zellen die Regel ist, einhergehen könnte.

Notes: Summary Acomys Cahirinus, the spiny mouse, is a small rodent living in the semi-desertic areas of the Eastern Mediterranean. The observation that diabetes may occur spontaneously in this species, at least under laboratory conditions, has led to its breeding at the Institut de Biochimie Clinique, where a colony has been maintained over the last 3 years. Diabetes occurs in approximately 15% of the animals reaching one year of age; some of these are obese, but not all. Diabetes occurs in the presence of, and despite a striking hyperplasia of the endocrine pancreas, which may make up as much as 15% of the total organ in adult mice. This hyperplasia is present in all animals, whether hyperglycemic or not. — The islets of Langerhans of 22 spiny mice have been examined with the electron microscope and form the basis for an analysis of the different cell types observed, at different times relative to the onset of diabetes. Findings in the B cells of this species have included the generally high degree of development of the Golgi complex, the great variability of glycogen accumulation in diabetic animals, the frequent fusion of the granular sacs, and the occurrence of grossly hyper-granulated cells. — The hyperplasia of the islets of Langerhans in spiny mice is associated with a remarkable cellular polymorphism. However, the authors do not feel that this is the result of the presence in these islets of many distinct cell types. It would seem much more likely, that they represent different functional states of a small number of distinct types of cells, among which only A, B and perhaps D cells have been securely identified. Another feature of this cellular polymorphism is thefrequent presence of mixed or intermediate cells (exocrine-endocrine, or endocrine A-B), which suggests that the stimulation leading to hyperplasia of the endocrine cells in this species might result in the removal of some part of the nuclear inhibition usually associated with fully differentiated cells.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222197

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Studies with the mutation, diabetes, in the mouse (1967)

Coleman, D. L. ; Hummel, Katharine P.

Springer

Diabetologia 3 (1967), S. 238-248

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Genotype: C57BL/K5-db ; Diabetes in mice ; Mutation: diabetes ; Obesity ; Prediabetes ; Insulin in plasma ; Insulin in pancreas ; Islets of Langerhans ; Pancreas ; Insulin resistance ; Glucose utilization ; Gluconeogenesis

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé La mutation, diabète (db), a été observée dans la souche de souris C57BL/Ks. C'est un gène autosomal récessif avec pénétrance complète, et qui mène chez les homozygotes à un trouble métabolique ressemblant au diabète sucré chez l'homme. Une accumulation excessive de graisses se produit à l'âge de 3–4 semaines et est bientôt suivie par l'apparition d'hyperglycémie, de polyurie et de glucosurie. L'évolution clinique suit ensuite deux étapes. Durant la première, les taux d'insuline plasmatique sont élevés et la lipogénèse, la gluconéogénèse, ainsi que l'oxydation du glucose sont accélérées; il y a diminution de la granulation des cellulesβ et d'autres altérations suggérant l'existence d'une compensation d'un état nécessitant une utilisation insulinique accrue. La deuxième étape, par contre, est caractérisée par des taux normaux d'insuline plasmatique, avec diminution marquée de l'utilisation du glucose malgré la persistance d'une gluconéogénèse nettement exagérée. Ces observations nous semblent indiquer l'existence d'une utilisation défectueuse de l'insuline à la périphérie, plutôt qu'une anomalie primaire de la synthèse ou de la libération de l'hormone au niveau du pancréas.

Abstract: Zusammenfassung Die Mutation Diabetes (db), die in dem Mäusestamm C57BL/Ks auftritt, ist ein autosomales rezessives Gen mit voller Penetranz und verursacht bei homzygoten Mäusen eine dem im Menschen auftretenden Diabetes mellitus ähnliche Stoffwechselstörung: übermäßige Ablagerung von Fett im Alter von 3–4 Wochen, mit anschließender Hyperglykämie, Polyurie und Glucosurie. Der klinische Verlauf erfolgt dann in zwei Phasen. In der ersten Phase ist ein wesentlicher Anstieg der Plasmainsulinwerte im Vordergrund, mit Beschleunigung von Lipogenese, Gluconeogenese und Glucoseoxydation. Das Abnehmen der Granula in denβ-Zellen der Langerhansschen Inseln und andere Veränderungen deuten auf eine Anpassung an einen steigenden Insulinbedarf. In der zweiten Phase, dagegen, sind die Insulinspiegel eher normal, und der Glucoseverbrauch nimmt ab, bei Weiterbestehen der beschleunigten Gluconeogenese. Diese Ergebnisse deuten eher auf eine mangelhafte periphere Insulinwirkung als auf eine ungenügende Synthese der Ausschüttung des Hormones durch das Pankreas.

Notes: Summary The mutation, diabetes (db), that occurred in the C57BL/Ks strain of mice is a unit autosomal recessive gene with full penetrance, and causes metabolic disturbances in homozygous mice resembling diabetes mellitus in man. Abnormal deposition of fat at 3 to 4 weeks of age is followed by hyperglycemia, polyuria and glycosuria. The diabetic condition appears to develop in two stages. In the early stage, there are marked increases in the levels of plasma insulin, the rates of lipogenesis, gluconeogenesis, and glucose oxidation, and there is a reduction ofβ-cell granules in the islet of Langerhans with other changes suggestive of a compensating adaptation to increased insulin demand. On the other hand, the late stage is characterized by a near normal level of circulating insulin, a marked decrease in glucose utilization but with a continued high rate of gluconeogenesis. These findings suggest a defect in the peripheral utilization of insulin rather than in the synthesis and release of the hormone from the pancreas.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222201

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Measurements of insulin activities in pancreas and serum of mice with spontaneous (“obese” and “New Zealand obese”) and induced (goldthioglucose) obesity and hyperglycemia, with considerations on the pathogenesis of the spontaneous syndrome (1967)

Stauffacher, Werner ; Lambert, André E. ; Vecchio, Danièle ; [et al.]

Springer

Diabetologia 3 (1967), S. 230-237

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Genotype: C57BL/6J-ob ; Mutation: obese ; New Zealand obese (NZO) ; Goldthioglucose ; Obesity: pathogenesis ; Adipose tissue ; Muscle ; Resistance to insulin ; Insulin in serum ; Insulin in pancreas ; Non-suppresible ILA ; ILA

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé 1. L'activité insulinique (ILA) et l'insuline immunoréactive (IRI) ont été dosées dans des extraits pancréatiques et dans le sérum de souris maigres et obèses (obob) provenant du Jackson Memorial Laboratory à Bar Harbor, Maine; de souris obèses de Nouvelle Zélande; et de souris albinos rendues obèses par l'aurothioglucose. Chez ces trois types de souris, les quantités relatives d'activité insulinique “supprimable” et “non supprimable” ont également été mesurées dans le sérum. — 2. Le contenu insulinique en IRI du pancréas des souris obob était beaucoup plus élevé que celui de leur fratrie maigre à l'âge de cinq mois, mais était moindre à l'âge de cinq semaines. Par contre, l'IRI et l'ILA du sérum des souris obob excédaient de beaucoup ceux de leur fratrie maigre aux deux âges. Il est suggéré que la demande périphérique augmentée en insuline précède la synthèse et le stockage insuliniques augmentés dans ce type d'obésité. — 3. Chez ces trois souches de souris, qu'elles soient obèses ou maigres, le rapport des activités insuliniques biologiques et immunologiques des extraits pancréatiques était constant et approchait l'unité. Dans le sérum, ce rapport était également constant mais il était approximativement de cinq. Ces faits sont en désaccord avec la notion que des différences de structure de l'insuline pourraient être la cause des activités biologiques insuliniques différentes chez les animaux obèses et non obèses. Ils sont cependant en accord avec le concept d'une potentialisation de l'activité insulinique du sérum par une substance sérique présente chez toutes les souris. — 4. Approximativement 90% de l'ILA sérique chez les trois races de souris obèses étudiées étaient supprimées par la présence de sérum anti-insuline, bien que les taux absolus d'ILA non supprimable soient semblables à ceux trouvés dans d'autres espèces. Il est donc improbable que l'insuline “liée” participe pour une part importante à l'ILA sérique accrue d'un des trois types d'animaux obèses étudiés. — 5. Les résultats obtenus sont en accord avec le concept d'une résistance importante du tissu musculaire à l'action insulinique qui jouerait un rôle pathogénique important, voire primordial, chez la souris obob. Une résistance musculaire similaire, bien que moins marquée, peut être démontrée chez la souris obèse de Nouvelle Zélande. Par contre, cette résistance musculaire à l'action insulinique est totalement absente chez la souris albinos rendue obèse par l'aurothioglucose, après un jeûne de 24 heures.

Abstract: Zusammenfassung 1. Pankreas-Extrakte und Seren von normalen und fettsüchtigen (“obob”) Mäusen der Jackson Memorial Laboratories, Bar Harbor, von neuseeländischen fettsüchtigen Mäusen (“NZO”) und von weißen Mäusen, die nach Injektion von Goldthioglucose fettsüchtig geworden waren, wurden auf ihren Gehalt an insulinähnlicher Aktivität (“ILA”) und immunoreaktivem Insulin (“IRI”) untersucht. In den Seren aller drei Stämme wurde der Anteil der gesamt-ILA bestimmt, der mit Antikörpern gegen Insulin nicht unterdrückt werden kann. — 2. Pankreas erwachsener “obob” enthält mehr, dasjenige junger enthält weniger IRI als Pankreas normalgewichtiger Tiere aus dem gleichen Wurf, wogegen Serum der “obob” unabhängig vom Alter der Tiere mehr IRI und ILA enthält als das der normalgewichtigen. Es ist anzunehmen, daß bei dieser Form genetischer Fettsucht die Zunahme des peripheren Insulinbedarfsvor der Steigerung der Insulinsynthese und-Speicherung auftritt. — 3. Bei allen drei Mäusestämmen, ob fettsüchtig oder nicht, war das Verhältnis von ILA zu IRI der Pankreasextrakte konstant und betrug ca. 1. Im Serum war das Verhältnis ebenfalls konstant, betrug aber ca. 5. Damit erscheint es unwahrscheinlich, daß strukturelle Unterschiede der Insulinmoleküle einzelner Mäusestämme für Aktivitätsunterschiede des Hormons zwischen normalen und fettsüchtigen Mäusen verantwortlich zu machen sind. Dagegen ist das Resultat im Einklang mit der Möglichkeit einer Potenzierung der Aktivität des Insulins durch gewisse Serumproteine. — 4. In Gegenwart von Antikörpern gegen Insulin wurden ca. 90% der ILA des Serums aller drei untersuchten Mäusestämme unterdrückt. Die absolute Konzentration nicht unterdrückbarer ILA entsprach derjenigen, die bei anderen Species beschrieben wurde. Es ist deshalb nicht wahrscheinlich, daß ein “gebundenes” Insulin für die Erhöhung der Konzentration der ILA im Serum der untersuchten fettsüchtigen Mäuse verantwortlich ist. — 5. Die vorliegenden Resultate unterstützen die Annahme, daß eine gewebeeigene Insulinresistenz der Muskulatur in der Pathogenese des “obob” Syndroms eine bedeutende Rolle spielt. Eine ähnliche, nicht notwendigerweise gewebegebundene und schwächere Insulinresistenz der Muskulatur ließ sich auch bei “NZO” Mäusen nachweisen, während die Muskulatur der durch Goldthioglucose hyperphagisch und fettsüchtig gemachten weißen Mäuse normal insulinempfindlich blieb.

Notes: Summary 1. Insulin-like activity (ILA) and immunoreactive insulin (IRI) of pancreatic extracts and of serum have been measured in lean and obese (obob) mice from the Jackson Memorial Laboratory in Bar Harbor, Maine; in New Zealand obese mice; and in goldthioglucose-obese Swiss mice, and their lean controls. In all three types of mice the relative amounts of “suppressible” and “nonsuppressible” insulin activities of serum have also been established. — 2. Pancreatic content of IRI in (obob) mice is much greater than in their lean sibblings at five months of age, but smaller at 5 weeks, whereas serum IRI and ILA of (obob) mice are greatly in excess of the same activities of serum from their lean littermates at both ages. It is suggested that increased peripheral demand for insulin preceeds increased insulin synthesis and storage in this type of obesity. — 3. In all three strains of mice, obese or lean, the ratio of biologic to immunologic activity of pancreatic extracts was constant and close to unity. In serum, this ratio was also constant but approximately five times greater than unity. These findings do not support the notion that differences in insulin structure might account for differences in the biological activity of insulin in obese and non-obese animals; they are in keeping with the concept of a potentiation of serum insulin activity by some component of serum in all mice. — 4. Approximately 90% of serum ILA in all three types of obese mice studied was suppressed in the presence of anti-insulin serum, although the absolute levels of non-suppressible ILA were similar to those reported for other species. It is unlikely, therefore, that “bound” insulin accounts for a significant part of the increased ILA of serum of any of the three types of obese animals studied. — 5. Present data support the concept of a marked tissue-bound muscular resistance to insulin action as an important, possibly primary pathogenetic feature in (obob) mice. A similar, but much less marked muscular resistance can be demonstrated in NZO mice, whereas muscular resistance to insulin action is totally absent in goldthioglucose obese Swiss mice after a 24 hour fast.

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URL: http://dx.doi.org/10.1007/BF01222200

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Spontaneous diabetes in dogs and cats (1967)

Gepts, W. ; Toussaint, D.

Springer

Diabetologia 3 (1967), S. 249-265

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Dog ; Cat ; Diabetes in dogs and cats ; Pancreas ; Islets of Langerhans ; B cells ; Insulitis ; Hyalin ; Capillaries ; Kidney ; Retina ; Microaneurysms ; Pituitary

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Les auteurs présentent une étude histopathologique de 30 chiens et de 5 chats spontanément diabétiques. — Les îlots de Langerhans et les cellules B étaient fortement diminués en nombre chez la grande majorité des chiens. Les cellules B étaient souvent dégranulées et hydropiques. Chez les chiens dont le diabète avait évolué pendant longtemps, les îlots étaient très rares et les cellules B absentes. — Chez les 5 chats spontanément diabétiques par contre, les îlots et les cellules B étaient nombreuses. Les cellules B étaient dégranulées et hydropiques chez 4 chats. Chez 1 des chats, les cellules B paraissaient normales. De nombreux îlots présentaient des dépôts de substance hyaline dans le stroma. Chez un chat, il existait une infiltration lymphocytaire très dense dans un îlot. — Ni chez les chiens, ni chez les chats, il n'a été vu de lésions glomérulaires identiques à celles de glomérulosclérose diabétique humaine. Les lésions les plus fréquentes consistaient en un épaississement des axes membraneux des touffes glomérulaires et une hypertrophie de la paroi des artérioles afférentes.— Dans les rétines des chiens diabétiques il existait une acellularité focale ou généralisée de la paroi des capillaires. Un petit nombre de microanévrysmes ont été trouvés chez 3 chiens diabétiques. L'incidence plus faible des lésions de rétinopathie vasculaire, comparativement aux diabétiques humains, s'explique probablement par la durée de vie plus courte du chien et du chat. Il est possible aussi que les capillaires rétiniens de ces animaux soient moins susceptibles de développer des lésions dégénératives. — Un degré marqué de stéatose hépatique a été observé chez beaucoup de chiens et de chats. Les surrénales étaient souvent hypertrophiées et contenaient des adénomes, mais ces lésions ne paraissent pas différentes de celles que l'on peut trouver chez des chiens et des chats non diabétiques de même âge. L'hypophyse a été prélevée chez 7 chiens. Dans 2 cas, elle contenait un adénome. Une étude cytologique plus complète des hypophyses sera publiée ultérieurement.

Abstract: Zusammenfassung Die Autoren berichten über die Ergebnisse von Untersuchungen an 30 spontan-diabetischen Hunden und 5 spontan-diabetischen Katzen. Bei der großen Mehrzahl der diabetischen Hunde war die Zahl der Langerhansschen Inseln und der B-Zellen stark herabgesetzt. Die B-Zellen waren oft degranuliert und hydropisch. Bei Hunden mit schon lang anhaltender Krankheit waren die Inseln nur noch vereinzelt und B-Zellen überhaupt nicht mehr nachweisbar. — Im Gegensatz zu diesen Ergebnissen fanden sich bei allen 5 Katzen zahlreiche Inseln und B-Zellen. Bei 4 dieser Katzen jedoch waren die B-Zellen, wie bei den Hunden, degranuliert und hydropisch entartet. Bei einer Katze war das Aussehen der B-Zellen normal. Im Stroma der Inseln von 2 Katzen konnten starke Hyalinablagerungen nachgewiesen werden. In einem Falle zeigten die Inseln eine starke lymphocytäre Infiltration. — Weder bei den Hunden noch bei den Katzen waren typische Läsionen der Glomeruli, wie sie bei der Glomerulosklerose des menschlichen Diabetes auftreten, nachweisbar. Die häufigsten Veränderungen bestanden aus einer mehr oder weniger ausgeprägten Verdickung des mesangialen Teils der Kapillaren der Glomeruli und aus einer Hypertrophie der Wand der zuführenden Arteriolen. Bei einigen Hunden und Katzen bestanden auf chronische Pyelonephritis zurückführende Narben. — In der Retina der diabetischen Hunde waren zellenlose und funktionslose Kapillaren vorhanden, und degenerierte Pericyten (“ghostcells”) waren häufiger als bei normalen Hunden. In drei Hunden wurden einige Mikroaneurismen beobachtet. Daß diese für die Retinopathie des Diabetes typischen Läsionen beim Hund verhältnismäßig selten auftreten könnte mit der kürzeren Lebensdauer der Krankheit bei diesen Tieren zusammenhängen. Es ist jedoch nicht ausgeschlossen, daß die Retina von Hunden und Katzen weniger zu degenerativen Veränderungen neigt. — In der Leber vieler Hunde und Katzen wurde eine schwere Steatose beobachtet. In vier Hunden zeigte sich beginnende Lebercirrhose. In diabetischen Hunden und Katzen waren die Nebennieren oft hypertrophisch und enthielten Adenome, die allerdings auch bei nichtdiabetischen alternden Hunden beobachtet wurden. In 2 von 7 Hypophysen diabetischer Hunde fanden sich Adenome, über deren cytologische Untersuchung in einer späteren Veröffentlichung berichtet wird.

Notes: Summary A histological study of 30 spontaneously diabetic dogs and 5 spontaneously diabetic cats is presented. — The islets of Langerhans and the B cells were strongly reduced in number in a large majority of the diabetic dogs. The B cells were often degranulated and hydropic. In cases of longer duration, the islets were scarce and B cells could no longer be found. — In contrast to the findings in diabetic dogs, all five cats showed numerous islets and B cells. However in 4 cats, the B cells showed complete degranulation and hydropic changes, as in the dogs. In one cat, the B cells had a normal appearance. Extensive hyalin deposits were found in the stroma of the islets in 2 cats. In one cat, an islet showed a dense lymphocytic infiltration. — No lesions identical to human diabetic glomerulosclerosis were found in any of the dogs or cats. The changes most frequently observed were a variable degree of thickening of the mesangial stalk of the glomerular capillaries, and an hypertrophy of the wall of the afferent arteriole. Scars resulting from chronic pyelonephritis, were found in a few dogs and cats. — Acellular, non-functional capillaries, with degeneration of pericytes (“ghost-cells”) were found in larger numbers in the retinas of the diabetic dogs than in non-diabetic control dogs. A very few microaneurysms could be found in 3 dogs. The lower incidence of the most typical lesions of diabetic retinopathy in dogs, as compared with the human diabetic, is probably related to the shorter duration of the disease in these animals. However, a lower susceptibility of the retina of dogs and cats to develop degenerative changes cannot be excluded. — A severe steatosis was observed in the liver of many dogs and cats. In 4 dogs, the liver showed early cirrhosis. In diabetic dogs and cats, the adrenal cortex often showed hypertrophy and contained adenomas; however, these changes have also been reported in non-diabetic aging dogs. An adenoma was found in 2 of the 7 pituitaries obtained from diabetic dogs; the cytological aspect of these adenomas and of the pituitaries will be reported in a later publication.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222202

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Spontaneous diabetes in laboratory animals (1967)

Renold, Albert E. ; Dulin, William E.

Springer

Diabetologia 3 (1967), S. 63-64

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Diabetes in animals ; Genes for diabetes ; Mutations for diabetes ; Obesity ; Genotypes

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222180

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Islet and beta cell volumes in diabetic Chinese hamsters and their non-diabetic siblings (1967)

Carpenter, Anna -Maky ; Gerritsen, G. C. ; Dulin, W. E. ; [et al.]

Springer

Diabetologia 3 (1967), S. 92-96

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Chinese hamster ; Cricetulus griseus ; Islet volume ; Beta cell volume ; Pancreas ; Beta cells ; Prediabetes ; Preclinical diabetes

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons étudié 3 groupes de hamsters chinois de la colonie des laboratoires Upjohn, soit (1) des animaux diabétiques ayant présenté des symptômes pendant 18 mois; (2) des animaux non-diabétiques des mêmes nichées; et (3) des animaux non-diabétiques et non-apparentés mais concordant par l'âge et le sexe. Le diabète spontané de ces animaux est caractérisé par une hyperglycémie, une glucosurie, une diminution du volume des îlots de Langerhans, une diminution du volume total des cellulesβ, une dégranulation des cellulesβ et l'infiltration en glycogène des îlots de Langerhans. Des anomalies de même type, mais moins marquées ont été observées chez les frères et soeurs des animaux diabétiques. A notre connaissance, c'est là la première description de la diminution de la masse des cellulesβ et de leur dégranulation avant l'apparition clinique d'un diabète spontané chez l'homme ou l'animal. Il en ressortirait que cette altération des cellulesβ pourrait bien être un mécanisme étiologique primaire de la pathogénèse du diabète spontané du hamster chinois.

Abstract: Zusammenfassung Drei Gruppen von chinesischen Hamstern aus der Upjohn-Zucht wurden untersucht. Dazu gehörten: diabetische Tiere, die seit 18 Monaten Symptome aufwiesen, nichtdiabetische Tiere aus gleichem Wurf und nichtverwandte nichtdiabetische Tiere, die in Alter und Geschlecht den anderen entsprachen. Der Spontandiabetes zeichnet sich aus durch Hyperglykämie, Glykosurie, Abnahme des Inselvolumens, Verminderung derβ-Zellmasse, Degranulierung derβ-Zellen und Glykogeninfiltration der Inseln. In den nichtdiabetischen Geschwistertieren wurden ähnliche aber weniger markante Veränderungen festgestellt. Unseres Wissens ist dies der erste Bericht einer Verringerung derβ-Zellmasse mit Degranulierung noch ehe sich ein Spontandiabetes bei Mensch oder Tier manifestiert. Dies deutet darauf daß diese Veränderungen derβ-Zellen einen primären etiologischen Faktor bei der Entstehung des Spontandiabetes beim chinesischen Hamster darstellen könnten.

Notes: Summary Three groups of Chinese hamsters bred at the Upjohn Laboratory were studied: these included diabetic animals in which symptoms were present for 18 months, non-diabetic siblings and non-related, non-diabetic animals of the corresponding age and sex. The spontaneous diabetes is characterized by hyperglycemia, glycosuria, decreased islet volume, decreased beta cell mass, beta cell degranulation and glycogen infiltration in the islets. In the non-diabetic siblings, similar but less marked changes were noted. To our knowledge this is the first reported observation of decreased beta cell mass and beta cell degranulation occurring prior to clinical onset of spontaneous diabetes in man or animal. It suggests that the observed alteration of beta cells is a primary etiologic mechanism in the production of spontaneous diabetes in the Chinese hamster.

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URL: http://dx.doi.org/10.1007/BF01222184

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The effects of feeding and various hormones on the glucose tolerance of the sand rat (psammomys obesus) (1967)

Brodoff, Bernard N. ; Penhos, Juan C. ; Levine, R.

Springer

Diabetologia 3 (1967), S. 167-170

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Sand rat ; Psammomys obesus ; Prediabetes ; Potential diabetes ; Preclinical diabetes ; Starvation diabetes ; Phenformin ; Growth hormone ; Cortisone ; Glucagon ; Insulin response

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé L'observation principale que nous rapportons est celle d'une diminution de la tolérance au glucose chez le rat des sables potentiellement diabétique, même soumis à un régime consistant exclusivement en légumes. Cette intolérance est induite ou aggravée par des périodes même brèves de jeûne. Ce «diabète de la faim» pourrait bien s'avérer être un diabète expérimental idéal pour l'étude de la pathogénèse du diabète qu'on observe chez l'animal soumis à un régime normal, plus riche en calories.

Abstract: Zusammenfassung Das Hauptergebnis unserer Untersuchung ist die Beobachtung einer verminderten Toleranz für Glucose in der potentiell diabetischen Sandratte, selbst bei rein pflanzlicher Ernährung. Verursacht oder verschlimmert wurde dieser Zustand durch kurze Perioden von Nahrungsentzug. Dieser „Hungerdiabetes“ könnte ein ideales Versuchsmodell darstellen, und die Aufklärung des diabetogenen Mechanismus bei normaler Laboratoriumskost erleichtern.

Notes: Summary The key finding in our study is a diminished tolerance for glucose in the potentially diabetic vegetable-fed sand rat, induced or aggravated by brief periods of food deprivation. This “starvation diabetes” may represent an ideal experimental model for study of the mechanism involved in the development of diabetes in the chow-fed animal.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222193

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Diabetic syndrome in sand rats (1967)

Like, A. A. ; Miki, E.

Springer

Diabetologia 3 (1967), S. 143-166

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Sand rat ; Psammomys obesus ; Pancreas ; Ultrastructure ; Beta cells ; Alpha cells ; Protein synthesis ; Insulin in plasma ; Insulin in pancreas ; Obesity ; Nutrition and diabetes ; Diet and diabetes

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons étudié avec les microscopes optique et électronique les îlots de Langerhans du pancréas de rats des sables normaux et diabétiques. Lorsqu'ils sont maintenus à un régime normal de laboratoire, on observe chez ces animaux une dégranulation des cellulesβ et les signes d'une synthèse protéique augmentée. Dès qu'apparaît le diabète, on voit apparaître une infiltration glycogénique avec déplacement des organelles cellulaires et, plus tard, une dégénérescence cyptoplasmique avec liquéfaction. L'apparition de ces anomalies morphologiques a été mise en corrélation avec les altérations du glucose sanguin et de l'insuline immunoréactive sérique. Ce qui est remarquable chez le rat des sables, c'est qu'il ne semble pas être à même de s'adapter à l'apport calorique plus concentré de la nourriture de laboratoire. Il réagit par une surproduction insulinique, surproduction qui, en général, évite la cétose. Parfois, cette surproduction suffit à ramener le sucre sanguin à la normale. Dans des cas plus rares, la stimulation de la sécrétion insulinique se termine par une dégénérescence et une nécrose des cellulesβ avec céto-acidose mortelle.

Abstract: Zusammenfassung Es wird über elektronen- und lichtmikroskopische Untersuchungen an Pankreas-Inseln normaler und diabetischer Sandratten berichtet. Nach Verabreichung einer synthetischen Keks-Diät wurden eine Degranulation derβ-Zellen und Zeichen einer vermehrten Proteinsynthese beobachtet. Gleichzeitig mit dem Auftreten von Diabetes erfolgte Glykogeninfiltration, begleitet von einer Verdrängung der Zellorganellen und gelegentlicher Degeneration und Verflüssigung des Cytoplasmas. Diese Veränderungen wurden mit Blutzucker-und immunreaktivem Serum-Insulinspiegel in Zusammenhang gebracht. — Sandratten sind einzigartig in der Hinsicht, daß sie nicht in der Lage sind, das vermehrte Kalorienangebot der synthetischen Diät auf normale Art zu bewältigen. Sie reagieren mit Mehrproduktion von Insulin. Die gesteigerte Insulmausschüttung hält das Tier gewöhnlich frei von Ketose, bringt den Blutzucker gelegentlich auf normale Werte zurück, endet aber in seltenen Fällen mit einer Degeneration und Nekrose derβ-Zellen mit anschließender fataler Ketoacidose.

Notes: Summary Ultrastuctural and light microscopic studies of pancreatic islets in normal and diabetic sand rats are reported. Following the institution of a synthetic chow diet, beta cell degranulation and enhanced protein synthesis were observed. With the appearance of diabetes, glycogen infiltration occurred, with displacement of cellular organelles and eventual cytoplasmic degeneration and liquefaction. These alterations were correlated with blood glucose and serum immunoreactive insulin levels. — The sand rats are unique in that they are not able to cope with the increased caloric load of synthetic chow. They respond by marked insulin production; an increase that usually maintains the animal free of ketosis, occasionally returns them to a euglycemic state, and may rarely be terminated by beta cell degeneration and necrosis with fatal ketoacidosis.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222192

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Studies on experimental diabetes in the Wellesley hybrid mouse (1967)

Cahill, G. F. ; Jones, E. E. ; Lauris, V. ; [et al.]

Springer

Diabetologia 3 (1967), S. 171-174

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Wellesley hybrid mouse ; Hybrid mouse diabetes ; Genotype:C3Hf×I-Fl ; Strains of mice: C3Hf and I ; Mice: C3Hf and I ; Insulin response ; Insulin resistance ; Nutrition and diabetes ; Diet and diabetes ; Insulin and diabetes ; Insulin in serum ; Obesity ; Adipose tissue in vitro ; Diaphragm in vitro

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé L'hybride F1 produit par le croisement des souches de souris C3Hf et I (souris de Wellesley) est prédisposé au diabète. Dans cette étude nous avons observé que les animaux devenus diabétiques avaient des taux élevés d'insuline immunoréactive sérique et que leurs tissus périphériques étaient moins sensibles à l'action de l'insulinein vitro. Un régime hypocalorique a pu prévenir l'apparition du diabète et maintenir une sensibilité normale à l'insuline.

Abstract: Zusammenfassung Die Kreuzung von C3Hf und I Mäusestämmen ergibt ein F1 Hybrid (die “Wellesley” Maus) mit Veranlagung für Diabetes mellitus. Bei der Untersuchung dieser Tiere wurde festgestellt, daß solche, bei denen das diabetische Syndrom sich entwickelt hatte, erhöhte Spiegel von immunreaktivem Insulin im Serum aufwiesen, und daß ihre peripheren Gewebein vitro weniger empfindlich auf Insulin reagierten. Diät-beschränkung verhinderte das Auftreten von Diabetes und bewahrte die Insulinempfindlichkeit der peripheren Gewebe.

Notes: Summary A hybrid of C3Hf and I strains of mice (the “Wellesley” mouse) results in an animal with a predisposition to diabetes mellitus. In this study it was found that animals that developed the diabetic syndrome had elevated levels of immunoreactive insulin in their serum, and peripheral tissues thatin vitro were less responsive to insulin. Dietary restriction prevented the diabetes from occurring as well as maintaining insulin sensitivity in peripheral tissue.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222194

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Studies on experimental diabetes in the Wellesley Hybrid mouse (1967)

Gleason, R. E. ; Lauris, V. ; Soeldner, J. S.

Springer

Diabetologia 3 (1967), S. 175-178

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Wellesley hybrid mouse ; Hybrid mouse diabetes ; Genotype: C3Hf XI-Fl ; Strains of mice: C3Hf and I ; Mice: C3Hf and I ; Swiss-Hauschka mice ; Hauschka Swriss mice ; Nutrition and diabetes ; Diet and diabetes ; Beta cell hyperplasia ; Insulin in Serum ; Obesity ; Caloric Intake

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Des souris hybrides produites par le croisement des souches C3Hf et I ont été soumises à une alimentation standard de laboratoire, à deux niveaux de concentration calorique. De plus, des souris d'une souche ordinaire ont reçu leur nourriture sous forme de poudre ou de conglomérés. Dans tous ces cas, nous avons observé une corrélation entre l'hyperglycémie, l'accroissement de poids et les taux sériques élevés d'insuline immunoréactive résultant de l'apport augmenté de calories. Ces observations soulignent l'importance extrême du régime dans l'étude du diabète expérimental.

Abstract: Zusammenfassung Mäuse, die aus der Kreuzung C3HfXI hervorgingen, und die zu einer milden Form von Diabetes und Hyperplasie der Bauchspeicheldrüse neigen, erhielten zwei Sorten Laboratoriumskeks von unterschiedlichem Kaloriengehalt. Einem Stamm gewöhnlicher Labormäuse wurde außerdem das Futter als Pulver oder in Keks-Form verabreicht. Hyperglykämie, vermehrte Gewichtszunahme und erhöhte Spiegel an immunreaktivem Insulin verhielten sich untereinander parallel und waren das Resultat vermehrter Kalorienaufnahme. Diese Untersuchungen heben die kritische Rolle der Diät bei Studien des experimentellen Diabetes hervor.

Notes: Summary Hybrid mice that develop mild diabetes and pancreatic hyperplasia were fed chow rations at two caloric concentrations. In addition, a strain of commercial laboratory mice were fed these diets in both powdered and pellet form. In all animals, hyperglycemia, increased weight gain, and elevated levels of immunoreactive insulin in serum were correlated with each other and resulted from increased caloric intake. These studies emphasize the critical role of diet in the study of experimental diabetes.

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URL: http://dx.doi.org/10.1007/BF01222195

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Studies on a diabetic (KK) strain of the mouse (1967)

Nakamura, Mitsuo ; Yamada, Kazuyori

Springer

Diabetologia 3 (1967), S. 212-221

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; KK mice ; Japanese mice ; Obesity ; Growth hormone ; Pituitary ; Islets of Langerhans ; Pancreas ; Ultrastructure ; Beta cells ; Insulin in pancreas ; Sex and diabetes ; Adrenal cortex ; Zinc

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé 1. Un état diabétique est démontré chez des souris d'une souche japonaise, la souche KK, mis en évidence par une élévation du sucre sanguin et par une diminution de la tolérance au glucose. 2. Le poids corporel des souris KK dépasse la normale; il s'agit d'une obésité modérée. 3. L'activité insulinique du pancréas et le contenu en hormone de croissance de l'hypophyse de souris KK dépassent ceux observés chez des souris C57BL. 4. Histologiquement, on trouve chez les souris KK une hypertrophie et une hyperplasie des îlots de Langerhans, une hypertrophie et une dégranulation des cellules B, une abondance de ribosomes et de réticulum endoplasmique des cellules B, un développement marqué de la région de Golgi des mêmes cellules, et une diminution du contenu en zinc des cellules insulaires. D'autres anomalies ont également été observées dans d'autres organes des souris KK, plus particulièrement pour l'hypophyse, le foie, les surrénales et la parathyroïde.

Abstract: Zusammenfassung 1. Bei Mäusen des KK-Stammes (japanische Zucht) ist mit Bestimmung von Glucosetoleranz und Blutzuckerwerten ein diabetischer Zustand nachweisbar. 2. Das Körpergewicht von KK-Mäusen liegt über der Norm, und es besteht eine leichte Fettsucht. 3. Die Insulinaktivität des Pankreas und der Gehalt der Hypophyse an Wachstumshormon sind bei KK-Mäusen höher als bei C57BL-Mäusen. 4. Das Pankreas der KK-Mäuse zeigt auffallende Veränderungen, wie Hypertrophie und Degranulierung derβ-Zellen, reichlich Ribosomen und endoplasmatisches Reticulum in denβ-Zellen, sowie starke Ausbildung des Golgiapparates und Verminderung des Zinkgehaltes der Inselzellen. 5. Auch andere Organe (z.B. Adenohypophyse, Leber, Nebenniere und Nebenschilddrüse) der KK-Mäuse weisen Veränderungen auf.

Notes: Summary This review demonstrates the following points:1. By glucose tolerance test and the determination of non-fasting blood sugar values, mice of KK strain (a Japanese strain) have been shown to be in a diabetic state. 2. KK mice have greater than normal body weights, and moderate obesity. 3. Pancreatic insulin activity and adenohypophyseal growth hormone content of KK mice are greater than those of C75BL mice. 4. The pancreas of KK mice presents many striking changes, such as the hypertrophy and hyperplasia of the islets, the hypertrophy and degranulation of B cells, the abundance of B cell ribosomes and endoplasmic reticulum, the enlargement of the Golgi areas of B cells, and the diminution of the zinc content of insular cells. 5. In other organs (eg. adenohypophysis, liver, adrenal and parathyroid) of KK mice, many changes are also observed. The above features of KK mice are discussed in relation to the presumed metabolic disorder in the mice.

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URL: http://dx.doi.org/10.1007/BF01222198

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Some metabolic aspects of the obese-hyperglycemic syndrome in mice (1967)

Hellman, Bo

Springer

Diabetologia 3 (1967), S. 222-229

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Obese mice ; Genotype: obob ; Obese-hyperglycemic syndrome ; Screening ; for diabetes ; Testis ; Obesity ; β-glucuronidase ; Isocitrate metabolism ; Muscle ; Liver ; Adipose tissue

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons passé en revue quelques aspects du métabolisme des souris obèses-hyperglycémiques observés dans la colonie suédoise de ces animaux. Nous avons développé une méthode de dépistage qui permet de reconnaître très tôt les animaux qui, plus tard, deviendront obèses et hyperglycémiques. L'injection intrapéritonéale de glucose mène plus fréquemment à une glucosurie chez les souris homozygotes (obob) même avant le sevrage, suggérant donc que l'anomalie du métabolisme du glucose est une lésion primaire chez ces animaux. Le syndrome est en outre associé à une activité endocrine réduite du testicule. Une comparaison quantitative des structures testiculaires d'animaux obèses-hyperglycémiques soumis à un régime strict, et d'animaux obèses à la suite d'hyperphagie provoquée par l'injection d'aurothioglucose, permet d'affirmer que cette diminution de la fonction endocrine testiculaire est le résultat de facteurs autres que l'hyperphagie ou l'obésité. Une augmentation de laβ-glucuronidase sérique et artérielle ayant été décrite chez des malades atteints de diabète ou d'artériosclérose sévères, cette activité enzymatique a été mesurée chez les souris obèses-hyperglycémiques. Une activité enzymatique accrue n'a été observée que pour les surrénales. La déshydrogénation de l'isocitrate procède plus activement par la voie requérant le cofacteur NADP+ dans les tissus musculaires et hépatiques de souris obèses-hyperglycémiques, que ce n'est le cas pour les tissus de souris nonobèses. Pourtant, cette utilisation préférentielle de l'enzyme NADP+-dépendant n'est pas nécessairement liée à la lipogénèse accrue observée chez ces animaux, puisque cette même préférence ne se retrouve pas lorsqu'on compare le tissu adipeux d'animaux obèses et non-obèses de mêmes nichées.

Abstract: Zusammenfassung Auf Grund von kürzlich durchgeführten Untersuchungen an der schwedischen Kolonie von fettsüchtig-hyperglykämischen Mäusen werden hier einige Gesichtspunkte über den Stoffwechsel dieser Tiere dargestellt. Eine neue Arbeitsweise hat es uns ermöglicht schon früh Mäuse, die später zu Fettsucht und Hyperglykämie neigen, zu entdecken. Intraperitoneale Glucoseinjektionen führten häufiger zur Glucosurie in denjenigen noch nicht entwöhnten Tieren, die für das fettsüchtig-hyperglykämische Gen homozygot sind. Diese Tatsache weist auch darauf hin, daß die Störung des Glucosestoff-wechsels wahrscheinlich eine primäre Anomalie darstellt. Das fettsüchtig-hyperglykämische Syndrom geht parallel mit einer verminderten endokrinen Aktivität der Hoden. Quantitative mikroskopische Untersuchung der Hoden von sowohl fettsüchtig-hyperglykämischen Mäusen bei Beschränkung der Nahrungsaufnahme, als auch von Mäusen mit Goldthioglucose-bedingter Hyperphagie und Fettsucht deuten darauf, daß andere Faktoren als Überfressen oder Fettsucht für das Abnehmen der Hodenfunktion verantwortlich sind. Im Serum oder in den Arterien von Patienten mit Diabetes oder Arteriosklerose ist eine Vermehrung derβ-Glucuronidase-Aktivität nachgewiesen worden. Beifettsüchtig-hyperglykämischen Mäusen war aber nur in den Nebennieren eine höhereβ-Glucuronidase-Aktivität als bei nicht-fettsüchtigen Tieren nachzuweisen. Untersuchung der enzymatischen Dehydrogenierung von Isocitrat zeigte, daß Isocitrat im Skelettmuskel und in der Leber dieser fettsüchtig hyperglykämischen Mäuse vorwiegend über das NADP+-abhängige Enzym dehydrogeniert wird. Diese Beobachtung ist nicht unbedingt mit der Hyperlipogenese verbunden, da das Fettgewebe von fettsüchtig-hyperglykämischen Mäusen im Vergleich zu dem der mageren nicht dieselbe Bevorzugung des NADP+- abhängigen Enzyms aufweist.

Notes: Summary Some aspects of the metabolism of obesehyperglycemic mice are presented in the light of recent observations on the Swedish colony of these animals. A screening procedure has been elaborated, which allows early detection of those growing mice that will later develop the obese-hyperglycemic syndrome. The observation that intraperitoneal glucose injections induce a higher frequency of glucosuria in those suckling mice which are homozygous for the obese-hyperglycemic gene furthermore suggests that the impairment of the glucose metabolism represents a primary lesion in these animals. The obese-hyperglycemic syndrome is associated with a reduced endocrine activity of the testis. Quantitative microscopic analyses of the testis, both from obese-hyperglycemic mice kept on a restricted food intake and from mice in which hyperphagia and obesity had been induced by injections of gold thioglucose, revealed that other factors than overeating and/or obesity are responsible for the depression of the testis function. An increased activity ofβ-glucuronidase has been reported in serum and arteries from inviduals with diabetes or severe arteriosclerosis. However, among the various tissues analysed in the obese-hyperglycemic mice only the adrenals displayed a significantly higherβ-glucuronidase activity than the lean litter mates. Studies of the enzymatic dehydrogenation of isocitrate revealed considerably higher ratios between the NADP+- and NAD+-specific enzyme activities in the skeletal muscle and liver from the obese-hyperglycemic mice. The observation that the liver dehydrogenation of isocitrate was more dependent on NADP+ in the latter animals must not necessarily be attributed to the presence of a hyperlipogenesis, since similar ratios were recorded for the NADP+- and NAD+-linked isocitric dehydrogenase activities when the adipose tissue from the obese-hyperglycemic mice was compared with that from the lean sibling controls.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01222199

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Diabetes mellitus in the Chinese hamster (1967)

Shirai, Takeshi ; Welsh, George W. ; Sims, Ethan A. H.

Springer

Diabetologia 3 (1967), S. 266-286

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ISSN: 1432-0428

Keywords: Spontaneous Diabetes ; Chinese hamster ; Cricetulus griseus ; Kidney ; Renal glomerulopathy ; Capillaries ; Basement membrane ; Ultrastructure ; Mesangium

Source: Springer Online Journal Archives 1860-2000

Topics: Medicine

Description / Table of Contents: Résumé Nous avons étudié aux microscopes optique et électronique les glomérules rénaux de 11 hamsters chinois non-diabétiques, de 4 hamsters non-diabétiques mais provenant de nichées comportant des animaux diabétiques, et de 6 animaux ayant souffert d'un diabète de durée et de sévérité variables. Le vieillissement en soi est associé à une augmentation du mésangium et à une dilatation des capillaires avec léger épaississement de la membrane basale. Chez les diabétiques sévères de type juvénile, nous avons observé des altérations profondes des cellules mésangiales, avec la formation de vésicules, de corps multivésiculaires, de vacuoles et une apparence lavée du cytoplasme avec désorganisation mitochondriale. Ce n'est qu'aux stades les plus avancés qu'on observe une augmentation de la matrice mésangiale. Aux premiers stades, les membranes basales sont minces, particulièrement pour les capillaires dilatés. A des stades plus avancés, on trouve des régions épaisses et des régions minces de la membrane basale; certainement pas d'épaississement généralisé. Bien que des altérations semblables eussent été observées avec le vieillissement simple, les altérations des cellules mésangiales, la coalescence, la dilatation cystique et la fusion des anses capillaires des glomérules sont caractéristiques d'une glomérulopathie diabétique chez les animaux jeunes. Les altérations sont beaucoup plus marquées à des stades plus avancés de l'état diabétique. La diminution du nombre des anses capillaires est probablement le résultat de la coalescence des capillaires. Les cellules épithéliales sont bien préservées dans tous les glomérules et il n'y a pas de lésions nodulaires. Nous n'avons pas observé de lésions glomérulaires semblables chez les frères et soeurs des animaux diabétiques ne souffrant pas eux-mêmes d'un diabète patent. Il semblerait y avoir une analogie entre la dilatation et la coalescence des capillaires du glomérule en présence d'altérations des cellules mésangiales et la dilatation des capillaires rétiniens associée à la dégénérescence des cellules murales, ou péricytes, chez l'homme.

Abstract: Zusammenfassung Wir haben im Licht- und im Elektronen-Mikroskop die renalen Glomeruli von 11 Kontrolltieren, von 4 nicht-diabetischen Tieren aus gleichem Wurf wie diabetische Hamster, und von 6 Tieren mit Spontan-Diabetes verschiedenen Alters, sowie mit unterschiedlicher Dauer und Schwere des Krankheitsbildes, untersucht. Zunehmendes Alter führte zur Zunahme der mesangialen Matrix mit einiger Erweiterung der Kapillaren und Verdickung der Basalmembran. Bei früh einsetzendem schweren Diabetes wurden schwere Veränderungen der Mesangialzellen beobachtet, bestehend aus Vermehrung der vesikulären Bläschen, Entstehung von multi-vesikulären Strukturen, Vacuolen, und einem verwaschenen Aussehen des Zytoplasmas, sowie mitochondrialer Desorganisation. Bei vorgerücktem Krankheitsbild bestand eine deutliche Zunahme der mesangialen Matrix. Anfänglich war die Basalmembran dünn, besonders in den erweiterten Kapillaren. Später, wies die Basalmembran sowohl verdickte wie verdünnte Stellen auf. Obwohl ähnliche Veränderungen auch mit zunehmendem Alter zu sehen waren, ließ die Beobachtung von Veränderungen der mesangialen Zellen, von zystischer Erweiterung und Verschmelzen von Kapillarschlingen beijungen Hamstern sicher auf diabetische Glomerulopathie schließen. Diese Veränderungen waren denn auch verhältnismäßig noch deutlicher und besonders charakteristisch in späteren Stadien der Krankheit. Die Fusion von Kapillaren erklärt vielleicht die Abnahme der Zahl der Kapillarschlingen. Die Ausläufer der Epithelialzellen blieben in allen Glomeruli wohl erhalten und es waren keine noduläre Läsionen zu sehen. In den von uns beobachteten Tieren waren solche Veränderungen der Glomeruli bei nicht-diabetischen Tieren nicht zu sehen. Es wird darauf hingewiesen, daß zwischen der Erweiterung und der Fusion von Kapillarschlingen, im Zusammenhang mit Veränderung der mesangialen Zellen, und der Erweiterung von Kapillaren der Netzhaut, im Zusammenhang mit Degeneration deren Perizyten beim Menschen, eine Analogie besteht.

Notes: Summary Light and electron microscopic studies were made of the renal glomeruli of 11 control Chinese hamsters, 4 siblings of diabetic hamsters, and 6 with spontaneous diabetes of varying age of onset, duration, and severity. Aging alone was associated with an increase in mesangial matrix and some degree of capillary dilatation and thickening of the basement membrane. In severe diabetes of early-onset, there was a marked change in mesangial cells, consisting of an increase in vesicles, multivesicular bodies, vacuoles, ghost-like appearance of the cytoplasm, and mitochondrial disorganization. Only in the more advanced stages was there an increase in the mesangial matrix. Initially, the basement membrane was thin, particularly in dilated capillaries. Measurements of the basement membrane in the later stages indicated that there were both thick and thin areas; increased thickness alone was not characteristic. Although similar findings developed progressively with age, mesangial cell alterations, coalescence and cystic dilatation and fusion of capillary loops in the glomeruli of young hamsters were characteristic findings of diabetic glomerulopathy. These findings were characteristic and disproportionately marked in any later stage of the disease. Coalescence of capillaries may have explained the decrease in the number of loops. The foot processes of the epithelial cells were well-preserved in all glomeruli and nodular lesions were not seen. There was no evidence in this series that litter-mates of diabetic animals developed such glomerular lesions in the absence of overt diabetes. An analogy was suggested between the dilatation and coalescence of glomerular capillaries associated with mesangial cell changes and the dilatation of retinal capillaries associated with degeneration of the supporting mural cells in man.

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URL: http://dx.doi.org/10.1007/BF01222203

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Optical rotatory dispersion of E. coli ribosomes and their constituents (1967)

Sarkar, P. K. ; Yang, J. T. ; Doty, Paul

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 1-4

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: Investigations have been made on the optical rotatory dispersion properties of E. coli ribosomes and their constituent RNA and proteins. The results indicate that (1) no conformational changes are involved in the formation of a 70S particle from the 50S and 308 subunits, (2) the E. coli ribosomal proteins are similar to most globular proteins with little α-helix content, and (3) the conformation of RNA and proteins inside the ribosome is very similar to that in the free state.

Additional Material: 1 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050102

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Molecular configuration of amylose and its complexes in aqueous solutions. Part II. Relation between the DP of helical segments of the amylose-iodine complex and the equilibrium concentration of free iodine (1967)

Szejtli, J. ; Richter, M. ; Augustat, S.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 5-16

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The iodine which is added to an aqueous amylose solution is bound only partly by the amylose while forming the blue complex and partly remains free. The equilibrium normality of the free and the bound iodine at half-saturation of amylose by iodine is designated as [If]v and [Ib]w, respectively. The stability of the poly iodine chain formed within the axis of amylose helices depends on its length, i.e., indirectly on the DP of the amylose helices: the greater this stability, the lower the [If]v value. The amylose molecule consists of helical segments. Such a molecule may behave as a random coil. The average length of the helical segments in freshly prepared amylose-iodine complexes depends on temperature, pH, iodide concentration, the presence of other complex-forming agents, and the DP of the amylose. This latter factor is investigated in the present paper. By the aid of an automatically recording photometrictitrating device the coherent values of [Ib] and [If] were determined. Plotting these values against DPn for mechanochemically degraded as well as for periodateo-xidized amyloses resulted in curves consisting of two linear sections. The break of the curves occurred between DPn 110 and 130. It was concluded that below DPn = 100 the DP of helical segments (= sDPn) is identical to the DPn of the total molecule, i.e., the molecule consists of only a single, relatively stiff helix. Above this limit the molecule contains several helical segments. The DP of these helical segments can be calculated as follows: sDPn = 141.1 - 10.2 × 105[If]v. This equation is considered to be valid for 0.5-0.6 mg. amylose in 100 ml. 0.1N HCl at 20°C., λ = 650 mμ, euuvet diameter 3.4 cm., the feed rate of the iodate-iodide titrating solution (in acid medium resulting in a 5 × 10-3N I2 solution with a molar iodide to iodine ratio of 1.5) is 0.4ml./min. Amylose molecules of, e.g., DPn = 1380 consist of an average of 11.4 segments having a DP of about 120 and consisting of an average of 15-18 helical turns.

Additional Material: 6 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050103

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Wechselstrompolarographische kriterien der nucleinsäuredenaturierung (1967)

Berg, H. ; Bär, H. ; Gollmick, F. A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 61-68

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The electrochemical possibilities for investigation of nucleic acids with high molecular weight are restricted to the determination of the adsorption behavior. According to our experience the alternating current polarography (Breyer-polarography) is mainly appropriate for the characterization of changes in the secondary structure of DNA. The Breyer-polarogram shows the alternating current of the dropping electrode in dependence on their potential which varied from 0-2 v. negative against the normal calomel electrode (NCE). By addition of native DNA to the supporting electrolyte (buffer solution) the current drops down in the range of adsorption between 0 and 1 v. At 1.16 v. against NCE the desorption takes place together with the formation of a rounded desorption peak. The investigation was carried out in phosphate buffer solution 0.1m with 0.075m NaCl or in a phosphate buffer 0.18m with 0.03m NaCl. In the pH range above pH 8 NaOH was added to realize the higher pH values. A calf thymus DNA sample having a mean molecular weight of about 18 million was used. The concentration of DNA was 5 × 10-3-1 × 10-1 wt.-%. The polarographic measurements were performed with an a.c./d.c.-polarograph “GWP 564” from Akademiewerkstätten für Forschungsbedarf der Deutschen Akademie der Wissenschaften zu Berlin (DAW). The denaturation of the double helix causes a sharp desorption peak at negative potentials of the alternating current polarogram. This new criterion for the helix-coil transition is due to formation of unpaired bases. These nearly free bases undergo a specific adsorption and the desorption takes place within a narrow potential range. Nevertheless, at present time an electron transfer to particular bases cannot be excluded at special conditions. The increase of the sharp peak permits to estimate: (a) the melting curve of the double helix in agreement with spectroscopic measurements; (b) the photolysis of the double helix; (c) the strand separation in acid and alkaline solution. In the alkaline range the sharp peak increases and reaches its maximum at pH 〉 12. In the acid range, however, no sharp peak is observed and the rounded desorption peak decreases. Therefore, the best way of following the conformation changes is to measure the current difference between the curves of the solutions with and without DNA at electrocapillary-zero-potential. On the classical d.c.-polarogram one can measure small current steps only, which may be caused mainly by capacity changes. Moreover, the scission of the molecule by ultrasonic action can be followed. In this case the rounded peak of DNA increases but the sharp peak does not appear. Similar alternating current polarograms are obtained with poly-A in the native state, because helical and unordered regions coexist in the same molecule. The very rapid indication of these structure changes allows one to carry out kinetic measurements at a fixed potential with this method.

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URL: http://dx.doi.org/10.1002/bip.1967.360050107

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Frictional coefficients of multisubunit structures. I. Theory (1967)

Bloomfield, V. ; Dalton, W. O. ; Van Holde, K. E.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 135-148

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The theory of Kirkwood for the translational frictional coefficients of structures composed of subunits has been generalized in two ways in order to consider aggregates of nonidentical subunits. One of these generalizations fails when the sizes of subunits are too disparate; the other, derived from a surface shell distribution of frictional elements, is effective over the whole range of relative sizes. It is shown that, in the limit of a continuous surface distribution, a shell model reproduces Stoke's law for a sphere. Comparison is made between the frictional coefficients of spheres, ellipsoids, and rods modeled by finite numbers of subunits and by continuous shells of frictional elements, and those calculated from other theories. Agreement is generally good, though the shell model for prolate ellipsoids of revolution deviates by a few per cent from the Perrin value.

Additional Material: 5 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050202

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Application of matrix rank analysis to the optical rotatory dispersion of TMV RNA (1967)

McMullen, D. W. ; Jaskunas, S. R. ; Tinoco, Ignacio

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 589-613

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The method of matrix rank analysis has been applied to a large body of experimental data to determine and identify the minimum number of independent spectral components that, were contained within it. The optical rotatory dispersion of TMV RNA was measured in the wavelength region 230-350 mμ, for a wide range of temperatures and ionic strengths. Over the whole range of conditions considered, the observed optical rotatory dispersion spectra were found to be a superposition of two basic spectra only. Evidence is put forward relating these spectra to the single-strand and double-strand helical forms of the molecule. A model is proposed to explain the observed spectral changes in terms of an equilibrium between these two conformations, which leads to a direct calculation of the percentage composition of the double strand at any of the conditions considered. This equilibrium, while simple in general description, appears multi-state and complex in detail. This method of analysis is both powerful and of wide applicability, since it is independent of the source of the data.

Additional Material: 15 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050702

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Transient distributions arising from initially sharp boundaries in the ultracentrifugePresented at a meeting of the Physical Biochemistry Group, British Biophysical Society, King's College, London, Jan. 4, 1967. (1967)

Charlwood, P. A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 663-672

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: An infinite series solution to the Mason-Weaver equation is presented for the case in which a synthetic boundary is formed originally between solution and solvent. Digital computations based on this series, and confirmed independently, have been made for a range of parameters. For given conditions, the maximum rate of change of concentration at the meniscus and the time at which it occurs can be easily estimated by means of the curves presented. In equilibrium experiments which commence with formation of a sharp boundary, this enables the fringes to be identified with certainty.

Additional Material: 6 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/bip.1967.360050707

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Experimental thermodynamics of the helix-random coil transition. I. Influence of polymer concentration and solvent composition in the PBG-DCA-EDC system (1967)

Ackermann, Theodor ; Neumann, Eberhard

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 649-662

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: The course of the reversible helix formation of poly(γ-benzyl L-glutamate) (PBG) dissolved in a mixture of dichloroacetic acid (DCA) and 1,2-dichloroethane (EDC) was followed by measuring the heat capacity and the optical rotation of the system through the transition region. The results of these measurements indicate that the transition enthalpy ΔH the transition temperature Tc, and the Zimm-Bragg parameter σ depend considerably on the PBG concentration as well as on the composition of the solvent. For the standard state of infinite dilution, however, a linear extrapolation of the measured ΔH if values results in a standard value ΔH° = 950 cal./mole, independent of the solvent composition. The results of the calorimetric measurements are discussed in relationship to changes in optical rotation. Some peculiarities in the measured thermodynamic and optical properties in solutions with relatively high content of dichloroacetic acid are reported.

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URL: http://dx.doi.org/10.1002/bip.1967.360050706

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General method for calculating helical parameters of polymer chains from bond lengths, bond angles, and internal-rotation angles (1967)

Sugeta, Hiromu ; Miyazawa, Tatsuo

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 673-679

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: Helical conformations of infinite polymer chains may be described by the helical parameters, d and θ (the translation along the helix axis and the angle of rotation about the axis per repeat unit), pi (the distance of the ith atom from the axis), dij, and dij (the translation along the axis and the angle of rotation, respectively, on passing from the ith atom to the jth). A general method has been worked out for calculating all those helical parameters from the bond lengths, bond angles, and internal-rotation angles. The positions of the main chain and side chain atoms with respect to the axis may also be calculated. All the equations are applicable to any helical polymer chain and are readily programmed for electronic computers. A method is also presented for calculating the partial derivatives of helical parameters with respect to molecular parameters.

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URL: http://dx.doi.org/10.1002/bip.1967.360050708

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Volume changes accompanying collagen denaturation (1967)

Christensen, R. G. ; Cassel, J. M.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 685-689

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Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: A dilatometric technique is employed to measure the volume changes occurring on denaturation of collagen solutions and tendons. Partial specific volumes of tropocollagen are calculated to be 0.686 ml./g. in water and 0.689 ml/g in 0.1M citrate buffer. From data on non-aqueous solutions, it is estimated that most of the volume change arises from changes in polymer configuration rather than from changes in solvation.

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URL: http://dx.doi.org/10.1002/bip.1967.360050802

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Numerical solutions of the Lamm equation. III. Velocity centrifugation (1967)

Dishon, Menachem ; Weiss, George H. ; Yphantis, David A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 697-713

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: We have generated solutions to the Lamm equation to examine the effects of concentration dependence on velocity experiments. Two forms of c dependence are considered: s/s0 = 1 - kc and s/s0 = (1 + kc)-1. Features of these solutions are discussed. The magnitude of the errors resulting from the usual procedure of measuring the rate of movement of schlieren maxima or of the position at which the concentration is one half the plateau value have been examined. These errors are usually negligible after sufficient centrifugation time. The errors in using the half-plateau concentration are less than those using the movement of the peak. We have also examined a technique due to Fujita for determining D from boundary spreading when s/s0 = (1+kc)-1. This method is satisfactory when s/s0 is actually of this form, or under certain limitations when s/s0 = (1 + kc)-1. Creeth has shown that under certain conditions the concentration gradient, curve remains virtually unchanged in shape after separating from the meniscus. When this occurs it is possible to estimate s/D from the data. The condition for such a steady state is that kc0 be sufficiently large. Numerical confirmation of this method is presented in the final section.

Additional Material: 15 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050804

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Variation in the intensity of scattered light by solutions of DNA subjected to an electric field (1967)

Scheludko, A. ; Stoylov, S.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 723-726

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ISSN: 0006-3525

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: Preliminary experiments have been carried out which measure the variation in the intensity of the light scattered by DNA solutions under the influence of an electric field. Data have been collected on the length of DNA molecules, their electric polarizability, and their dispersion behavior.

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URL: http://dx.doi.org/10.1002/bip.1967.360050806

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Topography of nucleic acid helices in solutions. II. Structure of the double-stranded rA-rU, rI-rC, acid rA, and the triple-stranded rA-rU2 and rA-rI2 helices (1967)

Gabbay, Edmonxd J.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 727-747

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Source: Wiley InterScience Backfile Collection 1832-2000

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Notes: Information concerning the structures of rA-rU, rA-rU2 rI-rC, rA-rI2, and acid rA helices in solutions is reported. Through the use of diquaternary ammonium salts of the general structure, \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm R}_1 {\rm R}_2 {\rm R}_3 \mathop {\rm N}\limits^ + ({\rm CH}_2 )n\mathop {\rm N}\limits^ + {\rm R}_1 {\rm R}_2 {\rm R}_3 \cdot 2{\rm Br}^ - $\end{document} (I), it is shown that (1) the distances between adjacent negatively charged oxygen atoms on the helix increases in the following order rA-rI2 〈 rI-rC 〈 rA-rU ≤ rA-rU2; (2) the density of the helices increases in the order. rA-rI2 〈 rA-rU 〈 rA-rU2 〈 rI-rC; (3) there is a large hydrophobia site in rA-rI2 and possibly also in rA-rU, rA-rU2, and rI-rC helices; (4) the results of the interactions between the salts of type I and the helices may be formulated in semi-quantitative terms by the use of two parameters, α, and β which are shown to be related to the charge separation and the density of the helices, respectively; (5) the studies in solutions compare favorably with the x-ray studies on the fibers; and (6) the acid rA helix differs significantly from the other helices by the fact that the electrostatic interstrand interactions between the negatively charged oxygen atom of a phosphate group and the positively charged 10-amino group of adenine contribute significantly to the stabilization of the helix, and thus it is found that the presence of the salts, I, leads to a significant destabilization of the acid rA helix.

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URL: http://dx.doi.org/10.1002/bip.1967.360050807

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Noncomplementarity in base sequences between the cohesive ends of coliphages 186 and λ and the formation of interlocked rings between the two DNA's (1967)

Wang, James C. ; Schwartz, Harley

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 953-966

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Notes: The half molecules of 186 DNA have been isolated by the Hg(II)-Cs2SO4 density gradient centrifugal ion technique. The buoyant densities of the two halves in CsCI at 25°C. are 1.713 and 1.709 g./cm.3, corresponding to GC contents of 54% and 50%, respectively. Similarly, 5-bromouracil labeled λ DNA halves were separated. The isolation of the four DNA halves made it possible to test for homology in base sequences between the cohesive ends of λ and those of 186. There was no indication of any significant homology in base sequences between the cohesive ends of the two DNA's, as indicated by the absence of a band with intermediate buoyant density in CsCI when either half of 186 DNA was annealed with either half of 5-bromouracil labeled λ DNA and then centrifuged. The lack of cohesion between the two DNA's made it possible to demonstrate unequivocally the formation of interlocked rings (catenanes) between the two DNA's. The existence of a dimeric catenane is evidenced by the formation of a species of intermediate buoyant density when 5-bromouracil labeled λ DNA is cyclized in the presence of cyclic 186 DNA of a relatively high concentration. The molecular weight of one DNA relative to the other can be calculated from the position of the dimeric catenane in a density gradient by using the method of Baldwin. The result was in complete agreement with our previous measurements from the sedimentation coefficients and by electron microscopy. The probability of dimeric catenane formation when one DNA is cyclized in the presence of another DNA is discussed. The experimental results agree with the theoretical expectation.

Additional Material: 7 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360051008

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Masthead (1967)

New York : Wiley-Blackwell

Biopolymers 5 (1967)

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Source: Wiley InterScience Backfile Collection 1832-2000

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URL: http://dx.doi.org/10.1002/bip.1967.360050901

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Conformational analysis of poly-N-methyl-L-alanine (1967)

Liquori, A. M. ; De Santis, P.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 815-820

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Notes: Sterically allowed forms of the poly-N-methyl-L-alanine chain were found by calculation of conformational energies as a function of the rotation angles of its chain bonds. The lowest energy form seems to be a right-handed, approximately threefold helix.

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X-Ray diffraction of oriented amylose fibers. II. Structure of V amyloses (1967)

Zobel, H. F. ; French, A. D. ; Hinkle, M. E.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 837-845

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Notes: Oriented amylose fibers in the V form were prepared and subjected to x-ray analysis. Unit cells and the probable space group of P212121 were determined for the V anhydrous and V hydrate forms of amylose; the analysis confirms previous predictions of these structures based on x-ray powder patterns. Chain folding in V amyloses is discussed in view of crystallographic evidence and folding experiments conducted with space-filling models. Reported also is evidence for amylose helices having diameters intermediate between 13.0 and 13.7 A.

Additional Material: 2 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050906

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Conformational aspects of polypeptides. XXIV. Conformational energies of poly-N-methyl-L-alanine chainsFor previous paper in this series, see Goodman and Falxa. (1967)

Mark, J. E. ; Goodman, Murray

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 809-814

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Source: Wiley InterScience Backfile Collection 1832-2000

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Notes: Conformational energies of the poly-N-methyl-L-alanine chain have been calculated as a function of the rotational angles of its skeletal bonds, taking into account torsional potentials, van der Waals repulsions, and London attractions. Four pronounced minima in the energy were found; the relative magnitudes of the energies at these minima suggest that the preferred conformation of this chain is either a right-handed, approximately threefold helix, or a slightly distorted, left-handed α-helix. Inclusion of an estimate of the dipolar contribution to the total conformational energy does not significantly affect this conclusion.

Additional Material: 2 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050903

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Molecular configuration of amylose and its complexes in aqueous solutions. Part III. Investigation of the DP distribution of helical segments in amylose-iodine complexes (1967)

Szejtli, J. ; Augustat, S. ; Richter, M.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 17-26

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Notes: The equilibrium normality [If] of free iodine in amylose-iodine complex formation is a function of the length of the polyiodine chains. This length depends on the DP of helical segments of amylose (sDPn). Values of [If] and of the concentration of the bound iodine [Ib] were determined by the continuous photometric titration with automatic recording. Plots of [Ib] versus [If] give an integral distribution curve. Since the relation between [If] and sDPn is known, the graphic differentiation of the [Ib] versus [lf] curve furnishes the differential distribution curve, representing the mass distribution of the helical segments according to their DP. The peak of this curve is characteristic of the percentage and DP of those helical segments, which occur in the largest amount. On the basis of the differential distribution curve the polymolecularity of the investigated sample may be judged. The titration of amylose samples degraded by various methods gives different distribution curves. Titrating mixtures of samples with widely differing average DP values results in differential curves having more than one maximum.

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Structure and optical activity of the DNA-aminoacridine complex (1967)

Gardner, B. J. ; Mason, S. F.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 79-94

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Notes: The electronic absorption and circular dichroism spectra of the DNA-acridine orange complex have been measured over a range of ionic strength, pH, and DNA phosphate to dye (P/D) ratios. Three circular dichroism bands associated with the long wavelength absorption band of acridine orange are induced on complex formation with DNA. Two of the dichroism bands, due mainly to dimeric dye molecules, are favored by low ionic strength, low pH (3.2), and a low P/D ratio (∼3), while the third, deriving primarily from monomeric dye, is optimum at high ionic strength, neutral pH, and a larger P/D ratio (9). The data suggest that monomeric acridine orange binds to DNA in the form of a left-handed helical array with four dye molecules per turn, while the bound dimer has a skewed sandwich conformation which is itself dissymmetric. The stereochemical relations between the bound monomer dye and the DNA are consistent with a modified intercalation model for the DNA-acridine complex.

Additional Material: 7 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050109

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α-Helix formation by solvent-solvent interaction (1967)

Lotan, Noah ; Bixon, Mordechai ; Berger, Arieh

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 69-77

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Notes: The degree of helicity θ of a series of homologous polypeptides as a function of solvent composition was investigated. The polypeptides studied were: poly-N5-(3-hydroxypropyl)-L-glutamine (PHPG) as well as the corresponding 2-hydroxyethyl and 4-hydoxybutyl derivatives (PHKG and PHBG, respectively). PHPG, which is nonhelical in formic acid, attains helicity on addition of relatively small amounts of formates, formamide, and urea to its solution in formic acid. This demonstrates that the high acidity of pure formic acid is largely responsible for its helix-breaking power-probably through protonation of the peptide bonds. In formic acid-water mixtures all three polymers show a maximum in degree of helicity at a mole fraction of about 0.3 formic acid. This is interpreted as being due to interaction between the two helix-breaking solvents, which results in the formation of an inactive molecular species. It is shown that solvent-induced transitions with helicity maxima are predicted by the Bixon-Lifson treatment when applied to this system.

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URL: http://dx.doi.org/10.1002/bip.1967.360050108

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Dielectric properties and oxygenation of hemoglobin (1967)

Hanss, Maxime ; Banerjee, Ramalprasad

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 879-886

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Notes: Dielectric properties of human and horse hemoglobin were studied at frequencies ranging from 20 kc./sec. to 7 Mc./sec. The relative errors in the measurements were usually less than 10-3 even for mildly conducting solutions (10-3M KCl). The experimental setup allowed us variation and measurement of the degree of oxygenation of the protein and to determine its dielectric parameters. Our main conclusion is that it was not possible to find any variation of the dielectric increment for hemoglobin oxygenation levels of 25, 50, 75, and 100%, approximately. This result is at variance with some previous reports. We cannot give the reason for this discrepancy but discuss some possible explanations. The specific dielectric increment, Δεs/c, of human hemoglobin was shown to be significantly smaller than that of horse hemoglobin (0.28 against 0.32). This physical property is lowered with increasing ionic strength I: Δεs/c = 0.28 and 0.20 for I = 10-4 and 10-3, respectively (human protein).

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URL: http://dx.doi.org/10.1002/bip.1967.360051002

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Effect of binding on melting transitions in polymer-diluent systems (1967)

Orofino, T. A. ; Ciferri, A. ; Hermans, J. J.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 773-783

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Notes: An expression is derived for the melting point of a polymer when in equilibrium with a solution in which binding of low molecular weight compounds to the polymer takes place. Allowance is made for the possibility that the crystalline polymer itself is a complex. The argument is a purely thermodynamic one and is based on a consideration of the change in free energy as a result of a change in binding. Allowance is made also for non-specific polymer-solvent interactions, in which the mixture of low molecular weight solvents is treated as a single solvent. Special attention is paid to “inverted” melting transitions, i.e., cases in which the melting point increases with increasing dilution of the polymer. It is shown that as a rule this is accompanied by a corresponding, inverted effect of the solvent composition on the melting point. It is further shown that-in the absence of binding, “normal” behavior at the critical point (i.e., phase separation is induced by lowering the temperature) is always accompanied by “normal” melting behavior (i.e., a decrease in melting point when the polymer is diluted). Also, “inverted” melting always implies that phase separation at the critical point is induced by heating, but the reverse is not necessarily true.

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URL: http://dx.doi.org/10.1002/bip.1967.360050810

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Masthead (1967)

New York : Wiley-Blackwell

Biopolymers 5 (1967)

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Source: Wiley InterScience Backfile Collection 1832-2000

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URL: http://dx.doi.org/10.1002/bip.1967.360050101

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Enthalpy changes in the helix-coil transition of poly(γ-benzyl L-glutamate) (1967)

Karasz, F. E. ; O'Reilly, J. M.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 27-35

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Notes: The helix-coil transition temperature Tc of poly(γ-benzyl L-glutamate) in binary solvent mixtures of dichloroacetic acid and 1,4-dichlorobutane, 1-chlorooctane, or 1-chlorododecane have been measured. A treatment is presented with which the transition enthalpy can be calculated from the observed dependence of Tc on solvent composition. Results are compared with previously obtained calorimetric data. The underlying assumptions of the calculation are discussed.

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URL: http://dx.doi.org/10.1002/bip.1967.360050105

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Molecular weight fractionation and the self-suppression of complex coacervation (1967)

Veis, Arthur ; Bodor, Edward ; Mussell, Shirley

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 37-59

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Notes: A marked molecular weight fractionation accompanies the demixing or phase separation resulting from the complex coacervation of mixtures of aqueous solutions of salt-free isoionic unfractionated gelatins with pI's of 5 and 9. Viscosity studies show that the fractionation is such that the concentrated phase tends to maintain constant, homogeneous composition. A second feature, seen in phase volume and concentration measurements, is a marked self-suppression of coacervation intensity with increasing mixing concentration. These data were interpreted in terms of a dilute-phase aggregate model which assumes nearly equal electrostatic free energies of mixing in dilute aggregate and concentrated random phase. The driving force for phase separation is the entropy increase upon formation of the random phase but demixing also depends upon the polymer-solvent interaction parameter χ, in the same fashion as in simple coacervation. The dilute-phase aggregate model indicates that the sharp molecular weight selection takes place in the aggregate formation step and explains the self-suppression. Phase equilibria studies utilizing fractionated, paucidisperse high molecular weight gelatins, emphasize the requirement for concentrated phase homogeneity and indicate that aggregates of different molecular weight may act as different components, so that χP1Q1,PkQk 〉 0, bringing about a separation of the system into three or more coexisting phases. The formation of several coexisting phases from a homologous polyelectrolyte system and the very marked requirement for phase homogeneity suggest that the phenomenon of complex coacervation is a very good model for some of the essential steps in the pre-biologic organization of polymeric polyions.

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URL: http://dx.doi.org/10.1002/bip.1967.360050106

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Structure of branched poly-α-amino acids in dimethylformamide. I. Light scatteringPresented at the International Symposium on Macromolecular Chemistry, Prague, September 1965. (1967)

Eliezer, N. ; Silberberg, A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 95-104

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Notes: Light scattering of multichain poly-α-amino acids was studied in dimethylformamide (DMF). The polymers consisted of a backbone of poly-L-lysine of degree of polymerization n with side chains of benzyl L-glutamate and benzyl L-aspartate of degree of polymerization, m, on each ε-amino group. The backbone length n is known and m is obtained by amino acid analysis. The results on a series of such materials confirm this structure and show that the molecules are dissolved in highly compacted conformations. It was found that DMF is a poor solvent for these polymers. In the case of the higher molecular weight polymers, the solutions initially were not molecularly disperse. The aggregates were resistant to dilution in the experimental range. Mild heat treatment, however, disaggregated the solutions irreversibly, and the light-scattering data indicated that a structural rearrangement of the molecules had occurred.

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Structure of branched poly-α-amino acids in dimethylformamide. II. Viscosity, sedimentation, and diffusion (1967)

Eliezer, N. ; Silberberg, A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 105-122

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Notes: The intrinsic viscosity, sedimentation and diffusion of a series of branched, multichain poly-α-amino acids having a poly(L-lysine) backbone and poly(γ-benzyl L-glutamate) and poly (β-benzyl L-aspartate) side chains was studied at room temperature in dimethylformamide. The molecules were found to be extremely compact structures in which the molecular backbone is either lying along the major axis in a slightly twisted configuration (the longer the side chain the smaller the twist) or is coiled up in the form of a disk with backbone and side chains coplanar. Heat treatment (to 70°C.) introduces only small changes in the hydrodynamic parameters showing that the heat-labile aggregates detected by light scattering are reversibly broken up during the hydrodynamic measurements. The above structural information concerns the initial metastable conformation of the molecules which is irreversibly destroyed by heat treatment.

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URL: http://dx.doi.org/10.1002/bip.1967.360050111

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Masthead (1967)

New York : Wiley-Blackwell

Biopolymers 5 (1967)

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Source: Wiley InterScience Backfile Collection 1832-2000

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URL: http://dx.doi.org/10.1002/bip.1967.360050201

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Calculated optical properties of 64 trinucleoside diphosphates (1967)

Cantor, Charles R. ; Tinoco, Ignacio

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 821-835

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Notes: The optical rotatory dispersion and ultraviolet absorption spectra of the 64 trinucleoside diphosphates containing the bases A, U, C, and G have been calculated by using a simple semiempirical approach. These calculations accurately predict the optical properties of the nine trimers for which extensive experimental results are available. The computed optical data should be useful in the identification of oligonucleotides obtained in the course of sequence determination of ribonucleic acids and should simplify the determination of the concentration of oligonucleotides in aqueous solution. Additional calculations indicate that it should be possible to analyze most, mixtures of sequence isomers of trinucleoside diphosphates by direct, measurement of the ORD of the mixture at neutral pH.

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Ultraviolet absorption studies on DNA (1967)

Basu, S.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 876-878

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Additional Material: 1 Ill.

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Polarographic investigation of binding of Cu++ and Cd++ by DNA (1967)

Bach, D. ; Miller, I. R.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 161-172

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Notes: The equilibrium binding constants of Cd++ and Cu++ to native and denatured calf thymus DNA were determined polarographically. The binding constants are an exponential function of the potential at the binding site and as such they vary with ionic strength and with the charge on the DNA molecule. The correlation between the fraction of sites occupied by heavy metal ions and between the thermal stability of DNA in solution is discussed.

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URL: http://dx.doi.org/10.1002/bip.1967.360050204

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Viscolastic relaxations in solutions of poly(glutamic acid) and gelatin at ultrasonic frequencies (1967)

Wada, Yasaku ; Sasabe, Hiroyuki ; Tomono, Makoto

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 887-897

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Notes: Complex shear viscosity η* = η′ - iη″ of poly (L-glutarmic acid) solution was measured by the torsional crystal method at 50 kc./sec. as a function of pH. A sharp peak was found at the midpoint of the helix-coil transition region in both η′ and η″. The relaxation time is calculated from η′ and η″ assuming a single relaxation process and the peak value at the midpoint of transition is estimated at 10-6 sec. Such behavior agrees well with the prediction from the theory of Schwarz. The attenuation of longitudinal sound waves at,3 Me./sec. was measured as a function of pH for solutions of poly(glutamic acid), glutamic acid, and gelatin. A small attenuation peak was observed for the three solutions, the peak height being almost, the same for them. The peak is interpreted in terms of the dissociation reaction of side chains.

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URL: http://dx.doi.org/10.1002/bip.1967.360051003

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The circular dichroism spectrum of poly-L-acetoxyproline (1967)

Bovey, F. A. ; Hood, F. P.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 915-919

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Notes: We report the circular dichroism (CD) spectrum of poly-Lacetoxyproline in trifluoroethanol, a solvent in which the form I to form II conformational isomerization occurs slowly enough to permit observation of the spectral changes. A comparison is made to poly-Lproline. As judged by the similarity of the CD spectra, the conformations of the corresponding forms of the two polymers must be nearly the same. Transition assignments are proposed; these are shown to agree with the theoretical calculations of Pysh. There is a serious unexplained discrepancy between our solution data and those of Fasman for poly-Lacetoxyproline.

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Effect of ions on the dielectric relaxation of DNA (1967)

Takashima, Shiro

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 899-913

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Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

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Notes: The dielectric relaxation of DNA solutions has been investigated with and without extraneous ions covering a wide frequency range. The effect of monovalent ions such as Na, K, and Li as well as divalent ions such as Mg, Ca, and Hg have been included in the study. These ions are found to have a profound effect on the dielectric increment and the relaxation time without affecting the molecular dimension drastically. This dielectric effect is interpreted as indicating the importance of counterion fluctuation on the low frequency dielectric constant of DNA in solution. The effect of an organic ion, tetra-methylammoniun bromide, has also been studied. This ion has no noticeable effect. A simple theory is derived on the basis of a microscopic model to account for the effect of external ions on the dielectric behavior of solutions of DNA.

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Polarimetric study of the interaction of myosin and heavy meromyosin with nucleotides (1967)

McCubbin, W. D. ; Kay, C. M. ; Oikawa, K.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 236-241

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Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

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Extent and stability of the α-helix in γ-benzyl L-glutamate-glycine copolymers (1967)

Block, H. ; Kay, Josephine A.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 243-249

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Notes: Block and random copolymers of γ-benzyl L-glutamate and glycine were studied by optical rotatory dispersion methods in order to ascertain the extent and stability of the α-helix formed by these polymers in appropriate solvent mixtures. Results indicate that when in solution such polymers do contain sections of α-helix. However, it appears that glycine does not readily fit into the α-helix which is largely due to the γ-benzyl L-glutamate segments. Further, there are indications that the helical sections in the random copolymers are due to the nonrandomness of the polymerization.

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Interaction of metal ions with polynucleotides and related compounds. IX. Unwinding and rewinding of poly(A + U) and poly(I + C) by copper(II) ionsPresented in part at the 150th Meeting of the American Chemical Society, Atlantic City, N. J., September 1965. (1967)

Eichhorn, Gunther L. ; Tarien, Edward

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 273-281

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Notes: It is demonstrated that, poly(A + U) and poly(I + C) are both formed under low ionic strength conditions. Continuous variation studies indicate the formation of copper(II) complexes of poly A, poly C, and poly I, but not of poly U. Copper(II) in a 1:1 ratio to polynucleotide prevents the formation of poly(A + U) and brings about the dissociation of the poly (A + U) complex produced in the absence of the metal. Poly (I + C) is similarly dissociated by copper(II) ions. The addition of sufficient electrolyte reverses the copper(II) induced dissociation of poly(I + C). The effect of copper(II) on ordered synthetic polynucleotides is thus very similar to its effect on DNA.

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URL: http://dx.doi.org/10.1002/bip.1967.360050305

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Polypeptides. LIII. Water-soluble copolypeptides of L-glutamic acid, L-lysine, and L-alanine (1967)

Morita, K. ; Simons, E. R. ; Blout, E. R.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 259-271

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Notes: The synthesis and some of the physical-chemical properties of tricopolymers of L-glutamic acid, L-lysine, and L-alanine are reported here. The molar ratios of the glutamyl: lysyl: alanyl residues were 1:1:X or 3:2:X, where the alanyl content X was increased in regular steps. The α-helix content calculated from the optical rotatory dispersion of the polypeptides is compared with a predicted helix content estimated from the composition of the polymers and the known behavior of the homopolypeptides at pH 3, 8, and 12. At pH 3 copolypeptides containing 20 mole-% or more alanine exhibit a helix content equal to the sum of their alanyl and glutamyl residue contents. At pH 8 the helix content equals the alanyl content when the latter was 40 mole-% or higher; at lower alanyl contents the electrostatic interaction between charged glutamyl and lysyl residues makes some contribution. At pH 12 the amount of helix observed is proportional to the mole ratio of alanine residues present in the polymer. The helix content of a tricopolymer containing 1:1:3 mole ratios of glutamyl: lysyl: alanyl residues was determined in solutions of lithium bromide and in urea solutions. Both reagents led to a decrease in helix content at pH 3 and 8 to a minimum of approximately 20% helix in 8M urea or 5.5M LiBr. The helix-random chain transition curves at pH 3 and 8 are parallel when the urea concentration is varied, but differ in shape when the lithium bromide concentration is varied at pH 3 and 8. The mode of action of these two “denaturing” reagents may thus be different. Heating the same tricopolypeptide at pH 3 or 8 from 5 to 80°C. also led to a helix-random chain transition centered at approximately 45°C.

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Interaction of metal ions with polynucleotides and related compounds. X. Studies on the reaction of silver(I) with the nucleosides and polynucleotides, and the effect of silver(I) on the zinc(II) degradation of polynucleotidesPresented in part at the 49th Annual Meeting of the Federation of American Societies for Experimental Biology Atlantic City, N. J., April 1965. (1967)

Eichhorn, Gunther L. ; Butzow, James J. ; Clark, Patricia ; [et al.]

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 283-296

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Notes: Potentiometric titration curves of the silver(I) complexes of cytidine, adenosine, and uridine show little uptake of base below pH 7, unlike the curve for silver(I)-guanosine, which shows extensive base uptake at neutral pH. This observation is correlated with spectrophotometric data showing little difference between the silver complex spectra of adenosine, cytidine, and uridine and the spectra of uncomplexed nucleosides, except at high pH, but showing a great difference between the silver complex spectra of guanosine and inosine and the corresponding uncomplexed nucleosides even at pH 6. Similar comparisons of the silver complexes of poly A, poly C, poly I, and poly U, both by potentiometric titration and by spectrophotometry, show that poly I behaves like guanosine and inosine as expected, differing from poly A and poly C. However, poly U behaves like poly I and thus does not resemble uridine in its complexing behavior. There is thus a dichotomy between poly A and poly C on the one hand in silver complexing phenomena, compared with poly U and poly I on the other. When silver(I) is added to systems containing zinc(II) and various polynucleotides, the same dichotomy is noted. Silver(I) inhibits the degradation by zinc(II) of all four polynucleotides, but the degradation of poly I and poly U is prevented virtually completely. Silver(I) alone has no degradative effect on RNA and inhibits, the zinc(II) degradation of RNA. Polynucleotide complexes in which silver(I) and zinc(II) are simultaneously bound to different positions on the macromolecules are postulated as intermediates in the inhibited degradation reactions.

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Circular dichroism spectrum of poly-L-proline (1967)

Bovey, F. A. ; Hood, F. P.

New York : Wiley-Blackwell

Biopolymers 5 (1967), S. 325-326

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Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Additional Material: 1 Ill.

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URL: http://dx.doi.org/10.1002/bip.1967.360050310

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Masthead (1967)

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967)

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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URL: http://dx.doi.org/10.1002/qua.560010101

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Program (1967)

Löwdin, Per-Olov

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 1-6

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URL: http://dx.doi.org/10.1002/qua.560010102

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Nature of quantum chemistry (1967)

Löwdin, Per-Olov

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 7-12

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Quantum chemistry: The early period (1967)

Heitler, W.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 13-36

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The current state of solid-state and molecular theory (1967)

Slater, John C.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 37-102

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URL: http://dx.doi.org/10.1002/qua.560010105

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Announcement (1967)

Pullman, B.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 119-119

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

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URL: http://dx.doi.org/10.1002/qua.560010107

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Masthead (1967)

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967)

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URL: http://dx.doi.org/10.1002/qua.560010201

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The assignment of quantum numbers for electrons in molecules. Extracts from Phys. Rev. 32, 186-222 (1928), plus currently written annotationsReferences to the Annotations, which are at the end of the paper, are indicated by numbers in brackets on the line. Numbered references superscript and not in parentheses are the same as in the original paper. (1967)

Mulliken, Robert S.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 103-117

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Theoretical study of the electronic properties of biological purines and pyrimidines. II. The effect of configuration mixingThis work was supported by grant no. CR-66-236 of the Institut National de la Santé et de la Recherche Médicale. (1967)

Berthod, Hélène ; Giessner-Prettre, Claude ; Pullman, Alberte

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 123-137

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Additional Material: 4 Ill.

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Many-electron problems.The word “many” is used here in the sense of the inequalities 10 ≦ “many” ≦ 100. I. Energy relations in the theory of neutral atoms (1967)

Gáspár, R.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 139-145

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Description / Table of Contents: On analyse quelques calculs d'atomes à plusieurs électrons. On établit que pour les atomes neutres l'énergie d'interaction électron-électron peut être représentée approximativement par un multiple constant de l'énergie d'interaction électron-noyau. Par conséquent l'énergie totale de ces atomes-ci dépend d'une façon très simple du nombre atomique.

Abstract: Berechnungen für Atome mit vielen Elektronen sind analysiert. Es ist gezeigt dass für neutrale Atome die Wechselwirkungsenergie zwischen Elektronen von einem konstanten Vielfache der Wechselwirkungsenergie zwischen den Elektronen und dem Kern wohl approximiert werden kann. Eine Folge dieses Satzes ist dass die Totalenergie dieser Atome in sehr einfacher Weise von der Atomnummer abhängt.

Notes: Many-electron atom calculations are analyzed. It is proved that for neutral atoms to a good approximation the electron-electron interaction energy is a constant multiple of the electron-nucleus interaction energy. A consequence of the above theorem is that the total energy of these atoms shows a very simple dependence on the atomic number.

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Long-range interactions between atoms and molecules (1967)

Dalgarno, A. ; Morrison, I. H. ; Pengelly, R. M.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 161-167

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Description / Table of Contents: On étudie les informations relatives aux indices de réfraction pour quelques gaz pour obtenir des formules analytiques. De celles-ci on obtient le coéfficient du terme principal de l'interaction de longue portée entre deux corps ainsi que celui de l'interaction de longue portée non-additive entre trois corps. On calcule les coéfficients correspondants pour des mélanges des gases He, Ne, A, Kr, Ze, H2, N2 et CH4, l'erreur probable étant 5%.

Abstract: Gewisse Brechungsindexinformationen für mehrere Gase sind zu analytischen Formeln angepasst. Von diesen berechnet man die Koeffiziente des Prinzipalglieds der Wechselwirkung zwei entfernter Körper und der non-additiven Wechselwirkung drei entfernter Körper. Koeffizienten sind für Mischungen der Gase He, Ne, A, Kr, Xe, H2, N2 und CH4 berechnet, mit einem wahrscheinlichen Fehler von 5%.

Notes: The refractive index data for various gases are fitted to analytical formulae from which may be calculated the coefficient of the leading term of the long-range two-body interactions and the coefficient of the leading term of the long-range non-additive three-body interactions. Coefficients are obtained for mixtures of the gases He, Ne, A, Kr, Xe, H2, N2 and CH4, the probable error being 5%.

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A data programme for population analysis of crystal-band structures (1967)

Flodmark, Stig

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 147-159

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Description / Table of Contents: On a construit un programme pour un ordinateur électonique pour calculer les bandes d'énergie suivant l'approximation “tight-binding”. Ce programme a été employé pour des cristaux de α zirconium sans et avec de l'oxygène dissout. Les bandes d'énergie résultantes et les distributions des orbitales correspondantes représentent une quantité énorme d'information numérique. Un autre programme a été construit pour analyser les populations des bandes occupées. Ce programme-ci va réduire considérablement l'information produite. Seulement les bandes occupées sont décrites dans un nombre de directions dans l'espace k. Les nombres d'occupation sont sommés pour les orbitales de nombres quantiques egaux, l et |m|, et sont calculés pour chaque bande en fonction de k.

Abstract: Ein Maschinenprogramm ist für “tight-binding” Berechnungen von Energiebänder geschrieben worden. Dieses Programm ist auf Kristallen von α Zirkonium mit und ohne gelästen Sauerstoff angewendet. Die resultierenden Energiebänder und Orbitalverteilungen repräsentieren eine sehr grosse Menge von numerischer Information. Ein anderes Programm ist nun geschrieben worden für Populationsanalyse der besetzten Bänder. Dieses Programm reduziert die Informationsmenge in ansehnlicher Weise, und nur besetzte Bänder sind für einige verschiedene Richtungen im k Raum gegeben. Die Besetzungszahlen sind für Orbitale mit gleichen Quantenzahlen l und |m| summiert, und für jedes Band als eine Funktion von k erhalten.

Notes: An electronic-computer programme has been written by the author for calculations of energy bands in the tight-binding approximation. This programme has been applied to crystals of α zirconium with and without dissolved oxygen. The resulting energy bands and orbital distributions represent an enormous amount of numerical data. Another programme has now also been written by the author for population analysis of the occupied bands. This programme will reduce the resulting output considerably, and only occupied bands are represented in a number of directions in k space. The occupation numbers are summed up for orbitals with equal quantum numbers l and |m|, and are found for each band as a function of k.

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URL: http://dx.doi.org/10.1002/qua.560010204

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Masthead (1967)

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967)

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/qua.560010301

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A Tomonaga gas model for aromatic hydrocarbons (1967)

Basu, Sadhan

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 187-190

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Description / Table of Contents: On emploie la méthode de Tomonaga pour déterminer la fréquence des oscillations collectives résultant de l'excitation d'un électron dans le systeme d'électrons π d'un hydrocarbure aromatique regardé comme un gaz d'électrons libres en deux dimensions. Les fréquences calculées et mesurées s'accordent parfaitement, bien que la coordonnée collective ne fût pas conjugée au moment collectif.

Abstract: Man berechnet, mit der Methode von Tomonaga, die Frequenz kollektiver Schwingungen, verursacht von der Aufregung eines Elektrons in dem System von π Elektronen eines aromatischen Kohlenwasserstoffes, das als ein Gas freier Elektronen angesehen wird. Berechnete und Experimentelle Frequenzen stimmen sehr wohl überein, obgleich die kollektive Koordinate nicht zu dem kollektiven Impuls konjugiert sei.

Notes: Considering the π electrons in aromatic hydrocarbons as forming a two-dimensional free-electron gas, the Tomonaga method has been followed to determine the frequency of collective oscillations when an electron is excited in these systems. The calculated and experimental frequency have been found to be in excellent agreement, although the collective coordinate was not conjugate to the collective momentum in these systems containing only few free π electrons.

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URL: http://dx.doi.org/10.1002/qua.560010207

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Anomalies in the intensity distributions of rotation-vibration lines in the spectra of polyatomic moleculesSupported in part by a grant to the Ohio State University made by the National Science Foundation (NSF Grant GP-853). (1967)

Nielsen, Harald H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 217-223

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URL: http://dx.doi.org/10.1002/qua.560010302

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Projected electron density method of π-electron systems. I. Electron distribution in the ground state (1967)

Försterling, H. D. ; Huber, W. ; Kuhn, H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 225-241

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Additional Material: 5 Ill.

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URL: http://dx.doi.org/10.1002/qua.560010303

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Long-range interaction between 1s and 2s or 2p hydrogen atomsResearch reported in this publication was supported by Advanced Research Projects Agency through U.S. Army Research Office (Durham) under contract No. DA-11-022-ORD-3119, and by a grant from the National Science Foundation, GP-3427. (1967)

Kołos, W.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 169-186

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Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On a calculé l'énergie d'interaction de longue portée entre deux atomes d'hydrogène jusqu'au second ordre de la perturbation. Tous les états du système provenant de l'un des atomes dans un état 1s et l'autre dans l'un des états 2s ou 2p ont été considérés. L'énergie, représentée par une série en puissances inverses de la distance internucléaire, R, a été calculée jusqu'aux termes d'ordre R-8. On estime que les énergies d'interaction sont correctes pour R 〉 15 u.a. On a calculé aussi d'une façon précise l'énergie d'interaction entre deux atomes d'hydrogène dans leurs états fondamentaux jusqu'aux termes d'ordre R-10. Les résultats pour l'état B′ 1∑u+ sont employés pour discuter l'énergie de dissociation expérimentale de H2, D2, et HD. Pour H2 on démontre que toutes les valeurs de l'énergie de dissociation, obtenues de limites d'absorption expérimentales (les courbes d'énergie potentielle étant employées pour éliminer l'effet de rotation) sont consistantes. Cependant l'énergie totale résultante de H2 est plus grande que la valeur théorique la plus exacte.

Abstract: Die Wechselwirkungsenergie zwei entfernter Wasserstoffatome ist mit Störungstheorie zweiter Ordnung berechnet. Alle Zustände des Systems, die von einem der Atome in einem 1s Zustand und von dem anderen in einem 2s oder 2p Zustand entstehen können, sind berücksichtigt. Die Energie, die als eine Reihe in reziproken Potenzen des Kernabstands R ausgedrückt ist, ist bis Glieder in R-8 berechnet. Die resultierenden Wechselwirkungsenergien sind wahrscheinlich für R 〉 15 a.E. zuverlässig. Genaue Wechselwirkungsenergien für zwei Wasserstoffatome im Grundzustand sind auch bis Glieder in R-10 berechnet. Die Resultate für den B′ 1∑u+ Zustand sind benutzt um die experimentellen Dissoziationsenergien von H2, D2, und HD im Grundzustand zu untersuchen. Für H2 sind alle Werte der Dissoziationsenergie, die von experimentellen absorptionsgrenzen mit Anwendung von den berechneten Potentialenergiekurven um den Effekt der Rotation zu absondern, erhalten sind, in befriedingender Weise übereinstimmend. Die resultierende Totalenergie von H2 ist aber grösser als der richtigste theoretische Wert.

Notes: Long-range interaction energy between two hydrogen atoms has been computed in the second order of the perturbation theory. All states of the system arising when one of the atoms is in the 1s and the other in the 2s or 2p state have been considered. The energy represented by a series expansion in inverse powers of the internuclear distance, R, has been computed up to the terms in R-8. The results are believed to give reliable interaction energies for R 〉 15 a.u. Accurate interaction energy for two ground-state hydrogen atoms has also been obtained up to the terms in R-10. Results for the B′ 1∑u+ state are employed to discuss the experimental ground-state dissociation energy of H2, D2, and HD. For H2 all values of the dissociation energy obtained from various experimental absorption limits, by using the computed potential energy curve to separate off the effect of rotation, are shown to be satisfactorily consistent. The resulting total energy of H2 is, however, higher than the most accurate theoretical value.

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URL: http://dx.doi.org/10.1002/qua.560010206

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Influence of madelung (interatomic Coulomb) energy on Wolfsberg-Helmholz calculations (1967)

Jørgensen, Chr. Klixbüll ; Horner, Sally M. ; Hatfield, William E. ; [et al.]

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 191-215

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On présente un modèle pour estimer les ionicités de molécules et d'ions complexes. Ce modèle est basé sur une minimisation de l'énergie totale par la méthode des énergies d'ionisation différentielles. L'effet sur les énergies des corrections de Madelung est considéré. Il est possible d'améliorer la méthode en calculant les énergies de la liaison covalente.On a fait des calculs de type Wolfsberg-Helmholz dans le cadre de ce modèle, en incorporant les corrections de Madelung. Ces corrections-ci rendent les courbes d'énergie d'ionisation du métal moins raides et les énergies d'ionisation des ligandes sont presque invariables par rapport aux charges. Ceci crée une situation qui a été jusqu'ici imposée artificiellement en choisissant les énergies d'ionisation des ligandes de façon à créer des termes désirables dans le déterminant séculaire de Wolfsberg-Helmholz. On démontre que l'effet de l'énergie de Madelung constitue l'influence primaire pour décrire l'ionicité et l'énergie totale d'un chromophore; on démontre que les effets de la liaison covalente sont secondaires quand les ligandes et l'atome central ont des électronégativités assez différentes.

Abstract: Ein Modell für die Abschätzung von Ionizitäten in Moleküle und Komplexionen wird beschrieben. In diesem Modell wird die Totalenergie mit der Methode der differentiellen Ionisationsenergien minimisiert. Der Effekt der Madelungkorrektionen wird berück-sichtigt, und das Modell wird durch Berechung der kovalenten Bindungsenergien verbessert.Wolfsberg-Helmholzberechungen werden für dasselbe Modell mit Madelungkorrektionen einverlei ausgeführt. Die Madelungkorrektionen machen die Ionisations-energiekurven der Metalle weniger steil; die Ionisationsenergien der ligander sind fast imvariant mit der Ladung. Dies schafft eine Situation, die bisher in künstlicher Weise durch die Wahl der Ionisationsenergien der Liganden in der Wolfsberg-Helmholzsche Methode gegeben war. Es würd gezeigt, dass die Madelungenergie das wichtigste Glied für die Beschriebung der Ionizität und der Totalenergie eines Kromophors ist, und dass diese Effekteüber die kovalente Bindung dominieren, wenn die Liganden und das Zentralatom sehr verschiedene Elektronegativitäten haben.

Notes: A model is presented for the estimation of ionicities in molecules and complex ions. The model uses the minimization of total energy by the method of differential ionization energies. The effect of Madelung corrections to the energies is considered, and the model is refined by evaluating the covalent-bond energies.Wolfsberg-Helmholz calculations have been applied to the same type of model, also incorporating Madelung corrections. The Madelung corrections make the metal ionization energy curves less steep, and the ligand ionization energies are nearly invariant with charge. This creates a situation which has previously been artificially imposed by selecting the ligand ionization energies to give desirable terms in the Wolfsberg-Helmholz secular determinant. The effect of Madelung energy is shown to be the primary influence in describing the ionicity and total energy of a chromophore; covalent bonding effects are shown to be secondary when the ligands and the central atom have fairly different electronegativities.

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URL: http://dx.doi.org/10.1002/qua.560010208

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Dipole length versus dipole velocity in the calculation of infrared intensities with Born-Oppenheimer wave functions (1967)

Mead, C. Alden ; Moscowitz, Albert

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 243-249

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

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URL: http://dx.doi.org/10.1002/qua.560010304

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Spectral analysis of the Green's function (1967)

Blinder, S. M.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 285-291

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: Le spectre de valeurs propres d'un système dynamique conservatif est contenu implicitement dans sa fonction de Green. Il devient explicite dans la transformée de Fourier de la fonction de Green ou de sa trace. Cette trace n'existe que dans le cas où le spectre est complètement discret. On présente des applications aux problèmes d'une particule libre, de l'oscillateur harmonique linéaire et de l'atome d'hydrogène. Dans les deux derniers cas on peut simplifier la détermination de la fonction de Green considérablement en transformant l'Hamiltonien.

Abstract: Das Eigenwertspektrum eines konservativen, dynamischen Systems ist in impliziter Weise in seiner Greenschen Funktion enthalten. Es wird in dem Fouriertransform der Greenschen Funktion oder deren Spur explizit. Der Spur existiert nur wenn das Spektrum durchaus diskret ist. Diese Methoden sind auf die Probleme des freien Teilchens, des linearen harmonischen Oszillators und des Wasserstoffatoms angewendet. In den zwei letzteren Fällen kann die Bestimmung der Greenschen Funktion wesentlich mit Transformationen des Hamiltonoperators vereinfacht werden.

Notes: The energy eigenvalue spectrum for a conservative dynamical system is contained implicitly in its Green's function. It becomes explicit in the Fourier transform of either the Green's function or its trace. The trace exists only when the spectrum is entirely discrete. Applications are made to the free particle, the linear harmonic oscillator, and the hydrogen atom. In the latter two cases determination of the Green's function can be considerably simplified by similarity transformations on the Hamiltonian operator.

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URL: http://dx.doi.org/10.1002/qua.560010307

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Quantum-mechanical treatment of molecules.This work was sponsored by the National Aeronautics and Space Administration, Washington, D.C. 20546, and the Air Pollution Division of Bureau of State Services, Public Health Service, Bethesda, Maryland, U.S.A. I. Calculations of the potential energy curves and molecular constants of the ground and ionized states of N2 (1967)

Sahni, R. C. ; Sawhney, B. C.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 251-270

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On a calculé l'état fondamental et trois états ionisés de N2 pour plusieurs distances intérnucléaires selon l'approximation SCF—MO—LCAO. Les coéfficients linéaires ainsi que les constantes d'écran des orbitales atomiques ont été optimisés. On a calculé des courbes de l'énergie potentielle les constantes moléculaires ωe, ωexe, Be, αe, et Re pour les états cités. Les résultats calculés sont comparés aux données expérimentales ainsi qu'aux résultats d'autre calculs ab initio.

Abstract: Die SCF—MO—LCAO Methode wird auf den Grundzustand und auf drei jonisierten Zustände von N2 für mehrere Kernabstände angewendet. In diesen Berechnungen werden sowohl die lineare Koeffizienten als auch die Abschirmungskonstanten der Atomorbitale optimiert. Die Molekülkonstanten ωe, ωexe, Be, αe, und Re sind für die zitierten Zustände aus den Potenzialenergiekurven berechnet worden. Die berechneten Resultate werden mit experimentellen Angaben und mit Resultaten anderer ab initio Berechnungen verglichen.

Notes: The self-consistent-field molecular-orbital method in LCAO (linear combination of atomic orbitals) approximation is applied to the ground and three ionized states of N2 at a number of internuclear distances for the computation of the potential energy curves. In these calculations both the linear coefficients and the screening constants of the atomic orbitals have been optimized. The molecular constants ωe, ωexe, Be, αe, and Re have also been calculated for the above states from the computed potential energy curves. The computed spectral results are compared with the experimental data as well as with the results reported by others from ab initio calculations.

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URL: http://dx.doi.org/10.1002/qua.560010305

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Masthead (1967)

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967)

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URL: http://dx.doi.org/10.1002/qua.560010401

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Energy eigenvalue spectroscopy (1967)

Blinder, S. M.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 271-283

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: Une fonction d'onde, qui n'est pas une fonction propre exacte, peut, si elle satisfait à des conditions analytiques propres, ětre regardée comme représentant la configuration initiale d'un état non-stationnaire. Pendant son évolution suivante dans le temps le système quantique expose implicitement son spectre total de valeurs propers. On établit une méthode pour le calcul direct du spectre des valeurs propres de l'énergie, basée en principe sur l'analyse de Fourier du système quantique évoluant. La fonction spectrale est développement est tronqué, ce qui est nécessaire dans toute application, la fonction spectrale correspondante représente un spectre moyen de valeurs propres. Une approximation alternative mène à la méthode des moments. En augmentant le nombre des termes on peut améliorer le spectre calculé. Dans certains cas on peut éluder la méthode des moments, s'il est possible d'obtenir en forme clos l'action de l'opérateur d'évolution. Ceci revient a trouver une solution de l'équation de Schrödinger dépendant du temps. Les différentes méthodes de spectroscopie de valeurs propres sont appliquées au probleme de l'oscillateur harmonique.

Abstract: Eine Wellenfunktion die nicht eine exakte Eigenfunktion ist, kann, unter gewissen analytischen Bedingungen als repräsentierend eine Initial-konfiguration eines nichtstationären Zustands betrachtet werden. Während ihre folgende Entwicklung in der Zeit, legt der Quantensystem in impliziter Weise seinen ganzen Eigenwertspektrum dar. Eine Methode, die im Prinzip auf Fourieranalysis des entwickelnden Systems basiert ist, ist für die direkte Berechung des Eigenwertspektrums benutzt. Die Spektralfunktion ist als eine Momentenentwicklung ausgedrückt, die eine Funktion der Mittelwerte der Potenzen des Hamiltonoperators ist. Wenn die Entwicklung abgebrochen ist, was notwendig ist in alle praktische Anwendungen, ist die entsprechende Spektralfunktion als ein Eigenwertspektrum im Mittel repräsentiert. Eine alternative Approximation führt zu die Quanten-mechanische Methode der Momente. Als die Nummer der Glieder wächst, wird das berechnete Spektrum scharfer und genauer. In gewissen Fällen kann man die Momentenentwicklung entgehen, wenn die Wirkung des Evolutions-operators in geschlossener Form ausdrückt werden kann. Dies ist eine Lösung der Zeitabhängigen Schrödingergleichung zu finden gleichwertig. Die Methoden der Eigenwertspektroskopie werden auf den harmonischen Oszillator angewendet.

Notes: A wave function which is other than an exact eigenfunction, if it obeys appropriate analytical conditions, can be considered to represent the initial configuration of a nonstationary state. In the course of its subsequent time development the quantum system exhibits implicitly its entire eigenvalue spectrum. A method based, in principle, on Fourier analysis of the evolving quantum system is applied to the direct calculation of the energy eigenvalue spectrum. The spectral function is expressed as a moment expansion, in terms of expectation values of powers of the Hamiltonian. When the expansion is truncated, as it must be in any practical application, the corresponding spectral function represents a smeared-out eigenvalue spectrum. An alternative approximation leads to the quantum-mechanical method of moments. As the number of terms is increased, the computed spectrum becomes sharper and more accurate. In certain cases the moment expansion can be circumvented, if the action of the evolution operator can be evaluated in closed form. This is equivalent to finding some solution of the time-dependent Schrödinger equation. The various methods of eigenvalue spectroscopy are applied to the harmonic oscillator.

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URL: http://dx.doi.org/10.1002/qua.560010306

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Variational principle for the intensity of forbidden transitions (1967)

Dmitriev, Y. Y. ; Yuriev, M. S.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 321-325

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On établit une nouvelle méthode variationelle pour calculer la probabilité de transitions défendues, ainsi que des bornes supérieures etinférieures del'élément matriciel correspondant.

Abstract: Ein neues Variationsprinzip für die Wahrscheinlichkeit verbotener Übergänge wird angegeben. Man erhält auch obere und untere Grenzen für das entsprechende Matrixelement.

Notes: A new variational principle for the probability of forbidden transitions is derived. Upper and lower bounds for the corresponding matrix element are given.

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URL: http://dx.doi.org/10.1002/qua.560010403

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On the extended method of calculation of atomic structures (1967)

Jucys, Adolfas Pranaitis

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 311-319

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: On établit une méthode générale pour calculer des structures atomiques, basée sur le principe “des fonctions radiales différentes pour des électrons différents”. On décrit les connections entre cette méthode-ci et les méthodes ordinaires. Dans la méthode proposée les complications additionelles entrent seulement dans le traitment des variables radiles. Les règles générales pour les calculs nouveaux sont formulées.

Abstract: Eine verallgemeinerte Methode für Atomstrukturberechnungen wird charakterisiert. Man braucht in dieser Methode verschiedene Radialfunktionen für verschiedene Elektronen. Der Zusammenhang zwischen den verallgemeinerten und den gewöhnlichen Methoden wird beschreibt. Spezille Komplikationen treten nur in der Behandlung der radiller Variabeln auf. Die allgemeine Regeln für Berechnungen mit der neuen Methode werden formuliert.

Notes: The extended method of calculation of atomic structures is characterized. This method is understood as the use of as many radial orbitals as there are electrons in the atom under consideration. The process of passing from the ordinary method of calculation to the extended one is described. In the method proposed the additional complications appear within the confines of dealing with radial variables only. The general rules for carrying out the calculations, in applying the extended method, are formulated.

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URL: http://dx.doi.org/10.1002/qua.560010402

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On the choice and definition of atomic-orbital bases. I. General considerations; promotion and hybridization; electric dipole moments (1967)

Del Re, Giuseppe

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 293-310

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: Après une courte discussion de la signification physique du choix de base dans les calculs moléculaires, on discute la nature et la définition d'une base d'orbitales atomiques pour des calculs restreints, l'idée principale étant de remplacer par exemple les orbitales ordinaires de Slater 2s et 2p par des orbitales atomiques hybridées et promues. S'il faut définir les orbitales atomiques dans le cadre d'une certaine interprétation de l'activité des molécules, l'hybridization et la promotion peuvent devenir nécessaires.On considère explicitement deux sortes de conditions qui peuvent être soutaitables pour une base restreinte: (1) Les hybrides recherchées doivent ětre dirigées le long des liaisons et satisfaire en même temps au critère de recouvrement maximum; (2) Les orbitals atomiques doivent satisfaire à la condition que le moment dipolaire électrique d'une molécule polyatomique, qui est décrite dans un cadre sémi-empirique, peut être représenté comme le moment dipolaire du système de charges de liaison localisé aux noyaux.La dernière condition est traitée en détail et l'on montre qu'elle implique une neutralisation des moments atomiques et des moments de recouvrement. On donne les équations définissant les orbitales atomiques en question.Dans le cours du traitement mathématique on démontre certains résultats portant sur l'expression du moment dipolaire d'une molécule et sur la définition des charges atomiques nettes. De ces expressions-ci il découle que pour des systèmes avec des intégrales de recouvrement petites, les populations atomiques peuvent être représentées par des sommes de carrés des coéfficients des orbitales atomiques orthogonalisées.Des applications seront présentées dans la seconde partie de cet article.

Abstract: Nach einer kurzen Diskussion der physikalischen Bedeutung der Wahl von Bais in molekularen Berechungen, wird die Natur und Definition einer Atomorbitalbasis für begrenzte Berechnungen diskutiert, um die Möglichkeit zu untersuchen, ob gewöhnliche 2s und 2p Slater-orbitale gegen hybridisierte-beförderte Atomorbitale ersetzbar sind. Wenn die Orbitale in der Rahme einer gegebenen Interpretation für das Betragen der Moleküle definiert werden musst, können Hybridisation und Förderung notwendig werden.Bedingungen zweier Art für begrenzte Atomorbitalsysteme werden in expliziter Weise betrachtet: (1) Die Hybriden sollen längs der Bindung gerichtet sein, und zugleich das Kriterium maximaler Überlappung befriedigen; (2) Es soll möglich sein, den elektrischen Dipolmoment eines polyatomischen Molekül als den Diplmoment des Systems von an den Kernen lokalisierten Bindungsladungen repräsentieren.Die letzte Bedingung ist ausführlich behandelt und eis ist gezeigt, dass sie eine Aufhebung der Atom- und Überlappungsmomente bedeutet. Die Gleichungen, die die Atomorbitale definieren, welche diese Bedingung befriedigen, werden gegeben.Einige allgemeine Resultate betreffend die Ausdrücke für den Dipolmoment eines Moleküls, und die Definition “reine” Atomladungen werden gegeben. Diese zeigen, dass, für Systeme mit kleinen Überlappungs-integralen, können die Atompopulationen als Summen von Quadraten der Koeffiziente der orthogonalisierten Atomorbitale repräsentiert werden.Anwendungen dieser Resultate werden in Teil II dargestellt worden.

Notes: After a brief discussion of the physical significance of the choice of the basis in molecular calculations, the nature and definition of an atomic-orbital basis for use in limited calculations is discussed, in view of the possibility of replacing, say, ordinary 2s and 2p Slater orbitals by appropriate hybridized-promoted atomic orbitals. It is indicated that, if the orbitals must be defined in connection with a given interpretation scheme for the behavior of molecules, hybridization and promotion may be necessary.The two kinds of conditions one may wish to impose on a restricted atomic-orbital set are explicitly considered. The first is that the atomic orbitals should be hybrids directed along the bonds and at the same time satisfy the maximum overlap criterion; the other is the requirement that the atomic orbitals should be such that the electric dipole moment of a polyatomic molecule described in terms of a semiempirical bond-orbital scheme should be expressed as the dipole moment of the system of bond charges located at the nuclei.The latter condition is treated in detail, showing that it implies a cancellation of atomic and overlap moments. The equations defining the atomic orbitals satisfying the condition in question are given.In the course of the mathematical treatment some general results concerning the expression of the dipole moment of a molecule and the definition of net atomic charges are given, showing that, for systems where overlap integrals are low, the atomic populations can be taken as sums of the squares of the coefficients of orthogonalized atomic orbitals.Applications of the results will be presented in part II.

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Méthode des Biorbitales: Application Préliminaire au Calcul de l'Energie de l'Etat Fondamental de l'Atome de Beryllium (1967)

Bessis, G. ; Murez, C. ; Bratož, S.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 327-335

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

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Description / Table of Contents: The ground-state electronic energy of Be is calculated using the method of biorbitals (SCF-BI). In this method the wave function is represented by an antisymmetrized product of identical pair functions. The basic set used to develop the biorbitals consists of the Watson s and p orbitals. The pair function is presumed to describe a singlet pair state. The energy associated with this function is minimized using a steepest descent procedure. A value of 0.0414 a.u. was found for the correlation energy, which is 44% of the total correlation energy. The SCF-BI method is compared with the CI method. The relationships are established between the expansion coefficients of both methods. The occupation numbers of orbitals are calculated.

Abstract: Die elektronische Energie des Grundzustands des Be-Atoms wird mit der Methode von Biorbitalen berechnet. Die Wellenfunktion wird in dieser Methode von einem antisymmetrischen Produkt identischer Paarfunktionen repräsentiert. Die Biorbitale werden in Watson's s und p Orbitale entwickelt. Die angewendeten Paarfunktionen beschreiben Singlettzustände. Die Energie ist mit einer Methode von steilstem Abstieg minimisiert worden. Man findet 0, 0414 a.E. für die Korrelationsenergie, d.h. 44% der theoretischen Korrelationsenergie. Die SCF-BI-Methode wird mit der Konfigurationswechselwirkungsmethode verglichen. Die Beziehungen zwischen den Koeffizienten der beiden Methoden werden abgeleitet und die Besetzungszahlen gegeben.

Notes: L'énergie électronique de l'état fondamental de l'atome Be a été calculée en utilisant la méthode des biorbitales (SCF-BI) dans laquelle la fonction d'onde est représentée par un produit antisymétrisé de fonctions de paire identiques. Les fonctions de base sur lesquelles les biorbitales sont développées sont les orbitales s et p données par Watson. Les fonctions de paire introduites correspondent à des états singulets. L'énergie a été minimisée directement par un procédé de descente selon la pente maximale. On trouve 0,0414 u.a. pour l'énergie de corrélation soit 44% de l'énergie de corrélation théorique. On compare la méthode (SCF-BI) à la méthode (IC) d'interaction de configuration. On établit des relations entre les coefficients dans les deux méthodes. On donne les nombres d'occupation des orbitales.

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. I. Das Cyclopentadienylanion (C5H5-) (1967)

Preuss, H. ; Diercksen, G.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 349-355

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: The C5H5- ion has been investigated ab initio in the equilibrium distance of the centers, taking all 36 electrons into account, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. A total energy of -189.42 a.u. and an ionization energy (electron affinity of C5H5) of 0.9 eV were found. A most significant result is that one π orbital is more strongly binding than four σ orbitals.

Abstract: On présente un calcul ab initio de la molécule C5H5- pour la distance à l'équilibre des noyaux, basé sur Allgemeines Programmsystem/SCF-MO-LC (LCGO) Methode. Tous les 36 électrons ont été considérés. On trouve pour l'énergie totale -189.42 u.a. et pour l'énergie d'ionisation (l'affinité électronique de C5H5) 0.9 eV. L'une des orbitales π est plus liante que quatre des orbitales σ.

Notes: Das C5H5- wird im Gleichgewichtsabstand der Zentren unter Berücksichtigung aller 36 Elektronen ab initio mit Hilfe des Allgemeinen Programmsystems/SCF—MO—LC(LCGO) Methode berechnet. Es ergibt sich eine Gesamtenergie von -189,42 a.E. Die Ionisierungsenergie (Elektronenaffinität des C5H5) beträgt 0,9 eV. Bei den Einteilchenenergien sind in energetischer Folge den π-Zuständen σ-Zustände eingelagert.

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URL: http://dx.doi.org/10.1002/qua.560010406

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. II. Das Benzol (C6H6) (1967)

Diercksen, G. ; Preuss, H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 357-359

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: The C6H6 has been investigated ab initio for the equilibrium distance of the centers, taking into account all 42 electrons, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. A total energy of -227.27 a.u. and an ionization energy of 8.5 eV were found. Further one of the π orbitals was more strongly binding than some of the σ orbitals.

Abstract: On présente un calcul ab initio de la molécule C6H6 pour la distance à l'équilibre des noyaux, basé sur Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. Tous les 42 électrons on été considérés. On trouve pour l'énergie totale -227.27 u.a. et pour l'énergie d'ionisation 8.5 eV. L'une des orbitales σ est plus liante que quelques-unes des orbitales π.

Notes: Das C6H6 wurde im Gleichgewichtsabstand der Zentren unter Berücksichtigung aller 42 Elektronen ab initio mit dem Allgemeinen Programmsystem/SCF—MO—LC(LCGO) Methode berechnet. Es ergab sich eine Gesamtenergie von -227.27 a.E. und eine Ionisierungsenergie von 8.5 eV. Ferner wurde gefunden, dass den Einelektronen π-Zuständen in energetischer Reihenfolge σ-Zustände eingelagert sind.

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A constant of the motion for the two-centre Kepler problem (1967)

Coulson, C. A. ; Joseph, A.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 337-347

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: En mécanique non-relativiste le potentiel monocentrique Coulombien admet des constantes du mouvement qui forment les composantes du vecteur de Runge-Lenz. On déduit une constante du mouvement additionelle pour le problème analogue bicentrique. Le résultat, qui est correct dans une espace d'un nombre arbitraire de dimensions, peut être employé en mécanique classique ainsi qu'en mécanique quantique. Cependant il n'est plus valable si l'on considère les corrections relativistes. On discute l'effet d'autres centres Coulombiens et l'effet d'une variation de la forme du potentiel. En particulier on déduit une constante du mouvement pour un potentiel bicentrique avec des termes harmoniques ainsi que des termes coulombiens. On note une relation entre ces constantes du mouvement et la séparation de l'Hamiltonien en coordonnées sphéroïdes. Enfin on discute l'application de ces résultats-ci au problème do molécule-ion de l'hydrogène dans l'approximation adiabatique. La nouvelle constante du mouvement est responsable de la non-validité observée de la règle de non-croisement des courbes d'énergie potentielle.

Abstract: Das monozentrische Coulombpotential hat in nichtrelativistischer Mechanik zusätzliche Bewegungskonstanten, die Komponenten des Runge-Lenz Vektors bilden. Von einem Studium dieses Vektors wird eine neue Bewegungskonstante für das entsprechende bizentrische Problem abgeleitet. Das Resultat ist in einem Raum willkürlicher Dimension gültig, und kann in sowohl klassischer Mechanik als Quantenmechanik angewendet werden. Es ist aber nicht mehr gültig, wenn relativistische Korrektionen betrachtet werden, die die zusätzliche Symmetrie des monozentrischen Coulombpotentials zerstören. Die Abhängigkeit anderer Coulombzentra und der Form des Potentials wird untersucht. Eine Bewegungskonstante wird für ein bizentrisches Potential mit sowohl Coulomb und harmonischen Termen abgeleitet. Die Beziehung zwischen diesen Bewegungskonstanten und der Separation des Hamiltonoperators in sphäroiden Koordinaten wird beachter. Mit dieser neuen Bewegungskonstante kann man die Nichtgültigkeit des Überschneidungsverbotes der Potentialkurven des Wasserstoffmolekülions erklären.

Notes: The one-centre Coulombic potential gives rise, in non-relativistic mechanics, to additional constants of the motion which form the components of the Runge-Lenz vector. By a study of this vector, an extra constant of the motion is derived for the corresponding two-centre problem. The result holds quite generally in a space of arbitrary dimension and is applicable to both classical and quantum mechanics; but breaks down when relativistic corrections, which destroy the extra symmetry of the one-centre Coulombic potential, are taken into account. The effect of further Coulombic centres and of varying the form of the potential is briefly discussed. In particular a constant of the motion is derived for a two-centre potential which has both Coulombic and simple harmonic terms. The relationship between these constants of the motion and the separation of the Hamiltonian into spheroidal coordinates is noted (this had previously been known only for the two-centre Coulomb problem in three-dimensional space). Finally the application to the hydrogen molecule ion, treated in the adiabatic approximation, is pointed out. The extra constant of the motion is seen to account for an observed apparent breakdown in the noncrossing rule for the potential energy curves.

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. III. Das Cyclopropan (C3H6) (1967)

Preuss, H. ; Diercksen, G.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 361-364

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: The C3H6 has been investigated ab initio, taking all 24 electrons into account, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. Variation of the C—C distance gives a total energy of -116.02 a.u. at a C—C distance of 2.91 a.u. The ionization energy was found to be 10.33 eV.

Abstract: On présente un calcul ab initio de la molécule C3H6 basé sur Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. Tous les 24 électrons on été considérés. Variant la distance C—C on obtient l'énergie totale -116.02 u.a. pour la distance C—C 2.91 u.a. L'énergie d'ionisation correspondante est 10.33 eV.

Notes: Das C3H6 wurde unter Berücksichtigung aller 24 Elektronen ab initio mit dem Allgemeinen Programmsystem/SCF—MO—LC(LCGO) Methode berechnet. Es ergab sich nach Variation des C—C Abstandes ein Minimum der Gesamtenergie von -116.02 a.E. bei einem C—C Abstand von 2.91 a.E. Die Ionisierungsenergie wurde zu 10.33 eV bestimmt.

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URL: http://dx.doi.org/10.1002/qua.560010408

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. IV. Das Äthylen (C2H4) (1967)

Diercksen, G. ; Preuss, H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 365-368

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: The C2H4 was investigated ab initio for the equilibrium distance of the centers, taking all 16 electrons into account, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. A total energy of -76.77 a.u. and an ionization energy of 10.55 eV were found.

Abstract: On présente un calcul ab initio de la molécule C2H4 pour la distance à l'équilibre des noyaux, basé sur Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. Tous les 16 électrons ont été considérés. On trouve, pour l'énergie totale -76.77 u.a. et pour l'énergie d'ionisation 10.55 eV.

Notes: Das C2H4 wird im Gleichgewichtsabstand der Zentren unter Berücksichtigung aller 16 Elektronen ab initio unter Verwendung des Allgemeinen Programmsystem/SCF—MO—LC(LCGO) Methode berechnet. Es ergibt sich eine Gesamtenergie von -76.77 a.E. Die Ionisierungs-energie beträgt dabei 10.55 eV.

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URL: http://dx.doi.org/10.1002/qua.560010409

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. V. Bindungsbeteiligung der Inneren Elektronen des C-Atoms (1967)

Preuss, H. ; Diercksen, G.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 369-372

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: Using the results of ab initio calculations, by comparison of the “1s orbital energies” of the C atom in the compounds C6H6, C5H5-, C3H6 (cyclopropane), C2H4 as well as at the C atom itself the bond electrons were found to have a significant influence on the inner electrons. The reason for this is pointed out and an explanation is given. The connection between the bonding and this “1s orbital energy” change as well as the importance of this result for quantum-chemical “models” is discussed.

Abstract: On compare les énergies des orbitales 1s de l'atome C libre et de l'atome C dans C6H6, C5H5-, C3H6 (cyclopropane), C2H4. On trouve une influence significative des électrons de valence sur les électrons de la couche intérieure. On discute la raison de cette influence et ses conséquences pour les modèles de la chimie quantique.

Notes: Durch Vergleichen der “1s-Einteilchenenergien” an den C Atomen in den Verbindungen C6H6, C5H5-, C3H6 (Cyclopropan), C2H4 sowie am freien C Atom wird im Rahmen von ab initio - Rechnungen gezeigt, dass die inneren Elektronen von den Bindungsvorgängen wesentlich beeinflusst sind. Die Ursachen werden diskutiert und eine Erklärung dafür angegeben. Der Zusammenhang dieser Energieänderungen mit den Bindungsverhältnissen, sowie die Bedeutung dieser Tatsache für gewisse Modellvorstellungen werden besprochen.

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Wellenmechanische Absolutrechnungen an Molekülen und Atomsystemen mit der SCF—MO—LC(LCGO) Methode. VI. Das Methan (CH4) (1967)

Janoschek, R. ; Diercksen, G. ; Preuss, H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 373-378

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: The CH4 molecule has been investigated ab initio, for four different distances RC—H and one distortion of a triangle HCH about the equilibrium condition, taking all 10 electrons into account, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode. The equilibrium distance RC—H was estimated to 2.053 a.u., the minimum of the total energy to -40.06 a.u., the heat of formation to 17.0 eV and the ionization energy to 14.8 eV. For the breathing force constant and the force constant of the twisting vibration a ω1 of 3139 cm-1 and a ω2 of 1865 cm-1 were found.

Abstract: On présente un calcul ab initio de la molécule CH4, basé sur Allgemeines Programmsystem/SCF—MO—LC(LCGO) Methode, pour tous les 10 électrons, quatre distances différentes C—H et pour une distorsion d'un triangle HCH. On trouve pour la distance à l'équilibre C—H 2.053 u.a., l'énergie totale -40.06 u.a., l'énergie de formation 17.0 eV, l'énergie d'ionisation 14.8 eV, la constante de force des vibrations de pulsation 3139 cm-1 et la constante de force des vibration de torsion 1865 cm-1.

Notes: Das CH4 wurde unter Berücksichtigung aller 10 Elektronen mit dem Allgemeinen Programmsystem/SCF—MO—LC(LCGO) Methode für 4 verschiedene Abstände RC—H und für die Verdrillung eines Dreieckes HCH gegenüber der Gleichgewichtslage (s. Abbildung 1) berechnet. Es ergab sich im Minimum eine Gesamtenergie von -40.06 a.E., eine Bildungsenergie von 17.0 eV und eine Ionisierungsenergie von 14.8 eV. Der Bindungsabstand wurde zu RC—H = 2.053 a.E. bestimmt. Die sich ergebenden Kraftkonstanten lieferten die Frequenzen ω1 = 3139 cm-1 und ω2 = 1865 cm-1.

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Zur Clar'schen Theorie Lokaler Benzoider Gebiete in Kondensierten Aromaten (1967)

Polansky, Oskar E. ; Derflinger, Gerhard

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 379-401

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: By means of the HMO method a postulate by Clar is justified. According to this postulate certain localized benzene-like regions exist in condensed aromatic hydrocarbons. A measure of the benzene character, butene character, etc., of certain parts of these molecules is derived and a simple method to calculate it is described. The importance of these measurements for discussions of chemical reactivity is pointed out.

Abstract: Mit Hilfe der HMO Methode wird gezeigt, dass das Postulat von E. Clar, gewisse Sechsring-Einheiten in kondensierten Aromaten stellen lokale benzoide Gebiete dar, berechtigt ist. Eine Masszahl (Character order) für den benzoiden, butenoiden usw. Charakter bestimmter Teile kondensierter Aromaten wird abgeleitet und ein einfaches Rechenverfahren zu ihrer Ermittlung angegeben. An Hand der Charakterogramme von 41 kondensierten Aromaten wird die Bedeutung dieser Zahlen für die Diskussion der chemischen Reaktivität aufgezeigt.

Notes: Partant de la méthode HMO on vérifie qu'un postulate de Clar est justifié. D'après ce postulat il existe dans les hydrocarbures aromatiques condensés certaines régions localisées de caractère benzènoide. On propose un indice pour le caractère benzèneoide, butènoide, etc., de certaines parties de ces molécules, et on présente une méthode simple pour calculer ces indices. On discute l'importance de ces indices pour la réactivité chimique.

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Two-particle density functions for a spin-projected single Slater determinant (1967)

Mestechkin, M. M.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 421-425

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Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: On a calculé, pour un déterminant de Slater projeté sur un sous-espace de spin défini, les fonctions de densité pour deux électrons, définies par McWeeny.

Abstract: Die Zweielektronenfunktionen von McWeeny, sind für eine Spin-projizierte Slaterdeterminante berechnet worden.

Notes: The two-particle density functions introduced by McWeeny are calculated for a spin-projected Slater determinant.

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URL: http://dx.doi.org/10.1002/qua.560010414

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Extended Hartree-Fock calculations for the helium ground state (1967)

Lefebvre, Roland ; Smeyers, Yves G.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 403-419

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Description / Table of Contents: La fonction d'onde d'un système à n électrons dans la méthode Hartree-Fock généralisée (EHF) est définie (Löwdin, Phys. Rev. 97, 1509 (1955)) comme le meilleur déterminant de Slater construit de spin-orbitales d'une flexibilité complète et projeté sur un sous-espace de symmétrie correcte. On compare cette fonction à l'interaction de configurations équivalente pour l'état 1S d'un atome à deux électrons. On démontre qu'il existe dans ce cas-ci un nombre infini de solutions du problème variationnel avec des énergies inférieures à celles de la fonction Hartree-Fock ordinaire, et avec des spin-orbitales satisfaisant à toutes les conditions de l'extrémum. On présente deux méthodes pour obtenir les spin-orbitales EHF. Une application à l'état fondamental de l'hélium avec une base contenant 4(s), 3(p0, 2(d0)) et 1(f0) orbitales de Slater donne 90% de l'énergie de corrélation.

Abstract: Die verallgemeinerte Hartree-Fock Funktion eines Systems mit n Elektronen ist als die beste projizierte Slaterdeterminante, die aus vollständig allgemeinen Einelektronfunktionen gebaut ist (Löwdin, Phys. Rev. 97, 1509 (1955)). Die Konfigurationswechselwirkungsfunktion, die zu einer verallgemeinerten Hartree-Fock Funktion äquivalent ist, wird für den 1S Zustand eines Zweielektronenatoms diskutiert. Es wird gezeigt, dass in diesem Falle unendlich viele Lösungen des Variationsproblems existieren, die tiefere Energien als die gewöhnliche Hartree-Fock Funktion haben. Zwei Lösungsmethoden werden beschriebn. Mit einer Basis von 4(s), 3(p0), 2(d0) und 1(f0) Slaterorbitalen wird 90% der Korrelationsenergie des Heliumatoms im Grundzustand erhalten.

Notes: The extended Hartree-Fock (EHF) wave function of an n-electron system is defined (Löwdin, Phys. Rev. 97, 1509 (1955)) as the best Slater determinant built on one-electron spin orbitals having a complete flexibility and projected onto an appropriate symmetry subspace. The configuration interaction equivalent to such a wavefunction for the 1S state of a two-electron atom is discussed. It is shown that there is in this case an infinite number of solutions to the variational problem with energies lower than that of the usual Hartree-Fock function, and with spin orbitals satisfying all the extremum conditions. Two procedures for obtaining EHF spin orbitals are presented. An application to the ground state of Helium within a basic set made up of 4(s), 3(p0), 2(d0) and 1 (f0) Slater orbitals has produced 90% of the correlation energy.

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URL: http://dx.doi.org/10.1002/qua.560010413

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L'Étude Théorique des Systèmes Périodiques. II. La Méthode LCAO—SCF—CO (1967)

André, Jean-Marie ; Gouverneur, Louis ; Leroy, Et Georges

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 451-461

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Source: Wiley InterScience Backfile Collection 1832-2000

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Description / Table of Contents: The formalism of the LCAO—SCF—CO method is described. This method enables the theoretical study of conjugated periodic systems. In these systems some integrals of the SCF operator matrix elements are evaluated by a semi-empirical procedure.

Abstract: Die LCAO—SCF—CO Methode für periodische, konjugierte Systeme wird beschrieben. Eine semi-empirische Methode für Berechnung der Integrale, die die Matrixelemente des SCF-Operators bilden, wird angegeben.

Notes: On décrit le formalisme de la méthode LCAO—SCF—CO permettant d'étudier les propriétés des systèmes périodiques conjugés et un procédé semi-empirique pour évaluer les intégrales intervenant dans les éléments de matrice de l'operateur du champ autocohérent de ces systèmes.

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Masthead (1967)

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967)

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URL: http://dx.doi.org/10.1002/qua.560010501

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Transformation of perturbation series into continued fractions, with application to an anharmonic oscillatorThis work was supported in part by research grant NsG-512 from the National Aeronautics and Space Administration. (1967)

Reid, Charles E.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 521-534

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The perturbation theory of the extended Hartree-Fock approximation for two-electron atomsThis research was supported by the National Aeronautics and space Administration Grant NsG-275-62. (1967)

Brown, W. Byers ; Nazaroff, G. V.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 463-491

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Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On décrit la méthode de perturbation du premier ordre en 1/Z, de l'approximation Hartree-Fock généralisée pour les atomes à deux électrons. Plusieurs résultats imprévus en découlent: (a) on prouve qu'il faut développer les orbitales en puissances de Z-1/2 plutǒt qu'en puissances de Z-1; (b) on montre qu'on peut au premier ordre découpler la partie associée à l'approximation Hartree-Fock restreinte; les énergies du second ordre sont donc additives; (c) l'équation qui décrit “l'orbitale de corrélation” au premier ordre admet en générale d'une infinité de solutions de toutes symmétries angulaires; (d) “l'équation de corrélation” au premier ordre est une équation aux valeurs propres linéaire et homogène avec un potentiel non local. Elle contient un paramètre μ et une valeur propre ω(μ), qui peut être interprétée comme l'amplitude de probabilité et l'énergie d'un état virtuel de corrélation. L'énergie de corrélation au second ordre est 2μ2ω.On présente des solutions numériques des “orbitales de corrélations” premier ordre. L'énergie de corrélation approximative au second ordre est presque 90% de la valeur exacte.On décrit la méthode de perturbation du premier ordre en 1/Z pour le développement naturel et von obtient les équations intégro-différentielles couplées du premier ordre. On discute la relation étroite entre les “orbitales de corrélation” du premier ordre de la méthode Hartree-Fock généralisée et les “orbitales de corrélation” naturelles du premier ordre. Une comparaison des résultats numériques aux ceux de Kutzelnigg en confirme la ressemblance.

Abstract: Die Störungstheorie erster Ordnung in 1/Z der verallgemeinerten Hartree-Fock Approximation für Zweielektronatome wird beschreibt. Mehrere unerwartete Resultate ergeben sich: (a) es wird gezeigt, dass die Orbitale in Potenzen von Z-1/2 eher als in Potenzen von Z-1 entwickelt müssen; (b) es wird gezeigt, dass der Korrelationsteil der Orbitale von dem Teil, der mit der beschränkten Hartree-Fock Approximation beigeordnet ist, losgekoppelt werden kann, so dass die Energien zweiter Ordnung additiv sind; (c) die Gleichung der “Korrelationsorbital” erster Ordnung hat unendlich viele Lösungen aller Winkelsymmertrien; (d) die Korrelationsgleichung erster Ordnung ist eine lineare, homogene Eigenwertgleichung mit einem non-lokalen Potential. Sie enthält ein Parameter μ und einen Eigenwert ω(μ), die als Wahrscheinlichkeitsamplitude und Energie eines virtuellen Korrelationszustands erklärt werden können. Korrelationsenergie zweiter Ordnung ist 2μ2ω.Numerische Lösungen für die Korrelationsorbitale erster Ordnung werden gegeben. Die approximative Korrelationsenergie zweiter Ordnung beträgt fast 90% des exakten Wertes.Die Störungstheorie erster Ordnung in 1/Z der natürlichen Entwicklung wird beschreibt und die gekoppelten Integro-Differentialgleichungen werden abgeleitet. Die nahe Benziehung zwischen den “Korrelationsorbitalen” erster Ordnung der verallgemeinerten Hartree-Fock-gleichungen und den “natürlichen Korrelationsorbitalen” erster Ordnung wird diskutiert. Die Ähnlichkeit wird durch Vergleichung der numerischen resultate mit den numerischen Resultaten Kutzelniggs bekräftigt.

Notes: The first-order 1/Z perturbation theory of the extended Hartree-Fock approximation for two-electron atoms is described. A number of unexpected features emerge: (a) it is proved that the orbitals must be expanded in powers of Z-1/2, rather than in Z-1 as expected; (b) it is shown that the restricted Hartree-Fock and correlation parts of the orbitals can be uncoupled to first order, so that second-order energies are additive; (c) the equation describing the first-order correlation orbital has an infinite number of solutions of all angular symmetries in general, rather than only one of a single symmetry as expected; (d) the first-order correlation equation is a homogeneous linear eigenvalue-type equation with a non-local potential. It involves a parameter μ and an eigenvalue ω(μ) which may be interpreted as the probability amplitude and energy of a virtual correlation state. The second-order correlation energy is 2μ2ω.Numerical solutions for the first-order correlation orbitals, obtained variationally, are presented. The approximate second-order correlation energy is nearly 90% of the exact value.The first-order 1/Z perturbation theory of the natural-orbital expansion is described, and the coupled first-order integro-differential perturbation equations are obtained. The close relationship between the first-order extended Hartree-Fock correlation orbitals and the first-order natural correlation orbitals is discussed. A comparison of the numerical results with those of Kutzelnigg confirms the similarity.

Additional Material: 5 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/qua.560010417

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A density functional representation of quantum chemistry. I. Motivation and general formalism (1967)

Primas, H.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 493-519

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: Le problème moléculaire de N électrons est reformulé à l'aide de la densité de particules et de son champ canonique conjugué. On emploie la représentation de Weyl des relations de commutation canoniques, et on introduit une fonctionnelle caractéristique du système moléculaire comme un valeur moyenne de la fonctionnelle de Weyl. On déduit l'équation Hamiltonienne de mouvement de la fonctionnelle caractéristique et on en discute l'approximation à cumulants. Dans cet article-ci on présente une discussion générale, indépendante du choix spécial de l'Hamiltonien.La représentation de la fonctionnelle de densité peut ětre considérée comme un pas vers une formulation d'une chimie quantique renormalisée. Les cumulants d'ordre inférieur de la fonctionnelle caractéristique sont accessibles aux mesures de précision effectives; d'autre part la plupart des résultats expérimentaux sont représentés correctement par une fonctionnelle caractéristique de type Gaussien. La signification des corrélations d'ordre supérieur n'est pas encore connue. On discute leur importance possible pour les systèmes biologiques et on pose la question à quel point la mécanique quantique est vérifiée expérimentalement pour les systèmes extrěmement complexes.

Abstract: Das molekulare N-Elektronenproblem wird mit Hilfe des Teilchendichteoperators und seinem kanonisch konjugierten Feldoperator reformuliert. Die Weylsche Darstellung der kanonischen Vertauschungsrelationen wird benützt und ein charakteristisches Funktional des molekularen Systems wird definiert als Erwartungswert des Weylschen Funktionals. Die Hamiltonschen Bewegungsgleichungen für das charakteristische Funktional werden abgeleitet und ihre Kummulantennäherung wird diskutiert. Dieser erste Teil beschränkt sich auf eine allgemeine Diskussion, unabhängig von einer speziellen Wahl des Hamilton-operators.Diese Darstellung kann als erster Schritt zur Formulierung einer renormierten Quantenchemie betrachtet werden. Die Kumulanten tiefster Ordnung des charakteristischen Funktionals sind Präzisionsmessungen zugänglich und umgekehrt sind die meistem Experimente durch ein charakteristisches Funktional vom Gausschen Typus korrekt dargestellt. Die Bedeutung der Korrelationen höherer Ordnung ist weder theoretisch noch experimentell bekannt, ihre mögliche Bedeutung für biologische Systeme wird erwähnt. Die Frage der empirischen Verifikation der Quantenmechanik für äusserst komplizierte Systeme wird aufgeworfen.

Notes: The molecular N-electron problem is formulated in terms of the particle density Q(r) = ∑σ(r - qn) and its canonically conjugated field. Weyl's representation of the canonical commutation relations is used and a characteristic functional of the molecular system is introduced as the expectation value of Weyl's functional exp {i(α, Q) + i(β, P)}. The Hamiltonian equation of motion for the characteristic functional is derived and its cumulant approximation is discussed. The first paper is restricted to a general discussion, independent of a special choice of the Hamiltonian.The density functional representation may be considered as a step towards a formulation of a renormalized quantum chemistry. The lowest order cumulants of the characteristic functional are accessible to actual precision measurements; on the other hand, most experiments are correctly represented by a characteristic functional of the Gaussian type. The significance of the higher order correlations is neither theoretically nor experimentally disclosed yet, their possible importance for biological systems is mentioned, and the question is raised of how far quantum mechanics is empirically confirmed for extremely complex systems.

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URL: http://dx.doi.org/10.1002/qua.560010418

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The theory of local degeneracy (1967)

Joseph, A.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 535-559

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On définie la notion d'Hamiltonien localement dégénéré. On démontre qu'un tel Hamiltonien est, par rapport à un nombre quantique particulier, dégénéré dans un seul niveau. On étudie quelques exemples de systèmes d'une seule particule et on les compare au problème de Kepler. On trouve dans ces exemples que le niveau dégénéré se trouve à la valeur limite à grandes distances de l'énergie potentielle. On déduit la condition d'existence et les propriétés de ces états-ci. On démontre aussi que, pour des états pareils, certains opérateurs peuvent avoir des fonctions propres en commun avec l'Hamiltonien. Pour cette raison on les appelle constantes du mouvement locales. Comme les constantes du mouvement ordinaires, elles simplifient le problème des valeurs propres. En particulier on étudie par cette méthode-ci le potentiel q/r2. Finalement on discute l'application des résultats obtenus à la diffusion de résonance et au calcul de nombre des états liés.

Abstract: Es wird der Begriff eines lokal entarteten Hamilton-Operators definiert. Es wird bewiesen, dass ein solcher Hamilton-Operator, mit Rücksicht auf eine spezielle Quantenzahl, nur in einem einzigen Niveau entartet ist. Einige Beispiele von Einteilchensystemen werden untersucht und mit dem Keplerproblem verglichen. In diesen Beispielen befindet sich das entartete Niveau an dem Grenzwert für grosse Abstände der potentiellen Energie. Die Existenzbedingungen und die Eigenschaften dieser Zustände werden abgeleitet. Es wird auch bewiesen, dass für solche Zustände, gewisse Operatoren mit dem Hamilton-Operator gemeinsamen Eigenfunktionen haben können. Aus diesem Grund werden sie als lokale Bewegungskonstanten bezeichnet. Wie gewöhnliche Bewegungskonstanten können sie das Eigenwertproblem vereinfachen. Insbesondere wird das Potential q/r2 mit diesen Methoden studiert. Schliesslich werden die Anwendungen der Resultäte auf Resonanzstreuung und auf die Berechnung der Anzahl der gebundenen Zustände angedeutet.

Notes: The concept of a locally degenerate Hamiltonian is defined. It is shown that such a Hamiltonian is, with respect to a particular quantum number, degenerate in a single level only. Some examples of single-particle systems suggested by a study of the stereographic projection are examined, a comparison being made with the Kepler problem. It is found, in these examples, that the degenerate level lies at the limiting value of the potential energy at large distances and the condition for the existence and the properties of these states are deduced. It is also shown that for such states certain operators may have eigenfunctions in common with the Hamiltonian and for this reason they are called local constants of the motion. Like ordinary constants of the motion, they help to simplify the eigenvalue problem and, in particular, the singular inverse square law potential is studied by this approach. Finally, the application of the results to resonance scattering (by bound states near the continuum) and to the calculation of the number of bound states is indicated.

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URL: http://dx.doi.org/10.1002/qua.560010503

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SCF—CI and SCF open-shell studies of the base components of the nucleic acids (1967)

Kuprievich, V. A.

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 1 (1967), S. 561-575

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ISSN: 0020-7608

Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Description / Table of Contents: On étudie la structure électronique de l'adénine, de la guanine, de la cytosine, de la thymine et de l'uracile dans leurs états fondamentaux, ionisés, excités singulets et triplets, par les méthodes SCF—CI et SCF “couche ouverte”. Les états singulets correspondent d'une façon satisfaisante aux maxima des bandes d'absorption. La différence des énergies des deux premiers états singulets de l'adénine est très petite. La méthode “couche ouverte” donne le měme potentiel d'ionisation relatif que la méthode SCF. Les énergies des états triplets coincident presque dans les deux méthodes. Les énergies de transition au premier état triplet des pyrimidines sont plus grandes que celles des purines. L'énergie de séparation singulet-triplet des purines s'accorde aux valeurs expérimentales.

Abstract: Die π-Elektronstruktur des Adenins, Guanins, Cytosins, Thymins und Uracils in ihren Grundzuständen, ionisierten Zuständen, angeregten Singulett- und Triplett-Zuständen wird vermittelst der SCF—CI und der SCF “offene Schale”-Methoden untersucht. Die Singulettzustände stimmen mit den Maxima der Absorptionsbanden gut überein. Die Energiedifferenz zwischen den zwei ersten Singulettzustände des Adenins ist sehr klein. Die “offene Schale”-Methode ergibt dieselbe relative Ionisierungsspannung als die SCF-Methode. Die Energien der Triplettzustände fallen in den beiden Methoden beinahe zusammen. Die Übergangsenergien zum ersten Triplett-zustand der Pyrimidine sind grösser als die der Purine. Die Singulett-Triplett-Trennungsenergie der Purine stimmt mit den experimentellen Tatsachen überein.

Notes: The π-electron structure of adenine, guanine, cytosine, thymine and uracil in their ground, ionized, singlet and triplet excited states are investigated by means of the SCF—CI and SCF open-shell methods. The calculations for singlets fit the maxima of the absorption bands well. The energy difference between the first and the second singlet states of adenine is found to be very small. The open-shell method leads to the same relative ionization potential as does the SCF (with the integrals empirically corrected). The calculated energies of the triplet states almost coincide in the SCF open-shell and the SCF—CI approximation. The calculated transition energies to the first triplet state of the pyrimidines are higher than in the case of the purines. The value of the singlet-triplet separation energy of purines is in agreement with experimental data.

Additional Material: 1 Ill.

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URL: http://dx.doi.org/10.1002/qua.560010504

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