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  • 1985-1989
  • 1965-1969  (1,712)
  • 1967  (1,712)
  • Polymer and Materials Science  (1,642)
  • Computational Chemistry and Molecular Modeling  (60)
  • Pancreas  (10)
Material
Years
  • 1985-1989
  • 1965-1969  (1,712)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 74-84 
    ISSN: 1432-0428
    Keywords: Spontaneous diabetes ; Chinese Hamster ; Cricetulus griseus ; Insulin in Plasma ; Insulin in pancreas ; Pancreas ; Free fatty acids ; Detection of diabetes ; Muscle metabolism ; Adipose tissue metabolism ; Liver glycogen
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Nous avons dépisté le diabète chez le hamster chinois par des dosages qualitatifs de la glucosurie. Nous avons ensuite caractérisé chaque cas par la mesure quantitative du glucose urinaire, par des surcharges au glucose et par le dosage de la glycémie à jeun et non à jeun, des corps cétoniques, des acides gras libres (AGL) plasmatiques, de l'insuline plasmatique et pancréatique, et des taux hépatiques de glycogène. En outre, nous avons mesuré l'utilisation du glucose par le diaphragme et le tissu adipeux épididymaire, avec et sans stimulation par l'insuline. Les animaux nécessitant l'administration d'insuline ont reçu leur dernière injection au moins 24 heures avant chaque étude. Les taux de glucose dans l'urine ont varié entre 51 et 1600 mg par 24 heures. Le test de surcharge au glucose s'est révélé nettement anormal chez les animaux diabétiques, la surcharge étant de 250 mg de glucose par kg de poids. Chez les diabétiques, la glycémie après surcharge est fortement variable, contrairement à l'uniformité de la réponse observée chez les non-diabétiques. Le glycogène hépatique à jeun est de 3, 1±1,0% pour les diabétiques, et de 0,4±0,7% de poids frais d'organes pour les non-diabétiques. Les taux plasmatiques des AGL et des corps cétoniques sont manifestement élevés chez les hamsters chinois diabétiques et cétosiques alors que le contenu en insuline du plasma et du pancréas est abaissé de façon marquée. Ceci n'a pas été observé chez les diabétiques moins sévères qui se rapprochent des non-diabétiques. Les AGL plasmatiques sont élevés chez tous les hamsters chinois (moyenne pour les non-diabétiques 1800μE/l, pour les diabétiques sévères 2800μE/l) Les taux d'AGL sont les mêmes à jeun et non à jeun chez les animaux non-diabétiques ou souffrant d'un diabète léger. L'utilisation du glucose par le muscle et le tissu adipeux du hamster diabétique ne diffère pas significativement de celle des tissus non-diabétiques et leur stimulation par l'insuline est semblable. L'insuline immunoréactive des hamsters traités à l'insuline reste élevée dans le plasma pendant plus de 26 jours après la dernière injection. — Ces observations semblent indiquer que le pancréas des hamsters chinois diabétiques sécrète plus difficilement de l'insuline en réponse à une stimulation par le glucose. Les taux normaux d'insuline plasmatique chez les hamsters avec un diabète léger, mais présentant pourtant une nette glucosurie, une hyperglycémie et une réponse anormale à la surcharge en glucose, suggèrent l'existence d'une interférence avec l'action normale de l'insuline et peut-être une augmentation de la production de glucose par le foie.
    Abstract: Zusammenfassung Beim chinesischen Hamster wurde der Diabetes durch qualitative Urinuntersuchungen auf Glucose aufgespürt. Es wurde dann jeder Fall näher charakterisiert durch quantitative Uringlucosebestimmungen, Glucosebelastungsproben und Messungen von Nüchtern- und Nichtnüchternwerten für Blutzucker, Blutketonkörper, freie Fettsäuren (FFS) und Insulin im Plasma, von Insulin im Pankreas, und von Nüchternwerten für Leberglykogen. Außerdem wurde der Glucoseverbrauch des Zwerchfells und des epididymalen Fettgewebes sowie mit, als auch ohne Insulin gemessen. Diejenigen Tiere, die Insulin erforderten, erhielten ihre letzte Injektion 24 Stunden vor dem Versuch. Glucosurie schwankte zwischen 51 und 1600 mg/24 Std. Bei einer Belastung von 250 mg/kg wiesen die diabetischen Tiere eine wesentlich verminderte Glucosetoleranz auf. Sie sprachen sehr unterschiedlich auf die Glucosebelastung an, während die nichtdiabetischen Tiere in ihrer Reaktion einheitlich waren. — Im Vergleich zu den nichtdiabetischen Hamstern, wo die Mittelwerte für Nüchternleberglykogen bei 0.4±0.7 Prozent des Frischlebergewichtes lagen, hatten die diabetischen Tiere einen Glykogengehalt der Leber von 3.1±1.0 Prozent. — Chinesische Hamster mit schwerem Diabetes haben deutlich erhöhte FFS-Werte und Ketonkörper, sowie einen wesentlich niedrigeren Plasma- und Pankreasinsulinspiegel. Bei Tieren mit leichter Diabetes hingegen sind diese Untersuchungen, im Vergleich zu den Kontrolltieren, unverändert. Alle chinesischen Hamster haben hohe Plasma-FFS-Werte (nichtdiabetische 1800μE/L, schwer diabetische 2800μE/L). Nüchtern- und Nichtnüchternwerte für FSS sind beim leicht diabetischen oder gesunden Tier etwa gleich hoch. Der Glucoseabbau durch Muskel- und Fettgewebe des diabetischen und nichtdiabetischen Hamsters unterscheidet sich nicht sehr, und beide Gruppen sprechen ungefähr gleich stark auf Insulinstimulierung an. Das im Plasma der insulinbehandelten Tiere vorkommende immunreaktive Insulin ist noch 26 Tage nach der letzten Injektion nachweisbar. — Diese Ergebnisse lassen vermuten, daß der Pankreas des diabetischen Hamsters nur schwerlich in der Lage ist, nach einer Glucosestimulierung Insulin auszuschütten. Die Beobachtung, daß der Plasma-Insulinspiegel im leichten Diabetes normal ist, diese Tiere jedoch Glucosurie, Hyperglykämie und abnormale Glucosetoleranz aufweisen, führt zu der Annahme, daß ein leichter Diabetes beim chinesischen Hamster eine Beeinträchtigung der Insulinwirkung mit sich bringen, und Ursache einer vermehrten Glucoseproduktion durch die Leber sein kann.
    Notes: Summary Diabetes in Chinese hamster was initially detected by qualitative tests for urine glucose. The disease was characterized by quantitating urine glucose, glucose tolerance tests and measurement of fasting and nonfasting blood sugar, blood ketones, plasma free fatty acids (FFA), plasma insulin, pancreatic insulin and fasting levels of liver glycogen. In addition, basal levels of glucose utilization by diaphragms and epididymal adipose tissue and the response of these tissues to insulin was measured. Those animals requiring insulin received their last injection 24 hours prior to study. Glucosuria varied from 51 to 1600 mg/24 hours. Diabetics had significantly decreased tolerance to a 250 mg/kg glucose load. The response varied considerably in diabetics but was uniform in the nondiabetics. Diabetics had mean fasting liver glycogen levels of 3.1±1.0 compared with 0.4± 0.7 percent of fresh liver weight for nondiabetics. Severely ketotic, diabetic Chinese hamsters had significantly elevated FFA and ketone levels and significantly lower plasma and pancreatic insulin levels but mild diabetics did not differ from controls with respect to these parameters. All Chinese hamsters had high plasma FFA levels (nondiabetics 1800μE/l, severe diabetics 2800μE/l. Fasting and nonfasting FFA levels did not differ in mild diabetic and nondiabetic animals. Muscle and adipose tissues from diabetic hamsters had basal rates similar to nondiabetics and had similar responses to insulin. Hamsters maintained on insulin had greatly elevated immunoreactive insulin levels in their plasma, which persisted for 26 days. — The data suggest that severely diabetic hamsters may have a decreased ability of the pancreas to secrete insulin in response to a glucose stimulus. The observations that plasma insulin levels are normal in mild diabetics but that these animals have glucosuria, hyperglycemia and abnormal glucose tolerance suggest that mild diabetes in the Chinese hamster may involve interference with insulin action and/or increased hepatic glucose output.
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  • 2
    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.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 238-248 
    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.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 249-265 
    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.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 47-49 
    ISSN: 1432-0428
    Keywords: Calcium ; Magnesium ; Insulin ; Secretion Rabbit ; Pancreas ; Foetus
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Le glucose, le glucagon, le tolbutamide et la L-leucine stimulent la libération d'insuline par le pancréas de lapin étudié in vitro. Cette stimulation n'a pas lieu lorsque le milieu d'incubation est préparé sans calcium. L'absence de magnésium n'a pas d'effet sur la sécrétion insulinique stimulée par le glucose, alors que le magnésium à la concentration de 10mM exerce un effet inhibiteur. La concentration optimale du calcium extracellulaire pour la sécrétion insulinique est de 2.64 mM. La stimulation de la sécrétion insulinique par le glucose est également supprimée par l'absence de calcium pour le pancréas de foetus de lapin âgé de 27 jours.
    Abstract: Zusammenfassung Die Freisetzung von Insulin aus Kaninchen-Pankreas in vitro wird durch Glucose, Glucagon, Tolbutamid oder L-Leucin stimuliert. In allen diesen Fällen bleibt die Stimulation in Abwesenheit von Calcium in Inkubationsmedium aus. In Abwesenheit von Magnesium stimulierte Glucose die Insulinsekretion weiter, währenddem eine Erhöhung der Magnesiumkonzentration auf 10 mM deutlich hemmend wirkte. Die optimale Sekretion von Insulin erfolgte bei einer Calciumkonzentration von 2.64 mM. In Abwesenheit von Calcium wurde die Freisetzung von Insulin auch aus dem Pankreas von 27 Tage alten Foeten gehemmt.
    Notes: Summary Glucose, glucagon, tolbutamide and L-leucine stimulated insulin secretion from rabbit pancreas studiedin vitro. In each case stimulation was inhibited by omitting calcium from the incubation medium. The omission of magnesium had no effect on glucose stimulated insulin secretion but 10 mM magnesium inhibited secretion. Optimal secretion of insulin occurred at an extracellular calcium concentration of 2.64 mM. The omission of calcium inhibited glucose-stimulated insulin secretion from pancreas of 27 day rabbit foetuses.
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  • 6
    ISSN: 1432-0428
    Keywords: Spontaneous diabetes ; Chinese hamster ; Cricetulus griseus ; Ultrastructure ; Pancreas ; Beta cells ; Islets ; Alpha cells ; Nerve endings in pancreas ; Glycogen ; Basement membrane ; Capillaries
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Nous avons examiné au microscope électronique les îlots de Langerhans de 15 hamsters chinois dont 7 étaient diabétiques et 8 étaient non-diabétiques, provenant soit des mêmes nichées, soit sans lien de parenté, mais concordant quant au sexe et à l'âge. Chez les animaux de contrôle, les cellulesβ prédominent et sont riches en granules, formés de vésicules de différentes tailles avec un contenu légèrement granulaire ou homogène. Dans de rares vésicules, on observe un noyau dense ou une barre centrale irrégulière et dense. Les granulations des cellulesα sont uniformément rondes, très denses et limitées par des membranes; elles sont assez clairsemées à l'exception de la périphérie des îlots. Au début du diabète, les cellulesβ sont abondantes mais, soit dégranulées, soit en voie d'infiltration glycogénique. Plus tardivement dans la maladie, les îlots ne contiennent presque que des cellulesα, les cellulesβ ayant graduellement disparu.
    Abstract: Zusammenfassung Die Langerhans'schen Inseln von 15 chinesischen Hamstern (7 diabetischen und 8 entweder verwandten oder nicht verwandten Kontrolltieren gleichen Geschlechts und Alters) wurden elektronenmikroskopisch untersucht. In den Kontrolltieren überwiegen dieβ-Zellen die reich an Granula sind. Die meisten davon sind Bläschen verschiedener Größe mit einem blassen, körnigen oder homogenen Inhalt. Nur einige weisen einen dichten zentralen Kern auf oder einen unregelmäßigen dichten zentralgelegenen Stab. Dieα-Zellen haben einheitlich runde und dichte, durch eine Membrane begrenzte Granula und sind spärlich verteilt, außer an der Peripherie der Inseln. Im frühen Diabetes mellitus sind dieβ-Zellen in großer Zahl vorhanden aber erscheinen entweder degranuliert oder in verschiedenen Phasen der Glykogenablagerung. In späteren Stadien der Krankheit, als Folge des allmählichen Verschwindens derβ-Zellen, bestehen die Inseln fast nur noch ausα-Zellen.
    Notes: Summary Islets of Langerhans of 15 Chinese hamsters (7 diabetic and 8 either related or unrelated controls of the same sex and age) have been examined by electron microscopy. Beta cells of control animals predominate and have abundant granules most of which are vesicles of varying sizes with a pale granular or homogeneous content. Only a few have a dense central core or irregular dense central bar. Alpha cells have uniformly round, dense, membrane-limited granules and are sparse except at the periphery of the islet. Early in diabetes mellitus beta cells are abundant but either agranular or in various stages of glycogen storage. Late in the disease the islets are reduced to almost all alpha cells, the beta cells having gradually disappeared.
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  • 7
    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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  • 8
    ISSN: 1432-0428
    Keywords: Spontaneous diabetes ; Sand rat ; Psammomys obesus ; Insulin in plasma ; Insulin resistance ; Acetohexamide ; Diet and diabetes ; Nutrition and diabetes ; Obesity ; Pancreas ; Infections ; Adipose tissue in vitro
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé Certaines caractéristiques particulières du rat des sables en font un animal d'expérience de grande valeur. L'augmentation des taux plasmatiques d'insuline et de glucose est liée chez lui à une augmentation de la prise de nourriture. Tout comme c'est le cas pour le diabète humain de type adulte, il semble y avoir participation d'un élément de résistance à l'insuline qui peut être mis en évidencein vitro par la sensibilité diminuée du tissu adipeux du rat des sables à l'insuline de porc. Il semblerait qu'un traitement prophylactique par l'acétphexamide exerce un effet protecteur contre l'effet diabétogène d'un régime riche en calories. — Il semble raisonnable de penser que le syndrome diabétique du rat du sable, si facilement provoqué par la modification du régime, pourrait s'avérer être un instrument de grande valeur dans l'étude des mécanismes pathogénétiques possibles du syndrome diabétique.
    Abstract: Zusammenfassung Die Sandratte verfügt über mehrere einmalige Eigenschaften, die aus ihr ein wertvolles Laboratoriumstier machen. Das häufige Auftreten von erhöhtem Plasma-Insulinspiegel und Hyperglykämie steht im Zusammenhang mit einer gesteigerten Nahrungsaufnahme. Wie im menschlichen Reife-Diabetes scheint auch hier eine Insulinresistenz aufzutreten, und diese istin vitro nachweisbar: das inkubierte Fettgewebe der Sandratte spricht auf eine Stimulierung mit steigenden Dosen von Schweineinsulin nur wenig an. Prophylaktische Behandlung mit Acetohexamid deutet auf eine Schutzwirkung gegen die diabetogenen Folgen einer kalorienreichen Diät. — Es ist zu erwarten, daß das diabetische Syndrom in der Sandratte, das so leicht durch Manipulationen der Diät erzeugt werden kann, ein nützliches Modell zur Untersuchung der möglichen Mechanismen der diabetischen Pathogenese darstellen wird.
    Notes: Summary The sand rat has some unique attributes, which make it a valuable experimental animal. The occurrence of increased plasma insulin levels and of hyperglycemia is linked to an increased food intake. As in the human maturity-onset type diabetes, there seems to be an element of insulin resistance, and this can be demonstratedin vitro by the relative unresponsiveness of sand rat adipose tissue to increasing doses of pork insulin. Prophylactic treatment with acetohexamide seems to have some protective effect against the diabetogenic results of a high calory diet. — It is expected that the diabetic syndrome in sand rats, which can be so easily induced by dietary manipulation, will be a valuable tool in helping to clarify some of the possible mechanisms in the syndrome of diabetes mellitus.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 143-166 
    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.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Diabetologia 3 (1967), S. 212-221 
    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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  • 11
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 1-4 
    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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  • 12
    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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  • 13
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 61-68 
    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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  • 14
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 135-148 
    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.
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  • 15
    Electronic Resource
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    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 589-613 
    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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  • 16
    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.
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  • 17
    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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  • 18
    Electronic Resource
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    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 673-679 
    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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  • 19
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 685-689 
    ISSN: 0006-3525
    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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  • 20
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 697-713 
    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.
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  • 21
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    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 723-726 
    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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  • 22
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 23
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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.
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  • 24
    Electronic Resource
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    New York : Wiley-Blackwell
    Biopolymers 5 (1967) 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 25
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    Biopolymers 5 (1967), S. 815-820 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 26
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    Biopolymers 5 (1967), S. 837-845 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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.
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  • 27
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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.
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  • 28
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 29
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    Biopolymers 5 (1967), S. 79-94 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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.
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  • 30
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    Biopolymers 5 (1967), S. 69-77 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 31
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    Biopolymers 5 (1967), S. 879-886 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 32
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    Biopolymers 5 (1967), S. 773-783 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 33
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    Biopolymers 5 (1967) 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 34
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    Biopolymers 5 (1967), S. 27-35 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 35
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    Biopolymers 5 (1967), S. 37-59 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 36
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 37
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    Biopolymers 5 (1967), S. 105-122 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 38
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    Biopolymers 5 (1967) 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 39
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    Biopolymers 5 (1967), S. 821-835 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 40
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    Biopolymers 5 (1967), S. 876-878 
    ISSN: 0006-3525
    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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  • 41
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    Biopolymers 5 (1967), S. 161-172 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 42
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    Biopolymers 5 (1967), S. 887-897 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 43
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    Biopolymers 5 (1967), S. 915-919 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 44
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    Biopolymers 5 (1967), S. 899-913 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 45
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    Biopolymers 5 (1967), S. 236-241 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 46
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    Biopolymers 5 (1967), S. 243-249 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 47
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 48
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    Biopolymers 5 (1967), S. 259-271 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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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  • 49
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    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.
    Additional Material: 6 Ill.
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  • 50
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    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 325-326 
    ISSN: 0006-3525
    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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  • 51
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    International Journal of Quantum Chemistry 1 (1967) 
    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
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  • 52
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    International Journal of Quantum Chemistry 1 (1967), S. 1-6 
    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
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  • 53
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    International Journal of Quantum Chemistry 1 (1967), S. 7-12 
    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
    Additional Material: 2 Ill.
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  • 54
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    International Journal of Quantum Chemistry 1 (1967), S. 13-36 
    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
    Additional Material: 2 Ill.
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  • 55
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    International Journal of Quantum Chemistry 1 (1967), S. 37-102 
    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
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  • 56
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    International Journal of Quantum Chemistry 1 (1967), S. 119-119 
    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
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  • 57
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    International Journal of Quantum Chemistry 1 (1967) 
    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
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  • 58
    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
    Additional Material: 2 Tab.
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  • 59
    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
    Additional Material: 4 Ill.
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  • 60
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    International Journal of Quantum Chemistry 1 (1967), S. 139-145 
    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 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.
    Additional Material: 4 Ill.
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  • 61
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    International Journal of Quantum Chemistry 1 (1967), S. 161-167 
    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 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%.
    Additional Material: 3 Tab.
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  • 62
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    International Journal of Quantum Chemistry 1 (1967), S. 147-159 
    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 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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  • 63
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    International Journal of Quantum Chemistry 1 (1967) 
    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
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  • 64
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    International Journal of Quantum Chemistry 1 (1967), S. 187-190 
    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 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.
    Additional Material: 1 Tab.
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  • 65
    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
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  • 66
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    International Journal of Quantum Chemistry 1 (1967), S. 225-241 
    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
    Additional Material: 5 Ill.
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  • 67
    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 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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  • 68
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    International Journal of Quantum Chemistry 1 (1967), S. 191-215 
    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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  • 69
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    International Journal of Quantum Chemistry 1 (1967), S. 243-249 
    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
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  • 70
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    International Journal of Quantum Chemistry 1 (1967), S. 285-291 
    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 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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  • 71
    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 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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  • 72
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    International Journal of Quantum Chemistry 1 (1967) 
    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
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  • 73
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    International Journal of Quantum Chemistry 1 (1967), S. 271-283 
    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: 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.
    Additional Material: 3 Ill.
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  • 74
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 321-325 
    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 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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  • 75
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 311-319 
    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 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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  • 76
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 293-310 
    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: 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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  • 77
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 327-335 
    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 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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  • 78
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    International Journal of Quantum Chemistry 1 (1967), S. 349-355 
    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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  • 79
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    International Journal of Quantum Chemistry 1 (1967), S. 357-359 
    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 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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  • 80
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 337-347 
    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: 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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  • 81
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    International Journal of Quantum Chemistry 1 (1967), S. 361-364 
    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 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.
    Additional Material: 2 Ill.
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  • 82
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    International Journal of Quantum Chemistry 1 (1967), S. 365-368 
    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 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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  • 83
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    International Journal of Quantum Chemistry 1 (1967), S. 369-372 
    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: 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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  • 84
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    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 373-378 
    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 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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  • 85
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    International Journal of Quantum Chemistry 1 (1967), S. 379-401 
    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: 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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  • 86
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    International Journal of Quantum Chemistry 1 (1967), S. 421-425 
    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 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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  • 87
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    International Journal of Quantum Chemistry 1 (1967), S. 403-419 
    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: 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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  • 88
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    International Journal of Quantum Chemistry 1 (1967), S. 451-461 
    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 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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  • 89
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    International Journal of Quantum Chemistry 1 (1967) 
    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
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  • 90
    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
    Additional Material: 7 Tab.
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  • 91
    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 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.
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  • 92
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    International Journal of Quantum Chemistry 1 (1967), S. 493-519 
    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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  • 93
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    International Journal of Quantum Chemistry 1 (1967), S. 535-559 
    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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  • 94
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    International Journal of Quantum Chemistry 1 (1967), S. 561-575 
    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.
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  • 95
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    International Journal of Quantum Chemistry 1 (1967), S. 591-594 
    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: Employant une fonction d'onde d'électrons libres on a évalué la section efficace d'excitation au premier état excité et celle d'ionisation du benzène dans une collision inélastique avec des électrons rapides. Dans le procès d'ionisation la section efficace est maximum quand l'électron secondaire quitte la molécule avec une énergie cinétique d'environ 3 eV. Si l'énergie de l'électron incident dépasse 20 eV la section efficace d'ionisation est plus grande que celle d'excitation et vice versa.
    Abstract: Mit einer Freielektronenfunktion wird der Wirkungsquerschnitt für die Anregung des ersten angeregten Zustands und der für die Ionisierung des Benzols abgeschätzt. In dem Ionisierungsprozess hat der Wirkungsquerschnitt ein Maximum, wenn das sekundäre Elektron das Molekül mit einer kinetischen Energie von ungefähr 3 eV verlässt. Wenn die Energie des einfallenden Elektrons grösser als 20 eV ist, wird der Querschnitt für Ionisierung grösser als der für Anregung, und umgekehrt.
    Notes: Using a free-electron wave function the cross section for the excitation of the first excited state and that for the ionization of benzene in the inelastic collision with fast electrons have been estimated. In the ionization process the cross section has been found to be maximum when the secondary electron moves away with a kinetic energy of about 3 eV. For incident-electron energy above 20 eV the cross section for ionization is larger than that for excitation, while below it the reverse is the case.
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  • 96
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    International Journal of Quantum Chemistry 1 (1967), S. 605-613 
    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: A time-saving way of programming an SCF method for molecules (SCF—MO—LCGO method) is proposed, which is based on an economic way of handling the two-electron-multicenter integrals.
    Abstract: On présente un programme efficace pour des calculs SCF moléculaires, dont l'efficacité dépend d'un traitement rationnel des intégrales à deux centres.
    Notes: Es wird eine rechenzeitsparende Programmierung eines SCF-Verfahrens für Moleküle (SCF—MO—LCGO-Verfahren) angegeben, die auf einer rationellen Behandlung der Zweielektronen-Mehrzentrenintegrale beruht.
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  • 97
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    International Journal of Quantum Chemistry 1 (1967), S. 595-604 
    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 discute le calcul des polarisabilités des molécules sphériques du point de vue de l'approximation de l'énergie d'excitation moyenne de la théorie des perturbations. On démontre que, tandis qu'on peut toujours obtenir de l'information sur l'énergie dans des champs externes des phénomènes de polarisation, on peut aussi obtenir un peu d'information sur la fonction d'onde non perturbée de la susceptibilité magnétique et de l'effet Cotton-Mouton. Dans le cas de l'argon ces informations-ci s'accordent aux résultats des calculs SCF. On prédit les constantes de Cotton-Mouton pour le krypton et le xénon.
    Abstract: Die Berechnung der Polarisierbarkeiten sphärischer Moleküle wird im Lichte der Mittelanregungsenergieannäherung der Störungstheorie diskutiert. Es wird gezeigt dass, während Information von der Energie in äusseren Feldern immer aus Polarisationser-scheinungen erhalten werden kann, gewisse Information von der ungestörten Wellenfunktion auch aus magnetischen Susceptibilitäts und Cotton-Mouton Effektmessungen erhalten werden kann. Für Argon stimmte solche Information mit SCF-Berechnungen überein. Die Cotton-Mouton-Konstanten für Krypton und Xenon werden vorhergesagt.
    Notes: The calculation of the polarizabilities of spherical molecules is discussed in the light of the average excitation energy approximation to perturbation theory. It is shown that whilst information about the energy in external fields can always be obtained from polarization phenomena, some information about the unperturbed wave function also can be obtained from magnetic susceptibility and Cotton-Mouton effect measurements. In the case of argon such information was found to agree with the results of self-consistent-field calculations. Predictions of the Cotton-Mouton constants of krypton and xenon are made.
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  • 98
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    International Journal of Quantum Chemistry 1 (1967), S. 577-589 
    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 une série de calculs simplifiés de type LCAO—MO—SCF pour les dix molécules possibles de type ClF, IBr, etc. Dans ce modèle-ci on ne considère que les électrons de liaison. La paire de deux électrons liés est décrite par un seul déterminant de Slater et toutes les intégrales sont évaluées par des méthodes sémi-empiriques. Pour chaque molécule on obtient la séparation à l'équilibre, l'énergie de liaison et la courbe de potentiel. On étudie en détail l'effet du paramètre de Wolfsberg-Helmholtz sur le terme non-diagonal.Sans aucun ajustement empirique les énergies électroniques calculées sont correctes à 2% près tandis que les énergies de liaison sont environ 1 eV trop basses. Les distances à l'équilibre sont trop petites. Cependant les tendances de ces quantités-ci s'accordent aux données expérimentales. Un seul ajustment du paramètre de Wolfsberg-Helmholtz, K, suffit pour accorder les énergies de liaison aux données antérieurement donnent d'assez mauvais résultats ici. Par conséquent on propose d'autre alternatives pour déterminer a priori les meilleures valeurs pour ce paramètre.En conclusion on note que les approximations employées sont compatibles et bien adaptées à la déscription des systèmes à liaisons σ.
    Abstract: Es waren eine Reihe von vereinfachten LCAO—MO—SCF Berechnungen für die zehn möglichen Interhalogenmoleküle gemacht worden. In diesem Modell werden nur die bindenden Elektronen in Betracht gezogen. Das Elektronpaar wird von einer einzigen Slaterdeterminante beschrieben und alle Integrale mit semi-empirischen Methoden ausgewertet. Gleichgewichtsabstände, Bindungsenergien und Potentialkurven werden für jedes Molekül erhalten. Der Effekt des Wolfsberg-Helmholtzschen Parameters auf das nicht-diagonale Glied wird genau untersucht.Ohne empirische Berichtigungen sind die berechneten elektronischen Energien bis auf 2% richtig. Die Bindungsenergien sind ungefähr 1 eV zu klein. Die Gleichgewichts-abstände sind zu klein. Die beobachtete Tendenz dieser Eigenschaften ist aber in befriedigender Übereinstimmung mit den Experimenten. Eine einzige empirische Berichtigung des Wolfsberg-Helmholtzschen Parameter K genügt um die berechneten Bindungsenergien der ganzen Reihe in guter Übereinstimmung mit den Experimenten zu bringen. Die früher vorgeschlagenen empirischen Formen für K geben hier schlechte Resultate; andere Methoden für optimalen “a priori”-Bestimungen dieses Parameters werden vorgeschlagen.Die hier angewendeten Annäherungen scheinen verträglich und für die Beschreibung von σ-Systemen passed zu sein.
    Notes: A series of simplified LCAO—MO—SCF calculations has been carried out on the ten possible interhalogen molecules. In the model only the bonding electrons are considered explicitly. The bonded electron pair is described by a single Slater determinant and all integrals are evaluated by unadjusted, semiempirical techniques. Equilibrium separations, binding energies, and potential curves are obtained for each molecule, and the effect of the Wolfsberg-Helmholtz parameter in the off-diagonal term is studied in detail.Without empirical adjustment, calculated electronic energies are accurate to about 2% while the bonding energies are too low by about 1 eV. Equilibrium distances are too small. The observed trends of these properties, however, are in satisfactory agreement with experiment. If desired, a single empirical adjustment of the Wolfsberg-Helmholtz parameter, K, suffices to bring the calculated binding energies of the entire series into good agreement with experiment. Previously suggested empirical forms for K yield poor results here and alternate proposals concerning the best procedure for determining, a priori, the best values for this parameter are made.In general it is concluded that the approximations utilized in this work are compatible and well-suited for the description of σ-bonded systems.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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  • 99
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 615-629 
    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 a développé une méthode générale pour déterminer le nombre exact d'états liés pour un potentiel donné dans un espace à N dimensions (N ≧ 2). Cette méthode est appliquée à un potentiel central de la forme \documentclass{article}\pagestyle{empty}\begin{document}$$V\left(r \right) = - \lambda r^{\alpha - 2} \left({r_0^\alpha + r^\alpha } \right)^{- 2}$$\end{document} Où λ, r0, α sont des nombres positifs arbitraires. Pour ce potentiel-ci on obtient des solutions analytiques. On discute aussi quelques propriétés de la dégénerescence des niveaux d'énergie par rapport au moment cinétique orbital l.
    Abstract: Es wird eine allgemeine Methode für die Bestimmung der exakten Anzahl von gebundenen Zuständen in einem gegebenen Potential in einem N-dimensionalem Raum angegeben (N ≧ 2). Diese Methode wird auf ein Zentralpotential von der Form \documentclass{article}\pagestyle{empty}\begin{document}$$V\left(r \right) = - \lambda r^{\alpha - 2} \left({r_0^\alpha + r^\alpha } \right)^{- 2}$$\end{document} wo willkürliche, positive Zahlen sind, angewendet. Für dieses Potential werden analytischen Lösungen erhalten. Gewisse Eigenschaften der Entartung der Energieniveaus, mit Rücksicht auf den Bahndrehimpuls l, werden auch diskutiert.
    Notes: A general method is developed for determining the exact number of bound states for a given potential in a space of N dimensions (N ≧ 2). This is applied to a central potential of the form \documentclass{article}\pagestyle{empty}\begin{document}$$ V\left(r \right) = - \lambda r^{\alpha - 2} \left({r_0^\alpha + r^\alpha } \right)^{- 2} $$\end{document} where λ, r0, α are arbitrary positive numbers, and for which analytical solutions are obtained. Some properties of the degeneracy in the energy levels, with respect to the orbital angular momentum l, are also discussed.
    Additional Material: 4 Ill.
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  • 100
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 1 (1967), S. 641-644 
    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 system (Li2H)- has been investigated ab initio for several nuclear positions, taking all eight electrons into account, using the Allgemeines Programmsystem/SCF—MO—LC(LCGO) Verfahren. A stable molecule was found for the linear symmetric configuration with a bond distance of RLiH = 3.41 a.u., and a total energy of -15.3874 a.u., which is about 0.0114 a.u. (0.311 eV, 7.61 kcal/mole) lower than the sum of the comparable SCF energies of the systems LiH and Li-. The force constant of the symmetric vibration was estimated to be k = 1.64722 × 106 dyn/cm and the frequency to be ω = 1998.9 cm-1. The results are discussed.
    Abstract: En tenant compte de tous les huit électrons on a fait des calculs pour le (Li2H)- pour une série de positions nucléaires. On trouve pour une configuration linéaire une molécule stable, de distance de liaison RLiH = 3,41 u.a. et d'énergie totale -15,3874 u.a. Cette énergi-ci est plus basse que la somme des énergies des systèmes LiH et Li- de 0,0114 u.a. (0,311 eV, 7,61 kcal/mole). La constante de force de vibrations symmétriques est 1,64722 × 106 dyn/cm, ce qui correspond à une fréquence ω = 1998,9 cm-1.
    Notes: Das System (Li2H)- wurde für eine Reihe von Kernlagen unter Berücksichtigung aller 8 Elektronen mit dem Allgemeinen Programmsystem/SCF—MO—LC(LCGO) Verfahren berechnet. Es ergab sich für die lineare symmetrische Anordnung ein stabiles Molekül mit dem Bindungsabstand RLiH = 3,41 a.E. und einer Gesamtenergie von -15,3874 a.E., die um 0,0114 a.E. (0,311 eV, 7,61 kcal/mol) tiefer liegt als die Summe der entsprechenden SCF-Energien der Systeme LiH und Li-. Die Kraftkonstante der symmetrischen Schwingung ergibt sich zu k = 1,64722 × 106 dyn/cm, aus der die Frequenz zu ω = 1998,9 cm-1 berechnet wurde. Die Ergebnisse werden diskutiert.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
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