Library

feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 74 (1988), S. 323-330 
    ISSN: 1432-2234
    Keywords: Interpretation of quantum mechanics ; Quantum operators
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The complete symmetrization with respect to x, p x,... of the operators associated with dynamical properties can sometimes lead to results different from those obtained by the conventional quantum formalism based on the rule op (A 2)=(op A)2. For example, angular momentum operators M z 2 and M 2 are modified by the additive constants ħ 2/2 and 3ħ 2/2 respectively (M 2≠0 for electron in the ground state of H atom, rotator never at rest, but spectra unchanged); the average quadratic dispersion of energy is different from zero. These results can be interpreted by assuming that the system is never strictly isolated but communicates with the other systems of the universe by means of electromagnetic interactions. Quantum mechanics would give only average values over a sufficiently long time and would exhibit a quasi-ergodic character. Examples supporting this possibility are given, in particular that of arsines for which quantum forecasts correspond to average values over one year.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 12 (1985), S. 307-310 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract According to Koopmans' theorem, only the electrons associated with molecular levels of negative energy are stable. Many ions which cannot exist in the isolated state because certain occupied levels are positive, become stable in crystals under the stabilization effect arising from the crystal field. As examples, we have studied CO 3 2− in calcite, NO 3 − in NaNO3, and several natural limpurities: O 3 − in fluorite, [(OH)4]4−, [(OH)3F]4− and [(OH)2F2]4− in zircon and thorite, by means of the molecular self-consistent field, the crystal field being simulated by point charges. As expected, all the energies corresponding to the occupied levels are negative within the crystal field, contrary to what occurs in the isolated state. Informations concerning the structure and the size of the critical germ are obtained for CaCO3 and NaNO3.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 7 (1967), S. 103-109 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract The results obtained in the two last papers are used to study the reduction of core integrals such as (A+,ab). A weak but sensible difference with the reduction factor for coulomb-integrals appears when A and B atoms are of different kind. These conclusions have been used to study the pyrrole and formamid molecules.
    Abstract: Zusammenfassung Die in den beiden früheren Arbeiten erhaltenen Ergebnisse werden zur Reduktion der Rumpfintegrale (A+,ab) benützt. Es tritt eine schwache, aber bestimmbare Differenz gegenüber dem Reduktionsfaktor der Coulombintegrale auf, wenn A und B verschiedenartige Atome sind. Mit den erhaltenen Ergebnissen werden Pyrrol und Formamid behandelt.
    Notes: Résumé Les résultats obtenus dans les deux premiers articles précédents sont utilisés pour l'étude de la réduction des intégrales de coeur du type (A+,ab). Une différence faible mais sensible avec le facteur de réduction des coulombiennes apparait lorsque les atomes A et B sont de nature différente. Ces conclusions ont été appliquées à l'étude des molécules de pyrrole et de formamide.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 6 (1966), S. 26-35 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract The energy W p of one 2p electron in an atomic core of a given element varying the effective atomic charge Z is shown, by a theoretic analysis of atomic spectral data, to be essentially proportional to Slater's effective charge Z and not parabolic as it is generaly accepted by analogy with Glockler's law in isoelectronic series. A direct justification is proposed. The modification of the calculation of W does practically not change the numeric results for the molecule's caracteristics. The reduction factors for the integrals $$\left( {\frac{1}{{r_a }},{\text{ }}b^2 } \right)$$ and (A+, b2) are evaluated and related to the reduction factor for Coulomb integral. The reduction facteur of (A+, b2) is equal to the reduction factor of Coulomb integrals, when the exchange is neglected.
    Abstract: Zusammenfassung Die theoretische Analyse spektroskopischer atomarer Daten zeigt, daß die W p -Energie eines 2p-Elektrons in einem gegebenen atomaren Rumpf proportional zur effektiven atomaren Ladung Z ist und nicht parabolisch wie es im allgemeinen in Analogie zu Glocklers Gesetz für isoelektronische Reihen angenommen wird. Eine direkte Rechtfertigung wird vorgeschlagen. Die Abänderung der W-Berechnung bringt praktisch keine Veränderung für die numerischen Werte der Molekülcharakteristiken. Der ßeduktionsfaktor der $$\left( {\frac{1}{{r_a }},{\text{ }}b^2 } \right)$$ und (A+, b2)-Integrale ist in Beziehung zum Coulombintegralreduktionsfaktor berechnet. Der Reduktionsfaktor der (A+, 62)-Integrale ist gleich dem der Coulombintegrale, wenn der Austausch vernachlässigt wird.
    Notes: Résumé L'analyse théorique de données spectroscopiques atomiques montre que l'énergie W p d'un électron 2p dans un coeur atomique donné varie proportionnellement avec la charge effective Z de l'orbitale et non paraboliquement comme on l'admet généralement par analogie avec la loi de Glockler relative à des séries isoélectroniques. Une justification directe est donnée. La modification du calcul des W n'apporte pratiquement aucun changement pour les valeurs numériques des caractéristiques des molécules. Le facteur de réduction des intégrales $$\left( {\frac{1}{{r_a }},{\text{ }}b^2 } \right)$$ et (A+, b2) est évalué en fonction du facteur de réduction des intégrales coulombiennes. Le facteur de réduction de l'intégrale (A+, b2) est égal à celui des coulombiennes quand on néglige l'échange.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 15
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Les différentes structures du pentalène, de l'heptalène et de l'azulène sont étudiées par la méthode L.C.A.O. améliorée. Les résultats relatifs aux chargesπ, aux énergies,π etσ, aux aromaticités, aux potentiels d'ionisation et aux énergies de transition conduisent à préférer les structuresC 2h aux structuresD 2h pour les molécules de pentalène et d'heptalène et la structureC 2v à la structureC s pour la molécule d'azulène.
    Abstract: Résumé Die verschiedenen Strukturen der Pentalen-, Heptalen- and Azulenmolekeln werden mit Hilfe der verbesserten LCAO-Methode untersucht. Die für dieπ- undσ-Energien, Aromatizität, Ionizations-und Übergangsenergien erhaltenen Ergebnisse zeigen, daß für Heptalen und Pentalen dieC 2h -Struktur in besserer Übereinstimmung mit dem Experiment ist als dieD 2h -Struktur. Dagegen stimmt für Azulen dieC 2v -Struktur besser als dieC s Struktur mit dem Experiment überein.
    Notes: Abstract The different structures of pentalene, heptalene and azulene are studied using the improved LCAO method. The results we got for theπ-electron densities,π andσ energies, aromaticity, ionisation potentials and transitions energies show that, for pentalene and heptalene theC 2h structure is better than theD 2h one and for azulene it is theC 2v structure who is better than theC s one.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 17 (1970), S. 301-308 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Résumé Les caractéristiques électroniques (énergie, charges π, géométrie, moment dipolaire, énergie de transition) des quatre formes tautomères de la purine et des phényl-8 N(1)H et N(3)H purines ont été déterminées par la méthode LCAO améliorée. La forme 9 est trouvée la plus stable à l'état isolé. Une interprétation nouvelle des bandes d'absorption π→π′ est proposée.
    Abstract: Zusammenfassung Die elektronischen Charakteristiken (Energie, Ladung π, Geometrie, Dipolmoment, Übergangsenergie) der vier Tautomerformen des Purins und der Phenyl-8 N(1)H und N(3)H Purine sind durch die verbesserte LCAO-Methode bestimmt worden. Die Form 9 ist, zum isolierten Stand, als am meisten beständig zu betrachten. Eine neue Erklärung der Absorptionsbänder π→π′ ist vorgeschlagen.
    Notes: Abstract The electronic characteristics (energy, charge π, geometry, dipole moment, transition energy) of the four tautomeric forms of the purine and of the phenyl-8 N(1)H and N(3)H purines have been determined by the improved LCAO method. The form 9 is considered as the most stable at the isolated state. A new interpretation of the absorption bands π→π′ is proposed.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 22 (1971), S. 353-360 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Résumé Deux formules générales entre l'indice de liaisonl et la distance interatomiqued (Å) sont proposées: 1. entre atomes des lignesn=2 et 3, hybrides ensp 2: $$d_{PQ} = \left[ {0,731 + 0,3181\left( {n_P + n_Q } \right) - 0,1477\left( {\zeta _P + \zeta _Q } \right)} \right] - 0,020 + 0,0523\left( {\zeta _P + \zeta _Q } \right)l_{PQ} $$ (ζ=Z/n, Z=charge effective de Slater de l'orbitale π). 2. entre atomes de la lignen=2, hybridés en sp: $$d_{PQ} = \left[ {1,904 - 0,123\left( {\zeta _P + \zeta _Q } \right)} \right] - \left[ {0,075 + 0,023\left( {\zeta _P + \zeta _Q } \right)} \right]l_{PQ} $$ (l=indice totalπ+π′).
    Abstract: Zusammenfassung Zwei allgemeine Beziehungen zwischen Bindungsindexl und Bindungsabstandd (Å) werden vorgeschlagen: 1. zwischensp 2-hybridisierten Atomen der zweiten und dritten Reihen (n=2, 3): $$d_{PQ} = \left[ {0,731 + 0,3181\left( {n_P + n_Q } \right) - 0,1477\left( {\zeta _P + \zeta _Q } \right)} \right] - 0,020 + 0,0523\left( {\zeta _P + \zeta _Q } \right)l_{PQ} $$ (ζ=Z/n, Z=Slater's effective Kernladung der π-Orbitale). 2. zwischensp-hybridisierten Atomen der zweiten Reihe: $$d_{PQ} = \left[ {1,904 - 0,123\left( {\zeta _P + \zeta _Q } \right)} \right] - \left[ {0,075 + 0,023\left( {\zeta _P + \zeta _Q } \right)} \right]l_{PQ} $$ (l=Gesamt-π+π′-Bindungsindex).
    Notes: Abstract Two general relation between bond orderl and bond distance d (Å) are proposed: 1. between atomssp 2-hybridised of second and third row: $$d_{PQ} = \left[ {0,731 + 0,3181\left( {n_P + n_Q } \right) - 0,1477\left( {\zeta _P + \zeta _Q } \right)} \right] - 0,020 + 0,0523\left( {\zeta _P + \zeta _Q } \right)l_{PQ} $$ ,ζ=Z/n,Z=Slater's effective nuclear charge of theπ-orbital). 2. between atomssp-hybridised of the second row: $$d_{PQ} = \left[ {1,904 - 0,123\left( {\zeta _P + \zeta _Q } \right)} \right] - \left[ {0,075 + 0,023\left( {\zeta _P + \zeta _Q } \right)} \right]l_{PQ} $$ (l=total bond orderπ+π′).
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 18
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Fulven, Azulen, zwei Hafnersche Kohlenwasserstoffe und Pleiadien werden mit Hilfe der verbesserten L.C.A.O.-Methode untersucht. Durch aufeinander folgende Versuche werden die π-Ladungen mit den effektiven atomaren Ladungen in Übereinstimmung gefunden, ebenso die benützten Bindungsabstände mit den durch Bindungsindex berechneten Abständen. Die berechneten Übergangsenergie stimmen mit dem Experiment ausgezeichnet überein. Die verschiedenen Versuche zeigen, daß eine gute Kohärenz für die Ladungen und die Abstände nötig ist. Eine neue Definition für die Aromatizität ist vorgeschlagen.
    Abstract: Abstract Molecules of Fulvene, Azulene, two Hafner's hydrocarbones and Pleiadiene are studied using the improved L.C.A.O. theory. Through successive trials, the π-electronic charges are coherent with the effective atomic charges and the interatomic distances with these obtained from bond order. The transition energies are in good agreement with the experiment. The various trials show that it is necessary to obtain a good coherence for charges and bond lengths. A new definition of Aromaticity is proposed.
    Notes: Résumé Le fulvène, l'azulène, deux hydrocarbures d'Hafner et le pléiadiène sont étudiés par la méthode L.C.A.O. améliorée. Par essais successifs les charges électroniques π sont en accord avec les charges effectives des orbitales atomiques et les distances interatomiques avec celles déduites des indices de liaison. Les énergies de transition sont en excellent accord avec l'expérience. Les divers essais effectués montrent la nécessité d'obtenir une bonne cohérence pour les charges et les distances. Une nouvelle définition de l'aromaticité est proposée.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 19
    ISSN: 1572-9001
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The adsorption ofl- andd-alanine on kaolinite is studied by means of the self-consistent field method, the field created by the crystal being simulated by that of 230 point charges, corresponding to two layers. The absolute structure we have adopted for kaolinite is that for whichthe ( $$\overrightarrow a , \overrightarrow b , \overrightarrow c $$ ) trihedron is direct. Indeed, it has been shown that, owing to the nuclear weak interactions, this structure is more stable than the inverse structure. On the adopted structure, the l forms of the positive ion and of the zwitterion are more easily adsorbed than the d forms. The difference between the adsorption energies of thel andd forms are 0.14 and 0.04 kJ mol−1 for the positive ion and the zwitterion, respectively. These differences are considerably larger than those arising from the weak interactions (ca. 10−17 kJ mol−1) so that the asymmetrical adsorption on kaolinite seems to be one of the causes of thel homochirality observed for the amino acids of proteins.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 20
    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
    Notes: Un procédé de minimisation directe de l'énergie d'une molécule par rapport aux coefficients des orbitales atomiques des fonctions moléculaires est utilisé en vue de déterminer les fonctions de l'état fondamental et des états excités. L'orthogonalité entre les divers états est obtenue par des conditions moins restrictives que celles de Roothaan, si bien que l'énergie obtenue pour la première transition électronique est abaissée: de 0,1 à 0,2 eV pour les transitions π → π* des polyènes.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...