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
Filter
  • 1980-1984  (4)
  • Atomic, Molecular and Optical Physics  (2)
  • General Chemistry  (2)
Material
Years
Year
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 18 (1980), S. 3-9 
    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: A hierarchy of necessary conditions that an exact density matrix of a pure state or an ensemble has to satisfy is derived, namely the hermiticity of certain operators F(k). For k = 1 this reduces to the well-known Hartree-Fock condition. It is then shown that the kth set of conditions is equivalent to stationarity of the energy with respect to unitary k-particle transformations. k-Particle generalizations of Hartree-Fock theory are then discussed both in the spirit of k-particle pseudoeigenvalue equations and in the framework of a Newton-Raphson-type constructive scheme.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 25 (1984), S. 107-129 
    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: The eigenstates of the matrix representation of the Dirac operator for c → ∞ do not approach their nonrelativistic counterparts in the same basis. This wrong “Schrödinger limit” is shown to be the main reason for the phenomenon known as “variational collapse.” After a short review of existing proposals to overcome the “variational collapse,” a systematic study of the possible ways to avoid it is given. All discussed approaches are analyzed in terms of various criteria that one wants to fulfill. The most promising approach consists of a free-particle Foldy-Wouthuysen (FW) transformation on operator level and a back transformation on matrix level (approaches C2 and C3). This implies a modification of the free-electron part of the matrix representation of the Dirac operator and leads to the correct Schrödinger limit (and if one wishes even the correct Pauli limit) in the same basis (and to the exact results for a complete basis). The potential energy is unchanged, which makes the application to n -electron systems straightforward. Projection of the Dirac operator to positive energy states does not remove the variational collapse unless this is done in a very special way.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 3
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für die chemische Industrie 96 (1984), S. 262-286 
    ISSN: 0044-8249
    Keywords: Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Viele qualitative Konzepte zur Beschreibung der chemischen Bindung, die aus der Frühzeit der Theoretischen Chemie stammen, sind zwar durch quantenchemische Rechnungen an Molekülen mit Atomen von Elementen der zweiten Periode (Li bis Ne) gestützt worden, lassen sich aber - entgegen einer weit verbreiteten Auffassung - nicht ohne weiteres auf Moleküle mit Atomen von Elementen der höheren Perioden verallgemeinern. Insbesondere ist der Begriff der Hybridisierung bei den Atomen aus höheren Perioden nur mit Vorsicht zu verwenden. Der wesentliche Unterschied zwischen den Atomen aus der zweiten und denen aus höheren Perioden besteht darin, daß bei den einen die Rümpfe nur s-AOs, bei den letztgenannten aber zumindest s- und p-AOs enthalten. Das hat zur Folge, daß die s- und p-Valenz-AOs der Atome aus der zweiten Periode ungefähr im gleichen räumlichen Bereich lokalisiert sind, während sich bei den Atomen aus den höheren Perioden die p-Valenz-AOs deutlich weiter außen befinden. Hierauf beruht die größere Bedeutung der „lone-pair-Abstoßung“ und der „isovalenten Hybridisierung“ sowie schließlich die Schwäche von Einfachbindungen und die Stärke von Mehrfachbindungen bei den leichten Hauptgruppenelementen. Die Valenzausweitung (Verletzung der Oktettregel) bei Verbindungen der höheren Hauptgruppenelemente hängt nur sehr wenig mit der Verfügbarkeit von d-AOs zusammen, mehr mit der Größe dieser Atome und somit der geringeren gegenseitigen sterischen Hinderung von Liganden, etwas auch mit der geringeren Elektronegativität der schweren Atome. Jedenfalls kommt das Modell von Elektronenüberschuß-Mehrzentrenbindungen der Realität näher als dasjenige von Hybriden unter d-AO-Beteiligung. Die XO-Bindungen in Phosphanoxiden, Sulfoxiden, Oxosäuren und verwandten Verbindungen werden besser semipolar als als echte Doppelbindungen formuliert, auch wenn viele Eigenschaften die andere Vorstellung nahelegen. - Das zunehmende Interesse der Theorie an den Verbindungen der höheren Hauptgruppenelemente fällt zeitlich zusammen mit neuen und zum Teil spektakulären experimentellen Forschungsergebnissen aus der Chemie dieser Elemente.
    Additional Material: 17 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 4
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Angewandte Chemie International Edition in English 23 (1984), S. 272-295 
    ISSN: 0570-0833
    Keywords: Bond theory ; Main group elements ; Chemistry ; General Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Many concepts used for a qualitative description of chemical bonding that originated in the early days of theoretical chemistry have been vindicated recently by quantum chemical calculations, at least as far as first row elements are concerned. However, many concepts that have been justified for first row elements (Li to Ne) cannot - contrary to widespread belief - be generalized to the higher main group elements. This applies particularly to the concept of hybridization, which should be viewed with considerable caution. The essential difference between the atoms of the first and higher rows is that the cores of the former contain only s-AOs, whereas the cores of the latter include at least s- and p-AOs. As a consequence, the s and p valence AOs of first row atoms are localized in roughly the same region of space, while the p valence AOs of higher row atoms are much more extended in space. This has the consequence that for the light main group elements both lone-pair repulsion and isovalent hybridization play a greater role than for the heavy main group elements. Furthermore, this implies that single bonds between first row elements are weak and multiple bonds are strong, whereas for the second or higher row elements single bonds are strong and multiple bonds weak. The “extended valence” (violation of the octet rule) observed in compounds of higher main group elements has very little to do with the availability of d-AOs but is due rather to the size of these atoms and thus to the reduced steric hindrance between ligands and, to a lesser extent, also to the lower electronegativity of the heavy atoms. A model based on the concept of electron-rich multicenter bonds is certainly closer to reality than one involving hybrids with the participation of d-AOs. The XO bonds in phosphane oxides, sulfoxides, oxo acids and related compounds are better formulated as semipolar rather than as true double bonds, even if they behave in some respects like double bonds. - The growing interest of theorists in compounds of higher main group elements parallels new and, in some instances, spectacular results of experimental research on the chemistry of these elements.
    Additional Material: 17 Ill.
    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...