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21.
Various levels of approximation (Hartree-Fock, configuration interaction and double-configuration Hartree-Fock method) are compared for extensive and limited exponent optimization of the atomic orbitals of the wavefunctions. The potential energy curves for the lowest-lying 1
u, 3
u, 1
g, 3
g states of the hydrogen molecule are presented. The shapes of the curves on the highest level of approximation, i.e. with the optimal double-configuration wavefunction, are basically in agreement with previous, more sophisticated and time-consuming work. The influence of the various approximations is also studied for several one-electron properties: charge distribution of the wavefunction along and perpendicular to the molecular axis, quadrupole moment and core attraction energy distribution. Differences arise to the work of Zemke et al. [1], who used a limited exponent optimization with a larger basis set, in the
g states where the orbitals are very diffuse. The differences concern magnitude and location of minima and maxima of potential curves, as well as considerable changes in one-electron properties which depend strongly on the spatial distribution of the orbitals.
On leave to: Institut für Theoretische Chemie, Universität Stuttgart.
On leave to: Office of Computing Activities, National Science Foundation, Washington, D.C. 相似文献
Zusammenfassung Verschiedene Approximationsstufen (Hartree-Fock, Konfigurationenwechselwirkung und Doppelkonfigurationen-Hartree-Fock-Methode) werden für ausgedehnte und begrenzte Exponentenoptimisierung von Atomorbitalen der Wellenfunktionen verglichen. Die Potentialkurven für die niedrigsten 1 u, 3 u, 1 g, 3 g Zustände des Wasserstoffmoleküls werden angegeben. Die Form der Kurven im Rahmen der besten Näherung, d. h. mit Doppelkonfiguration, stimmen im wesentlichen mit früheren aufwendigeren Rechnungen überein. Der Einfluß der verschiedenen Approximationen wird auch an einigen Einelektroneneigenschaften studiert: Ladungsverteilung der Wellenfunktion längs und senkrecht zur Molekülachse, Quadrupolmoment und Verteilung der Rumpfenergie. Unterschiede erscheinen zur Arbeit von Zemke et al. [1], die einen größeren Basissatz mit begrenzter Optimisierung verwandten, bei den g Zuständen, wo die -Orbitale sehr diffus sind. Die Unterschiede betreffen Größe und Lage der Minima und Maxima der Potentialkurven sowie beträchtliche Änderungen in solchen Einelektroneneigenschaften, die stark von der räumlichen Verteilung der Orbitale abhängen.
Résumé Comparaison de différents niveaux d'approximation (Hartree-Fock, interaction de configuration et Hartree-Fock à deux configurations) pour des optimisations étendues et limitées des orbitales atomiques de base. Calcul des courbes d'énergie potentielle pour les plus bas états 1 u, 3 u, 1 g, 3 g de la molécule d'hydrogène. Pour la fonction d'onde la plus raffinée: H.F. à deux configurations, la forme des courbes est en accord avec les résultats obtenus dans des travaux précédents plus complexes et plus coûteux. On étudie aussi l'influence des diverses approximations sur plusieurs propriétés monoélectroniques: distribution de charge le long de l'axe moléculaire et perpendiculairement à celui-ci, moment quadrupolaire et distribution de l'énergie d'attraction de coeur. On trouve des différences avec le travail de Zemke et al. (1), qui utilisent une plus grande base partiellement optimisée, pour les états g où les orbitales sont très diffuses. Les différences concernent la grandeur et la position des extrema des courbes de potentiel, ainsi que des variations importantes des propriétés monoélectroniques qui dépendent fortement de la distribution spatiale des orbitales.
On leave to: Institut für Theoretische Chemie, Universität Stuttgart.
On leave to: Office of Computing Activities, National Science Foundation, Washington, D.C. 相似文献
22.
We use the nonlocal linear hydrodynamic constitutive model, proposed by Evans and Morriss [Statistical Mechanics of Nonequilibrium Liquids (Academic, London, 1990)], for computing an effective spatially dependent shear viscosity of inhomogeneous nonequilibrium fluids. The model is applied to a simple atomic fluid undergoing planar Poiseuille flow in a confined channel of several atomic diameters width. We compare the spatially dependent viscosity with a local generalization of Newton's law of viscosity and the Navier-Stokes viscosity, both of which are known to suffer extreme inaccuracies for highly inhomogeneous systems. The nonlocal constitutive model calculates effective position dependent viscosities that are free from the notorious singularities experienced by applying the commonly used local constitutive model. It is simple, general, and has widespread applicability in nanofluidics where experimental measurement of position dependent transport coefficients is currently inaccessible. In principle the method can be used to predict approximate flow profiles of any arbitrary inhomogeneous system. We demonstrate this by predicting the flow profile for a simple fluid undergoing planar Couette flow in a confined channel of several atomic diameters width. 相似文献
23.
The enantiomers of the 2,3-dihydrobilatriene-abc1 have been separated by recycling chromatography on triacetylcellulose. Comparison of their chiroptical properties with those of amino acid substituted analogues, like3, reveals the chirality of center 3 to be of minor influence on the values. Stabilization of a definite helical conformation of these pigments seems to depend on this influence together with an appropriate dipole-dipole interaction. 相似文献
24.
A simple preparation of the chloronitrosylcarbonylmolybdenum(0) complexes Mo(NO)(CO)4(AlCl4) and MoCl(NO)(CO)2(PPh3)2 is described. The homogeneous system MoCl(NO)(CO)2(PPh3)2/RAlCl2 (R = Et, Me) represents a new highly active long-living catalyst for the metathesis of 2-pentene. 相似文献
25.
Hans Beat Bürgi Hermann Gehrer Peter Strickler Fritz Karl Winkler 《Helvetica chimica acta》1976,59(7):2558-2565
Crystals of the title compound are triclinic, a = 27.87 Å, b = 10.77 Å, c = 12.94 Å, α 73.1°, β 116.1°, γ 120.0°, space group P1 . The structure consists of octanuclear ions: Eight Cd(II) ions are found at the corners of a distorted cube, the center of the cube is occupied by an iodide, the twelve thioglycolate sulfur atoms bridge the twelve edges of the cube thereby forming a distorted icosahedron. Cadmium ions are either five or seven coordinate. The phase problem for this structure was solved using a combination of very high and very low E-values. 相似文献
26.
Zusammenfassung Zur Bestimmung von Coffein in Erfrischungsgetränken (Cola), Kaffee und Tee wird die Differential-Pulsvoltammetrie verwendet. Bei dieser Methode wird Coffein bei pH 1,2 an einer glasartigen Kohlenstoffelektrode oxydiert und quantitativ bestimmt. Die voltammetrisch ermittelten Analysenergebnisse werden mit den Resultaten der Flüssigkeistchromatographie verglichen. Um einen weiteren Einblick in den Reaktionsverlauf zu erhalten, wurde Coffein anodisch bei pH 1,2, 2,3 und pH 6 oxydiert. Die Reaktionsprodukte wurden kathodisch durch Differential-Pulspolarographie identifiziert.
Voltammetric determination of caffeine in coffee, tea, and soft drinks
Summary Differential pulse voltammetry is used for the determination of caffeine in soft drinks, coffee, and tea. In this method caffeine is oxidised at a glassy carbon electrode at pH 1.2 and determined quantitatively. The voltammetric results are compared with those found by HPLC. To elucidate the mechanism of the electrode processes the reaction products were produced by anodic oxidation of caffeine at pH 1.2, 2.3 und pH 6 and then identified by cathodic differential pulse polarography.相似文献
27.
A simple and inexpensive equipment for the optical resolution of enantiomers (and separation of diastereomers) on triacetylcellulose in ethanol at elevated pressure is described. It involves a closed circuit of solvent (pump—column—detector—pump) allowing a continuous chromatography up to 16 cycles without stopping the flow or handling fractions.This useful and versatile method permitting also the determination of enantiomeric purities is illustrated by several examples of centro-, axial- and planarchiral arenes and metallocenes.Herrn Prof. Dr.U. Schmidt, Stuttgart, zum 60. Geburtstag gewidmet. 相似文献
28.
Zusammenfassung Die Stammsubstanzen des Lignins gehören der Gruppe der p-Hydroxyzimtalkohole an. Sie werden durch wäßrige Mineralsäure polymerisiert. Um das Wesen dieser Reaktion kennenzulernen, wurde der Zimtalkohol selbst in verdünnter wäßriger Lösung der Wirkung von Säure ausgesetzt. Er bildet ein Dimeres der Konstitution VIII, die durch Abbau und Synthese bewiesen wurde. Es ist anzynehmen, daß die Polymerisation der p-Hydroxyzimtalkohole nacl, einem Schema verläuft, von dem die Dimerisation des Zimtalkohols die erste Stufe ist.Institut für die Chemie dei Holzes und der PolysaccharideKollegenA. Wacek in alter Freundschaft zum 60. Geburtstag gewidmet.K. Freudenberg. 相似文献
29.
Karl F. Freed 《Chemical physics》1974,4(1):80-95
Open shell generalized perturbation theory (GPT) is a systematic scheme for the improvement of a multi-configurational zeroth order wavefunction that can be chosen so the lowest order corresponds to a sum-of-the-pairs- type theory of electron correlation (with or without pair-pair couplings) in the spirit of the theories of Kelly, Sinano?lu, and Nesbet for the single configurational case. Applications axe presented to the generalized perturbative solution for individual states and for the simultaneous solution for many nondegenerate states. The (2n+ 1)-rule of GPT and the interchange theorems of double Girl' are illustrated. A brief discussion is included concerning the use of GPT in ab initio evaluations of the true parameters that are customarily, only modeled and then fit to experiment in semi-empirical theories of molecular electronic structure. The conceptual value of expressing the results of ab initio calculations in terms of effective hamiltonians is stressed and the relationship between open shell GPT and other theories of electron correlation is also considered. 相似文献
30.
Karl Jug 《International journal of quantum chemistry》1990,38(2):129-138
The polymerization mechanism of tetramethylenes was reinvestigated under inclusion of solvent effects. The approach of a methanol molecule to a borderline diradical, a typical diradical, and a typical zwitterion was studied by a valence, charge, and dipole moment analysis of SINDO 1 calculations. Whereas the solvent molecule has no effect on the character of the zwitterion, the borderline diradical was found to switch to a zwitterion at the approach of the methanol molecule if the distance between the donor carbon and the methanol oxygen is below 2 Å. A similar switch of character was observed for the typical diradical at CO distances below 1.5 Å. From energy considerations it is concluded that borderline diradicals can follow a zwitterionic polymerization mechanism in polar solvents, whereas typical diradicals are much less likely to do so. 相似文献