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Note on an Approximation Treatment for Many-Electron Systems

Chr. Møller, +1 more
- 01 Oct 1934 - 
- Vol. 46, Iss: 7, pp 618-622
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TLDR
In this article, a perturbation theory for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation was developed, and it was shown by this development that the first order correction for the energy and the charge density of the system is zero.
Abstract
A perturbation theory is developed for treating a system of n electrons in which the Hartree-Fock solution appears as the zero-order approximation. It is shown by this development that the first order correction for the energy and the charge density of the system is zero. The expression for the second-order correction for the energy greatly simplifies because of the special property of the zero-order solution. It is pointed out that the development of the higher approximation involves only calculations based on a definite one-body problem.

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Journal ArticleDOI

On the hydrogen bond nature of the C–H⋯F interactions in molecular crystals. An exhaustive investigation combining a crystallographic database search and ab initio theoretical calculations

TL;DR: In this paper, the authors investigated the nature of C-H⋯F interactions in molecular crystals and found that when the two interacting fragments involved in the interaction are neutral, they behave as weak hydrogen bonds: they have an interaction energy around −0.4 kcal mol−1, dominated by the electrostatic and dispersion components.
Journal ArticleDOI

High precision atomic computations from finite element techniques: Second‐order correlation energies of rare gas atoms

TL;DR: The p-version finite element method for atomic computations as mentioned in this paper has been implemented within the frame of second-order Mo/ller-Plesset theory and used to calculate correlation energies of the rare-gas atoms from He to Rn.
Journal ArticleDOI

Preliminary results on the performance of a family of density functional methods

TL;DR: In this article, the performance of six density functional methods was examined for a set of 32 small neutral molecular systems and the Kohn-Sham orbitals were obtained using the 6−31G* basis set, without employing any auxiliary fitting procedures.
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Rotational spectra and structures of three hydrogen-bonded complexes between formic acid and water

TL;DR: In this paper, the rotational transitions of several hydrogen-bonded complexes between formic acid and water have been observed with a pulsed nozzle Fourier transform microwave spectrometer between 8 and 26 GHz.
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