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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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How Strong Is an Agostic Bond? Direct Assessment of Agostic Interactions Using the Generalized Compliance Matrix†

TL;DR: In this article, the strength of α-agostic bond in CH2TiHF has been evaluated using the generalized compliance matrix from HF (Hartree−Fock), MP2 (second-order Moller−Plesset perturbation), CCSD(T) (coupled clus...
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The VCI-P code: an iterative variation–perturbation scheme for efficient computations of anharmonic vibrational levels and IR intensities of polyatomic molecules

TL;DR: In this paper, a variation-perturbation scheme called VCI-P code is proposed for the efficient and accurate theoretical description of vibrational resonances in polyatomic molecules, which is used mainly for the optimization of configuration selection.
Journal ArticleDOI

Computational determination of aqueous pKa values of protonated benzimidazoles (part 1).

TL;DR: The predictive capabilities of the QSPR methodologies are tested with four compounds that were not included in the set of benzimidazoles initially investigated, and show stronger correlations than previously attempted methodologies.
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Consistent Theoretical Description of 1,3-Dipolar Cycloaddition Reactions

TL;DR: The cycloaddition reactions of 18 1,3-dipolar molecules to ethylene and acetylene have been reinvestigated by quantum chemical methods that are based on a second-order perturbation treatment of electron correlation and it is found that SCS-MP2 and the new perturbative B2-PLYP density functional provide accurate reaction barriers and outperform MP2 as well as standard density functionals such as B3-LYP.
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