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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

Effect of Basis Set Superposition Error on the Water Dimer Surface Calculated at Hartree-Fock, Møller-Plesset, and Density Functional Theory Levels

TL;DR: In this paper, the authors compared the performance of the DFT and counterpoise (CP) corrected optimizations of water dimer using the D95++(d,p) basis set at various levels of MP and DFT, and reported that the CP-corrected optimization provided the best interaction energy (−5.22 kcal/mol).
Journal ArticleDOI

Correction of the basis set superposition error in SCF and MP2 interaction energies. The water dimer

TL;DR: In this article, the interaction energy between a pair of water molecules was calculated using a series of moderate sized basis sets ranging from 6.31G** to the [432/21] contraction suggested by Clementi and Habitz.
Journal ArticleDOI

Development of transferable interaction models for water. I. Prominent features of the water dimer potential energy surface

TL;DR: In this article, the authors presented an analysis of the morphology of the water dimer potential energy surface (PES) obtained from ab initio electronic structure calculations and performed a quantitative comparison with the results from various water potentials.
Journal ArticleDOI

Ab initio and DFT benchmark study for nucleophilic substitution at carbon (SN2@C) and silicon (SN2@Si).

TL;DR: The performance for these reactions of four popular density functionals, namely, BP86, BLYP, B3LYP, and OlyP, in combination with a large doubly polarized Slater‐type basis set of triple‐ζ quality (TZ2P) is investigated, with best overall agreement with the CCSD(T)/aug‐cc‐pVQZ benchmark.
Journal ArticleDOI

Analysis of Charge Distributions: Hydrogen Fluoride

TL;DR: In this article, a series of single-determinant SCF-LCAO-MO wavefunctions were used to study the changes that occur in the electron density as the Hartree-Fock solution is approached.
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