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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
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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Cooperativity in multiple unusual weak bonds

TL;DR: In this article, a review of the literature concerning cooperativity in multiple weak bonds is presented, including a summary of literature results and a theoretical study of a complete series of model complexes.
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On the Reliability of Pure and Hybrid DFT Methods for the Evaluation of Halogen, Chalcogen, and Pnicogen Bonds Involving Anionic and Neutral Electron Donors.

TL;DR: A comprehensive theoretical study of halogen, chalcogen, and pnicogen bonding interactions using a large set of pure and hybrid functionals and some ab initio methods finds that the pure and some hybrid functional largely overestimate the interaction energies when the donor atom is anionic or Br(-).
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Enhancing effect of dimethylamine in sulfuric acid nucleation in the presence of water – a computational study

TL;DR: In this article, the authors studied the hydration of sulfuric acid and dimethylamine-containing two-acid clusters using quantum chemistry, and showed that the addition of a dimethyl acid molecule to the clusters improves the hydrate distribution.
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Tensor hypercontraction density fitting. I. Quartic scaling second- and third-order Møller-Plesset perturbation theory.

TL;DR: This new approximation reduces the 4th-order ERI tensor to a product of five matrices, simultaneously reducing the storage requirement as well as increasing the flexibility to regroup terms and reduce scaling behavior.
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