New recurrence relations for the rapid evaluation of electron repulsion integrals based on the accompanying coordinate expansion formula

Masato Kobayashi; Hiromi Nakai

doi:10.1063/1.1778712

New recurrence relations for the rapid evaluation of electron repulsion integrals based on the accompanying coordinate expansion formula

The Journal of Chemical Physics ◽

10.1063/1.1778712 ◽

2004 ◽

Vol 121 (9) ◽

pp. 4050-4058 ◽

Cited By ~ 11

Author(s):

Masato Kobayashi ◽

Hiromi Nakai

Keyword(s):

Recurrence Relations ◽

Rapid Evaluation ◽

Expansion Formula ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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Computation of molecular integrals over Slater-type orbitals. IV. Calculation of multicenter electron-repulsion integrals using recurrence relations for overlap integrals

Journal of Molecular Structure THEOCHEM ◽

10.1016/s0166-1280(99)00285-7 ◽

2000 ◽

Vol 503 (3) ◽

pp. 179-188 ◽

Cited By ~ 7

Author(s):

I.I. Guseinov ◽

B.A. Mamedov ◽

R. Aydin

Keyword(s):

Recurrence Relations ◽

Slater Type Orbitals ◽

Overlap Integrals ◽

Slater Type ◽

Electron Repulsion ◽

Molecular Integrals ◽

Electron Repulsion Integrals

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Recurrence relations for the evaluation of electron repulsion integrals over spherical Gaussian functions

International Journal of Quantum Chemistry ◽

10.1002/qua.560480407 ◽

1993 ◽

Vol 48 (4) ◽

pp. 257-265 ◽

Cited By ~ 10

Author(s):

Alessandro Fortunelli ◽

Oriano Salvetti

Keyword(s):

Recurrence Relations ◽

Gaussian Functions ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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Methods for rapid evaluation of electron repulsion integrals in large-scale LCGO calculations

Theoretical Chemistry Accounts ◽

10.1007/s002140050233 ◽

1997 ◽

Vol 97 (1-4) ◽

pp. 10-13 ◽

Cited By ~ 5

Author(s):

Jan Erik Almlöf

Keyword(s):

Large Scale ◽

Rapid Evaluation ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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New algorithm for the rapid evaluation of electron repulsion integrals: elementary basis algorithm

Chemical Physics Letters ◽

10.1016/j.cplett.2004.02.070 ◽

2004 ◽

Vol 388 (1-3) ◽

pp. 50-54 ◽

Cited By ~ 9

Author(s):

Hiromi Nakai ◽

Masato Kobayashi

Keyword(s):

Rapid Evaluation ◽

Electron Repulsion ◽

Electron Repulsion Integrals ◽

Elementary Basis

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Performance Evaluation of the Calculation Programs of Electron Repulsion Integrals

Journal of Computer Chemistry Japan ◽

10.2477/jccj.5.175 ◽

2006 ◽

Vol 5 (1) ◽

pp. 175-178

Author(s):

Yuichi INADOMI ◽

Shigeru OBARA ◽

Umpei NAGASHIMA

Keyword(s):

Performance Evaluation ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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Toward the Minimal Floating Operation Count Cholesky Decomposition of Electron Repulsion Integrals

The Journal of Physical Chemistry A ◽

10.1021/acs.jpca.1c02317 ◽

2021 ◽

Author(s):

Tianyuan Zhang ◽

Xiaolin Liu ◽

Edward F. Valeev ◽

Xiaosong Li

Keyword(s):

Cholesky Decomposition ◽

Electron Repulsion ◽

Operation Count ◽

Electron Repulsion Integrals

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Computation of electron repulsion integrals involving contracted Gaussian basis functions

Journal of Computational Physics ◽

10.1016/0021-9991(78)90001-3 ◽

1978 ◽

Vol 27 (2) ◽

pp. 161-168 ◽

Cited By ~ 146

Author(s):

John A Pople ◽

Warren J Hehre

Keyword(s):

Basis Functions ◽

Electron Repulsion ◽

Electron Repulsion Integrals ◽

Gaussian Basis Functions

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Numerical evaluation of electron repulsion integrals for pseudoatomic orbitals and their derivatives

The Journal of Chemical Physics ◽

10.1063/1.3082269 ◽

2009 ◽

Vol 130 (12) ◽

pp. 124114 ◽

Cited By ~ 11

Author(s):

Masayuki Toyoda ◽

Taisuke Ozaki

Keyword(s):

Numerical Evaluation ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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Improvements in Algorithms for Two Electron Repulsion Integrals Evaluation in Gaussian Type Basis Sets

10.1063/1.2836226 ◽

2007 ◽

Author(s):

Marcin Makowski ◽

Theodore E. Simos ◽

George Maroulis

Keyword(s):

Basis Sets ◽

Gaussian Type ◽

Electron Repulsion ◽

Electron Repulsion Integrals

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New algorithm for electron repulsion integrals oriented to the general contraction scheme

International Journal of Quantum Chemistry ◽

10.1002/(sici)1097-461x(2000)76:3<396::aid-qua8>3.0.co;2-a ◽

2000 ◽

Vol 76 (3) ◽

pp. 396-406 ◽

Cited By ~ 12

Author(s):

Takeshi Yanai ◽

Kazuhiro Ishida ◽

Haruyuki Nakano ◽

Kimihiko Hirao

Keyword(s):

Electron Repulsion ◽

General Contraction ◽

Contraction Scheme ◽

Electron Repulsion Integrals

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