Abstract
A new algorithm of two-electron repulsion integral (ERI) calculations has been developed. In this algorithm, Cartesian axes are rotated to make several coordinate components zero or constant using the Pople–Hehre algorithm, and ERIs are evaluated at the rotated coordinate by the McMurchie–Davidson algorithm. The new algorithm applicable to (ss|ss) to (dd|dd) ERIs is implemented in the quantum chemistry program GAMESS. Test calculations show that the new algorithm reduces the computational times by 10–40%, as compared with the Pople–Hehre and the Rys quadrature algorithms.
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References
Boys SF (1950). Proc R Soc Lond A 200: 542
Pople JA and Hehre WJ (1978). J Comput Phys 27: 161
King HF and Dupuis M (1976). J Comput Phys 21: 144
Dupuis M, Rys J and King HF (1976). J Chem Phys 65: 111
Rys J, Dupuis M and King HF (1983). J Comput Chem 4: 154
McMurchie LE and Davidson ER (1978). J Comput Phys 26: 218
Obara S and Saika A (1986). J Chem Phys 84: 3963
Head-Gordon M and Pople JA (1988). J Chem Phys 89: 5777
Gill PMW, Head-Gordon M and Pople JA (1990). J Phys Chem 94: 5564
Lindh R, Ryu U and Liu B (1991). J Chem Phys 95: 5889
Ishida K (1996). Int J Quantum Chem 59: 209
Ishida K (1998). J Comput Chem 19: 923
Gill PMW and Pople JA (1991). Int J Quantum Chem 40: 753
Schlegel HB (1982). J Chem Phys 77: 3676
Hamilton TP and Schaefer HF III (1991). Chem Phys 150: 163
Ten-no S (1993). Chem Phys Lett 211: 259
Kobayashi M and Nakai H (2004). J Chem Phys 121: 4050
Gill PMW, Johnson BG and Pople JA (1991). Int J Quantum Chem 40: 745
Schmidt MW, Baldridge KK, Boatz JA, Elbert ST, Gordon MS, Jensen JH, Koseki S, Matsunaga N, Nguyen KA, Su S, Windus TL, Dupuis M and Montgomery JA (1993). J Comput Chem 14: 1347
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Ishimura, K., Nagase, S. A new algorithm of two-electron repulsion integral calculations: a combination of Pople–Hehre and McMurchie–Davidson methods. Theor Chem Account 120, 185–189 (2008). https://doi.org/10.1007/s00214-007-0295-5
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DOI: https://doi.org/10.1007/s00214-007-0295-5