DOI: 10.1002/qua.560110408. Molecular symmetry and closed‐shell <scp>SCF</scp> calculations. I

Molecular symmetry and closed‐shell SCF calculations. I

10.1002/qua.560110408

Crossref journal-article

Wiley

International Journal of Quantum Chemistry (311)

Abstract

AbstractFor efficient integral evaluation, orbital basis functions are grouped into shells and integrals into blocks in the recently developed SCF program Hondo. This shell structure is ideally suited to the scheme of Dacre and Elder for using point group symmetry. An entire block of two‐electron integrals is eliminated if it is symmetrically equivalent to another block with a higher index (four label). Using the “petite list” of blocks of integrals, a skeleton Fock matrix is formed from which the true Fock matrix is generated by “symmetrization.” We prove two theorems which provide a clear and rigorous justification for this version of the Dacre–Elder procedure. We compare SCF calculations on the phosphorus molecule using Td symmetry with those using various subgroups of Td. The number of integrals computed is found to be approximately inversely proportional to the order of the group. Integral evaluation time and SCF iteration time are each linear functions of the number of integrals. The computer spends a negligible amount of time in executing symmetry‐related code, and the human effort involved is little more than picking the appropriate Schönflies symbol for the molecule.

Bibliography

Dupuis, M., & King, H. F. (1977). Molecular symmetry and closedâshell SCF calculations. I. International Journal of Quantum Chemistry, 11(4), 613â625. Portico.

Authors 2

Michel Dupuis (first)
Harry F. King (additional)

References 10 Referenced 167

10.1103/RevModPhys.23.69
10.1016/0009-2614(73)85048-1
10.1063/1.1679625
10.1016/0009-2614(70)80244-5
10.1016/0009-2614(73)80475-0
10.1002/qua.560070109
D.Goutier R.Macaulay andA. J.Duke “Phantom ” Program No. 241 QCPE Indiana University Bloomington.
10.1063/1.432807
10.1016/0021-9991(76)90008-5
10.1063/1.1672392

Dates

Type	When
Created	20 years, 7 months ago (Dec. 27, 2004, 10:38 p.m.)
Deposited	1 year, 9 months ago (Nov. 12, 2023, 7:58 a.m.)
Indexed	11 months ago (Sept. 21, 2024, 7:50 a.m.)
Issued	48 years, 4 months ago (April 1, 1977)
Published	48 years, 4 months ago (April 1, 1977)
Published Online	20 years, 10 months ago (Oct. 19, 2004)
Published Print	48 years, 4 months ago (April 1, 1977)

Funders 0

None

BibTeX

@article{Dupuis_1977, title={Molecular symmetry and closed‐shell <scp>SCF</scp> calculations. I}, volume={11}, ISSN={1097-461X}, url={http://dx.doi.org/10.1002/qua.560110408}, DOI={10.1002/qua.560110408}, number={4}, journal={International Journal of Quantum Chemistry}, publisher={Wiley}, author={Dupuis, Michel and King, Harry F.}, year={1977}, month=apr, pages={613–625} }

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