DOI: 10.1063/1.432764. Self-consistent molecular orbital methods. XVI. Numerically stable direct energy minimization procedures for solution of Hartree

Self-consistent molecular orbital methods. XVI. Numerically stable direct energy minimization procedures for solution of Hartree–Fock equations

10.1063/1.432764

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Direct energy minimization methods are examined for solution of the Hartree–Fock equations in a basis expansion. Given a set of trial spin– orbitals, an initial direction for a univariate search of spin–orbital space is specified using general energy-weighted coordinates. The first energy minimum in such a search then provides an initial point for the next iterative step. Techniques are proposed for the maintenance of spin–orbital continuity during this process. Comparison of various energy-weighted coordinates indicates that most effective convergence is achieved if the search path is chosen to pass through the point corresponding to the classical procedure involving the construction of successive approximations to the Fock matrix. The utility of the new method is illustrated by the completion of a previous systematic study of Hartree–Fock energies for small organic species.

Bibliography

Seeger, R., & Pople, J. A. (1976). Self-consistent molecular orbital methods. XVI. Numerically stable direct energy minimization procedures for solution of HartreeâFock equations. The Journal of Chemical Physics, 65(1), 265â271.

Authors 2

Rolf Seeger (first)
John A. Pople (additional)

References 20 Referenced 75

10.1103/RevModPhys.23.69 / Rev. Mod. Phys. (1951)
10.1007/BF01036045 / Theor. Chim. Acta (1971)
{'key': '2024020914283528700_r3'}
{'key': '2024020914283528700_r4'}
10.1098/rspa.1956.0100 / Proc. R. Soc. London Ser. A (1956)
{'key': '2024020914283528700_r5a', 'first-page': '335', 'volume': '32', 'year': '1960', 'journal-title': 'Rev. Phys.'} / Rev. Phys. (1960)
10.1080/00268977000101001 / Mol. Phys. (1970)
10.1007/BF01184320 / Theor. Chim. Acta (1968)
10.1016/0009-2614(70)80271-8 / Chem. Phys. Lett. (1970)
10.1007/BF00551255 / Theor. Chim. Acta (1974)
10.1002/qua.560040505 / Int. J. Quantum Chem. (1970)
10.1098/rspa.1970.0203 / Proc. R. Soc. London Ser. A (1970)
10.1103/PhysRev.34.1293 / Phys. Rev. (1929)
10.1063/1.1740120 / J. Chem. Phys. (1954)
{'key': '2024020914283528700_r11'}
{'key': '2024020914283528700_r11a'}
10.1063/1.1672392 / J. Chem. Phys. (1969)
10.1021/ja00733a002 / J. Am. Chem. Soc. (1971)
{'key': '2024020914283528700_r14'}
10.1063/1.1674902 / J. Chem. Phys. (1971)

Dates

Type	When
Created	22 years, 6 months ago (Feb. 27, 2003, 4:11 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 10:16 a.m.)
Indexed	2 weeks, 3 days ago (Aug. 12, 2025, 5:51 p.m.)
Issued	49 years, 1 month ago (July 1, 1976)
Published	49 years, 1 month ago (July 1, 1976)
Published Print	49 years, 1 month ago (July 1, 1976)

Funders 0

None

BibTeX

@article{Seeger_1976, title={Self-consistent molecular orbital methods. XVI. Numerically stable direct energy minimization procedures for solution of Hartree–Fock equations}, volume={65}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.432764}, DOI={10.1063/1.432764}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Seeger, Rolf and Pople, John A.}, year={1976}, month=jul, pages={265–271} }

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