Abstract
We present an efficient algorithm for the evaluation of short-range Hartree-Fock exchange energies and geometry gradients in Gaussian basis sets. Our method uses a hierarchy of screening levels to eliminate negligible two-electron integrals whose evaluation is the fundamental computational bottleneck of the procedure. By applying our screening technique to the Heyd-Scuseria-Ernzerhof [J. Chem. Phys. 118, 8207 (2003)] short-range Coulomb hybrid density functional, we achieve a computational efficiency comparable with that of standard nonhybrid density functional calculations.
References
36
Referenced
205
10.1126/science.271.5245.51
/ Science (1996)10.1016/0009-2614(94)01128-1
/ Chem. Phys. Lett. (1994)10.1016/0009-2614(95)00665-Q
/ Chem. Phys. Lett. (1995)10.1016/0009-2614(96)00600-8
/ Chem. Phys. Lett. (1996)10.1016/0009-2614(96)00175-3
/ Chem. Phys. Lett. (1996)10.1021/jp990629s
/ J. Phys. Chem. A (1999)10.1103/PhysRevB.61.16440
/ Phys. Rev. B (2000)10.1063/1.464304
/ J. Chem. Phys. (1993)10.1002/qua.560560407
/ Int. J. Quantum Chem. (1995)10.1063/1.472627
/ J. Chem. Phys. (1996)10.1063/1.472135
/ J. Chem. Phys. (1996)10.1063/1.473833
/ J. Chem. Phys. (1997)10.1063/1.479926
/ J. Chem. Phys. (1999)10.1063/1.1869470
/ J. Chem. Phys. (2005)10.1002/qua.560380304
/ Int. J. Quantum Chem. (1990)10.1007/978-3-642-93385-1
/ Hartree-Fock ab Initio Treatment of Crystalline Systems by Pisani (1988){'volume-title': 'Elementary Excitations in Solids', 'year': '1999', 'key': '2023062607000862700_c17'}
/ Elementary Excitations in Solids (1999)10.1002/(SICI)1096-987X(19990715)20:9<921::AID-JCC3>3.0.CO;2-K
/ J. Comput. Chem. (1999)10.1080/00268979650026037
/ Mol. Phys. (1996){'first-page': '327', 'volume-title': 'Recent Developments and Applications of Modern Density Functional Theory', 'year': '1996', 'key': '2023062607000862700_c20'}
/ Recent Developments and Applications of Modern Density Functional Theory (1996)10.1063/1.1383587
/ J. Chem. Phys. (2001)10.1063/1.1564060
/ J. Chem. Phys. (2003)10.1103/PhysRevLett.77.3865
/ Phys. Rev. Lett. (1996)10.1063/1.472933
/ J. Chem. Phys. (1996)10.1002/jcc.540100111
/ J. Comput. Chem. (1989)10.1063/1.468836
/ J. Chem. Phys. (1995)10.1063/1.479513
/ J. Chem. Phys. (1999)10.1063/1.2079967
/ J. Chem. Phys. (2005){'edition': '1st ed.', 'volume-title': 'Molecular Electronic-Structure Theory', 'year': '2000', 'key': '2023062607000862700_c29'}
/ Molecular Electronic-Structure Theory (2000)10.1016/S0009-2614(97)01329-8
/ Chem. Phys. Lett. (1998)10.1016/S0009-2614(98)00468-0
/ Chem. Phys. Lett. (1998){'year': '2004', 'key': '2023062607000862700_c32'}
(2004)10.1002/qua.560400604
/ Int. J. Quantum Chem. (1991)- See EPAPS Document No. E-JCPSA6-125-308635 for basis and geometry information and detailed tables with error assessment for the different screening schemes. This document can be reached via a direct link in the online article’s HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).
10.1139/p80-159
/ Can. J. Phys. (1980)10.1103/PhysRevLett.91.146401
/ Phys. Rev. Lett. (2003)
Dates
Type | When |
---|---|
Created | 18 years, 11 months ago (Sept. 8, 2006, 7:03 p.m.) |
Deposited | 2 years, 2 months ago (June 26, 2023, 3:32 a.m.) |
Indexed | 1 month ago (July 30, 2025, 6:46 a.m.) |
Issued | 18 years, 11 months ago (Sept. 8, 2006) |
Published | 18 years, 11 months ago (Sept. 8, 2006) |
Published Online | 18 years, 11 months ago (Sept. 8, 2006) |
Published Print | 18 years, 11 months ago (Sept. 14, 2006) |
@article{Izmaylov_2006, title={Efficient evaluation of short-range Hartree-Fock exchange in large molecules and periodic systems}, volume={125}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2347713}, DOI={10.1063/1.2347713}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Izmaylov, Artur F. and Scuseria, Gustavo E. and Frisch, Michael J.}, year={2006}, month=sep }