Abstract
Rigorous electronic structure calculations including correlation at all common levels of theory are feasible for large delocalized systems that are locally perturbed using the generic local space approximation (LSA). The basic ideas involved in the LSA are reviewed in the context of a single determinant Hartree-Fock or Kohn-Sham treatment. It is, then, shown how this treatment can be extended so as to explicitly incorporate local many-body interactions. For a problem such as a catalytic reaction on a metal surface the translational symmetry of the bare metal can be readily exploited. Several ‘proof of the method’ studies are discussed which demonstrate that accuracy improves monotonically as the size of the local region is increased and that the initial rate of convergence is rapid.
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References
Matos M, Kirtman B, DeMelo CP (1988) J Chem Phys 88:1019
McWeeny R (1960) Rev Mod Phys 32:335
Li XP, Nunes RW, Vanderbilt D (1993) Phys Rev B 47:10891
Daw MS (1993) Phys Rev B 47:10895
Ochsenfeld C, Head-Gordon M (1997) Chem Phys Lett 270:399
Kirtman B, Dykstra CE (1986) J Chem Phys 85:2791
Kirtman B, DeMelo CP (1986) Int J Quantum Chem 29:1209
Kirtman B, DeMelo CP (1981) J Chem Phys 75:4592
Kirtman B (1982) J Chem Phys 86:1059
Dykstra CE, Kirtman B (1990) Annu Rev Phys Chem 41:155
Robins KA, Kirtman B (1993) J Chem Phys 99:6777
Friesner R (1985) Chem Phys Lett 116:39
Ringnalda MN, Belhadj M, Friesner RA (1990) J Chem Phys 93:3397
Feyereisen MW, Fitzgerald G, Korminicki A (1993) Chem Phys Lett 208:359
Vahtras O, Almlof J, Feyereisen MW (1993) Chem Phys Lett 213:514
Bernholdt DM, Harrison RJ (1996) Chem Phys Lett 250:477
Kirtman B, Sekino H (1996) Chem Phys Lett 263:313
Sambe H, Felton RH (1973) J Chem Phys 62:1122
Kirtman B (1995) Int J Quantum Chem 55:103
Foster JP, Weinhold F (1980) J Am Chem Soc 102:7211
Roby KR (1974) Mol Phys 28:1441
Meyer W (1976) J Chem Phys 64:2901
Ahlrichs R (1979) Comp Phys Commun 17:31
Dykstra CE, Schaefer HF, Meyer W (1976) J Chem Phys 65:2740
Dykstra CE, Chiles RA, Garrett MD (1981) J Comput Chem 2:266
Jasien PG, Dykstra CE (1982) J Chem Phys 76:4564
Chiles RA, Dykstra CE (1981) J Chem Phys 74:4544
Pulay P (1983) Chem Phys Lett 100:151
Saebo S, Pulay P (1985) Chem Phys Lett 113:13
Pulay P, Saebo S (1986) Theor Chim Acta 69:357
Saebo S, Pulay P (1987) J Chem Phys 86:914
Saebo S, Pulay P (1988) J Chem Phys 88:1884
Saebo S (1990) Int J Quantum Chem 38:641
Saebo S (1992) Int J Quantum Chem 42:217
Saebo S, Pulay P (1993) Annu Rev Phys Chem 44:213
Pulay P, Saebo S, Meyer W (1984) J Chem Phys 81:1901
Krishnan R, Frisch MJ, Pople JA (1980) J Chem Phys 72:4244
See, for example, te Velde G, Baerends EJ (1992) J Comput Phys 99:84
Matos M, Kirtman B (1995) Surf Sci 341:162
Kirtman B, DeMelo CP (1987) J Chem Phys 86:1624
Kirtman B, DeMelo CP (1986) Int J Quantum Chem 29:1209
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© 1999 Springer Verlag Berlin Heidelberg
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Kirtman, B. (1999). Local Space Approximation Methods for Correlated Electronic Structure Calculations in Large Delocalized Systems that are Locally Perturbed. In: Surján, P.R., et al. Correlation and Localization. Topics in Current Chemistry, vol 203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48972-X_8
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DOI: https://doi.org/10.1007/3-540-48972-X_8
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