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Cited by 53,711

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Density-functional exchange-energy approximation with correct asymptotic behavior

Becke, A. D.·1988·Physical Review A

Abstract

Current gradient-corrected density-functional approximations for the exchange energies of atomic and molecular systems fail to reproduce the correct 1/r asymptotic behavior of the exchange-energy density. Here we report a gradient-corrected exchange-energy functional with the proper asymptotic limit. Our functional, containing only one parameter, fits the exact Hartree-Fock exchange energies of a wide variety of atomic systems with remarkable accuracy, surpassing the performance of previous functionals containing two parameters or more.

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Research works printed but not linked: 21

  1. L. J. Sham, 1971, Computational Methods in Band Theory
  2. L. Kleinman, 1984, Phys. Rev. B, 30, 2223, 10.1103/PhysRevB.30.2223 · DOI
  3. F. Herman, 1969, Phys. Rev. Lett., 22, 807, 10.1103/PhysRevLett.22.807 · DOI · Paper page
  4. F. Herman, 1970, Int. J. Quantum Chem. Quantum Chem. Symp., 3, 827
  5. O. Gunnarsson, 1980, Phys. Scr., 21, 394, 10.1088/0031-8949/21/3-4/027 · DOI · Paper page
  6. A. D. Becke, 1986, J. Chem. Phys., 84, 4524, 10.1063/1.450025 · DOI
  7. T. Ziegler, 1987, Polyhedron, 6, 685, 10.1016/S0277-5387(00)86876-X · DOI
  8. T. Ziegler, 1987, J. Am. Chem. Soc., 109, 1351, 10.1021/ja00239a011 · DOI
  9. T. Ziegler, 1987, J. Am. Chem. Soc., 109, 4825, 10.1021/ja00250a013 · DOI
  10. J. P. Perdew, 1986, Phys. Rev. B, 33, 8800, 10.1103/PhysRevB.33.8800 · DOI
  11. A. D. Becke, 1986, J. Chem. Phys., 85, 7184, 10.1063/1.451353 · DOI · Paper page
  12. A. E. DePristo, 1987, J. Chem. Phys., 86, 1425, 10.1063/1.452230 · DOI
  13. S. H. Vosko, 1987, Proceedings of the International Workshop on Condensed Matter Theories, Argonne National Laboratory, 1986
  14. J. C. Slater, 1974, The Self-Consistent Field for Molecules and Solids
  15. A. D. Becke, 1983, Int. J. Quantum Chem., 23, 1915, 10.1002/qua.560230605 · DOI
  16. N. H. March, 1987, Phys. Rev. A, 36, 5077, 10.1103/PhysRevA.36.5077 · DOI
  17. 1985, Phys. Rev. B, 31, 3231
  18. E. Clementi, 1974, At. Data Nucl. Data Tables, 14, 177, 10.1016/S0092-640X(74)80016-1 · DOI
  19. A. D. McLean, 1981, At. Data Nucl. Data Tables, 26, 197, 10.1016/0092-640X(81)90012-7 · DOI
  20. V. Sahni, 1982, Phys. Rev. B, 26, 4371, 10.1103/PhysRevB.26.4371 · DOI
  21. D. C. Langreth, 1983, Phys. Rev. B, 28, 1809, 10.1103/PhysRevB.28.1809 · DOI

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Metadata

Authors
Becke, A. D.
Venue
Physical Review A
Published
1988-09-01
Volume
38
Issue
6
Pages
3098-3100
ISSN
0556-2791 (ISSN-L)
OpenAlex
W2086957099
Cited by
53,711
References
0
FWCI
6.06
Type
journal article
Language
en
Open access
closed

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