Generalized Gradient Approximation Made Simple

Oct 28, 1996
Published in:
  • Phys.Rev.Lett. 77 (1996) 18, 3865
  • Published: Oct 28, 1996

Citations per year

19982005201220192025050100150
Abstract: (APS)
Generalized gradient approximations (GGA's) for the exchange-correlation energy improve upon the local spin density (LSD) description of atoms, molecules, and solids. We present a simple derivation of a simple GGA, in which all parameters (other than those in LSD) are fundamental constants. Only general features of the detailed construction underlying the Perdew-Wang 1991 (PW91) GGA are invoked. Improvements over PW91 include an accurate description of the linear response of the uniform electron gas, correct behavior under uniform scaling, and a smoother potential.
    • W. Kohn
      ,
    • L.J. Sham
      • Phys.Rev.A 140 (1965) 1133
  • Density Functional Theory (Oxford, New York,)
    • R.M. Dreizler
      ,
    • E.K.U. Gross
      ,
    • R.G. Parr
      ,
    • W. Yang
    • D.C. Langreth
      ,
    • M.J. Mehl
      • Phys.Rev.B 28 (1983) 1809
    • J.P. Perdew
      ,
    • J.A. Chevary
      ,
    • S.H. Vosko
      ,
    • K.A. Jackson
      ,
    • M.R. Pederson
    et al.
      • Phys.Rev.B 46 (1992) 6671
  • 48, 4978(E)
    • J.P. Perdew
      ,
    • J.A. Chevary
      ,
    • S.H. Vosko
      ,
    • K.A. Jackson
      ,
    • M.R. Pederson
    et al.
    • A.D. Becke
      • J.Chem.Phys. 96 (1992) 2155
  • Quantum Chem., S29
    • E.I. Proynov
      ,
    • E. Ruiz
      ,
    • A. Vela
      ,
    • D.R. Salahub
      ,
    • A.C. Scheiner
    et al.
    • (unpublished), p. 61
      • Int. J.
      • B. Hammer
        ,
      • K.W. Jacobsen
        ,
      • J.K. Nørskov
        • Phys.Rev.Lett. 70 (1993) 3971
      • B. Hammer
        ,
      • M. Scheffler
        • Phys.Rev.Lett. 74 (1995) 3487
    • 76, 660
      • D.R. Hamann
      • P.H.T. Philipsen
        ,
      • G. te Velde
        ,
      • E.J. Baerends
        • Chem.Phys.Lett. 226 (1994) 583
    • Int. J
      • A. Zupan
        ,
      • J.P. Perdew
        ,
      • K. Burke
        ,
      • M. Caus
      • 304
        • V. Ozolins
          ,
        • M. Körling
          • Phys.Rev.B 48 (1993) 18
      • 947
        • C. Filippi
          ,
        • D.J. Singh
          ,
        • C. Umrigar
          • Phys.Rev.B 50 (1994) 14
      • and references therein
        • J.P. Perdew
          ,
        • Y. Wang
          • Phys.Rev.B 45 (1992) 13
      • Phys. Rev. B
        • J.P. Perdew
          ,
        • K. Burke
          ,
        • Y. Wang
        • in Electronic Structure of Solids `91, P. Ziesche and H. Eschrig (eds.)
          • J.P. Perdew
        • 164
          • E. Engel
            ,
          • S.H. Vosko
            • Phys.Rev.B 47 (1993) 13
          • C. Filippi
            ,
          • C.J. Umrigar
            ,
          • M. Taut
            • J.Chem.Phys. 100 (1994) 1290
          • R. Neumann
            ,
          • R.H. Nobes
            ,
          • N.C. Handy
            • Mol.Phys. 87 (1996) 1
          • G. Ortiz
            ,
          • P. Ballone
            • Phys.Rev.B 43 (1991) 6376
        • 328
          • G. Ortiz
            • Phys.Rev.B 45 (1992) 11