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A rotationally invariant procedure for density functional calculations
Authors:Benny G Johnson  Peter M W Gill and John A Pople
Institution:

a Department of Chemistry, Carnegie Mellon University, Pittsburgh, PA 15213, USA

b Q-Chem, Inc., 7520 Graymore Rd., Pittsburgh, PA 15221, USA

c Department of Chemistry and Biochemistry, Massey University, Palmerston North, New Zealand

d Department of Chemistry, Northwestern University, Evanston, IL 60208, USA

Abstract:A simple method which is rigorously invariant under molecular rotations is presented for evaluation of the density functional exchange—correlation energy by numerical quadrature. The corresponding expressions for the first and second derivatives of the energy with respect to nuclear displacement are presented. In particular, such a scheme is necessary to remove the difficulties previously encountered in calculating Kohn—Sham harmonic vibrational frequencies for low-lying modes.
Keywords:
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