C. Vanwullen, A RELATIVISTIC KOHN-SHAM DENSITY-FUNCTIONAL PROCEDURE BY MEANS OF DIRECT PERTURBATION-THEORY, The Journal of chemical physics, 103(9), 1995, pp. 3589-3599
The direct perturbation theory of relativistic effects is applied to t
he Kohn-Sham density functional procedure. The relativistic correction
to the total energy is calculated through the leading order. A method
for the determination of analytic energy derivatives of the resulting
total energy expression is presented, which allows the calculation of
the relativistic correction to molecular forces and other first-order
properties like e.g. the dipole moment. The method is applied to the
diatomic ''benchmark'' molecules AgH, AuH, and Au-2, and to the transi
tion metal carbonyls Mo(CO)(6) Pd(CO)(4), and W(CO)(6). (C) 1995 Ameri
can Institute of Physics.