EFFICIENT EVALUATION OF INTEGRALS FOR DENSITY-FUNCTIONAL THEORY - NONLINEAR D-TRANSFORMATIONS TO EVALUATE 3-CENTER NUCLEAR ATTRACTION INTEGRALS OVER B-FUNCTIONS
H. Safouhi et al., EFFICIENT EVALUATION OF INTEGRALS FOR DENSITY-FUNCTIONAL THEORY - NONLINEAR D-TRANSFORMATIONS TO EVALUATE 3-CENTER NUCLEAR ATTRACTION INTEGRALS OVER B-FUNCTIONS, International journal of quantum chemistry, 70(1), 1998, pp. 181-188
Density functional theory requires precise numerical values for three-
center nuclear attraction integrals, best obtained over slater-type or
bitals (STOs). Efficient evaluation of three-center nuclear attraction
integrals over STOs to predetermined accuracy is made possible by app
lying the nonlinear D and (D) over bar transformations. These methods
are implemented in Fortran subroutines. This work shows how the condit
ions of applicability for these transformations are readily proven to
be satisfied using the Axiom symbolic computation system. Axiom also p
rovides exact values of the integrals for comparison. Their evaluation
by standard numerical quadrature methods (Gauss-Laguerre), proves ina
dequate: Certain parameters lead to inaccurate values for the integral
s, whereas the transformed integrals are highly accurate and rapidly e
valuated. (C) 1998 John Wiley & Sons, Inc.