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655. GRID: Point Multipoles Derived from Molecular Electrostatic Properties (Version 3.0)

by Christophe Chipot and Janos G. Angyan, Laboratoire de Chimie Theorique, Universite de Nancy I, BP. 239, 54506 Vand-uvre-les-Nancy Cedex, France

GRID 3.0 is a major functionality revision of version 2.0. This program derives point charges and dipoles from molecular electrostatic properties computed by GAUSSIAN 88, 90, 92 and 92/DFT.

The ab initio or semi-empirical electrostatic properties are evaluated on a grid of discrete points surrounding the molecule. This grid may be built employing two alternative approaches:

Standard Cox and Williams type sampling algorithm (subroutine pnt). The selection of points for the fitting procedure implies the construction of an initial parallelepiped-shaped grid of spaced points. The dimensions of the grid containing the molecule involve an exclusion radius on all sides. Points found to lie further than rmax (an arbitrarily chosen distance defining the grid boundaries) from any nucleus are discarded. Points inside the so-called van der Waals envelope are also rejected. Because of the short-range effects of electron cloud penetration, which generally prevents a correct representation of the SCF potential by point charge models, the size of this envelope has been doubled. The density of points used for the fit may be modified by adjusting the grid step +r. It has been observed that there is no noticeable influence of this density on the fitted charges, as long as the space surrounding the molecule is sampled properly.

GEPOL algorithm (subroutine gepol). The selection of points is achieved by generating van der Waals surfaces around the molecule. Since, in this procedure, the number of points per van der Waals sphere is limited to 60, the use of a simple envelope proved to be insufficient to yield acceptable charges. For this reason, it is necessary to construct a series of concentric van der Waals envelopes separated by a grid step +r. The minimal distance of the furthermost envelope is defined by the parameter rmax. Just like in subroutine pnt, the size of the envelope is over- dimensioned to avoid the deleterious effects of penetration.

After running this section of GRID, a sequential access fort.52 file written in the (3F20.12) format is generated. This file containing the Cartesian coordinates of the grid points (in Angstroms) is used by the GAUSSIAN suite of programs, which, in turn, create a fort.53 file that includes, depending on the chosen option, the molecular electrostatic potential and its successive derivatives (in atomic units). Point charges are derived by means of a least-squares fitting procedure.

Lines of Code: 6705 FORTRAN 77



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