Potential derived (PD) atomic charges, obtained by fitting to molecula
r electrostatic potentials, are widely used in molecular modeling and
simulation calculations. These charges are known to depend on the samp
le of points chosen for the fit, on the particular point selection alg
orithm, on molecular translations and rotations in many instances, and
even on molecular conformation. Following a critique of currently ava
ilable methods, a novel point selection scheme is described which resu
lts in a highly isotropic array of points located on a series of fused
-sphere van der Waals surfaces. The pattern of points is based on tess
elations of the icosahedron, and these are discussed in some detail al
ong with their connection with virus morphology, geodesic domes, and s
ymmetric fullerene structures. Using methanol as a test case, it is sh
own that the new method leads to PD charges which are independent of t
ranslation and display minimal rotational dependence, and are hence fa
r better suited to the determination of PD charges from electrostatic
potentials obtained from both theory and experimental X-ray diffractio
n data. The conformation dependence of the newly derived PD charges fo
r alanyl dipeptide is found to be substantially less than obtained ear
lier by Williams [Biopolymers 29, 1367 (1990)]. (C) 1996 by John Wiley
& Sons, Inc.