In order to study protein-protein and protein-DNA association, the ele
ctrostatic forces and interaction free energies for two macromolecules
at different mutual orientations and separations need to be evaluated
. Realistic systems typically consist of thousands of atomic charges i
n an environment with a nonuniform dielectric permittivity and a solve
nt of nonzero ionic strength. Consequently, accurate evaluations of el
ectrostatic forces and energies for such systems are only computationa
lly feasible for a limited number of macromolecule positions. Here, we
show that, by representing each molecule by a small number of effecti
ve charges in a uniform dielectric, intermolecular electrostatic inter
actions can be calculated simply and with high accuracy, The effective
charges are derived by fitting them to reproduce the molecular electr
ostatic potential calculated by numerical solution of the finite-diffe
rence linearized Poisson-Boltzmann equation. The derived charges are e
xpected to be useful in applications such as the simulation of the dif
fusional encounter of proteins where they will provide improved accura
cy over the commonly-used test charge approximation.