Continuum solvation models have proven to yield very valuable informat
ion about solvation effects, if cavities close to the van der Waals su
rface of the solutes are used for the calculation of the screening cha
rges. Unfortunately, such cavity size implies that a small but signifi
cant portion of the solute electron density reaches out of the cavity.
This outlying charge causes serious problems in the context of the di
electric continuum treatment of the solvent. The present paper present
s a critical consideration of the origin, the magnitude, and the diffe
rent strategies for treatment of this problem. Finally, a novel ansatz
using an additional, outer cavity is presented which provides rather
accurate correction of the corresponding error. (C) 1996 American Inst
itute of Physics.