A reaction field exists even for a nonpolar solute embedded in a spher
ical cavity within a surrounding homogeneous dielectric continuum. Thi
s arises from the tail of the electronic wave function that penetrates
beyond the cavity boundary into the dielectric region. This effect, w
hich is neglected or treated only in cursory fashion in most reaction
field implementations, is examined in detail for the simple case of a
ground state hydrogen atom, where very accurate solutions of the relev
ant equations can be obtained. Properties considered include the penet
ration of the electron outside the cavity, the electronic density at t
he nucleus, the electron binding energy, the electrostatic free energy
of solvation, the polarizability, and the vertical 1s --> 2p excitati
on energy. Also, the effect of the common approximation of neglecting
the volume polarization and treating only the surface polarization con
tribution to the reaction field is critically evaluated. (C) 1996 Amer
ican Institute of Physics.