Molecular information entropies are computed by means of a three-dimen
sional numerical integration from wavefunctions expanded in a variety
of Gaussian basis sets at different levels. The results substantiate t
he use of the entropy sum as a measure of basis set quality. This sum
is also shown to be sensitive to electron correlation. The previously
observed trends for atomic systems computed from Slater-type orbitals
are seen to be present in the results from wavefunctions expanded in G
aussian-type orbitals.