An atomic force microscope (AFM) was used to measure surface forces be
tween a glass sphere and a silica plate. When the measurements were co
nducted between untreated surfaces, a ''short-range'' hydration force
with decay lengths of 0.4 and 3.0 mm was observed. When the surfaces w
ere hydrophobized with octadecyltrichlorosilane (OTS), on the other ha
nd, long-range hydrophobic forces with decay lengths in the range of 2
-32 nm were observed. The force measurements were conducted between su
rfaces having similar and dissimilar hydrophobicities so that the resu
lts may be used for deriving an empirical combining rule. It was found
that the power law force constants for asymmetric interactions are cl
ose to the geometric means of those for symmetric interactions. Thus,
hydrophobic force constants can be combined in the same manner as the
Hamaker constants. A plot of the power law force constants versus wate
r contact angles suggests that the hydrophobic force is uniquely deter
mined by contact angle. These results will be useful in predicting hyd
rophobic forces for asymmetric interactions and in estimating hydropho
bic forces from contact angles. (C) 1997 Academic Press