The vibrational contributions to the Kerr effect and to electric-field
-induced second-harmonic generation (ESHG) are calculated for methane
for a number of optical frequencies. The latter results, together with
the experimental ESHG values of the total mean second hyperpolarizabi
lity, allow for the determination of the omega(L)(2)-dispersion curve
for the mean electronic hyperpolarizability. Since this curve is ident
ical, to fourth order, for both processes, we are able to combine it w
ith the calculated Kerr vibrational hyperpolarizabilities and predict
the total Kerr hyperpolarizabilities for CH4 for several laser frequen
cies. (C) 1995 American Institute of Physics.