Biexciton binding in GaAs quantum wells has been investigated for a ra
nge of well thicknesses (80-160 Angstrom) with spectrally resolved pho
toluminescence and transient degenerate four-wave mixing. Both light a
nd heavy hole biexcitons are observed. The ratio of the binding energy
of the heavy hole biexciton to that of the heavy hole exciton is foun
d to be approximate to 0.2, and nearly independent of well width over
the investigated range. A new theoretical calculation agrees very well
with the experimental ratio. This ratio is larger than predicted by H
ayne's rule for three-dimensional biexcitons.