  We present a series expansion study of spin-S square-lattice Heisenberg
antiferromagnets. The numerical data are in excellent agreement with recent
neutron scattering measurements. Our key result is that the correlation length
for S>1/2 strongly deviates from the exact T->0 (renormalized classical, or RC)
scaling prediction for all experimentally and numerically accessible
temperatures. We note basic trends with S of the experimental and series
expansion correlation length data and propose a scaling crossover scenario to
explain them.
