Cahn argued that the wetting temperature, T-W is always below the crit
ical temperature, T-C, of a binary solvent mixture. A self-consistent
field theory is used to show that this phenomenon is expected to be be
st observable for low molecular weight compounds. In polymer-solvent m
ixtures in contact with a rigid surface made of the same material as t
he polymer units, the difference T-W - T-C becomes minimal for an inte
rmediate degree of polymerization N = N* (similar to 65). The polymer
wets the surface for N < N*, whereas for larger N the solvent is at
the wall. Critical wetting is the rule; first-order wetting is only fo
und for relatively short chains, 2 less than or equal to N less than o
r equal to 16.