Microphase separation in comblike copolymers, in which the backbone is
of one monomeric species and the teeth are of another species, is dis
cussed. Within the random phase approximation of Leibler, we calculate
the spinodal transition curve (chi(N))s as a function of compositiona
l fraction f of backbone monomers. The comb is assumed to have either
evenly spaced grafting points or randomly placed grafting points. The
evenly spaced copolymers have teeth symmetrically or asymmetrically pl
aced on the backbone. In the evenly spaced copolymer melt, as the numb
er of teeth (n(t)) is increased in the comb, the spinodal curve change
s toward a fixed form. The spinodal curves approach the large-n(t) for
m as a function of n(t) from significantly different directions depend
ing on the symmetry. This difference led us to consider the consequenc
e of random placement of the teeth. The copolymer melt with randomly p
laced teeth approaches a significantly different spinodal curve in the
limit of large n(t). More importantly, the scaling of the instability
wave vector in the limit of large n(t) changes from the expected q a
pproximately (n(t)/N)1/2 to q approximately (n(t)1/4/N1/2). These res
ults call into question the assumption of well-ordered comb copolymers
as a basis for computing detailed properties of melts.