The mean-square radius of gyration for polysiloxanes has been derived
according to the exact definition. Taking account of the examples of s
ymmetrically substituted poly(dimethylsiloxane) and unsymmetrically su
bstituted poly(methylphenylsiloxane), we find that the dependence of [
S-2] On the molecular weight follows the general formula [S-2] = aM(b)
with b = 1 +/- 0.016, which is analogous to the theoretical outcomes
for vinyl or vinylidene polymers even though the skeletal bone of poly
siloxanes consists of alternating heteroatoms. A numerical comparison
of the rigorous expression of the mean-square radius of gyration given
in this paper with that reported by Flory shows that the difference i
s obvious for low-molecular-weight polymer and it gradually declines w
ith increasing degree of polymerization.