A method based on matrix algebra and on the rotational isomeric state
scheme to study the configurational-conformational entropy of 1,4-poly
dienes with geometrical isomerism has been developed. Bernoullian and
first- and second-order Markovian statistics for the sequences of cis
and trans units along the chains have been considered, and the explici
t relation between entropy and mole fraction of cis units has been der
ived. Calculations performed by using available experimental data for
the configurational parameters and the conformational partition functi
ons of 1,4-polybutadiene and 1,4-polyisoprene show that entropy is a m
onotonic function of the geometrical isomer composition. While the ent
ropy of polybutadiene increases with the content of cis units, the rev
erse is true for polyisoprene.