1964 Volume 21 Issue 234 Pages 594-601
A simple statistical thermodynamic treatment of the dependence of lateral order in molecular arrangement on temperature for the crystallite of polyether type polymer -{-A-(B) b-} n-is put forward in this paper: this treatment is analogous to the elementary theory of orderdisorder transformation for a binary alloy. The degree of lateral order (fp) is given by following equation, _??_
where b is the number of atomic group B in a repeating unit, l is the dimension of a segment moving along the direction of chain axis in the crystallite, Δεr is the difference in bond energy between ordered and disordered arrangements for a pair of repeating units, k is Boltzmann constant and T is absolute temperature.
The heat of fusion of polyether type polymer (ΔHf) is given by following equation, where fp is the degree of lateral order in molecular arrangement calculated from above equation at the melting point (Tm) and ΔHAA, ΔHBB and ΔHAB are the heats of fusion for A-A, B-B and A-B bonds repectively, _??_
The heats of fusion of polyethers of polymethyleneoxide series calculated by this equation are in good agreement with measured values.