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.
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