A relation between change in electrical volume resistivity (
R) and volume-shrinkage (ε)(ε=Δ
V/
V, where Δ
V is volume contraction and
V is initial volume) on crosslinking of amorphous polymers is derived by applying the theory of molecular and segmental mobility in glassforming substance above glass transition temperature proposed by Cohen, Turnbull, Okano and Hideshima. This derivation is based on the concept that the volume-shrinkage is only due to the reduction of free volume accompanied by crosslinking. The relation is where υ
f0 is the average free volume per segment before crosslinking, υ* is critical volume just large enough to permit an ion to jump into it and R
o, γ and θ are constants. In addition, it is derived that the temperature dependence of electrical volume resistivity of amorphous polymers above glass transition temperature is expressed by an equation of the WLF form. Proportionality of the relation between l/ln (R/R
0) and 1/ε is experimentally confirmed on the polymerization process of unsaturated polyester resins and epoxy resins.
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