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The composition dependence of glass transition properties
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6.Although Eq. (8) is commonly used to give a value for the configurational entropy, the vibrational frequencies of the amorphous and crystalline phases are not identical, so part of the quantity given by the right‐hand side of Eq. (8) will be vibrational rather than configurational.
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19.The fact that the binary mixtures of the alcohols considered here behave as ideal or as regular solutions is documented by data presented in references such as International Critical Tables (McGraw‐Hill, New York, 1928), 1st ed., Vol. III, pp. 284–288;
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20.For two substances with relatively close values of at will appear to be independent of x, while for two substances with signficantly different values, the x dependence of is predicted. Since depends on is only linear in the difference of the glass temperatures of the pure components if either the values are about the same or the dependence of on is negligible.
21.L. E. Nielsen, Mechanical Properties of Polymers and Composites (Dekker, New York, 1974), Vol. 1, Chap. 1.
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23.The definition of configurational entropy used in the theory of Gibbs and Dimarzio5 is thus somewhat different from the meaning sometimes assigned to this term in other contexts. In the theory of Gibbs and Dimarzio the term “configurational entropy” is used to designate a measure of the number of modes of packing molecules into a given volume without regard to trivial degeneracies such as might arise from isotopic mixing (see footnote 15 in the first of the two articles cited here as Ref. 5). Such trivial degeneracies cannot significantly influence the principal transport properties at issue in discussion of the nature of the glass transition.
24.For systems with sufficient “nonideality” in the solid phases to produce solid‐solid immiscibility over a certain temperature region.
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