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432                             Handbook of Properties of Textile and Technical Fibres

         are the same. These very simplified calculations are based on the assumption of an
         ideal arrangement of copolymer chains in an unlimited length. Real fibers contain,
         of course, segments of higher or lower local comonomer concentrations. Moreover,
         the polymer chains have a finite length. Corresponding to a polymerizing degree of
         80 is an average PET chain length of 86 nm. It is evident that some chains will not
         contain any modification component at all.


         13.2.2.2 Effect of modification on the state of crystalline phase

         The presence of a comonomer has an influence on the rate of crystallization and on the
         whole crystalline structure. The following possibilities exist:
         •  mixed crystals are formed (the comonomer is built into the crystallites);
         •  crystallites are formed by the monomer units of the basic homopolymer only (comonomer
            units remain in the amorphous phase only);
         •  crystallization is prevented (in this instance, however, the copolyester is unsuitable for prep-
            aration of textile fibers);
         •  two independent crystalline structures are formed (this comes into consideration with block
            copolymers only).
            It is evident that increasing the relative molecular mass of the polymer leads to a
         retardation of crystallization. But the temperature corresponding to the maximum crys-
         tallization rate, T cm , does not change in practice (Jackson and Longmann, 1969). The
         addition of a comonomer will shift T cm towards lower values. Likewise the crystalli-
         zation rate will be generally markedly decreased. Owing to the effect of a reduced glass
         transition temperature T g and shifted T cm , the crystallization rate of copolymers can be
         even higher. Privalko (1978) has found that T cm (K) is related to the glass transition
         temperature of polymers T g (K) by the empirical relation T cm ¼ 1.26 T g .
            Isomorphous modification components increase the rate of crystallization when
         used at lower concentrations. But at higher concentrations above 5 M% with adipic
         acid, even such modification components will decrease the crystallization rate. These
         conclusions are supported by the results of measurements of the dependence of the
         cold crystallization temperature T c on the content of different comonomers (Militký
         et al., 1991). The higher the value of T c the more difficult will be the crystallization
         of a given system. An increase in isophthalic acid content leads to a marked increase
         of T c . In copolyesters containing a sodium salt of 5-sulfoisophthalic acid, T c increases
         proportionally to the modifying component content. On the other hand, increasing the
         content of adipic acid, DEG, and PEG (Veena et al., 1979) decreases the T c .
            The equilibrium degree of crystallinity at a given temperature is affected by the
         presence of comonomers to a much lesser extent. Thus, for example, it needs 10%
         content of isophthalic acid to cause a slight decrease in equilibrium crystallinity
         (Militký et al., 1991). A more distinct decrease in the equilibrium degree of crystal-
         linity is caused by comonomers that increase the rigidity of chains (e.g., sodium salts
         of 5-sulfoisophthalic acid).
            The different crystallization rates of copolymer and homopolymer can play an
         important role in the course of fiber production, mainly during drawing and setting
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