By Leo Mandelkern
This re-creation of quantity 2 of Leo Mandelkern's self-contained paintings is an updated, authoritative account of the kinetics and mechanisms of polymer crystallization. Progressing from the equilibrium thoughts provided in quantity 1, it offers a complete remedy of the encircling theories and experimental effects from easy to advanced polymer structures. the quantity may be a useful reference paintings for all chemists, physicists and fabrics scientists operating within the sector of polymer crystallization.
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Additional resources for Crystallization of polymers. Kinetics and mechanisms
As has been indicated earlier, both Eq. 31) and Eq. 31a) have been commonly termed the Avrami relation. Either one is a very simple and convenient expression to use and hence their widespread adoption. However, it should be recognized that they are restricted in scope because of the limited nucleation and growth processes that have been considered. Thus, caution must be exercised when interpreting results using these equations. Theoretical isotherms based on the derived Avrami equations are plotted in Fig.
However, it does not account for the major differences that are observed. 59) 0 for two-dimensional growth and the same rate constant that was adopted earlier (Eqs. 17). 60) 0 The integral in Eq. 60) can be evaluated in closed form. In analogy to Eq. 61) 1 − λ(t) with time follow the same pattern as λ(t) ln(1/λ) in Eq. 38). This analysis can be extended to three-dimensional growth with analogous results. In quite another approach to the problem it has been postulated that two distinctly different Avrami type crystallizations are operative during the transformation.
32). 4 Comparison of theory with experiment 37 Very good agreement is found between theory and experiment up to about 70% of the transformation. The usual deviations are observed at the higher transformation levels as the crystallization rate becomes more protracted than predicted. It is clear that the crystallization is a continuous process. There is no obvious discontinuity when deviation from theory occurs. In contrast, when the same data are analyzed according to Eq. 32) two intersecting straight lines result, as is illustrated in Fig.