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Modeling of phase transitions in three-phase polymorphic systems: Part II. Effects of material characteristics on transition rates

Published online by Cambridge University Press:  01 July 2011

Beata Misztal-Faraj  and
Andrzej Ziabicki
Beata Misztal-Faraj
Affiliation:
Institute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, Poland
Andrzej Ziabicki*
Affiliation:
Institute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, Poland
*
a)Address all correspondence to this author. e-mail: aziab@ippt.gov.pl
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Abstract

Nonequilibrium phase composition in multiphase systems affects physical properties of many materials. Development of phase composition is controlled by external conditions and material characteristics. Based on the model presented in the Part I [A. Ziabicki and B. Misztal-Faraj, J. Mater. Res. 26(13), (2011)], rates of phase transitions in a three-phase model monotropic system composed of an amorphous (liquid) phase and two solid polymorphs have been analyzed. Effects of material characteristics including activation energy of molecular mobility, heat and entropy of the transitions, interface tensions, and concentration of predetermined nuclei have been discussed.

Keywords

KineticsNucleation and growthPhase transformation
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 13 , 14 July 2011 , pp. 1596 - 1604
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Ziabicki, A. and Misztal-Faraj, B.: Modeling of phase transitions in three-phase polymorphic systems: Part I. Basic equations and example simulation. J. Mater. Res. 26 (2011).CrossRefGoogle Scholar
2.Kolmogoroff, A.N.: A statistical theory for crystallization of metals (in Russian). Izv. Akad. Nauk SSSR. Ser. Math. 1, 355 (1937).Google Scholar
3.Johnson, W.A. and Mehl, R.F.: Reaction kinetics in processes of nucleation and growth. Trans. Am. Inst. Min. Metall. Pet. Eng. 135, 416 (1939).Google Scholar
4.Avrami, M.: Kinetics of phase change. I–III. J. Chem. Phys. 7, 1103 (1939); 8, 212(1940); 9, 177 (1941).CrossRefGoogle Scholar
5.Evans, U.R.: The laws of expanding circles and spheres in relation to the lateral growth of surface films and the grain-size of metals. Trans. Faraday Soc. 41, 365 (1945).CrossRefGoogle Scholar
6.Sajkiewicz, P., Gradys, A., Ziabicki, A., Misztal-Faraj, B.: On the metastability of β phase in isotactic polypropylene: Experiments and numerical simulation. e-Polymers 124, 1 (2010).Google Scholar
7.Meyer, B.: Elemental sulfur. Chem. Rev. 76, 367 (1976).CrossRefGoogle Scholar
8.Mehrer, H.: Diffusion in Solids (Springer, Berlin-Heidelberg-New York, 2007).CrossRefGoogle Scholar
9.Turnbull, D.: Formation of crystal nuclei in liquid metals. J. Appl. Phys. 21, 1022 (1950).CrossRefGoogle Scholar
10.Bai, X.-M. and Li, M.: Calculation of solid-liquid interfacial free energy: A classical nucleation theory based approach. J. Chem. Phys. 124, 124707 (2006).Google Scholar
11.Antonoff, G.: Surface tension of solids and methods of measuring the same. J. Phys. Colloid Chem. 52, 969 (1948).CrossRefGoogle ScholarPubMed
12.Varga, J., Mudra, I., and Gottfried, W.E.: Highly active thermally stable β-nucleating agents for isotactic polypropylene. J. Appl. Polym. Sci. 74, 2357 (1999).3.0.CO;2-2>CrossRefGoogle Scholar
13.Supaphol, P. and Spruiell, J.E.: Crystalline memory effects in isothermal crystallization of syndiotactic polypropylene. J. Appl. Polym. Sci. 75, 337 (2000).3.0.CO;2-4>CrossRefGoogle Scholar
14.Alfonso, G.C., Valenti, B., and Pedemonte, E.: Low molecular weight polyethylene single crystals: Nucleation. Makromol. Chem. 175, 1917 (1974).CrossRefGoogle Scholar
15.Byelov, D., Panine, P., Remeire, K., Biemond, E., Alfonso, G.C., and de Jeu, W.H.: Crystallization under shear in isotactic polypropylene containing nucleators. Polymer 49, 3076 (2008).CrossRefGoogle Scholar
16.Misztal-Faraj, B. and Ziabicki, A.: Effects of a predetermined nuclei and limited transformation on polymorphic crystallization in a model polymer. J. Appl. Polymer Sci. (in press).Google Scholar