Skip to main content
SpringerLink
Log in

Kinetics of Overall Crystallization: Kinetic Criteria for Glass-Formation

  • Chapter
  • First Online:
The Vitreous State

Abstract

This division of the phase formation process into nucleation and growth gives the possibility to investigate separately various specific features of these two particular stages of the process of phase transformation. However, such a division is in some respect artificial since it separates into different parts one process which in fact involves both nucleation and growth of clusters generally taking place simultaneously in the same volume of the melt. Thus we have to solve the problem of how the knowledge obtained in exploring separately nucleation and growth can be interconnected in a subsequent step to give a satisfactory description of the process of overall crystallization or of the overall course of phase transformations, in general. The solution of this problem is addressed in the present chapter by an outline of the Kolmogorov-Avrami theory of overall crystallization. Based on these concepts, kinetic criteria of glass-formation are developed and their relation to different historically established criteria of glass-formation is discussed in detail.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Avrami, M.: J. Chem. Phys. 7, 1103 (1939); 8, 212 (1940); 9, 177 (1941)

    Google Scholar 

  2. Barrett, P.: Cinetique Heterogene. Gauthier-Villars, Paris (1973)

    Google Scholar 

  3. Bekkedahl, N.: J. Res. Natl. Bureau Stand. 13, 411 (1934); Rubbber Chem. Technol. 8, 5 (1935)

    Google Scholar 

  4. Belkevich, P.I.: Overview on topochemical equations and their applicability to the kinetics of thermal decomposition of solid bodies. In: Collected Works of the Belorussian Academy of Sciences, Institute of Chemistry, p. 21. Academy of Sciences Publishers, Minsk (1956, in Russian)

    Google Scholar 

  5. Budurov, S., Spassov, T., Marchev, K.: J. Mater. Sci. 22, 3485 (1987)

    Article  ADS  Google Scholar 

  6. Christian, J.W.: The Theory of Transformations in Metals and Alloys. Oxford University Press, Oxford (1975)

    Google Scholar 

  7. Collins, F.C.: Z. Elektrochem. 59, 404 (1955)

    Google Scholar 

  8. Dietzel, A., Wiekert, H.: Glastech. Ber. 29, 1 (1956)

    Google Scholar 

  9. Dobreva, A.: Non-steady state effects in the kinetics of crystallization of polymer melts. Ph.D. thesis, Bulgarian Academy of Sciences, Sofia (1992)

    Google Scholar 

  10. Dobreva, A., Gutzow, I.: J. Cryst. Res. Tech. 20, 863 (1991)

    Article  Google Scholar 

  11. Dobreva, A., Gutzow, I.: J. Non Cryst. Solids 162, 1, 13 (1993)

    Google Scholar 

  12. Dobreva, A., Gutzow, I.: J. Non Cryst. Solids 162, 235 (1997)

    Article  Google Scholar 

  13. Erofeev, B.V.: Dispersity of solid phases in connection with the kinetics of their formation. In: Collected Works of the Belorussian Academy of Sciences, Institute of Chemistry. Academy of Sciences Press, Minsk, p. 13 (1956, in Russian)

    Google Scholar 

  14. Fokin, V.M., Kalinina, A.M., Filipovich, V.N.: Fiz. i Khim. Stekla 3, 129 (1977)

    Google Scholar 

  15. Gutzow, I.: Z. Anorgan. Allg. Chem. 302, 18, 259 (1959)

    Google Scholar 

  16. Gutzow, I.: Relationship between the Structure of a Substance in the Glassy State and the Zero-Point Entropy. In: Porai-Koshits, E.A. (ed.) Proceedings of the IV-th All-Union Conference on the Glassy State, Leningrad, 1964. The Structure of Glass, vol. 6, part 1, p. 55. Consultants Bureau, New York (1966)

    Google Scholar 

  17. Gutzow, I.: Proceedings of the 1-st International Otto-Schott Kolloquium, Wissenschaftliche Zeitschrift der Friedrich-Schiller Universität Jena, Mathematisch-Naturwissenschaftliche Reihe 28, 243 (1979)

    Google Scholar 

  18. Gutzow, I., Dobreva, A.: Polymer 33, 451 (1992)

    Article  Google Scholar 

  19. Gutzow, I., Kashchiev, D.: Commun. Dep. Chem. (Bulgarian Academy of Sciences) 3, 645 (1970)

    Google Scholar 

  20. Gutzow, I., Kashchiev, D.: The kinetics of overall crystallization of undercooled melts in terms of the non-steady state theory of nucleation. In: Hench, L.L., Freiman, S.W. (eds.) Kinetics of Overall Crystallization in Terms of the Non-Steady State Theory of Nucleation. Advances in Nucleation and Crystallization of Glasses, p. 116. American Ceramic Society, Columbus Ohio (1971)

    Google Scholar 

  21. Gutzow, I., Popov, E., Toschev, S., Marinov, M.: Crystallization of sodium metaphosphate glass on metallic condensation cores with a cubic lattice. In: Growth of Crystals; Proceedings of the 7-th International Congress on Crystallography, Moscow, July 1966, vol. 8, part 2, p. 95. Nauka, Moscow (1968, in Russian)

    Google Scholar 

  22. Gutzow, I., Kashchiev, D., Avramov, I.: J. Non Cryst. Solids 73, 477 (1985)

    Article  ADS  Google Scholar 

  23. Gutzow, I., Avramov, I., Kästner, K.: J. Non Cryst. Solids 123, 97 (1990)

    Article  ADS  Google Scholar 

  24. Gutzow, I., Pascova, R., Karamanov, A., Schmelzer, J.: Kinetics of Surface Induced Sinter Crystallization, Proceedings of the VI-th International Otto-Schott Colloquium, Jena, July, 1994

    Google Scholar 

  25. Henderson, D.W.: J. Non Cryst. Solids 30, 301 (1979)

    Article  ADS  Google Scholar 

  26. Hollomon, D.N., Turnbull, D.: Nucleation at phase transitions. In: Chalmers, B. (ed.) Progress of Metal Physics, vol. 4, p. 304. Butterworths, Pergamon Press, London (1953)

    Google Scholar 

  27. Jacobs, P., Tompkins, F.: Classification and theory of reactions in the solid state. In: Garner, W.E. (ed.) Chemistry of the Solid State. Butterworths, Lomdon (1955)

    Google Scholar 

  28. Johnson, W.A., Mehl, R.F.: Reaction kinetics in processes of nucleation and growth. Trans. Am. Inst. Min. Metall. Eng. 135, S. 416-458 (1939)

    Google Scholar 

  29. Kaischew, R., Mutaftschiev, B.: Bull. Inst. Chim. Bulg. Acad. Sci. 7, 177 (1959)

    Google Scholar 

  30. Kaseev, S.A.: Kinetics in Application to Metallurgy. State Publishers Oboronnoi Promyschlennosti, Moscow (1956, in Russian)

    Google Scholar 

  31. Kashchiev, D.: Surf. Sci. 14, 209 (1969); 18, 389 (1969)

    Google Scholar 

  32. Kolmogorov, A.N.: Izv. Acad. Sci. USSR, Ser. Math. 1, 355 (1937)

    Google Scholar 

  33. Mampel, K.: Z. Phys. Chem. A 187, 43, 225 (1940)

    Google Scholar 

  34. Mandelkern, L.: Crystallization of Polymers. McGraw-Hill, New York (1964)

    Google Scholar 

  35. Morgan, L.B.: Phil. Trans. R. Soc. (Lond.) A 247, 13 (1954)

    Google Scholar 

  36. Müller, R.: J. Therm. Anal. 35, 823 (1989)

    Article  Google Scholar 

  37. Müller, R., Hübert, T., Kirsch, M.: Silikattechnik 37, 111 (1986)

    Google Scholar 

  38. Poisson, S.D.: Resherches sur la Probalite des Judgment (en Materies Criminelles et Civiles), Paris, p. 206 (1837)

    Google Scholar 

  39. Rawson, H.: Inorganic Glass-Forming Systems. Academic, London/New York, 1967

    Google Scholar 

  40. Scholze, H.: Glas: Natur, Struktur und Eigenschaften, 2nd edn. Vieweg, Braunschweig, 1965; Springer, Berlin (1977)

    Google Scholar 

  41. Shneidman, V.A.: J. Technol. Phys. (USSR) 58, 2202 (1988)

    Google Scholar 

  42. Shneidman, V.A.: Transient kinetics of nucleation. A review of russian papers. In: proceedings of the 13-th International Conference on Nucleation and Atmospheric Aerosols, Salt Lake City, Utah, 22—28 August, 1992

    Google Scholar 

  43. Shneidman, V.A., Weinberg, M.: J. Non Cryst. Solids 160, 89 (1993)

    Article  ADS  Google Scholar 

  44. Shi, G., Seinfeld, J.H.: J. Mater. Res. 6, 2091, 2097 (1991)

    Google Scholar 

  45. Shi, G., Seinfeld, J.H., Okuyama, K.: Phys. Rev. A41, 2101 (1990); J. Chem. Phys. 93, 9033 (1990)

    Google Scholar 

  46. Stanworth, J.E.: J. Soc. Glass Technol. 30, 54T (1946)

    Google Scholar 

  47. Todes, O.M.: Zh. Fiz. Khim. (USSR) 14, 1224 (1940)

    Google Scholar 

  48. Turnbull, D.: Contemp. Phys. 10, 473 (1969)

    Article  ADS  Google Scholar 

  49. Turnbull, D., Cohen, M.H.: Crystallization kinetics and glass-formation. In: Mackenzie, J.D. (ed.): Modern Aspects of the Vitreous State, p. 38. Butterworths, London (1960)

    Google Scholar 

  50. Uhlmann, D.R.: J. Non Cryst. Solids 7, 337 (1972)

    Article  ADS  Google Scholar 

  51. Uhlmann, D.R.: J. Non Cryst. Solids 25, 42 (1977)

    Article  ADS  Google Scholar 

  52. Umanski, Y.S. et al.: Physical Metallurgy. Metallurgy Press, Moscow (1955, in Russian)

    Google Scholar 

  53. Vetter, K.J.: Electrochemical Kinetics. Academic, New York (1967)

    Google Scholar 

  54. Westmann, A.E.R., Krishnamurthy, M.: Kinetics of reorganization, nucleation and crystallization in sodium phosphate glasses. In: Reger, M.K., Smith, G., Insley, A. (eds.) Symposium on Nucleation and Crystallization in Glasses and Melts, p. 91. American Ceramic Society, Columbus, Ohio (1962)

    Google Scholar 

  55. Winter, A.: J. Am. Ceram. Soc. 40, 54 (1957)

    Article  Google Scholar 

  56. Yinnon, H., Uhlmann, D.R.: J. Non Cryst. Solids 54, 253 (1983)

    Article  ADS  Google Scholar 

  57. Young, D.: Decomposition of Solids. Pergamon Press, London (1966)

    Google Scholar 

  58. Zanotto, E.D.: J. Non Cryst. Solids 129, 183 (1991)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physical Chemistry, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan S. Gutzow

  2. Institut für Physik, Universität Rostock, Rostock, Germany

    Jürn W. P. Schmelzer

Authors
  1. Ivan S. Gutzow
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jürn W. P. Schmelzer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Gutzow, I.S., Schmelzer, J.W.P. (2013). Kinetics of Overall Crystallization: Kinetic Criteria for Glass-Formation. In: The Vitreous State. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34633-0_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34633-0_10

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34632-3

  • Online ISBN: 978-3-642-34633-0

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation