Skip to main content

Theory of Crystal Growth and Dissolution in Under-cooled Melts: Basic Approaches

  • Chapter
  • First Online:
The Vitreous State

Abstract

The present chapter is devoted to an outline of the basic models of crystal growth. The theoretical considerations concerning the description of crystal growth are based on three very general models, i.e., normal (or continuous) growth, growth determined by processes of formation of two-dimensional nuclei and their subsequent enlargement and growth mediated by screw dislocations. Particular attention is also devoted to the analysis of different modes of crystal growth in chain-folding polymers. Further developments are discussed as well as experimental data illustrating the different models of crystal growth.

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

Access this chapter

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. Avramov, I., Pascova, R., Samouneva, B., Gutzow, I.: Phys. Chem. Glass. 20, 91 (1979)

    Google Scholar 

  2. Avramov, I., Grantcharova, E., Gutzow, I.: J. Non Cryst. Solids 52, 111 (1981)

    Google Scholar 

  3. Avramov, I., Grantcharova, E., Gutzow, I.: J. Non Cryst. Solids 91, 386 (1987)

    Article  ADS  Google Scholar 

  4. Avramov, I., Grantcharova, E., Gutzow, I.: J. Cryst. Growth 87, 305 (1988)

    Article  ADS  Google Scholar 

  5. Bertocci, U.: Surf. Sci. 15, 286 (1969)

    Article  ADS  Google Scholar 

  6. Borovinski, L.A., Zindergosen, A.N.: Investigation of Processes of Crystallization. In: Scientific Papers of the Herzen State College of Education, Novgorod, p. 27 (1969)

    Google Scholar 

  7. Botet, R., Jullien, R.: Ann. Phys. (France) 13, 153 (1988)

    Google Scholar 

  8. Brandes, H.: Z. Phys. Chem. 126, 196 (1927)

    Google Scholar 

  9. Buckley, H.E.: Crystal Growth. Wiley, New York/London (1951)

    Google Scholar 

  10. Budewski, E., Bostanoff, W., Vitanov, T., Stoinov, Z., Kotzewa, A., Kaischew, R.: Phys. Stat. Solidi 13, 577 (1966)

    Article  ADS  Google Scholar 

  11. Burton, W.K., Cabrera, N.: Discuss. Faraday Soc. 5, 33 (1949)

    Article  Google Scholar 

  12. Burton, W.K., Cabrera, N., Frank, F.C.: Phil. Trans. R. Soc. (Lond.) A 243, 299 (1951)

    Google Scholar 

  13. Cahn, J.W.: Acta Met. 8, 554 (1960)

    Article  Google Scholar 

  14. Cahn, J.W., Hillig, W.B., Sears, G.W.: Acta Met. 12, 1421 (1964)

    Article  Google Scholar 

  15. Chalmers, B., King, R. (eds.): Progress in Metal Physics, vol. 6. Pergamon Press, London/New York (1956)

    Google Scholar 

  16. Chernov, A.A.: Formation of crystals. In: Modern Crystallography, vol. 3. Nauka Publishers, Moscow (1980, in Russian)

    Google Scholar 

  17. Chernov, A.A.: Z. Phys. Chem. (Leipzig) 269, 941 (1988)

    Google Scholar 

  18. Cooper, A.: J. Non Cryst. Solids 95–96, 24 (1971)

    Google Scholar 

  19. Cooper, A.R.: Internal parameters, ordering parameters, history and the glass transition. In: Frischat, G. (ed.) The Physics of Non-crystalline Solids, p. 384. Aedermansdorf, Switzerland (1977)

    Google Scholar 

  20. Cormia, R.L., Mackenzie, J.D., Turnbull, D.: J. Appl. Phys. 34, 2239 (1963)

    Article  ADS  Google Scholar 

  21. Danilov, V.I., Malkin, V.I.: Zh. Fiz. Khim. 28, 1837 (1934)

    Google Scholar 

  22. Eitel, W.: The Physical Properties of the Silicates. University of Chicago Press, Chicago (1954)

    Google Scholar 

  23. Feder, J.: Fractals. Plenum Press, New York/London (1988)

    MATH  Google Scholar 

  24. Frank, F.C.: Discuss. Faraday Soc. 33, 40 (1949)

    Google Scholar 

  25. Frank, F.C., Tosi, M.: Proc. R. Soc. (Lond.) A 263, 323 (1961)

    Google Scholar 

  26. Frank, F.C., van der Merwe, J.H.: Proc. R. Soc. (Lond.) A 198, 205 (1949)

    Google Scholar 

  27. Frenkel, Y.I.: The Kinetic Theory of Liquids. Oxford University Press, Oxford (1946)

    Google Scholar 

  28. Geil, P.: Polymer Single Crystals. Interscience Publishers, New York (1963)

    Google Scholar 

  29. Gibbs, J.W.: On the equilibrium of heterogeneous substances. Trans. Conn. Acad. Sci. 3, 108, 343 (1875–78); see also: Gibbs, J.W.: The collected works. Thermodynamics, vol. 1. New York/London/Toronto (1928)

    Google Scholar 

  30. Glasstone, S., Laidler, H.J., Eyring, H.: The Theory of Rate Processes. Princeton University Press, New York/London (1941)

    Google Scholar 

  31. Grantcharova, E., Gutzow, I.: Cryst. Res. Technol. 25, 991 (1990)

    Article  Google Scholar 

  32. Gutzow, I.: Thermodynamical and model-statistical treatment of the glassy solidification. In: Frischat, G. (ed.) The Physics of Non-crystalline Solids, Proceedings 4-th International Conference Clausthal, 1976, p. 356. Transtech, Aedermansdorf (1977)

    Google Scholar 

  33. Gutzow, I.: Mechanism of crystallization in undercooled melts and glass-forming systems. In: Kalwis, E., Scheel, H.J. (eds.) Crystal Growth and Materials. North-Holland, Amsterdam (1977)

    Google Scholar 

  34. Gutzow, I.: J. Cryst. Growth 42, 15 (1977)

    Article  ADS  Google Scholar 

  35. Gutzow, I., Konstantinov, I.: Comptes Rend. Acad. Sci. Bulg. 23, 1107 (1970)

    Google Scholar 

  36. Gutzow, I., Pancheva, E.: Krist. Tech. 11, 793 (1976)

    Article  Google Scholar 

  37. Gutzow, I., Toschev, S.: J. Cryst. Growth 7, 215 (1970)

    Article  ADS  Google Scholar 

  38. Gutzow, I., Razpopov, A., Kaischew, R.: Phys. Stat. Solidi a1, 159 (1970)

    Google Scholar 

  39. Gutzow, I., Razpopov, A., Pancheva, E., Kaischew, R.: Krist. Tech. 7, 769 (1972)

    Article  Google Scholar 

  40. Haeckel, E.: Kristallseelen-Studien über das anorganische Leben. A. Kröner-Verlag, Leipzig (1917)

    Google Scholar 

  41. Hillig, W.B.: Acta Met. 14, 1868 (1966)

    Article  Google Scholar 

  42. Hillig, W., Turnbull, D.: J. Chem. Phys. 24, 914 (1956)

    Article  ADS  Google Scholar 

  43. Hirth, J.P.: Acta Met. 7, 755 (1959)

    Article  Google Scholar 

  44. Honigmann, B.: Gleichgewichts- und Wachstumsformen von Kristallen. Steinkopff, Darmstadt (1958)

    Book  Google Scholar 

  45. Jackson, K.A.: Liquid metals and solidification. In: Doremus, R.H., Roberts, B.W., Turnbull, D. (eds.) Normal Mode of Crystal Growth. Growth and Perfection of Crystals, p. 319. Wiley, New York (1958)

    Google Scholar 

  46. Jackson, K.A., Uhlmann, D.R., Hunt, J.D.: J. Cryst. Growth 1, 1 (1967)

    Article  ADS  Google Scholar 

  47. Kaischew, R.: Acta Phys. Hung. 8, 75 (1957)

    Article  Google Scholar 

  48. Kaischew, R.: On the Further Development of the Molecular-Kinetic Theory of Crystal Growth. In: Rost Kristallov, vol. 5. Nauka Publishers, Moscow (1965, in Russian)

    Google Scholar 

  49. Kaischew, R.: J. Cryst. Growth 51, 643 (1981)

    Article  ADS  Google Scholar 

  50. Kaischew, R., Budewski, E.: Contemp. Phys. 8, 489 (1967)

    Article  ADS  Google Scholar 

  51. Kaischew, R., Stranski, I.N.: Z. Phys. Chem. A 170, 295 (1934); B26, 317 (1934)

    Google Scholar 

  52. Kaischew, R., Budewski, E., Malinowski, J.: Z. Phys. Chem. 204, 248 (1955)

    Google Scholar 

  53. Kessler, D.A., Koplik, J., Levine, H.: Adv. Phys. 37, 255 (1988)

    Article  ADS  Google Scholar 

  54. Kittel, C.: Thermal Physics. Wiley, New York (1969)

    Google Scholar 

  55. Knacke, O., Stranski, I.N.: Ergebnisse der exakten Naturwissenschaften 26, 383 (1952)

    Article  Google Scholar 

  56. Kossel, W., Nachrichten Gesellschaft Wiss, p. 135. Göttingen, Math.-Phys. Klasse (1927)

    Google Scholar 

  57. Landau, L.D., Lifschitz, E.M.: Statistische Physik. Akademie-Verlag, Berlin (1969)

    Google Scholar 

  58. Lauritzen, J.I., Hoffman, J.D.: J. Chem. Phys. 31, 1680 (1959)

    Article  ADS  Google Scholar 

  59. Lauritzen, J.I., Hoffman, J.D.: J. Res. Natl. Bur. Stand. 64 a, 73 (1960)

    Google Scholar 

  60. Lyubov, B.Y.: In: Growth and Defects of Metallic Crystals, p. 5. Naukova Dumka Publishers, Kiev (1966, in Russian)

    Google Scholar 

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

    Google Scholar 

  62. Meakin, P.: Fractal Aggregates. Adv. Colloid Interface Sci. 28, 249 (1988)

    Article  Google Scholar 

  63. Meiling, G.S., Uhlmann, D.R.: Phys. Chem. Glass. 8, 62 (1967)

    Google Scholar 

  64. Nanev, C., Kaischew, R.: Kristallwachstum und Kristallgitterstörungen. In: Reinststoffe in Wissenschaft und Technik, Proceedings 3-rd International Symposium, Dresden (1979)

    Google Scholar 

  65. Nanev, C.: Prog. Cryst. Growth Character. 4, 3 (1994)

    Google Scholar 

  66. Nenov, D.: Prog. Cryst. Growth Character. 9, 185 (1984)

    Article  Google Scholar 

  67. Nenov, D., Trayanov, A.: Surf. Sci. 213, 488 (1989)

    Article  ADS  Google Scholar 

  68. Nielsen, E.A.: Kinetics of Precipitation. Pergamon Press, Oxford (1964)

    Google Scholar 

  69. Pamplin, B.R.: Crystal Growth. Pergamon Press, New York (1975)

    Google Scholar 

  70. Preston, E.: J. Soc. Glass Technol. 24, 104, 139 (1940)

    Google Scholar 

  71. Price, F.P.: Mechanism of Polymer Crystallization. In: Zettlemoyer, A.C. (ed.) Nucleation, p. 405. Dekker, New York (1969)

    Google Scholar 

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

    Google Scholar 

  73. Stoyanov, S.: Thin Solid Films 18, 91 (1973)

    Article  ADS  Google Scholar 

  74. Stranski, I.N.: Z. Phys. Chem. 336 A, 259 (1928)

    Google Scholar 

  75. Stricland-Constable, R.F.: Kinetics and Mechanism of Crystallization. Academic, London/New York (1968)

    Google Scholar 

  76. Swift, H.R.: J. Am. Ceram. Soc. 30, 165 (1947)

    Article  Google Scholar 

  77. Tammann, G.: Kristallisieren und Schmelzen. J.A. Barth-Verlag, Leipzig (1903)

    Google Scholar 

  78. Tammann, G.: Die Aggregatzustände. Leopold Voss Verlag, Leipzig (1922)

    Google Scholar 

  79. Temkin, D.E.: In: Sirota, N.N. (ed.) Crystallization and Phase Transitions, p. 249. Academy of Sciences of Belorussia Press, Minsk (1962, in Russian)

    Google Scholar 

  80. Turnbull, D.: Phase Changes. In: Seitz, S., Turnbull, D. (eds.) Solid State Physics, vol. 3, p. 225. Academic Press, New York (1965)

    Google Scholar 

  81. Turnbull, D., Cohen, M.H.: J. Chem. Phys. 29, 1049 (1958)

    Article  ADS  Google Scholar 

  82. 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 

  83. Ubbelohde, A.R.: Melting and Crystal Structure. Clarendon Press, Oxford (1965)

    Google Scholar 

  84. Verma, A.R.: Crystal Growth and Dislocations. Butterworth Science Publishers, London (1953)

    MATH  Google Scholar 

  85. Vergano, P.J., Uhlmann, D.R.: Phys. Chem. Glass. 11, 30, 39 (1970)

    Google Scholar 

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

    Google Scholar 

  87. Volmer, M.: Kinetik der Phasenbildung. Th. Steinkopff, Dresden (1939)

    Google Scholar 

  88. Volmer, M., Marder, M.: Z. Phys. Chem. A 154, 97 (1931)

    Google Scholar 

  89. Wagstaff, F.F.: J. Am. Ceram. Soc. 52, 650 (1969)

    Article  Google Scholar 

  90. Wunderlich, B.: Macromolecular Physics, vol. 1–3. Academic, New York/San Francisco/London (1973, 1976, 1980)

    Google Scholar 

  91. Zschimmer, E., Dietzel, A.: Z. Techn. Phys. 278, 6 (1926)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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). Theory of Crystal Growth and Dissolution in Under-cooled Melts: Basic Approaches. In: The Vitreous State. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34633-0_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34633-0_8

  • 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