The Thermodynamics of Crystallization Pressure

  • V. Ya. Khaimov-Mal’kov


It has often [1–14] been observed that crystals growing in a medium containing foreign particles repel the particles as well as trap them. Our photographs (Figs. 1, 2, and 3) show such repulsion. Lavalle [4] was the first to notice the effect in 1853, There is as yet no agreement in explanation for the effects, nor is there any agreement In data on the pressures that may occur. Somegive values of 10 kg/cm2 or so [3–5, 10], others only a few g/cm2 [6, 7, 12, 14]. The latter value has been adopted in monographs on crystal growth [13, 15]. These discrepancies have, of course, meant that fundamentally different explanations can be given for the effect. Those who take the pressures to be small explain the effect as a surface interaction (between crystal, melt, and particle). Those who take the pressures to be large relate the repulsion to the energy of the phase change.


Foreign Particle Crystallization Pressure Open Face Covered Face Phase Equilibrium Condition 
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Literature Cited

  1. [1]
    H. Kopp, Ann. Chem. Pharm. 44, 124 (1855).Google Scholar
  2. [2]
    K. Andree, Geolog. Rundschau 3, 7–15 (1912).ADSGoogle Scholar
  3. [3]
    C. Becker and A. Day, Zentralbl. Miner. 337–346, 364–373 (1916).Google Scholar
  4. [4]
    J. Lavalle, Compt. rend. 34, 493 (1853).Google Scholar
  5. [5]
    G. Correns, Sitz. Ber. Preuss. Akad. Wlss. 11 (1926).Google Scholar
  6. [6]
    A. Shubnikov, Z. Krist. 88, 466–469 (1934).Google Scholar
  7. [7]
    A. V. Shubnikov, Trudy Lomonosov Inst, Akad. Nauk SSSR No. 6, 17–21 (1935).Google Scholar
  8. [8]
    C. Benedicks and H. Lofqulst, Nonmetalllc Inclusions In Iron and Steel [Russian translation] (ONTI, 1935).Google Scholar
  9. [9]
    A. A. Bochvar, The Mechanism and Kinetics of Crystallization In Eutectlc-Type Alloys [In Russian] (ONTI, 1935).Google Scholar
  10. [10]
    E. Schell, Z. Metallkunde 27, 4, 76 (1935).Google Scholar
  11. [11]
    C. Correns and W. Steinborn, Z. Krist. A101, 117–133 (1939).Google Scholar
  12. [12]
    I. N. Fridlyander and N. A. Vyostskaya, Doklady Akad. Nauk SSSI 62, 1, 71–3 (1948).Google Scholar
  13. [13]
    V. D. Kuznetsov, Crystals and Crystallization [in Russian] (Moscow, 1954).Google Scholar
  14. [14]
    G. B. Bokil, Trudy Inst. Kristall. Akad. Nauk SSSR No. 5, 143–8 (1949).Google Scholar
  15. [15]
    H. E. Buckley, Crystal Growth [Russian translation] (IL, 1954).Google Scholar
  16. [16]
    J. Thomson, Trans. Roy. Soc. Edinburgh 16, 5, 579–580 (1848–1849).Google Scholar
  17. [17]
    J. W. Gibbs, Thermodynamic Works [Russian translation] (IL, 1950), p. 247.Google Scholar
  18. [18]
    L. Hunter, Phys. Rev. 61, 84–90 (1942).ADSCrossRefGoogle Scholar
  19. [19]
    A. V. Stepanov and N. Eidus, J. Exptl.-Theoret. Phys. (USSR) 29, 669–675 (1955).Google Scholar
  20. [20]
    E. Rlecke, Ann. Phys. und Chemie 34, 731–738 (1895).Google Scholar
  21. [21]
    P. Niggli, Z. anorg. Chemie 107–133 (1915).Google Scholar
  22. [22]
    E. Schmid and W. Boas, Plasticity of Crystals, Especially Metal Ones [Russian translation] (ONTI, 1938), p. 134.Google Scholar
  23. [23]
    C. Lewis and M. Randall, Thermodynamics and the Free Energy of Chemical Substances (1923), p. 271.Google Scholar
  24. [24]
    L. D. Landau and E. M. Lifshits, The Mechanics of Continuous Media [in Russian] (Gostekhizdat, 1953).Google Scholar

Copyright information

© Consultants Bureau, Inc. 1959

Authors and Affiliations

  • V. Ya. Khaimov-Mal’kov

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