Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-07T11:25:23.826Z Has data issue: false hasContentIssue false
  • English
  • Français

The Stability of Crystal Lattices

V. Experimental Evidence on Recent Theories of the Equation of State and the Melting of Solids

Published online by Cambridge University Press:  24 October 2008

R. Fürth
R. Fürth
Affiliation:
The UniversityEdinburgh
Get access Rights & Permissions [Opens in a new window]

Extract

A short survey of Born's theory of the thermodynamics and melting of crystals is given. It is shown that Lindemann's and Grüneisen's law for the normal melting temperature can be deduced from this theory, and that the dependence of the melting temperature on pressure, and of the compressibility and the elastic constants on pressure and temperature, as predicted by the theory, are in good agreement with experiment. Several connexions between breaking and melting, suggested by the fundamental ideas on melting and stability of crystals, are discussed and verified. Finally a relation between the heat of melting and the heat of sublimation is deduced and compared with experiment.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 1 , January 1941 , pp. 34 - 54
Copyright
Copyright © Cambridge Philosophical Society 1941

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Born, M.J. Chem. Phys. 7 (1939), 591.CrossRefGoogle Scholar
(2)Lindemann, F. A.Phys. Z. 11 (1910), 609.Google Scholar
(3)Blom, C. E.Ann. Phys., Lpz., 42 (1913), 1397.CrossRefGoogle Scholar
(4)Grüneisen, E.Ann. Phys., Lpz., 39 (1912), 257.CrossRefGoogle Scholar
(5)Grüneisen, E.Ann. Phys., Lpz., 55 (1918), 371; 58 (1919), 753.CrossRefGoogle Scholar
(6)Landolt-Börnstein, . Physikalisch-chemische Tabellen.Google Scholar
(7)Grüneisen, E.Ann. Phys., Lpz., 33 (1910), 33.CrossRefGoogle Scholar
(8)Mie, G.Ann. Phys., Lpz., 11 (1903), 682.Google Scholar
Blackmann, Ph.J. Phys. Chem. 15 (1911), 874.CrossRefGoogle Scholar
(9)Grüneisen, E.Ann. Phys., Lpz., 26 (1908), 398.Google Scholar
(10)Einstein, A.Ann. Phys., Lpz., 34 (1911), 170.CrossRefGoogle Scholar
(11)Einstein, A.Ann. Phys., Lpz., 35 (1911), 687.Google Scholar
(12)Simon, F., Ruhemann, M. and Edwards, W. A. M.Z. Phys. Chem. B, 2 (1929), 340; 6 (1929), 62; 6 (1930), 331.CrossRefGoogle Scholar
(13)Bridgman, P. W.Phys. Rev. 46 (1934), 930.CrossRefGoogle Scholar
(14)Born, M.Proc. Cambridge Phil. Soc. 36 (1940), 160.CrossRefGoogle Scholar
(15)Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 173.CrossRefGoogle Scholar
(16)Simon, F.Z. Elektrochem. 35 (1929), 618; Trans. Faraday Soc. 33 (1937), 65.Google Scholar
(17)Simon, F. and Steckel, F.Z. Phys. Chem., Bodenstein-Festband (1931), 737.CrossRefGoogle Scholar
(18)Grüneisen, E.Handbuch der Physik (Berlin, 1926), vol. 10, pp. 33 ff.Google Scholar
(19)Grüneisen, E.Ann. Phys., Lpz., 33 (1910), 1239; Verh. D. Phys. Ges. 13 (1911), 491.CrossRefGoogle Scholar
(20)Bridgman, P. W.Proc. Amer. Acad. Arts Sci. 58 (1923), 163; 59 (1923), 107; 62 (1927), 207; 64 (1928), 51; 68 (1933), 27.Google Scholar
(21)Schäfer, C.Ann. Phys., Lpz., 5 (1901), 220.CrossRefGoogle Scholar
(22)Goens, E.Ann. Phys., Lpz., 4 (1930), 733.CrossRefGoogle Scholar
(23)Balamuth, L.Phys. Rev. 45 (1934), 715; 46 (1934), 933.CrossRefGoogle Scholar
(24)Rose, F. C.Phys. Rev. 49 (1936), 50.CrossRefGoogle Scholar
Durand, M. A.Phys. Rev. 50 (1936), 449.CrossRefGoogle Scholar
(25)Born, M. and Fürth, R.Proc. Cambridge Phil. Soc. 36 (1940), 454.CrossRefGoogle Scholar
(26)Fürth, R. (In the Press.)Google Scholar
(27)Fürth, R.Nature, Lond., 145 (1940), 741.CrossRefGoogle Scholar
(28)Richards, Th. W.J. Amer. Chem. Soc. 37 (1915), 1652.Google Scholar
(29)Eyring, H. and Hirschfelder, J. O.J. Phys. Chem. 41 (1937), 249.CrossRefGoogle Scholar
Kincaid, J. F. and Eyring, H.J. Chem. Phys. 5 (1937), 587.CrossRefGoogle Scholar
Hirschfelder, J. O., Stevenson, D. P. and Eyring, H.J. Chem. Phys. 5 (1937), 896.CrossRefGoogle Scholar
(30)Gurney, R. W. and Mott, N. F.J. Chem. Phys. 5 (1938), 322.Google Scholar
(31)Fürth, R., Ornstein, L. S. and Milatz, J. M. W.Proc. Amst. Acad. Sci. 42 (1939), 107.Google Scholar
Fürth, R.Proc. Phys. Soc. (In the Press.)Google Scholar
(32)Harasima, A.Proc. Phys.-Math. Soc. Japan, 3rd ser. 20 (1938), 850.Google Scholar