- Access by Xinjiang University
Quasi-Chemical Method in the Statistical Theory of Regular Mixtures
Phys. Rev. 76, 972 – Published 1 October, 1949
DOI: https://doi.org/10.1103/PhysRev.76.972
Abstract
The quasi-chemical equations in the statistics of "regular" mixtures are deduced by assuming non-interference among local configurations. This method is capable of yielding higher and higher approximations by choosing a larger group of lattice sites as the local configuration under consideration. The comparative accuracy of different approximations can be judged by a simple criterion. Further applications to ferromagnetism and to the order-disorder transition in alloys, and their results are discussed. Equations for ternary mixtures or mixtures of even more components are given. The asymmetry of solubility of one solute in two immiscible solvents and the order effect of Hg serve as the interesting examples of the ternary case.
References (21)
- J. Hildebrand, J. Am. Chem. Soc. 51, 66 (1929)
- E. A. Guggenheim, Proc. Roy. Soc. A148, 304 (1935) G. S. Rushbrooke, A166, 296 (1938) R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (Cambridge University Press, London, 1939), pp. 351-366
- J. Frenkel, Trans. Faraday Soc. 33, 58 (1937) Bresler, Acta Physicochim. U.R.S.S. 10, 491 (1939)
- T. Alfred and H. Mark, J. Chem. Phys. 10, 303 (1942)
- A. R. Miller, J. Chem. Phys. 15, 513 (1947)
- R. H. Fowler and E. A. Guggenheim, Proc. Roy. Soc. A174, 189 (1940)
- C. N. Yang, J. Chem. Phys. 13, 66 (1945) C. N. Yang and Y. Y. Li, J. Chinese Phys. 7, 59 (1947) Y. Y. Li, J. Chem. Phys. 17, 447 (1949)
Omitted endnote
Omitted endnote
- F. C. Nix and W. Shockley, Rev. Mod. Phys. 10, 1 (1938)
Omitted endnote
Omitted endnote
- R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (Cambridge University Press, London, 1939), pp. 566, 598
- R. Peierls, Proc. Roy. Soc. A154, 207 (1936)
- E. Ising, Zeits. f. Physik 31, 253 (1925)
- J. H. Van Vleck, Electric and Magnetic Susceptibility (Oxford University Press, Teddington, 1932), Chapter XII
- P. R. Weiss, Phys. Rev. 74, 1493 (1948) U. Firgau, Ann. d. Physik 40, 295 (1941)
- F. Bloch, Zeits. f. Physik 61, 206 (1930)
- Urbain, Weiss, and Trombe, Comptes Rendus 200, 2132 (1935)
- E. C. Stoner, Proc. Roy. Soc. A165, 372 (1938)
- J. A. A. Ketelaar, Zeits. f. physik. Chemie 26B, 327 (1934) ibid.30B, 53 (1935)