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The Born‐Mayer Model for Ionic Solids and the Heats of Formation and Lattice Spacings of Alkali Halide Solid Solutions
1.W. C. Blasdale, Equilibria in Saturated Salt Solutions (Chemical Catalog Company, New York, 1927), p. 88.
2.W. E. Wallace and M. A. Fineman, Soc. Sci. Fenn. Comm. Phys.‐Math. XIV, 6, 1 (1948).
3.R. Nacken, Sitz. Kgl. Preuss. Akad. Wiss. 192 (1918).
4.H. G. Grimm and K. F. Herzfeld, Zeits. f. Physik. 16, 77 (1923).
5.A. V. Tobolsky, J. Chem. Phys. 10, 187 (1942).
6.G. Bruni, Chem. Rev. 1, 345 (1925).
7.M. A. Fineman and W. E. Wallace, J. Am. Chem. Soc. 70, 4165 (1948).
8.M. Born and J. E. Mayer, Zeits. f. Physik 75, 1 (1932).
9.J. E. Mayer, J. Chem. Phys. 1, 270 (1933);
9.J. E. Mayer, 1, 327 (1933)., J. Chem. Phys.
10.Grimm and Herzfeld have demonstrated that if the energy of a solid solution is at a minimum, Vegard’s Law can be obeyed only if m, the exponent in the repulsion potential, is 2. It is well known that for the salts in Table I m varies between 8 and 10.5. Hence, at the spacings obtained from Vegard’s Law, the solid solutions are not in the equilibrium state. Lattice energies and such as reported in Table I, column 3, correspond to the “Vegard’s law solid solution” and not to the equilibrium state.
11.In the treatment presented in this section the nomenclature of Born and Mayer is employed with appropriate modifications as necessary.
12.M. Von Laue, Ann. d. Physik 78, 167 (1925). See also reference 7.
13.M. L. Huggins and J. E. Mayer, J. Chem. Phys. 1, 642 (1933).
14.Nickels, Fineman, and Wallace, J. Phys. and Colloid Chem. 53, 625 (1949).
15.F. Oberlies, Ann. Physik 87, 238 (1928).
16.Havighurst, Mack, and Blake, J. Am. Chem. Soc. 47, 29 (1925).
17.E. D. Eastman and R. T. Milner, J. Chem. Phys. 1, 444 (1933).
18.This opinion is shared by the present author.
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