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Thermodynamics of He3 and He4 Solutions above the λ Temperature of Pure He4
1.A. K. Sreedhar and J. G. Daunt, Phys. Rev. 117, 891 (1960).
2.B. N. Eselson and N. G. Berezniak, J. Exptl. Theoret. Phys. (USSR) 30, 628 (1956)
2.[English Transl.: B. N. Eselson and N. G. Berezniak, Soviet Phys.‐JETP 3, 568 (1956)].
3.V. S. Nanda, Phys. Rev. 97, 571 (1955).
4.J. H. Hildebrand, J. Chem. Phys. 15, 225 (1947).
5.G. Scatchard, Chem. Rev. 8, 321 (1931).
5.See also J. H. Hildebrand and R. L. Scott, The Solubility of Nonelectrolytes (Reinhold Publishing Corporation, New York, 1950), Chap. VII.
6.It appears logical that in writing the expression for G we should have assumed that free volumes are in the ratio of partial molar volumes of the components in solution rather than in the ratio of actual molar volume of pure components. The difference in results for the two cases, however, is not expected to be appreciable here.
7.E. A. Guggenheim, Mixtures (Clarendon Press, Oxford, 1952), Chap. IV.
8.In practice γ has numerically a very small value as compared to and [see, for example, J. E. Kilpatric, W. E. Keller, E. F. Hammel, and N. Metropolis, Phys. Rev. 94, 1103 (1954)
8.and W. E. Keller, Phys. Rev. 100, 1021 (1955)] and so terms involving it have negligible effect. For the sake of simplicity we shall take in the sequel.
9.D. H. N. Wansink, Physica 23, 140 (1957).
10.T. R. Roberts and B. K. Swartz, Proceedings of the Second Symposium on Liquid and Solid Helium Three, edited by J. G. Daunt (Ohio State University Press, Columbus, 1960), pp. 158–172.
11.In our calculations we have taken for V its ideal value The error involved in using this instead of the actual value [see E. C. Kerr, Proceedings of the Fifth International Conference on Low Temperature Physics and Chemistry, Madison, Wisconsin, 1957,
11.edited by J. R. Dillinger (The University of Wisconsin Press, Madison, 1958), pp. 158–161] is negligible.
12.Sreedhar and Daunt have carried out a smoothing of their experimental data with respect to temperature. We have carried out a further smoothing of the results thus obtained with respect to concentration.
13.J. E. Kilpatrick, W. E. Keller and E. F. Hammel, Phys. Rev. 97, 9 (1955).
14.E. C. Kerr, Phys. Rev. 96, 551 (1954).
15.W. H. Keesom, Helium (Elsevier Publishing Company, Inc., New York, 1942), p. 207.
16.G. V. Chester, Phys. Rev. 100, 446 (1955).
17.See, for example, J. S. Rowlinson, Liquids and Liquid Mixtures (Academic Press Inc., London, 1959), Chap. IV. We are grateful to the referee for drawing our attention to this reference.
18.Z. Dokoupil, D. G. Kapadnis, K. Sreeramamurty, and K. W. Taconis, Physica 25, 1369 (1959).
19.T. R. Roberts and S. G. Sydoriak, Phys. Rev. 98, 1672 (1955).
20.R. W. Hill and O. V. Lounasmaa, Phil. Mag. 2, 143 (1957).
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