Abstract
A statistical theory of non-ionic micellar solutions is presented. Using an advanced theory of liquid state it is found that the effect of a three body interaction becomes very large when the attractive well of the two body interaction is narrow and deep as it is the case in micellar solutions. In particular, if the three body interaction is on the average repulsive like the Axilrod-Teller triple dipole interaction the value of the concentration of the critical point can become very small. It is suggested that this is the origin of the small value of the critical concentration found in many micellar solutions. The critical point, the spinodal line and the correlation function of solutions of C8E4 and C12, Eare computed and found in good agreement with experiments for a suitable choice of the three interaction parameters of the model. The two body interaction has a hard sphere term, an attractive term representing dispersion forces, and a repulsive water induced term which is modelled in terms of polarization effects in an Ising model.
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References
See for instance, V. Degiorgio and M. Corti editors,“Physics of Amphiphiles, Micelles, Vesicles and Microemulsions”, North Holland, Amsterdam 1985.
M. Corti and V. Degiorgio, Phys. Rev. Letters 55, 2005 (1985).
R. Kjellander, J. Chem. Soc. Faraday Trans. 2, 78, 2025 (1982).
D. Blanckschtein, G.M. Thurston and G.B. Benedek, Phys. Rev. Lett. 54, 955 (1985).
G.M. Zulauf, K. Weckstrom, J.B. Hayter, V. Degiorgio and M. Corti, J. Phys. Chem. 89, 3411 (1985).
L. Reatto and M. Tau, Chem. Phys. Lett. 108, 1921 (1984).
R.E. Goldstein, J. Chem. Phys. 84, 3367 (1986).
J.B. Hayter and M. Zulauf, Colloid. Polymer Sci. 260, 1023 (1982).
Ci Ej. stands for CH3 (CH2)i-1 (0CH2CH2)j. OH.
P.G. Nilsson and B. Lindman, J. Phys. Chem. 87, 4756 (1983).
A. Meroni, A. Pimpinelli and L. Reatto, to be published.
L. Reatto and M. Tau, Europhys. Lett. 3, 527 (1987) and J. Chem. Phys. 86, 6474 (1987).
B.M. Axilrod and E. Teller, J. Chem. Phys. 11, 299 (1943).
M.E. Fisher and R.J. Burdford, Phys. Rev. 156, 583 (1967).
S. Marcelja and N. Radic, Chem. Phys. Lett. 42, 129 (1976).
See, for instance, V. Degiorgio in ref.(l) p. 303.
Y. Rosenfeld and N.W. Ashcroft, Phys. Rev. A 20, 1208 (1979).
S.M. Foiles, N.W. Ashcroft and L. Reatto, J. Chem. Phys. 80, 4441 (1984).
P. Claesson, R. Kjellander, P. Stenius and H. Christenson, J. Chem. Soc. Faraday Trans. I 82, 2735 (1986).
V. Degiorgio, R. Piazza, M. Corti and C. Minero, J. Chem. Phys. 82, 1025 (1985).
P.D. Poll and N.W. Ashcroft, Phys. Rev. A 32, 1722 (1985).
See, e.g., J.A. Barker and D. Henderson, Rev. Mod. Phys. 48, 587 (1976).
See, for instance, J. Hertz, Physica Scripta T 10, 1 (1985).
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© 1989 Plenum Press, New York
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Reatto, L. (1989). Three Body Forces and the Properties of Nonionic Micellar Solutions. In: Mittal, K.L. (eds) Surfactants in Solution. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7984-7_4
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DOI: https://doi.org/10.1007/978-1-4615-7984-7_4
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