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Equilibrium Bicontinuous Structures

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Abstract

For certain ranges of phase-volume ratio, there are two-phase structures in which both phases are continuous and interfacial area is less than in dispersions of globular units having the same volume ratio and average repeat distance. Included are bicontinuous structures defined by multiply connected minimal surfaces of very high genus and everywhere saddleshaped.

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References

  1. P. A. Winsor, Chem. Rev. 68, 1 (1968).

    Article  CAS  Google Scholar 

  2. P. Ekwall, L. Mandell and K. Fontell, in “Proc. Fifth Internat. Congr. on Surface Active Substances,” 443–453, Ediciones Unidas, Barcelona, 1968.

    Google Scholar 

  3. P. A. Winsor, in “Liquid Crystals and Plastic Crystals,” Vol. 1, G. W. Gray and P. A. Winsor, Editors, Ch. 5, pp. 199–287, Ellis Horwood Ltd., Chichester, 1974.

    Google Scholar 

  4. P. Ekwall, Adv. Liq. Cryst. 1, 1 (1975).

    CAS  Google Scholar 

  5. I. F. Efremov, in “Surface and Colloid Science,” E. Matijevie, Editor, Vol. 8, Ch. 2, pp. 85–192, Wiley-Interscience, New York, 1976.

    Google Scholar 

  6. E. E. Underwood, “Quantitative Stereology,” Addison-Wesley, Reading, Mass. (1970).

    Google Scholar 

  7. P. F. James, J. Materials Sci. 10, 1802 (1975).

    Article  CAS  Google Scholar 

  8. L. P. McMaster, in “Copolymers, Polyblends and Composites,” N.A.J. Platzer, Editor, Ch. 5, pp. 43–65, Adv. Chem. Ser. No. 142, American Chemical Society, Washington, D. C., 1975.

    Google Scholar 

  9. J. W. Cahn, J. Chem. Phys. 42, 93 (1965).

    Article  CAS  Google Scholar 

  10. J. S. Langer, in “Fluctuations, Instabilities and Phase Transitions,” T. Riste, Editor, pp. 19–42, Plenum Press, New York, 1975.

    Google Scholar 

  11. R. E. Kesting, “Preprints. Amer. Chem. Soc. Div. Org. Coatings,” 34 (No. 1), 553 (1974).

    CAS  Google Scholar 

  12. A. Tardieu and V. Luzzati, Biochim. Biophys. Acta 219, 11 (1970).

    Article  CAS  Google Scholar 

  13. K. Fontell, J. Colloid Interface Sci. 43, 156 (1973).

    Article  CAS  Google Scholar 

  14. K. Shinoda and S. Friberg, Adv. Colloid Interface Sci. 4, 281 (1975).

    Article  CAS  Google Scholar 

  15. R. N. Healy, R. L. Reed and D. G. Stenmark, Soc. Pet. Eng. Journ. 16, 147 (1976).

    CAS  Google Scholar 

  16. M. L. Robbins, Soc. Pet. Engrs., Paper No. 5839, preprinted and presented at Tulsa, OK, 24 March 1976.

    Google Scholar 

  17. L. E. Scriven, Nature 263, 123 (1976).

    Article  CAS  Google Scholar 

  18. H. A. Schwarz, “Gesammelte Mathematische Abhandlung,” Vol. 1, pp. 6–125, Springer, Berlin, 1890.

    Google Scholar 

  19. E. R. Neovius, “Bestimmung zweier speziellen periodischen Minimalflächen,” J. C. Frenkel, Helsingfors, 1883.

    Google Scholar 

  20. J. C. C. Nitsche, “Vorlesungen über Minimalflächen,” Springer-Verlag, Berlin, 1975.

    Google Scholar 

  21. A. H. Schoen, Nat. Aero. Space Adm. Tech. Note D5541 (1970).

    Google Scholar 

  22. W. Thomson (Kelvin), Acta Math. 11, 121 (1887–1888).

    Google Scholar 

  23. V. Bongiorno, L. E. Scriven and H. T. Davis, J. Colloid Interface Sci., in press (1976).

    Google Scholar 

  24. V. Bongiorno, L. E. Scriven and H. T. Davis, (1976) J. Colloid Interface Sci., to be submitted.

    Google Scholar 

  25. E. Kreyszig, “Differential Geometry,” Univ. of Toronto Press, 1959.

    Google Scholar 

  26. K. Fontell, J. Colloid Interface Sci. 44, 318 (1973).

    Article  CAS  Google Scholar 

  27. D. R. Anderson, M. S. Bidner, H. T. Davis, C. D. Manning and L. E. Scriven, Soc. Pet. Engrs., Paper No. 5811, preprinted and presented at Tulsa, OK, 24 March 1976.

    Google Scholar 

  28. Fontell, K., in “Colloidal Dispersions and Micellar Behavior,” K. L. Mittal, Editor, pp. 270–277, ACS Symp. Ser. No. 9, American Chemical Society, Washington, D. C., 1975.

    Google Scholar 

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© 1977 Plenum Press, New York

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Scriven, L.E. (1977). Equilibrium Bicontinuous Structures. In: Mittal, K.L. (eds) Micellization, Solubilization, and Microemulsions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4157-4_23

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  • DOI: https://doi.org/10.1007/978-1-4613-4157-4_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4159-8

  • Online ISBN: 978-1-4613-4157-4

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