Charge renormalization, osmostic pressure, and bulk modulus of colloidal crystals: Theory

S. Alexander, P. M. Chaikin, P. Grant, G. J. Morales, P. Pincus, D. Hone

    Research output: Contribution to journalArticle

    Abstract

    The interactions between charged colloidal particles with sufficient strength to cause crystallization are shown to be describable in terms of the usual Debye-Huckel approximation, but with a renormalized charge. The effective charge in general is smaller than the actual charge. We calculate the relationship between the actual charge and the renormalized charge by solving the Boltzmann-Poisson equation numerically in a spherical Wigner-Seitz cell. We then relate the numerical solutions and the effective charge to the osmotic pressure and the bulk modulus of the crystal. Our calculations also reveal that the renormalization of the added electrolyte concentration is negligible, so that the effective charge computations are useful even in the presence of salts.

    Original languageEnglish (US)
    Pages (from-to)5776-5781
    Number of pages6
    JournalThe Journal of Chemical Physics
    Volume80
    Issue number11
    DOIs
    StatePublished - Jan 1 1984

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Physical and Theoretical Chemistry

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  • Cite this

    Alexander, S., Chaikin, P. M., Grant, P., Morales, G. J., Pincus, P., & Hone, D. (1984). Charge renormalization, osmostic pressure, and bulk modulus of colloidal crystals: Theory. The Journal of Chemical Physics, 80(11), 5776-5781. https://doi.org/10.1063/1.446600