Freezing of Colloidal Crystals

S. Alexander, P. M. Chaikin, Daniel Hone, P. A. Pincus, D. W. Schaefer

    Research output: Contribution to journalArticle

    Abstract

    We reformulate the Kirkwood-Ramakrishnan-Yussouff theory of freezing into the standard mean field structure of phase transition theory. This approach is then applied to the order-disorder transition in colloidal crystals, where one is dealing with purely repulsive electrostatic interactions. The results are shown to be: 1) roughly consistent with the form of the Lindemann criterion; 2) consistent with the Alexander-McTague condition for freezing into a bcc structure; 3) in close quantitative agreement with recent molecular dynamics calculations.

    Original languageEnglish (US)
    Pages (from-to)207-226
    Number of pages20
    JournalPhysics and Chemistry of Liquids
    Volume18
    Issue number3
    DOIs
    StatePublished - Sep 1 1988

    Fingerprint

    Freezing
    freezing
    Crystals
    Order disorder transitions
    Coulomb interactions
    crystals
    Molecular dynamics
    Phase transitions
    disorders
    electrostatics
    molecular dynamics
    interactions

    Keywords

    • mean field theory
    • Screened Coulomb interaction

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics
    • Physical and Theoretical Chemistry
    • Materials Chemistry

    Cite this

    Alexander, S., Chaikin, P. M., Hone, D., Pincus, P. A., & Schaefer, D. W. (1988). Freezing of Colloidal Crystals. Physics and Chemistry of Liquids, 18(3), 207-226. https://doi.org/10.1080/00319108808078595

    Freezing of Colloidal Crystals. / Alexander, S.; Chaikin, P. M.; Hone, Daniel; Pincus, P. A.; Schaefer, D. W.

    In: Physics and Chemistry of Liquids, Vol. 18, No. 3, 01.09.1988, p. 207-226.

    Research output: Contribution to journalArticle

    Alexander, S, Chaikin, PM, Hone, D, Pincus, PA & Schaefer, DW 1988, 'Freezing of Colloidal Crystals', Physics and Chemistry of Liquids, vol. 18, no. 3, pp. 207-226. https://doi.org/10.1080/00319108808078595
    Alexander S, Chaikin PM, Hone D, Pincus PA, Schaefer DW. Freezing of Colloidal Crystals. Physics and Chemistry of Liquids. 1988 Sep 1;18(3):207-226. https://doi.org/10.1080/00319108808078595
    Alexander, S. ; Chaikin, P. M. ; Hone, Daniel ; Pincus, P. A. ; Schaefer, D. W. / Freezing of Colloidal Crystals. In: Physics and Chemistry of Liquids. 1988 ; Vol. 18, No. 3. pp. 207-226.
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