Freezing of Colloidal Crystals

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

doi:10.1080/00319108808078595

Freezing of Colloidal Crystals

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

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	207-226
Number of pages	20
Journal	Physics and Chemistry of Liquids
Volume	18
Issue number	3
DOIs	https://doi.org/10.1080/00319108808078595
State	Published - Sep 1 1988

Keywords

Screened Coulomb interaction
mean field theory

ASJC Scopus subject areas

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

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10.1080/00319108808078595

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title = "Freezing of Colloidal Crystals",

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.",

keywords = "Screened Coulomb interaction, mean field theory",

author = "S. Alexander and Chaikin, {P. M.} and Daniel Hone and Pincus, {P. A.} and Schaefer, {D. W.}",

note = "Funding Information: Part of this work was done while three of us (SA, PAP and DH) were at the Institute for Theoretical Physics at UCSB,w hich is supported in part by NSF Grant PHY82-17853, supplemented by NASA. For one of us (DWS) the work was performed at Sandia National Laboratories, supported by the U.S. Department of Energy under contract number DE-AC04-76-DP00789. Early stages of the work were also supported in part by NSF Grant DMR80-08004 and ONR Grant NOOO14-76-C-1078.",

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doi = "10.1080/00319108808078595",

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TY - JOUR

T1 - Freezing of Colloidal Crystals

AU - Alexander, S.

AU - Chaikin, P. M.

AU - Hone, Daniel

AU - Pincus, P. A.

AU - Schaefer, D. W.

N1 - Funding Information: Part of this work was done while three of us (SA, PAP and DH) were at the Institute for Theoretical Physics at UCSB,w hich is supported in part by NSF Grant PHY82-17853, supplemented by NASA. For one of us (DWS) the work was performed at Sandia National Laboratories, supported by the U.S. Department of Energy under contract number DE-AC04-76-DP00789. Early stages of the work were also supported in part by NSF Grant DMR80-08004 and ONR Grant NOOO14-76-C-1078.

PY - 1988/9/1

Y1 - 1988/9/1

N2 - 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.

AB - 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.

KW - Screened Coulomb interaction

KW - mean field theory

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EP - 226

JO - Physics and Chemistry of Liquids

JF - Physics and Chemistry of Liquids

IS - 3

ER -

Freezing of Colloidal Crystals

Abstract

Keywords

ASJC Scopus subject areas

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