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Self-consistent molecular field theory for packing in classical liquids.

Lawrence R Pratt1, Henry S Ashbaugh

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

This study introduces a new molecular field theory for liquid packing problems. The theory accurately predicts excess chemical potential in hard sphere fluids, offering a simpler approach for complex solutions.

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Area of Science:

  • Physical Chemistry
  • Statistical Mechanics
  • Thermodynamics

Background:

  • Classical liquids exhibit complex packing behaviors.
  • Understanding excess chemical potential is crucial for solution theory.
  • Existing theories have limitations in describing packing phenomena.

Purpose of the Study:

  • To develop a self-consistent molecular field theory for packing problems in classical liquids.
  • To test the theory's predictions for the excess chemical potential of hard sphere fluids.
  • To provide a molecular-scale basis for describing complex solutions.

Main Methods:

  • Utilizing a quasichemical formulation of solution theory.
  • Developing a self-consistent molecular field theory.
  • Calculating self-consistent molecular fields and occupancy probabilities.

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Main Results:

  • The proposed theory accurately predicts excess chemical potential for hard sphere fluids, comparable to scaled particle theory.
  • Obtained results for self-consistent molecular fields and molecular observation volume occupancy probabilities.
  • Derived a compact formula for chemical potential variation with solute radius in general solvents.

Conclusions:

  • The new theory offers a simple and effective method for understanding packing in classical liquids.
  • The approach naturally describes potential multiphasic behavior in solutions.
  • It provides a foundation for molecular-scale descriptions of more complex solution systems.