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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

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Published on: May 20, 2014

Second virial coefficient for the dipolar hard sphere fluid.

Douglas Henderson¹

¹Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah 84602, USA. doug@chem.byu.edu

The Journal of Chemical Physics

|August 3, 2011

Summary

We calculated the second virial coefficient for dipolar hard sphere fluids, finding more negative values than previous models. Our advanced method offers greater accuracy for polar fluid calculations.

Area of Science:

Statistical mechanics
Thermodynamics of polar fluids

Background:

The dipolar hard sphere fluid is a key model for understanding polar fluids.
Keesom previously derived a series expansion for the second virial coefficient (B(2)) of this fluid.

Purpose of the Study:

To obtain more complete results for the second virial coefficient (B(2)) of the dipolar hard sphere fluid.
To assess the accuracy of Keesom's previous expansion.

Main Methods:

Utilizing a result by Chan and Henderson for the spherical average of the Boltzmann factor.
Calculating a more complete expression for B(2).

Main Results:

The newly obtained B(2) values are more negative than those predicted by Keesom's series.

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Keesom's expansion demonstrates remarkable accuracy despite its limitations.

Conclusions:

The employed method provides a more comprehensive calculation of B(2) for dipolar hard sphere fluids.
This approach is adaptable for determining the second virial coefficient of related systems like dipolar Lennard-Jones (Stockmayer) and dipolar Yukawa fluids.