DOI: 10.1063/1.1908765. General methods for free-volume theory

10.1063/1.1908765

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Free-volume theory for understanding depletion phenomena in mixtures of two species is generally derived using scaled-particle theory for those specific entities. Here we first give a general scaled-particle method for convex bodies in terms of the characteristic geometrical measures of the depletion agent, i.e., its volume, surface area, and integrated mean curvature, in mixtures with hard spheres. Second, we show that similar results can be derived from fundamental-measure theory. This different approach allows us to get a deep insight into the meaning of the various contributions to the theory from a geometrical point of view. From these two methods we arrive at a generalized “recipe” to free-volume theory. This recipe can be based on a desired equation of state for any convex shape of the depletion agents and is also valid for (polydisperse) mixtures of those. This is illustrated by mixtures of spheres with ellipsoids, spheres with several geometries as models for disklike mesogens, e.g., gibbsite, as well as depletion of spheres due to bar-shaped colloids, e.g., goethite.

Bibliography

Oversteegen, S. M., & Roth, R. (2005). General methods for free-volume theory. The Journal of Chemical Physics, 122(21).

Authors 2

S. M. Oversteegen (first)
R. Roth (additional)

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Dates

Type	When
Created	20 years, 3 months ago (May 27, 2005, 7:30 p.m.)
Deposited	2 years, 1 month ago (July 30, 2023, 7:37 p.m.)
Indexed	1 month ago (July 30, 2025, 6:45 a.m.)
Issued	20 years, 3 months ago (June 1, 2005)
Published	20 years, 3 months ago (June 1, 2005)
Published Online	20 years, 3 months ago (June 1, 2005)
Published Print	20 years, 3 months ago (June 1, 2005)

Funders 0

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BibTeX

@article{Oversteegen_2005, title={General methods for free-volume theory}, volume={122}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1908765}, DOI={10.1063/1.1908765}, number={21}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Oversteegen, S. M. and Roth, R.}, year={2005}, month=jun }

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