DOI: 10.1063/1.443741. On the virial equation for the osmotic pressure of linear polyelectrolytes

On the virial equation for the osmotic pressure of linear polyelectrolytes

10.1063/1.443741

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The paper discusses the virial equation for the osmotic pressure of a polyelectrolyte solution. The formal relationship between the osmotic coefficient and distribution functions can be straightforwardly integrated if the correlation between simple ions is neglected. This assumption is proved to be equivalent to the approximation inherent in the Poisson–Boltzmann equation. In the resulting expression, the osmotic coefficient is determined by the concentration of the counterions adjacent to the polyion. In addition, the counterion–counterion contribution to the osmotic coefficient is found to be independent of the polyelectrolyte concentration, and equal to λ/2. The comparison with the Monte Carlo calculations yields the conclusion that the Poisson–Boltzmann equation overestimates the counterion–counterion, and underestimates the counterion–polyion contribution to the osmotic coefficient.

Bibliography

Vlachy, V. (1982). On the virial equation for the osmotic pressure of linear polyelectrolytes. The Journal of Chemical Physics, 77(11), 5823â5825.

Authors 1

V. Vlachy (first)

References 17 Referenced 12

10.1002/pol.1954.120136804 / J. Polym. Sci. (1954)
10.1063/1.1742191 / J. Chem. Phys. (1955)
10.1063/1.442575 / J. Chem. Phys. (1981)
10.1063/1.440900 / J. Chem. Phys. (1981)
10.1073/pnas.37.9.579 / Proc. Natl. Acad. Sci. U.S.A. (1951)
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{'key': '2024020923043784600_r7'}
10.1016/0301-4622(80)80009-3 / Biophys. Chem. (1980)
10.1063/1.437340 / J. Chem. Phys. (1979)
10.1021/j100454a014 / J. Phys. Chem. (1980)
{'key': '2024020923043784600_r11'}
10.1063/1.1672157 / J. Chem. Phys. (1969)
10.1063/1.1676941 / J. Chem. Phys. (1972)
10.1063/1.1678026 / J. Chem. Phys. (1972)
10.1063/1.443174 / J. Chem. Phys. (1982)
{'key': '2024020923043784600_r15'}
{'key': '2024020923043784600_r16'}

Dates

Type	When
Created	22 years, 5 months ago (Feb. 28, 2003, 11:32 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 7:37 p.m.)
Indexed	1 year, 4 months ago (April 1, 2024, 10:35 a.m.)
Issued	42 years, 8 months ago (Dec. 1, 1982)
Published	42 years, 8 months ago (Dec. 1, 1982)
Published Print	42 years, 8 months ago (Dec. 1, 1982)

Funders 0

None

BibTeX

@article{Vlachy_1982, title={On the virial equation for the osmotic pressure of linear polyelectrolytes}, volume={77}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.443741}, DOI={10.1063/1.443741}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Vlachy, V.}, year={1982}, month=dec, pages={5823–5825} }

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