DOI: 10.1063/1.1701277. Multicomponent Polyelectrolyte Solutions. Part I. Thermodynamic Equations for Light Scattering and Sedimentation

Multicomponent Polyelectrolyte Solutions. Part I. Thermodynamic Equations for Light Scattering and Sedimentation

10.1063/1.1701277

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Equations are derived, in terms of the derivative of the osmotic pressure with respect to concentration, for light scattering and sedimentation (transport and equilibrium) of polyelectrolyte systems comprising a solvent component 1, a macromolecular component 2, and an added simple electrolyte component 3. It is shown by thermodynamic arguments that, when suitable restrictions are applied to the chemical potential of component 3, the equations for the three-component systems become formally identical with the equations for two-component systems. A striking similarity is achieved between the equations for light scattering and sedimentation, by direct use in the latter of the derivative of the solution density with respect to concentration, instead of the more familiar buoyancy terms. The extension of the equations to more than one supporting electrolyte is immediate, and the extension to a macromolecular component inhomogeneous with respect to molecular weight may be achieved by known methods.

Bibliography

Eisenberg, H. (1962). Multicomponent Polyelectrolyte Solutions. Part I. Thermodynamic Equations for Light Scattering and Sedimentation. The Journal of Chemical Physics, 36(7), 1837â1843.

Authors 1

Henryk Eisenberg (first)

References 21 Referenced 70

10.1021/j100835a011 / J. Phys. Chem. (1960)
10.1021/j100821a010 / J. Phys. Chem. (1961)
10.1002/pol.1960.1204714904 / J. Polymer Sci. (1960)
{'key': '2024020820364461900_r4'}
{'key': '2024020820364461900_r5'}
10.1063/1.1747322 / J. Chem. Phys. (1949)
10.1063/1.1747456 / J. Chem. Phys. (1950)
10.1063/1.1747457 / J. Chem. Phys. (1950)
{'key': '2024020820364461900_r9'}
{'key': '2024020820364461900_r10'}
{'key': '2024020820364461900_r11'}
10.1021/j150503a014 / J. Phys. Chem. (1953)
{'key': '2024020820364461900_r13'}
10.1016/S0031-8914(56)90026-X / Physica (1956)
{'key': '2024020820364461900_r15'}
10.1063/1.1700380 / J. Chem. Phys. (1952)
10.1002/macp.1959.020340105 / Makromol. Chem. (1959)
10.1021/j150571a022 / J. Phys. Chem. (1959)
10.1063/1.1729949 / J. Chem. Phys. (1959)
{'key': '2024020820364461900_r20'}
10.1021/j150549a004 / J. Phys. Chem. (1957)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 10:19 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 3:36 p.m.)
Indexed	1 year, 6 months ago (Feb. 8, 2024, 9:41 p.m.)
Issued	63 years, 4 months ago (April 1, 1962)
Published	63 years, 4 months ago (April 1, 1962)
Published Print	63 years, 4 months ago (April 1, 1962)

Funders 0

None

BibTeX

@article{Eisenberg_1962, title={Multicomponent Polyelectrolyte Solutions. Part I. Thermodynamic Equations for Light Scattering and Sedimentation}, volume={36}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1701277}, DOI={10.1063/1.1701277}, number={7}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Eisenberg, Henryk}, year={1962}, month=apr, pages={1837–1843} }

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