DOI: 10.1063/1.432664. Diffusion of spherical macromolecules at finite concentration

Diffusion of spherical macromolecules at finite concentration

10.1063/1.432664

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

An expression for the concentration-dependent diffusion coefficient is derived which accounts for both hydrodynamic and long-range potential interactions between rigid spherical macromolecules in solution. A self-consistent field approach is taken, based on the Smoluchowski equation for a single Brownian particle in an external force field. The external force contribution to particle flux is replaced by a configurational average which includes the effects of both interparticle forces and hydrodynamic friction for each configuration; this term gives rise to a concentration-gradient-induced migration. The purely diffusive contribution to particle flux is computed from an analysis of two-particle viscous interactions assuming uncoupled pressure fluctuations on each particle. Since only binary hydrodynamic interactions between particles are considered, the resulting expression for the diffusion coefficient is valid only to order φ, the volume fraction of particles in the solution. This expression is evaluated for several types of interparticle potentials. For the hard sphere case, these calculations show fair agreement with published experimental data for diffusion at finite concentrations. The model predicts that tracer and mutual diffusion coefficients for hard spheres should be equal, in agreement with these data. The general relation between diffusivity and particle concentration derived here differs from the classical one, which views the driving force as the gradient in chemical potential. The difference is due to the manner in which the hydrodynamic interactions are averaged.

Bibliography

Anderson, J. L., & Reed, C. C. (1976). Diffusion of spherical macromolecules at finite concentration. The Journal of Chemical Physics, 64(8), 3240â3250.

Authors 2

John L. Anderson (first)
C. Christopher Reed (additional)

References 27 Referenced 87

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{'key': '2024020914011858200_r3'}
{'key': '2024020914011858200_r4', 'first-page': '270', 'volume': '1', 'year': '1955', 'journal-title': 'A.I.Ch.E.J.'} / A.I.Ch.E.J. (1955)
{'key': '2024020914011858200_r5'}
10.1103/PhysRevA.3.1394 / Phys. Rev. A (1971)
10.1063/1.1679109 / J. Chem. Phys. (1973)
10.1063/1.1679222 / J. Chem. Phys. (1973)
10.1021/i160048a020 / Ind. Eng. Chem. Fundam. (1973)
10.1063/1.1681177 / J. Chem. Phys. (1974)
10.1063/1.1678535 / J. Chem. Phys. (1972)
10.1063/1.1680268 / J. Chem. Phys. (1973)
{'key': '2024020914011858200_r13'}
{'key': '2024020914011858200_r14'}
{'key': '2024020914011858200_r15'}
{'key': '2024020914011858200_r16'}
{'key': '2024020914011858200_r17'}
10.1007/BF00413056 / Appl. Sci. Res. (1973)
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10.1017/S0022112072001399 / J. Fluid Mech. (1972)
{'key': '2024020914011858200_r21'}
10.1016/0009-2509(69)87020-X / Chem. Eng. Sci. (1969)
10.1016/0021-9797(70)90008-1 / J. Colloid Interface Sci. (1970)
10.1021/bi00713a024 / Biochemistry (1974)
{'key': '2024020914011858200_r25'}
10.1021/j100673a015 / J. Phys. Chem. (1971)
10.1021/ja01112a008 / J. Am. Chem. Soc. (1953)

Dates

Type	When
Created	22 years, 6 months ago (Feb. 27, 2003, 5:10 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 9:47 a.m.)
Indexed	1 year, 6 months ago (Feb. 9, 2024, 11:03 p.m.)
Issued	49 years, 4 months ago (April 15, 1976)
Published	49 years, 4 months ago (April 15, 1976)
Published Print	49 years, 4 months ago (April 15, 1976)

Funders 0

None

BibTeX

@article{Anderson_1976, title={Diffusion of spherical macromolecules at finite concentration}, volume={64}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.432664}, DOI={10.1063/1.432664}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Anderson, John L. and Reed, C. Christopher}, year={1976}, month=apr, pages={3240–3250} }

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