Under the assumptions that the rectangular approximation to the sector-shaped cell is valid and that both the sedimentation coefficient s and the diffusion coefficient D are independent of concentration, asymptotic solutions to the boundary spreading equation for velocity ultracentrifugation of poly
โฆ LIBER โฆ
Diffusional boundary spreading in the ultracentrifuge
โ Scribed by George H. Weiss; Menachem Dishon
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1970
- Tongue
- English
- Weight
- 371 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0006-3525
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โฆ Synopsis
Abstract
A common approximation for deriving solutions to the Lamm equation is to neglect diffusion. This paper presents a singular perturbation technique that allows one to estimate the band spreading due to nonzero diffusion coefficient. We illustrate the general mathematical technique by its application to sedimentation when pressure effects are important. Comparison of the approximate solution with accurate numerical solutions shows that the relative errors are of the order of 1% both for concentration and concentration gradient for parameters of chemical interest.
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