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Analysis of Macromolecular Polydispersity in Intensity Correlation Spectroscopy: The Method of Cumulants
Abstract
The first order electric field correlation function of laser light scattered by polydisperse solutions of macromolecules can be written as a sum or distribution of exponentials, with decay rates proportional to the diffusion coefficients of the solute molecules. It is shown that the logarithm of this correlation function is formally equivalent to a cumulant generating function. A method is described by which the distribution function of the decay rates (and thus the extent of polydispersity) can be characterized, in a light scattering experiment, by calculation of the moments or cumulants. The systematic and random statistical errors in the calculated cumulants are discussed.
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Citations
Cited by
Counterion-induced condensation of deoxyribonucleic acid. A light-scattering study
Wilson, R. W., & Bloomfield, V. A. (1979) · Biochemistry · doi:10.1021/bi00578a009 · Cited by 630
Making Sense of Brownian Motion: Colloid Characterization by Dynamic Light Scattering
Hassan, P. A., Rana, S., & Verma, G. (2015) · Langmuir · doi:10.1021/la501789z · Cited by 615
Effect of alcohol on the properties of micellar systems
Zana, R., Yiv, S., Strazielle, C., & Lianos, P. (1981) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(81)90177-6 · Cited by 435
Application of Light Scattering Techniques to Nanoparticle Characterization and Development
Carvalho, P. M., Felício, M. R., Santos, N. C., Gonçalves, S., & Domingues, M. M. (2018) · Frontiers in Chemistry · doi:10.3389/fchem.2018.00237 · Cited by 402
Nayak, D., Ashe, S., Rauta, P. R., Kumari, M., & Nayak, B. (2016) · Materials Science and Engineering: C · doi:10.1016/j.msec.2015.08.022 · Cited by 332
Metadata
- Authors
- Koppel, D. E.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1972-12-01
- Volume
- 57
- Issue
- 11
- Pages
- 4814-4820
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2069520354
- Cited by
- 2,880
- References
- 0
- FWCI
- 17.53
- Type
- journal article
- Language
- en
- Open access
- closed
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