Elementary Lectures in Statistical Mechanics pp 375-387 | Cite as
Scattering of Light, Neutrons, X-Rays, and Other Radiation
Abstract
Since the middle of the twentieth century, the study of fluids using scattering of light, neutrons, and X-rays has been a major tool of experimental statistical mechanics [1]. In addition to simple scattering experiments, a variety of related experimental methods such as fluorescence recovery after photobleaching [2], fluorescence correlation spectroscopy [3],[4], and diffusing wave spectroscopy [5] provide information on static and dynamic properties of liquids, gases, and complex fluids. This section treats the simplest of these techniques, in which visible light is scattered quasi-elasticallyby a nearly transparent sample. Many other scattering techniques are described theoretically by modifying or elaborating the treatment below.
Keywords
Scattered Field Fluorescence Correlation Spectroscopy Time Correlation Function Distinct Term Diffuse Wave SpectroscopyPreview
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References
- [1]S.-H. Chen and S. Yip, Spectroscopy in Biology and Chemistry—Neutron, X-ray, Laseri Academic Press, New York (1974); R. Pecora, Ed. Dynamic Light Scattering, Plenum, New York (1985); S. E. Harding, D. B. Sattelle, and V. A. Bloomfield, Laser Light Scattering in Biochemistry, Royal Society of Chemistry, Cambridge (1992), D. E. Dahneke, Ed. Measurement of Suspended Particles by Quasi-Elastic Light Scattering, Wiley-Interscience, New York (1982); B. Chu, Laser Light Scattering, Academic Press, San Diego (1991).Google Scholar
- [2]For recent papers using the technique, consider I. H. Park, C. S. Johnson, Jr., and D. A. Gabriel, Macromolecules 23, 1548 (1990); Z. Bu and P. Russo, Macromolecules 27, 1187(1994).ADSCrossRefGoogle Scholar
- [3]E. L. Elson and D. Magde, Biopolymers 13, 1 (1974); D. Magde, E. L. Elson, and W. W. Webb, Biopolymers 13,29 (1974).CrossRefGoogle Scholar
- [4]G. D. J. Phillies, Biopolymers 14, 499 (1975). My prediction that the same experiment apparatus will yield both the mutual and the self-diffusion coefficient, if the labeling fraction of the solute is varied, has recently been confirmed.CrossRefGoogle Scholar
- [5]X. Qiu, X. L. Wu, J. L. Xue, D. J. Pine, D. A. Weitz, and P. M. Chaikin, Phys. Rev. Lett. 65, 516 (1990).ADSCrossRefGoogle Scholar
- [6]G. B. Benedek, in M. Chretien, E. P. Gross, and S. Deser, Eds., in Brandeis Summer Institute in Theoretical Physics, 1966, Vol. 2, Gordon & Breach, New York (1968), pp. 1–98.Google Scholar
- [7]A. Einstein Arch. Sci. Phys. Natur. 37, Ser. 4, 254 (1914). Einstein specifically proposed using a mechanical integrator to evaluate the power spectrum of a random signal.Google Scholar
- [8]N. Wiener, Acta Math. 55, 117 (1930).MathSciNetMATHCrossRefGoogle Scholar
- [9]A. Khintchine, Math. Ann. 109, 604 (1934).MathSciNetCrossRefGoogle Scholar
- [10]A. M. Yaglom, IEEE ASSP Magazine, October 1987, p. 7 [translated from A. M. Yaglom, Problemy Peredachi Informatsii21, 101 (1985)] gives a detailed history of the relationships between the Einstein and Wiener-Khintchine results. I thank the late Professor E. L. O’Neill for calling my attention to the Yaglom paper. [11] B. Crosignani, P. Di Porto, and M. Bertolotti, Statistical Properties of Scattered Light, Academic Press, New York (1975). The discussion of multidetector experiments is perhaps overly pessimistic, as witness more recent experiment tools including the two-detector homodyne coincidence technique (G. D. J. Phillies, J. Chem. Phys.74, 260 (1981); Phys. Rev. A 2A, 1939 (1981)), the three-detector heterodyne coincidence technique (G. D. J. Phillies, Molecular Physics, 32, 1695 (1976)), and the single-detector many-scattering-event diffusing wave technique [5]. [12] R. D. Mountain and J. M. Deutch, J. Chem. Phys.50, 1103 (1976).Google Scholar