On the theory of light scattering in molecular liquids |
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Authors: | A Latz M Letz |
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Institution: | Institut für Physik, Johannes-Gutenberg Universit?t, 55099 Mainz, Germany, DE
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Abstract: | The theory of light scattering for a system of linear molecules with anisotropic polarizabilities is considered. As a starting
point for our theory, we express the result of a scattering experiment in VV and VH symmetry as dynamic correlation functions
of tensorial densities ρ
lm(q) with l = 0 and l = 2. l, m denote indices of spherical harmonics. To account for all observed hydrodynamic singularities, a generalization of the theory
of Schilling and Scheidsteger 1] for these correlation functions is presented, which is capable to describe the light scattering
experiments from the liquid regime to the glassy state. As a microscopic theory it fulfills all sum rules contrary to previous
phenomenological theories. We emphasize the importance of the helicity index m for the microscopic theory by showing, that only the existence of m = 1 components lead to the well known Rytov dip in liquids and to the appearance of transversal sound waves in VH symmetry
in the deeply supercooled liquid and the glass. Exact expressions for the phenomenological frequency dependent rotation translation
coupling coefficients of previous theories are derived.
Received 3 July 2000 and Received in final form 7 November 2000 |
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Keywords: | PACS 64 70 Pf Glass transitions – 78 35 +c Brillouin and Rayleigh scattering other light scattering – 64 70 Dv Solid-liquid transitions – 61 25 Em Molecular liquids |
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