ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
The general solution to the scattered electric field time autocorrelation function for a dilute system of cylindrically symmetric, optically anisotropic particles undergoing coupled translational-rotational diffusion is presented. The solution is exact within the Rayleigh–Gans–Debye approximation. The scattered time autocorrelation function is an infinite series of decaying exponentials with time constants τ−1Ms =q2D+[s(s+1)+wMs(γ)−γ/3]aitch-theta⊥, (M=0,1,2; s=0,1,2, ⋅ ⋅ ), containing both translational and rotational diffusion coefficients and spheroidal harmonic eigenvalues. The latter depend on the coupling parameter γ=q2 (ΔD)/(aitch-theta⊥), where ΔD is the anisotropy in the translational diffusion coefficient. The dynamical terms are weighted by structure factors that depend on scattering geometry, the particle geometry, and the coupling parameter. These structure factors are given for arbitrary geometries and polarization of the radiation. In general, the weights for two to six exponentials will be significant depending on the scattering geometry and particle size. The domain of applicability of the theory is also discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.448617
