Raman scattering by high-density dispersions. III. Calculation of Raman intensities for molecules physisorbed on linear chains of spherical particles

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Abstract
In parts I and II of this series, the dominant role of ‘‘primary’’ Raman moments of degree greater than one, to Raman intensities for molecules forming a uniform coating on pairs of spherical particles in close proximity, is demonstrated. In this paper, the effect of chain length, coverage, particle size, and separation, and the location of the particle in the chain on the intensity are explored for linear chains of coated particles. Intensity enhancements calculated for visible excitation are up to 30 times those for two particles, being ∼4×106 for infinite chains of silver particles of radius 25–50 Å separated by the thickness of a layer of CO ∼105 for platinum and ∼104 for germanium chains. Furthermore, the enhancement for chains falls off appreciably more slowly with particle separation. Graphs of intensity vs coverage vary greatly in shape depending on particle size, molecular size, and polarizability.