Abstract
The Frenkel exciton approximation is reviewed and used to calculate the absorption and circular dichroism of large systems composed of weakly-interacting subunits. It is shown that for a system composed of very weakly interacting identical subunits, the lowest-order effect of the interactions is to produce a frequency shift Δω= (l/ħ)tr[ H′A]/[ A] in the absorption maximum. Here H′ is a matrix representing the interactions between the subunits, while A is an “optical matrix” constructed from the positions and transition dipole moments of the subunits. It is also shown that the total circular dichroism cross section for a band of exciton states is approximately proportional to ϱ′(ω))tr[ H′B], where ϱ′(ω) is the derivative of the line-shape function and B is another type of “optical matrix”.
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