Theory and Experiment of Singlet Excitation Energy Transfer in Mixed Molecular Crystals

Theory and Experiment of Singlet Excitation Energy Transfer in Mixed Molecular Crystals 

For the study of time-resolved processes such as discussed in Chapter 6, but with many strongly coupled states in the manifold ipi, a closed-form solution cannot be carried through analytically and approximate treatments are necessary. This is not the case when solving Equation 6.58 for many states, which can always be integrated by numerical methods. All require modern, high-speed computers for their execution and the development of numerical recipes to handle large determinants. Furthermore, numerical solutions may often be obtained much more easily than closed-form solutions and may be sufficiently accurate, as the physical situation warrants. On the other hand, the closed-form solution given by Equation 6.58 serves as a convenient introduction to pursue much more difficult problems when possible. 

Preliminary to the principal discussion of this section, we shall give a brief review of the experimental system used and the technique of lifetime measurements in high-concentration crystals. 

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