The upcoming chapters require that the readers have some background in the theory of lanthanide luminescence and the theory of kinetic analysis. The theory of lanthanide luminescence, or the infamous Judd-Ofelt theory, is one of the most critical development in lanthanide physics and chemistry that allowed great advancement in the understanding of lanthanide spectroscopy. Kinetic analysis allows one to model and calculate the dynamics of an interacting system. The powerful method of combining these two theories allows one to simulate the excited state dynamics of interacting multi-lanthanide system that would otherwise be too complicated to discuss. This chapter describes the basic concept of these two theories as well as the implication of the resulting equations.
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