Abstract
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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References
Judd BR (1962) Optical absorption intensities of rare-earth ions. Phys Rev 127:750–761
Ofelt GS (1962) Intensities of crystal spectra of rare-earth ions. J Chem Phys 37:511–520
Kushida T (1973) Energy transfer and cooperative optical transitions in rare-earth doped inorganic materials. I. transition probability calculation. J Phys Soc Jpn 34:1327–1333
Starzak ME (1989) Mathematical methods in chemistry and physics. Plenum Press, New York and London
Hehlen MP, Brik MG, Krämer KW (2013) 50th anniversary of the Judd-Ofelt theory: an experimentalist’s view of the formalism and its application. J Lumin 136:221–239
Malta OL (2008) Mechanisms of non-radiative energy transfer involving lanthanide ions revisited. J Non Cryst Solids 354:4770–4776
Judd BR (2014) Operator techniques in atomic spectroscopy. Princeton University Press, New Jersey
Nielson CW, Koster GF (1963) Spectroscopic coefficients for the pn, dn, and fn configurations. M.I.T. Press
Sakurai JJ, Napolitano J (2011) Modern quantum mechanics 2nd edn. Pearson
Dieke GH, Crosswhite HM, Dunn B (1961) The spectra of the doubly and triply ionized rare earths. Appl Opt 2:675–686
Weber MJ (1967) Probabilities for Radiative and Nonradiative Decay of Er3+ in LaF3. Phys Rev 157:262–272
Dibartolo B (2012) Energy transfer processes in condensed matter. Plenum Press, New York
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Omagari, S. (2019). Theory. In: Energy Transfer Processes in Polynuclear Lanthanide Complexes. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-13-6049-7_2
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DOI: https://doi.org/10.1007/978-981-13-6049-7_2
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