2000
DOI: 10.1016/s0009-2614(00)00898-8
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A theoretical study of the energy-transfer process in [Eu⊂bpy.bpy.bpy]3+ cryptates: a ligand-to-metal charge-transfer state?

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Cited by 50 publications
(31 citation statements)
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“…The rate equations associated with the energy-level diagram in Fig. 3 were solved numerically by a fourth-order Runge-Kutta method with an adaptive integration step, where the initial populations of the ground states (F-centre and benzoate) were set to 1/2 and zero for the other states 61 . These equations were propagated up to 0.1 s and the steadystate populations were used as the starting populations for a new propagation to determine the lifetimes 56 .…”
Section: Methodsmentioning
confidence: 99%
“…The rate equations associated with the energy-level diagram in Fig. 3 were solved numerically by a fourth-order Runge-Kutta method with an adaptive integration step, where the initial populations of the ground states (F-centre and benzoate) were set to 1/2 and zero for the other states 61 . These equations were propagated up to 0.1 s and the steadystate populations were used as the starting populations for a new propagation to determine the lifetimes 56 .…”
Section: Methodsmentioning
confidence: 99%
“…A theoretical model to describe the energy transfer processes between the ligands and a lanthanide ion has been developed by Malta and coworkers [11][12][13][14]. From Fermi's golden rule and the Born-Oppenheimer approximation, the energy transfer rate, W ET , can be expressed by…”
Section: Energy Transfer Ratesmentioning
confidence: 99%
“…The temperature-dependent F factor contains a sum over the Franck-Condon factors as described in Refs. [11][12][13][14]20]. It is approximately given by…”
Section: Energy Transfer Ratesmentioning
confidence: 99%
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“…[31] From a theoretical study, the presence of low energy ligand-to-metal charge-transfer excited state (LMCT) resulting in the depopulation of lanthanide excited states has also been proposed to explain the low luminescence quantum yield. [32] Herein, calculations were first performed on these two model compounds employing slightly different theoretical approaches to determine the most suitable model for the systems of interest and to test its reliability. Excited states calculations were done on compound 1b using two types of atomic basis set, the limited 6-31G basis set and the larger 6-31 + G* basis set, and small-core (SC) and large-core (LC) relativistic pseudopotential on europium.…”
Section: Resultsmentioning
confidence: 99%