Energy Back-Transfer and other Nonradiative Energy-Transfer Processes in Yb[sup 3+], Er[sup 3+]:Y[sub 3]Al[sub 5]O[sub 12]

Abstract

Experimental data from two Yb 3ϩ , Er 3ϩ :yttrium aluminum garnet ͑YAG͒ crystal samples with different doping concentrations were analyzed through the calculation of the exact solution of the general nonradiative energy-transfer master equations. Besides the dipole-dipole direct energy transfer and the dipole-dipole migration processes assumed by other authors to predict the Yb 3ϩ -fluorescence decay, it is shown that a quadrupole-quadrupole direct energy transfer and a dipole-dipole back-transfer process are also present. The used free parameter values predicted our experimental data as well as other experimental data reported in the literature. Further, our modeling also calculates the acceptor transients which were also compared to experimental data. Therefore, the used modeling can be applied to analyze complicated nonradiative energy-transfer processes where traditional models fail.

Nanostructuring the Er–Yb distribution to improve the photoluminescence response of thin films

“…Critical separation values of the order of 1.5 nm have been reported for Yb 3ϩ and Er 3ϩ ions embedded in matrices of different nature. 6,15,16 Nevertheless, Fig. 3 shows that the PL intensity for films with Sϭ3 nm is much higher than that for the reference film doped only with Er, thus an Yb 3ϩ to Er 3ϩ energy transfer might be taking place even for Sϭ3 nm.…”

Down‐Shifting and Up‐Conversion Spectroscopic Properties of (Ca,Mg)3(VO4)2:Yb3+,Eu3+ Phosphors

“…For a multipolar interaction, the energy transfer probability P ET to an acceptor at a distance R from the donor can be expressed in a general way aswhere k r0 is the radiative emission rate of the donor in the absence of the acceptor; n = 6, 8, and 10 corresponds to d–d, d–q and q–q interactions, respectively, and R 0 is the critical distance which is independent of the interaction type according to Blasse's approximation . Generally, the q–q interaction is the weakest one among d–d, d–q, and q–q interactions because k r0 of an electric quadrupole transition is about 10 −6 times that of an electric dipole transition and the q–q interaction has highest order exponent of R in Eq.…”