Determination of microscopic parameters for nonresonant energy-transfer processes in rare-earth-doped crystals
Determination of microscopic parameters for nonresonant energy-transfer processes in rare-earth-doped crystals
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DOI：
10.1103/physrevb.56.14344
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发表时间：
1997-12-01
影响因子：
3.7
通讯作者：
Ranieri, IM
中科院分区：
文献类型：
--
作者：
Tarelho, LVG;Gomes, L;Ranieri, IM
基于Dexter的声子辅助能量转移理论，提出了固体中稀土（3+）离子间声子辅助能量转移微观概率估计方法。本文提出的方法使人们能够从涉及供体和受体两个位置的多声子产生的非共振能量转移的基本截面谱中计算重叠积分。用n声子发射概率将施主发射光谱向受体吸收方向的平移表示向受体传递能量的m声子发射带。发现了一个比共振情况小10(-2)-10（-3）倍的非消失重叠积分。由于声子的产生和湮灭的联合机制，考虑了辅助能量传递的多声子产生概率。确定了每个声子在这一过程中的参与程度。利用该方法研究了LiYF4晶体中Tm3+(F-3(4))—>Ho3+(I-5(7)),Er3+(I-4(13/2))—>[Ho3+(I-5(7)),Tm3+(F-3(4))]的直接能量转移，以及反向转移。
A method for estimating the microscopic probability rate of phonon-assisted energy transfer between rare-earth (3+) ions in solids was developed based on Dexter's theory for phonon-assisted energy transfer. The proposed method in this paper enables one to calculate the overlap integral from fundamental cross-section spectra of nonresonant energy transfer involving a multiphonon generation in both donor and acceptor sites. A translation of the donor emission spectrum towards the acceptor absorption scaled with the N-phonon emission probability represents the m-phonon emission band which performs the energy transfer to the acceptor. A nonvanishing overlap integral 10(-2)-10(-3) limes smaller than for the resonant case is found. A multiphonon generation probability assisting the energy transfer was considered due to a combined mechanism of creation and annihilation of phonons. The participation of each phonon in the process was determined. This method was used to investigate the Tm3+(F-3(4))-->Ho3+(I-5(7)),Er3+(I-4(13/2))-->[Ho3+(I-5(7)),Tm3+(F-3(4))] direct energy transfers in LiYF4 crystals, as well the back transfers.