利用多声子辐射和无辐射跃迁理论，讨论了实验结果。
The experimental results are analysed by means of the theory of multi-phonon radiative and non-radiative transitions.
也给出了辐射和无辐射跃迁几率对温度的关系以及浓度猝灭和温度猝灭曲线。
The dependence of radiative and nonradiative transition probability on the temperature is discussed, and the curve of concentration quench and temperature quench is given.
分析表明，同位素替代改变了晶格振动的频谱，对无辐射跃迁产生很大的影响。
It has been shown that the isotope substitution changes the spectrum of lattice vibration, and brings forth a great influence on the non-radiative transition.
本文详细计算了辐射跃迁几率、无辐射跃迁几率、交叉弛豫几率和其他光谱参数。
In this paper, the radiative transition probability, non-radiative transition probability, cross relaxation probability and other spectral parameters are calculated in detail.
通过实验表明磷酸盐玻璃在制备过程中引进的水，与无辐射跃迁速率的增加有直接的关系。
Experimental research indicates that the water introduced during the preparation of phosphate glasses is directly responsible for the enhancement of nonradiative transition probability.
由于钕离子进入低声子能量的氟化物中，无辐射跃迁损失小，氟氧化物玻璃基质的量子效率高于氧化物玻璃基质的量子效率。
Nd3 + enters into fluoride with the low phonon energy, so the loss of irradiation transitions deduces, the quantum efficiency of oxy-fluoride glass is higher than that of oxide glass.
由于钕离子进入低声子能量的氟化物中，无辐射跃迁损失小，氟氧化物玻璃基质的量子效率高于氧化物玻璃基质的量子效率。
Nd3 + enters into fluoride with the low phonon energy, so the loss of irradiation transitions deduces, the quantum efficiency of oxy-fluoride glass is higher than that of oxide glass.
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