Department of Physics, University of Free State, Bloemfontein, Republic of South Africa.
Optical Materials & Bio-imaging Research Laboratory, Department of Physics, Indian Institute of Technology (ISM), Dhanbad, India.
Luminescence. 2023 Jul;38(7):1221-1229. doi: 10.1002/bio.4354. Epub 2022 Aug 14.
The fluorescence intensity ratio (FIR) of two thermally coupled levels with temperature follows the Boltzmann equation and shows an exponential nature to the temperature that is purely dependent on the energy difference between the levels. Despite the identical energy difference between the thermally coupled levels, researchers have observed varying sensitivities for various samples. In this article, the FIR and sensitivities were calculated using the Boltzmann equation by changing various parameters such as energy difference (ΔE) and the value of the constant C. The results were compared with various reports for Er /Yb ions. After analysis, a new polynomial fit equation was used to determine the temperature sensitivities for the Er /Yb co-doped PbZrTiO phosphor in lieu of the conventional Boltzmann equation. The polynomial fit equation eliminated the dependency of the sensitivity on the inverse of the FIR factor and a flat sensitivity curve was obtained with temperature.
荧光强度比（FIR）随温度遵循玻尔兹曼方程，表现出与温度的指数关系，这完全取决于能级之间的能量差。尽管热耦合能级之间的能量差相同，但研究人员观察到不同样品的灵敏度不同。在本文中，通过改变能量差（ΔE）和常数 C 的值等各种参数，使用玻尔兹曼方程计算了 FIR 和灵敏度。将结果与 Er/Yb 离子的各种报告进行了比较。分析后，使用新的多项式拟合方程来确定 Er/Yb 共掺杂 PbZrTiO 荧光粉的温度灵敏度，而不是传统的玻尔兹曼方程。多项式拟合方程消除了灵敏度对 FIR 因子倒数的依赖性，并获得了具有温度的平坦灵敏度曲线。
