Spectroscopic properties of MgAl2−xO4:xCr3+ nanoparticles prepared by a high-temperature calcination method

Crystal structure and luminescence mechanism of novel Fe3+‐doped Mg0.752Al2.165O4 deep red‐emitting phosphors

“…A 1 and A 2 are the pre‐exponential factors associated with the luminescence lifetime components τ 1 and τ 2 , respectively. To determine the magnitude of the decay time, the average lifetime τ* was estimated using Equation (): 11,35,36 $$\begin{equation} \def\eqcellsep{&}\begin{array}{*{20}{c}} {\;{\tau ^{\rm{*}}} = \frac{{\left( {{A_1}{\tau _1}^2 + {A_2}{\tau _2}^2} \right)}}{{\left( {{A_1}{\tau _1} + {A_2}{\tau _2}} \right)}}\;} \end{array} \end{equation}$$…”

“…A 1 and A 2 are the pre-exponential factors associated with the luminescence lifetime components τ 1 and τ 2 , respectively. To determine the magnitude of the decay time, the average lifetime τ* was estimated using Equation (3): 11,35,36 𝜏 * = (𝐴1𝜏1 2 +𝐴 2 𝜏 2 2 )…”