“…In order to calculate the quantum efficiency of the thermalized levels ( 2 H 11/2 , 4 S 3/2 ), a radiative lifetime of this pair should be estimated; their common radiative lifetime can be calculated with [21] Approximating the bandgap between them to ΔEE800 cm À 1 [8], the values obtained for τ rad ( 2 H 11/2 , 4 S 3/2 ) are 470.81 ms for the 0.68 mm sample, 457.47 ms for the 0.38 mm sample and 450.66 ms for the 0.24 mm sample. The quantum efficiency defined as the ratio between the experimental lifetime (160 ms [11]) and the radiative lifetime is 0.34 for d ¼0.68 mm, 0.35 for d¼ 0.38 mm, and 0.36 for the thinnest sample. According to Eq.…”