“…The 4 F 9/2 → 6 H 13/2 emission cross section ( σ em ) of Dy 3+ ions was estimated by the Füchtbauer–Ladenburg formula
39 :
where A is the radiative transition probability for Dy 3+ , and I ( λ ) is the emission intensity at λ . The emission cross sections of LuScO 3 :Dy, LuYO 3 :Dy, and YScO 3 :Dy at 573 nm were calculated to be 0.78, 1.10, and 0.76 × 10 −20 cm 2 , which are larger than that of Y 2 O 3 :Dy (0.57 × 10 −20 cm 2 )
23 but lower than that of YAG:Dy ceramics (1.50 × 10 −20 cm 2 )
11 . Due to the two factors of broader emission spectra and higher radiative transition probability of sesquioxide, the emission cross sections of Dy‐doped sesquioxide solid solution ceramics were lower than that of YAG:Dy ceramics
40 .…”