Cross sections and transition intensities of Tb³⁺ in KY(WO₄)₂

KLaP4O12:Tb3+ Nanocrystals for Luminescent Thermometry in a Single-Band-Ratiometric Approach

“… a See Table S2. g 07 ≡ P σ GSA = probability of the laser-induced transition between n 0 and n 7 ( 7 F 6 and 5 D 4 ), proportional to the laser power P = constants and the absorption cross section σ GSA of the GSA process: σ matched GSA under λ excGSA and much lower σ mismatched GSA under λ excESA ; g 17 ≡ P σ ESA = probability of the laser-induced transition between n 1 and n 7 ( 7 F 5 and 5 D 4 ), proportional to the laser power P = constants and the absorption cross section σ ESA of the ESA process: σ mismatched ESA under λ excGSA and much higher σ matched ESA under λ excESA ; B X = branching ratio of the n 7 ( 5 D 4 ) emission to n X ; W rad7 = probability of the radiative transition from n 7 ( 5 D 4 ): ; W nradXY = probability of the nonradiative transition between n X and n Y . The following proportionality was assumed: ; A = factor in the Boltzmann equation; Δ E XY = energy difference between n X and n Y ; k = Boltzmann constant; T = temperature. …”

“…First, according to the Boltzmann distribution, with increasing temperature, the probability of the thermal promotion of electrons from the 7 F 6 level to the 7 F 5 level increases. Second, the luminescence branching ratio of the 5 D 4 → 7 F 5 transition is more than 60% . Therefore, each photon emission act populates the 7 F 5 level with significant probability.…”

“…− 8 a See Table S2. g 07 ≡ Pσ GSA = probability of the laser-induced transition between n 0 and n 7 ( 7 F 6 and 5 D 4 ), proportional to the laser power P = constants and the absorption cross section σ GSA of the GSA process: σ matched GSA under λ excGSA and much lower σ mismatched GSA under λ excESA ; g 17 ≡ Pσ ESA = probability of the laser-induced transition between n 1 and n 7 ( 7 F 5 and 5 D 4 ), proportional to the laser power P = constants and the absorption cross section σ ESA of the ESA process: σ mismatched ESA under λ excGSA and much higher σ matched ESA under λ excESA ; B X = branching ratio of the n 7 ( 5 D 4 ) emission to n X ; 31 presented data are the results obtained after the equilibrium between the n i populations was established (steady-state system dn i /dt = 0). Solving these equations assuming the thermal (or concentration) dependence of some parameters and for changing the explicit temperature parameter T allowed one to predict the influence of thermal processes governing the operation of the SBR nanothermometer described later.…”

Spectroscopic properties of Tb3+ as an ion for visible lasers

“…In particular the recent reports on their efficient visible laser operation lead to a revival of spectroscopy on Tb 3+ doped materials. Just to name a few examples, phosphates [34], borates [35,36], garnets [37], perovskites [38], tungstates [39,40] and fluorides [16,17] were spectroscopically investigated in detail recently.…”

“…Fluorescence lifetime τ f of Tb 3+ doped into different host materialsTo present data recorded under identical conditions all data were re-measured for this work unless referenced otherwise. a[37], b[39],…”