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354 Handbook on the Physics and Chemistry of Rare Earths FIG. 3 Comparison of the relative sensitivities obtained through the FIR (solid symbols) and lifetime (open symbols) methods. The solid and dashes curves represent fits to the Boltzmann thermal equilibrium model and Collins’ lifetime sensitivity equation (see the reference), respec- tively. Adapted with permission from Collins, S., Baxter, G., Wade, S., Sun, T., Grattan, K., Zhang, Z., Palmer, A. 1998. Comparison of fluorescence-based temperature sensor schemes: the- oretical analysis and experimental validation. J. Appl. Phys. 84, 4649–4654. © 1998 AIP Publishing. The conversion of integrated intensity in temperature is made through the thermometric parameter D defined as: D1⁄4I1 (1) I2 where I1 and I2 are the integrated intensities of two transitions. Although some other empirical definitions can be found in literature, as, for instance (McLaurin et al., 2013) or (Brites et al., 2010) D1⁄4 I1 (2) I1 + I2 D1⁄4I12I2, I1>I2 (3) the integrated intensity ratio of Eq. (1) is, by far, the commonly used thermo- metric parameter. Note that this equation lacks physical meaning in the limitPDF Image | HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS
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