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HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS

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HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS ( handbook-onphysics-and-chemistry-rare-earths )

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Lanthanides in Luminescent Thermometry Chapter 281 355 I2 ! 0, since the thermometer readout reaches the system-operating limit, ie, a bound value defined in accordance with a reliability criterion (Robertson and Lee, 2002). In this case, a reasonable operating approach must consider as reliable intensity values only those that are 5% higher than the noise level (or baseline), thus ensuring the adequate consistency of the thermometer read- out within the system-operating limit. This operational criterion is quite gen- eral, independently of the adopted form for D. Although in the limit I2!0 Eqs. (2) and (3) keep their physical meaning, variations in D lower than its intrinsic error (corresponding to negligible changes on I1 and I2) means that the system-operating limit is reached. 3.1 Relative Thermal Sensitivity The relative thermal sensitivity Sr indicates the relative change of D per degree of temperature change and is defined by: S 1⁄4 1 @D (4) r D@T This parameter (usually expressed in units of % change per Kelvin of tem- perature change, %K1) was defined in 2003 in the context of optical fiber point temperature sensing (Wade et al., 2003) and since our initial purpose in 2012 (Brites et al., 2012), has been commonly used as a figure of merit to compare different thermometers, independently of their nature (Benayas et al., 2015; Carrasco et al., 2015; Cero ́n et al., 2015; Cui et al., 2015b; McLaurin et al., 2013; Wang et al., 2015c; Zhou et al., 2014d). The maximum value of Sr is denoted as Sm. We note that Sr>0 (negative sensitivities make no sense) and a negative signal in @D/@T means that D decreases as tempera- ture increases. Compared to the absolute sensitivity (dos Santos et al., 1998), Sa 1⁄4@D (5) @T Sr presents the critical advantage to be independent of the nature of the ther- mometer (ie, mechanical, electrical, optical) allowing direct and quantitative comparison between different samples, a powerful tool when different techni- ques are considered. Although frequently seen in the literature, Sa cannot be used to compare the performance of distinct luminescent thermometers as it depends on the sample characteristics (eg, absorption and lifetimes) and on the experimental setup. 3.2 Temperature Uncertainty The temperature uncertainty (or temperature resolution) dT is the smallest temperature change that can be detected in a given measurement. Assuming that the temperature uncertainty of a thermometer results only from

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