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Lanthanides in Luminescent Thermometry Chapter 281 367 FIG. 8 The repeatability of a temperature measurement corresponds to compute the deviation relatively to the average measured temperature. If the distance to the mean temperature value is lower than 2 the standard deviation of the data, this value is considered as a repetition of the mean value. acceptable repeatability coefficient can be obtained when the deviation rela- tive to the average measured temperature is lower than 2 the standard devi- ation of the data (assumed here as dT)2 (Fig. 8). This criterion ensures that, for stochastic processes, 95% of the measurements are less than two standard deviations away from the mean value of temperature. In a typical procedure, the repeatability of a thermal probe is estimated by cycling the temperature in a given interval, ensuring that each measurement is performed with the probe in thermal equilibrium with the temperature control- ler (Fig. 9). The repeatability of a thermometer’s readout upon temperature cycling is quantified using the expression: R 1⁄4 1 max ðjDc Di jÞ (22) Dc where Dc is the mean thermometric parameter (extracted from the calibration curve) and Di is the value of each measurement of the thermometric parame- ter. Usually, 10 consecutive measurements are enough to have a minimal sta- tistical significance of the computed results. For example, repeatability (expressed as a percentage) larger than 99.1% upon temperature cycling in a given range in 10 consecutive temperature cycles means that the maximum experimental deviation during the thermal cycling experiment is lower than 0.9% (Fig. 9). Notice that the maximum absolute deviation value and the 2. Accordingly to the International Standard ISO 5725-1: Accuracy (trueness and precision) of measurement methods and results—Part 1: General principles and definitions.PDF Image | HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS
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