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There are two reasons for this: 1) The weighted average for their L-shell electrons differs by 1.0 keV for alpha and 1.3 keV for beta excitations. Given that the average width of the peaks at baseline is almost always over 1 keV for both solid and liquid samples, it is unlikely the two signals could be properly resolved for quantitative purposes; and 2 Lee et al. used a calibration curve spanning a 50000 ppm range. This is well beyond the linear range for these elements (a typical value is 1000 ppm but can be as high 10000 ppm with very well behaved samples and using a helium purge).
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There are two reasons for this: 1) The weighted average for their L-shell electrons differs by 1.0 keV for alpha and 1.3 keV for beta excitations. Given that the average width of the peaks at baseline is almost always over 1 keV for both solid and liquid samples, it is unlikely the two signals could be properly resolved for quantitative purposes; and 2) Lee et al. used a calibration curve spanning a 50000 ppm range. This is well beyond the linear range for these elements (a typical value is 1000 ppm but can be as high 10000 ppm with very well behaved samples and using a helium purge).
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