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Counting Statistics

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Abstract

The net intensity of emitted characteristic X-radiation from an element in a matrix is related to the concentration of that element. Fig. 5.1 illustrates the theoretical correlation between the peak intensity R P of an element with its concentration C. The true background response R b is given by the intercept of the curve on the ordinate. The slope m of the curve, sometimes called

Basis of quantitative X-ray spectrometry. When a plot of peak counting rate (R p ) against concentration C is made, the slope of the curve is equal to \(\frac{{{{R}_{p}}-{{R}_{b}}}}{C}\) where R b is the true background counting rate. In practice it is not possible to measure the true R b and an equivalent background position has to be used away from the analytical line.

the calibration factor, is equal to \(\frac{{{{R}_{p}}-{{R}_{b}}}}{C}\) and the concentration is given by

$$C=\frac{{{{R}_{p}}-{{R}_{b}}}}{m}$$
((5.1))

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References

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© 1970 N.V. Philips’ Gloeilampenfabrieken

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Jenkins, R., De Vries, J.L. (1970). Counting Statistics. In: Practical X-Ray Spectrometry. Philips Technical Library. Palgrave, London. https://doi.org/10.1007/978-1-349-00055-5_5

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  • DOI: https://doi.org/10.1007/978-1-349-00055-5_5

  • Publisher Name: Palgrave, London

  • Print ISBN: 978-1-349-00057-9

  • Online ISBN: 978-1-349-00055-5

  • eBook Packages: EngineeringEngineering (R0)

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