Extending the applicability of the Arndt formula in wavelength modulation spectroscopy for absorbance in the lower percent range

Hartmann A, Strzoda R, Schrobenhauser R, Weigel R (2014)


Publication Type: Journal article

Publication year: 2014

Journal

Publisher: Pergamon Press

Book Volume: 133

Pages Range: 619-623

DOI: 10.1016/j.jqsrt.2013.09.026

Abstract

The Arndt formula for Lorentzian signals broadened by modulation is enhanced for the usage on 2f WMS (wavelength modulation spectroscopy) signals produced by spectroscopic lines with high absorption (percent range). Next to the first order approach of the Beer–Lambert law, which is covered by the Arndt formula, a second order term is included for a better approximation of the damped Lorentzian line shape. This second order approximation of the 2f signal can be described by a combination of several components created by the Arndt formula. The error of a pure Arndt evaluation and the improvement of the Arndt extended technique are illustrated in the example of a humidity measurement performed at 100 °C and up to 100 vol%. The energy transition at ν=10,526.274910 cm−1 is used in this setup. With the presented technique, the error is reduced by a factor of 90.

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How to cite

APA:

Hartmann, A., Strzoda, R., Schrobenhauser, R., & Weigel, R. (2014). Extending the applicability of the Arndt formula in wavelength modulation spectroscopy for absorbance in the lower percent range. Journal of Quantitative Spectroscopy & Radiative Transfer, 133, 619-623. https://dx.doi.org/10.1016/j.jqsrt.2013.09.026

MLA:

Hartmann, Alexander, et al. "Extending the applicability of the Arndt formula in wavelength modulation spectroscopy for absorbance in the lower percent range." Journal of Quantitative Spectroscopy & Radiative Transfer 133 (2014): 619-623.

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