Statistical Uncertainty in Line Shift and Width Interpretation
I H Hutchinson
TL;DR
This paper provides a mathematical derivation of the uncertainty caused by photon statistics when interpreting line shifts and widths in spectroscopy, considering background spectra.
Contribution
It introduces a general mathematical framework for quantifying statistical uncertainty in spectroscopic measurements of line parameters.
Findings
Derived formulas for uncertainty in line shift and width
Quantified effects of background spectra on measurement accuracy
Applicable to various spectroscopic analysis scenarios
Abstract
A general mathematical derivation is given of the uncertainty arising from photon statistics in spectroscopic determination of line shift and width, in the presence of a background spectrum.
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Taxonomy
TopicsSpectroscopy and Chemometric Analyses · Scientific Measurement and Uncertainty Evaluation · Spectroscopy Techniques in Biomedical and Chemical Research