Abstract
We have determined uncertainties s( b) in the estimates of peak centroids for Gaussian spectral lines. Peak centroids b were estimated by a least-squares method fitting Gaussian to peaks. A calculational method yields, in the case of a negligible background, s(b)≈0.412 f a where f and a denote the full width at half maximum and the amplitude of the peak, respectively. Monte Carlo calculations of synthetic peaks on a background Bg show that s( b) = K 1 + K 2 Bg where K 1 and K 2 depend on a, f, and k (number of data points used in the fitting). K 1 and K 2 have been determined in useful particular cases. Experimental errors in peak centroids are obtained by adjusting Gaussian to profiles of known lines recorded in beam-foil spectra. Good agreement is found between experimental and calculated errors s( b).
Published Version
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