The statistical quality,Ξ, of any peak in a given Mössbauer spectrum can be defined in terms of the observed spectral parameters: background counts, velocity increment, and the width and dip of the peak. For isolated peaks the statistical uncertainty with which each peak parameter may be determined, from a given spectrum, is an inverse linear function of the peak Ξ value.
For spectra with partially overlapped peaks, parameter uncertainty further depends on component peak separation. Below a critical separation where separate minima are visually discernible, probable parameter error rises very rapidly to infinity. The limits of recovering the parameters of strongly overlapped peaks and the (large) uncertainties involved are graphically presented