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A Lorentzian function is a singlepeaked function that decays gradually on each side of the peak. Lorentzian distribution is given by,
 [2511]
where,
H  The full width at half maximum (FWHM),
C_{L}  = 4,
C_{L}^{1/2}/πH  The normalization factor for the Lorentzian function such that .
The general forms of Lorentzian and Gaussian distributions are shown in Figure 2511. The Lorentzian distribution has a much smaller degree of tailing than Gaussian distribution.
Figure 2511. General forms of Lorentzian and Gaussian distributions.
