Match! uses the **“Intermediate Lorentzian” (IL) function** to calculate the profile from given Bragg peak data (2θ, intensity) and an associated FWHM (profile width) value. As the name already suggests, the profile function
is something in between a Gaussian and a Lorentzian.

The intensity at each point y* _{i}* is calculated from the contributions of all peaks

The contribution of a peak *k* to data point *i* is calculated as follows:

where

is the raw (profile) intensity at point *i* contributed by peak *k*

is the
integrated intensity of peak *k*

is the
width (“full width at half maximum”) of peak *k*

is the
scaled difference between the 2θ positions of point i and peak *k*:

**Please note:** In the current version of Match!, it is not possible to use profile functions other than intermediate Lorentzian for the profile calculation.