28.1.124 PearsonVII

Function

y=y_0+A\frac{2\Gamma (mu)\sqrt{2^{1/mu}-1}}{\sqrt{\pi }\Gamma \left( mu-\frac 12\right) w}\left[ 1+4\frac{2^{1/mu}-1}{w^2}\left( x-x_c\right) ^2\right] ^{-mu}

Brief Description

Pearson Type VII peak function is a Lorentz function raised to a power.

Sample Curve

Pearson VII.png

Parameters

Number: 4

Names: xc, A, w, mu

Meanings: xc = center, A =area, w = width, mu = profile shape factor

Lower Bounds: A > 0.0, w > 0.0, mu > 0.0

Upper Bounds: none

Script Access

nlf_pearson7(x,xc,A,w,mu)

Function File

FITFUNC\PEARSON7.FDF

Category

Spectroscopy, PFW, Peak Functions