28.1.109 Lorentz

Function

 y=y_0+\frac{2A}\pi \frac w{4\left( x-x_c\right) ^2+w^2}

Brief Description

Lorentzian peak function with bell shape and much wider tails than Gaussian function.

Sample Curve

Image320.jpg

Parameters

Number: 4

Names: y0, xc, w, A

Meanings: y0 = offset, xc = center, w = FWHM, A = area

Lower Bounds: w > 0.0

Upper Bounds: none

Derived Parameters

Refer to the curve in Sample Curve section:

Height of the Curve (yc - y0); H = 2 * A / (PI * w)

Script Access

nlf_lorentz(x,y0,xc,w,A)

Function File

FITFUNC\LORENTZ.FDF

category

Origin Basic Functions, Peak Functions, PFW, Spectroscopy, Statistics