28.1.91 Langevin

Function

y=y_0+C\left( \coth \left( x-xc\right) -\frac 1{x-xc}\right)

cothz=\frac{e^z+e^{-z}}{e^z-e^{-z}}

Brief Description

Langevin function used in paramagnetism with three parameters.

Sample Curve

CFF Image276.gif

Parameters

Number: 3

Names: y0, xc, C

Meanings: y0 = offset, xc = center, C = Amplitude

Lower Bounds: noe

Upper Bounds: none

Script Access

nlf_Langevin(x, y0,xc,C)

Function File

FITFUNC\LANGEVIN.FDF

Category

Exponential