GaussMod

Function

\[f(x)=y_0+(f_1 * f_2)(x)=y_0+\frac A{t_0}e^{\frac 12(\frac w{t_0})^2-\frac{x-x_c}{t_0}}\int_{-\infty }^z\frac 1{\sqrt{2\pi }}e^{-\frac{y^2}2}dy\]

where

\(f_1\left(x \right)=\frac{A}{t_0}e^{-\frac{x}{t_0}}\)
and
\(f_2\left(x \right)=\frac{1}{\sqrt{2\pi}w}e^{-\frac{\left(x-x_c\right )^2} {2w^2}}\)

\[z=\frac{x-x_c}w-\frac w{t_0} \]

Brief Description

Exponentially modified Gaussian (EMG) peak function for use in Chromatography.

Sample Curve

Parameters

Number: 5

Names: y0, A, xc, w, t0

Meanings: y0 = offset, A = area, xc = center, w = width, t0 = unknown

Lower Bounds: w > 0.0, t0 > 0.0

Upper Bounds: none

Script Access

nlf_gaussmod(x,y0,A,xc,w,t0)

Function File

FITFUNC\GAUSSMOD.FDF

Category

PFW, Peak Functions, Chromatography, Convolution