Skip to main content

Xspec Home Page


vagauss, zvagauss: gaussian line profile in wavelength space with sigma in velocity

A simple gaussian line profile in wavelength. If the width is $\leq 0$ then it is treated as a delta function. The zagauss variant computes a redshifted gaussian.

$\displaystyle A(\lambda) = K {1\over{(\sigma/c)\sqrt{2\pi}}}
\exp(-(\lambda-\lambda_l)^2/2(\sigma/c)^2)
$

where:

par1 = $\lambda_l$ line wavelength in Angstrom
par2 = $\sigma$ line width in km/s
Norm = K total photons/cm$^2$/s in the line

For zvagauss the corresponding formula is:

$\displaystyle A(\lambda) = K {(1+z)\over{(\sigma/c)\sqrt{2\pi}}}
\exp(-(\lambda/(1+z)-\lambda_l)^2/2(\sigma/c)^2)
$

and the parameters are:

par1 = $\lambda_l$ line wavelength in Angstrom
par2 = $\sigma$ line width in km/s
par3 = z redshift
Norm = K total photons/cm$^2$/s in the line

The line is calculated out to six sigma.