gauss ⚬ˣˢᵖᵉᶜ｜Documentation｜1st｜20251021134803-00-⌔

gauss, zgauss: gaussian line profile

gauss, zgauss: gaussian line profile

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

$A(E)=K\frac{2}{\sigma \sqrt{2\pi }(1-erf(-E_l/(\sqrt{2}\sigma )))}\exp \left(\frac{-(E-E_l{)}^2}{2{\sigma }^2}\right)$

where:

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For zgauss the corresponding formula is:

$A(E)=K\frac{1}{(1+z)\sigma \sqrt{2\pi }(1-erf(-E_l/(\sqrt{2}\sigma )))}\exp \left(\frac{-(E(1+z)-E_l{)}^2}{2{\sigma }^2}\right)$

and parameter settings are:

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The line is calculated out to six sigma. Note also that the normalization is defined as the integral over energies greater than zero since negative energies are unphysical.

Printed 2026-06-28.

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