peak_lorentz

A Lorentzian peak on a flat background

Parameter Description Units Default value
scale Source intensity None 1
background Source background cm-1 0.001
peak_pos Peak postion in q -1 0.05
peak_hwhm HWHM of peak -1 0.005

The returned value is scaled to units of cm-1 sr-1, absolute scale.

This model describes a Lorentzian shaped peak on a flat background.

Definition

The scattering intensity $$I(q)$$ is calculated as

$I(q) = \frac{scale}{\bigl(1+\bigl(\frac{q-q_0}{B}\bigr)^2\bigr)} + background$

with the peak having height of $$I_0$$ centered at $$q_0$$ and having a HWHM (half-width half-maximum) of B.

For 2D data the scattering intensity is calculated in the same way as 1D, where the $$q$$ vector is defined as

$q = \sqrt{q_x^2 + q_y^2}$

References

None.