# Peak Lorentz

## Description:

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.

## Details:

 Created By sasview Uploaded Sept. 7, 2017, 3:56 p.m. Category Shape-Independent Score 0 Verified Verified by SasView Team on 07 Sep 2017 In Library This model is included in the SasView library by default Files peak_lorentz.py