Peak Lorentz

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.

Authorship and Verification

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