peak_lorentz¶
A Lorentzian peak on a flat background
Parameter |
Description |
Units |
Default value |
---|---|---|---|
scale |
Scale factor or Volume fraction |
None |
1 |
background |
Source background |
cm-1 |
0.001 |
peak_pos |
Peak postion in q |
Å-1 |
0.05 |
peak_hwhm |
HWHM of peak |
Å-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
\[q = \sqrt{q_x^2 + q_y^2}\]
Source
References
None.
Authorship and Verification
Author:
Last Modified by:
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