# gaussian_peak

Gaussian shaped peak

Parameter | Description | Units | Default value
--- | --- | --- | ---
scale | Scale factor or Volume fraction | None | 1
background | Source background | cm-1 | 0.001
peak_pos | Peak position | Å-1 | 0.05
sigma | Peak width (standard deviation) | Å-1 | 0.005

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

Definition

This model describes a Gaussian shaped peak on a flat background

\[I(q) = (\text{scale}) \exp\left[ -\tfrac12 (q-q_0)^2 / \sigma^2 \right] + \text{background}\]

with the peak having height of scale centered at \(q_0\) and having a standard deviation of \(\sigma\). The FWHM (full-width half-maximum) is \(2.354 \sigma\).

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

\[q = \sqrt{q_x^2 + q_y^2}\]

Fig. 107 1D plot corresponding to the default parameters of the model.

Source

`gaussian_peak.py` \(\ \star\ \) `gaussian_peak.c`

References

None.

Authorship and Verification

- Author:

- Last Modified by:

- Last Reviewed by: