gaussian_peak

Gaussian shaped peak

Parameter	Description	Units	Default value
scale	Source intensity	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. 101 1D plot corresponding to the default parameters of the model.

References

None.