# 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 -1 0.05
sigma Peak width (standard deviation) -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

$q = \sqrt{q_x^2 + q_y^2}$

References

None.