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.