source: sasmodels/_sources/model/gaussian_peak.txt @ 68532f3

.. _gaussian-peak:

Gaussian peak
=======================================================

Gaussian shaped peak

========== =============================== ======== =============
Parameter  Description                     Units    Default value
========== =============================== ======== =============
scale      Source intensity                None                 1
background Source background               |cm^-1|              0
q0         Peak position                   |Ang^-1|          0.05
sigma      Peak width (standard deviation) |Ang^-1|         0.005
========== =============================== ======== =============

The returned value is scaled to units of |cm^-1|.


This model describes a Gaussian shaped peak on a flat background

.. image:: img/image198.PNG

with the peak having height of *I0* centered at *q0* and having a standard deviation of *B*. The FWHM (full-width
half-maximum) is 2.354 B.

For 2D data: The 2D scattering intensity is calculated in the same way as 1D, where the *q* vector is defined as

.. image:: img/image040.gif

.. image:: img/image199.jpg

*Figure. 1D plot using the default values (w/500 data points).*

REFERENCE
---------

None.