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35        <h2 class="heading"><span>2.2.3. Gaussian peak</span></h2>
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52<span id="id1"></span><h1>2.2.3. Gaussian peak<a class="headerlink" href="#gaussian-peak" title="Permalink to this headline">¶</a></h1>
53<p>Gaussian shaped peak</p>
54<table border="1" class="docutils">
55<colgroup>
56<col width="16%" />
57<col width="50%" />
58<col width="13%" />
59<col width="21%" />
60</colgroup>
61<thead valign="bottom">
62<tr class="row-odd"><th class="head">Parameter</th>
63<th class="head">Description</th>
64<th class="head">Units</th>
65<th class="head">Default value</th>
66</tr>
67</thead>
68<tbody valign="top">
69<tr class="row-even"><td>scale</td>
70<td>Source intensity</td>
71<td>None</td>
72<td>1</td>
73</tr>
74<tr class="row-odd"><td>background</td>
75<td>Source background</td>
76<td>cm<sup>-1</sup></td>
77<td>0</td>
78</tr>
79<tr class="row-even"><td>q0</td>
80<td>Peak position</td>
81<td>Å<sup>-1</sup></td>
82<td>0.05</td>
83</tr>
84<tr class="row-odd"><td>sigma</td>
85<td>Peak width (standard deviation)</td>
86<td>Å<sup>-1</sup></td>
87<td>0.005</td>
88</tr>
89</tbody>
90</table>
91<p>The returned value is scaled to units of cm<sup>-1</sup>.</p>
92<p>This model describes a Gaussian shaped peak on a flat background</p>
93<img alt="model/img/image198.PNG" src="model/img/image198.PNG" />
94<p>with the peak having height of <em>I0</em> centered at <em>q0</em> and having a standard deviation of <em>B</em>. The FWHM (full-width
95half-maximum) is 2.354 B.</p>
96<p>For 2D data: The 2D scattering intensity is calculated in the same way as 1D, where the <em>q</em> vector is defined as</p>
97<img alt="model/img/image040.gif" src="model/img/image040.gif" />
98<img alt="model/img/image199.jpg" src="model/img/image199.jpg" />
99<p><em>Figure. 1D plot using the default values (w/500 data points).</em></p>
100<div class="section" id="reference">
101<h2>2.2.3.1. REFERENCE<a class="headerlink" href="#reference" title="Permalink to this headline">¶</a></h2>
102<p>None.</p>
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