source: sasmodels/model/lamellar.html @ 68532f3

gh-pages
Last change on this file since 68532f3 was 68532f3, checked in by ajj, 8 years ago

Adding docs
  • Property mode set to 100644
File size: 5.0 KB
Line 
1<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
2  "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
3
4
5<html xmlns="http://www.w3.org/1999/xhtml">
6  <head>
7    <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
8   
9    <title>2.1.3.1. Lamellar &mdash; Sasmodels</title>
10   
11    <link rel="stylesheet" href="../_static/haiku-site.css" type="text/css" />
12    <link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
13   
14    <script type="text/javascript">
15      var DOCUMENTATION_OPTIONS = {
16        URL_ROOT:    '../',
17        VERSION:     '0.9',
18        COLLAPSE_INDEX: false,
19        FILE_SUFFIX: '.html',
20        HAS_SOURCE:  true
21      };
22    </script>
23    <script type="text/javascript" src="../_static/jquery.js"></script>
24    <script type="text/javascript" src="../_static/underscore.js"></script>
25    <script type="text/javascript" src="../_static/doctools.js"></script>
26    <script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
27    <link rel="top" title="Sasmodels" href="../index.html" />
28    <link rel="up" title="2.1.3. Lamellae Functions" href="../ref/models/shape-lamellae.html" />
29    <link rel="next" title="2.1.3.2. Lamellarps" href="lamellarCaille.html" />
30    <link rel="prev" title="2.1.3. Lamellae Functions" href="../ref/models/shape-lamellae.html" /> 
31  </head>
32  <body>
33      <div class="header"><h1 class="heading"><a href="../index.html">
34          <span>Home</span></a></h1>
35        <h2 class="heading"><span>2.1.3.1. Lamellar</span></h2>
36      </div>
37      <div class="topnav">
38     
39        <p>
40        «&#160;&#160;<a href="../ref/models/shape-lamellae.html">2.1.3. Lamellae Functions</a>
41        &#160;&#160;::&#160;&#160;
42        <a class="uplink" href="../index.html">Contents</a>
43        &#160;&#160;::&#160;&#160;
44        <a href="lamellarCaille.html">2.1.3.2. Lamellarps</a>&#160;&#160;»
45        </p>
46
47      </div>
48      <div class="content">
49       
50       
51  <div class="section" id="lamellar">
52<span id="id1"></span><h1>2.1.3.1. Lamellar<a class="headerlink" href="#lamellar" title="Permalink to this headline">¶</a></h1>
53<p>Lyotropic lamellar phase with uniform SLD and random distribution</p>
54<table border="1" class="docutils">
55<colgroup>
56<col width="16%" />
57<col width="48%" />
58<col width="17%" />
59<col width="19%" />
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>sld</td>
80<td>Layer scattering length density</td>
81<td>10<sup>-6</sup>Å<sup>-2</sup></td>
82<td>1</td>
83</tr>
84<tr class="row-odd"><td>solvent_sld</td>
85<td>Solvent scattering length density</td>
86<td>10<sup>-6</sup>Å<sup>-2</sup></td>
87<td>6</td>
88</tr>
89<tr class="row-even"><td>thickness</td>
90<td>Bilayer thickness</td>
91<td>Å</td>
92<td>50</td>
93</tr>
94</tbody>
95</table>
96<p>The returned value is scaled to units of cm<sup>-1</sup>.</p>
97<p>Polydispersity in the bilayer thickness can be applied from the GUI.</p>
98<div class="section" id="definition">
99<h2>Definition<a class="headerlink" href="#definition" title="Permalink to this headline">¶</a></h2>
100<p>The scattering intensity <em>I(Q)</em> is</p>
101<div class="math">
102\[I(Q) = 2\pi{P(Q) \over \delta Q^2}\]</div>
103<p>The form factor is</p>
104<div class="math">
105\[P(Q) = {2\Delta\rho^2 \over Q^2}(1-cos(Q\delta))\]</div>
106<p>where ÎŽ = bilayer thickness.</p>
107<p>The 2D scattering intensity is calculated in the same way as 1D, where the <span class="math">\(Q\)</span> vector is defined as</p>
108<div class="math">
109\[Q = \sqrt{Q_x^2 + Q_y^2}\]</div>
110<p>Our model uses the form factor calculations implemented in a c-library provided by the NIST Center for Neutron Research
111(Kline, 2006).</p>
112<div class="figure">
113<img alt="../_images/lamellar_1d.jpg" src="../_images/lamellar_1d.jpg" />
114<p class="caption">Figure 1: 1D plot using the default values (w/1000 data point).</p>
115</div>
116</div>
117<div class="section" id="reference">
118<h2>Reference<a class="headerlink" href="#reference" title="Permalink to this headline">¶</a></h2>
119<p>F Nallet, R Laversanne, and D Roux, J. Phys. II France, 3, (1993) 487-502</p>
120<p>also in J. Phys. Chem. B, 105, (2001) 11081-11088</p>
121</div>
122</div>
123
124
125      </div>
126      <div class="bottomnav">
127     
128        <p>
129        «&#160;&#160;<a href="../ref/models/shape-lamellae.html">2.1.3. Lamellae Functions</a>
130        &#160;&#160;::&#160;&#160;
131        <a class="uplink" href="../index.html">Contents</a>
132        &#160;&#160;::&#160;&#160;
133        <a href="lamellarCaille.html">2.1.3.2. Lamellarps</a>&#160;&#160;»
134        </p>
135
136      </div>
137
138    <div class="footer">
139        &copy; Copyright 2014, sasview team.
140      Created using <a href="http://sphinx-doc.org/">Sphinx</a> 1.2.3.
141    </div>
142  </body>
143</html>
Note: See TracBrowser for help on using the repository browser.