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<li class="toctree-l1 current"><a class="current reference internal" href="#">The mobility module</a><ul>
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<div class="section" id="the-mobility-module">
<h1>The mobility module<a class="headerlink" href="#the-mobility-module" title="Permalink to this headline">¶</a></h1>
<p>This module allows to calculate the carrier mobilities based on the material composition, temperature (T>100K) and impurity concentration. It is an implementation of the mobility model by:</p>
<ol class="upperalpha simple" start="13">
<li>Sotoodeh, A. H. Khalid, and A. A. Rezazadeh, “Empirical low-field mobility model for III–V compounds applicable in device simulation codes,” <em>J. Appl. Phys.</em>, <strong>87</strong>, 2890, (2000).</li>
</ol>
<div class="section" id="supported-materials">
<h2>Supported materials<a class="headerlink" href="#supported-materials" title="Permalink to this headline">¶</a></h2>
<p>The material parameters used in the model are included in the file <em>mobility_parameters.json</em>. At the moment, the supported materials are:</p>
<blockquote>
<div><ul class="simple">
<li><strong>Binaries</strong>: AlAs, GaAs, InAs, InP, GaP</li>
<li><strong>Ternaries</strong>: InAlAs, AlGaAs, InGaAs, GaInP, (GaAsP), (InAsP)</li>
<li><strong>Quaternaries</strong>: InGaAsP</li>
</ul>
</div></blockquote>
<p>The last two ternaries are simply calculated as a linear interpolation of the parameters of the corresponding binaries, so the transition from direct to indirect bandgap and other dependencies might not be very accurate. <em>InGaAsP</em>, in turn, is calculated only based on the <em>InGaAs</em> and <em>GaInP</em> data and it is mostly valid for compositions lattice matched to <em>InP</em>.</p>
</div>
<div class="section" id="functions">
<h2>Functions<a class="headerlink" href="#functions" title="Permalink to this headline">¶</a></h2>
<dl class="function">
<dt>
<code class="descname">def calculate_mobility(material, holes, N, [x=0.0, y=0.0, T=300])</code></dt>
<dd><p>Calculates the mobility using the model by Sotoodeh <em>et al.</em> (<a class="footnote-reference" href="#ref6" id="id1">[1]</a>). If the material is not in the database, then the function returns the mobility for <em>GaAs</em> at that temperature, <em>T</em>, and impurity concentration, <em>N</em>. <em>holes</em> = 0 calculates the mobility for electrons and <em>holes</em> = 1 calculate the mobility for holes. <em>x</em> is the fractional composition in the case of ternaries and <em>y</em> in the case of quaternaries.</p>
<p><strong>Output</strong>: Mobility</p>
</dd></dl>
</div>
<div class="section" id="module-solcore.material_data.mobility">
<span id="all-functions-description"></span><h2>All functions description<a class="headerlink" href="#module-solcore.material_data.mobility" title="Permalink to this headline">¶</a></h2>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_InGaAs">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_InGaAs</code><span class="sig-paren">(</span><em>x</em>, <em>i</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_InGaAs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_InGaAs" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for an InGaAs alloy.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> – Indium fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_InGaP">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_InGaP</code><span class="sig-paren">(</span><em>x</em>, <em>i</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_InGaP"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_InGaP" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for an InGaP alloy.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> – Indium fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_AlGaAs">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_AlGaAs</code><span class="sig-paren">(</span><em>x</em>, <em>i</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_AlGaAs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_AlGaAs" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for an AlGaAs alloy.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> – Al fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_InAlAs">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_InAlAs</code><span class="sig-paren">(</span><em>x</em>, <em>i</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_InAlAs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_InAlAs" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for an InAlAs alloy.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> – Al fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_InGaAsP">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_InGaAsP</code><span class="sig-paren">(</span><em>x</em>, <em>y</em>, <em>i</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_InGaAsP"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_InGaAsP" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for an InGaAsP alloy. The calculation is based on a interpolation scheme between
InGaP and InGaAs using data of compositions lattice matched to InP. Results for compositions away from this might
not be very accurate.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>x</strong> – Indium fraction</li>
<li><strong>y</strong> – Phosphorus fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.calculate_General">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">calculate_General</code><span class="sig-paren">(</span><em>material</em>, <em>x</em>, <em>i</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#calculate_General"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.calculate_General" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the parameters for a general alloy of the materials in the database assuming a simple linear
interpolation. Only ternaries are supported this way.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>material</strong> – Material to calculate, which must be in the database</li>
<li><strong>x</strong> – Main fraction</li>
<li><strong>i</strong> – If the data for electrons (1) or holes (2) should be calculated</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last"></p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="function">
<dt id="solcore.material_data.mobility.Rd">
<code class="descclassname">solcore.material_data.mobility.</code><code class="descname">Rd</code><span class="sig-paren">(</span><em>EgG</em>, <em>EgX</em>, <em>EgL</em>, <em>mnG</em>, <em>mnX</em>, <em>mnL</em>, <em>T</em><span class="sig-paren">)</span><a class="reference internal" href="../_modules/solcore/material_data/mobility.html#Rd"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#solcore.material_data.mobility.Rd" title="Permalink to this definition">¶</a></dt>
<dd><p>Calculates the fraction of electrons in the direct valley.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>EgG</strong> – Gamma-valley bandgap</li>
<li><strong>EgX</strong> – X-valley bandgap</li>
<li><strong>EgL</strong> – L-valley bandgap</li>
<li><strong>mnG</strong> – Gamma-valley effective mass</li>
<li><strong>mnX</strong> – X-valley effective mass</li>
<li><strong>mnL</strong> – L-valley effective mass</li>
<li><strong>T</strong> – The temperature</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">The fraction.</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</div>
<div class="section" id="references">
<h2>References<a class="headerlink" href="#references" title="Permalink to this headline">¶</a></h2>
<table class="docutils footnote" frame="void" id="ref6" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id1">[1]</a></td><td><ol class="first last upperalpha simple" start="13">
<li>Sotoodeh, A. H. Khalid, and A. A. Rezazadeh, “Empirical low-field mobility model for III–V compounds applicable in device simulation codes,” <em>J. Appl. Phys.</em>, <strong>87</strong>, 2890, (2000).</li>
</ol>
</td></tr>
</tbody>
</table>
</div>
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