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<div id="projectname">Penning Trap Simulation
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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<p>A class that simulates a Penning trap.
<a href="classPenningTrap.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>&gt;</code></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a81add5063bd5f29d77f0b5c299c6c560"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a81add5063bd5f29d77f0b5c299c6c560">PenningTrap</a> (double <a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a>=<a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>, double <a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a>=25.*<a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>/1000., double <a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a>=500.)</td></tr>
<tr class="memdesc:a81add5063bd5f29d77f0b5c299c6c560"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set B_0, V_0 and d. <br /></td></tr>
<tr class="separator:a81add5063bd5f29d77f0b5c299c6c560"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6e9776ff5b149f01080800716455d7c8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">add_particle</a> (<a class="el" href="classParticle.html">Particle</a> particle)</td></tr>
<tr class="memdesc:a6e9776ff5b149f01080800716455d7c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add a particle to the system. <br /></td></tr>
<tr class="separator:a6e9776ff5b149f01080800716455d7c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a978a2e2026a4b5308d5184712f81704b"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a978a2e2026a4b5308d5184712f81704b">external_E_field</a> (arma::vec r)</td></tr>
<tr class="memdesc:a978a2e2026a4b5308d5184712f81704b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate E at point r. <br /></td></tr>
<tr class="separator:a978a2e2026a4b5308d5184712f81704b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a2a3e7f480ba52e9f24d4c50c3981a784">external_B_field</a> (arma::vec r)</td></tr>
<tr class="memdesc:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate B at point r. <br /></td></tr>
<tr class="separator:a2a3e7f480ba52e9f24d4c50c3981a784"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4790f41e4fbc6ede4991aa7bbda92182"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a4790f41e4fbc6ede4991aa7bbda92182">force_on_particle</a> (int i, int j)</td></tr>
<tr class="memdesc:a4790f41e4fbc6ede4991aa7bbda92182"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the force between 2 particles. <br /></td></tr>
<tr class="separator:a4790f41e4fbc6ede4991aa7bbda92182"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a045adb85e97a8e0c38fb36d2fd74eeee">total_force_external</a> (int i)</td></tr>
<tr class="memdesc:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the total external force on a particle. <br /></td></tr>
<tr class="separator:a045adb85e97a8e0c38fb36d2fd74eeee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a135db7d991d9b88b00fde4edee71f78d"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a135db7d991d9b88b00fde4edee71f78d">total_force_particles</a> (int i)</td></tr>
<tr class="memdesc:a135db7d991d9b88b00fde4edee71f78d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the total force on a particle from other particles. <br /></td></tr>
<tr class="separator:a135db7d991d9b88b00fde4edee71f78d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a83cc7a04dae009ed8e75453c38fdf8be"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a83cc7a04dae009ed8e75453c38fdf8be">total_force</a> (int i)</td></tr>
<tr class="memdesc:a83cc7a04dae009ed8e75453c38fdf8be"><td class="mdescLeft">&#160;</td><td class="mdescRight">calculate the total force on a particle. <br /></td></tr>
<tr class="separator:a83cc7a04dae009ed8e75453c38fdf8be"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab891b839c40eeb38d8a2a636c70090a9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#ab891b839c40eeb38d8a2a636c70090a9">evolve_RK4</a> (double dt)</td></tr>
<tr class="memdesc:ab891b839c40eeb38d8a2a636c70090a9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Go forward one timestep using the RK4 method. <br /></td></tr>
<tr class="separator:ab891b839c40eeb38d8a2a636c70090a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56544b6f4befb42984e9650cf2a40965"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">evolve_forward_euler</a> (double dt)</td></tr>
<tr class="memdesc:a56544b6f4befb42984e9650cf2a40965"><td class="mdescLeft">&#160;</td><td class="mdescRight">Go forward one timestep using the forward Euler method. <br /></td></tr>
<tr class="separator:a56544b6f4befb42984e9650cf2a40965"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a12b511e6903a0b033ba894c10b54d264"><td class="memItemLeft" align="right" valign="top">arma::vec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a12b511e6903a0b033ba894c10b54d264">get_particle</a> (int i)</td></tr>
<tr class="separator:a12b511e6903a0b033ba894c10b54d264"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a85b6a231a3208963b46811776da7e580"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a85b6a231a3208963b46811776da7e580">get_d</a> ()</td></tr>
<tr class="separator:a85b6a231a3208963b46811776da7e580"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:a0cac3509aa96e71a26d3b2c902e27716"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716">B_0</a></td></tr>
<tr class="memdesc:a0cac3509aa96e71a26d3b2c902e27716"><td class="mdescLeft">&#160;</td><td class="mdescRight">Magnetic field strength. <br /></td></tr>
<tr class="separator:a0cac3509aa96e71a26d3b2c902e27716"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a715329844d75ec4c04f8391421fb4e89"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89">V_0</a></td></tr>
<tr class="memdesc:a715329844d75ec4c04f8391421fb4e89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Applied potential. <br /></td></tr>
<tr class="separator:a715329844d75ec4c04f8391421fb4e89"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a66dfe89c68716b9502927b97f59c27d2"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2">d</a></td></tr>
<tr class="memdesc:a66dfe89c68716b9502927b97f59c27d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Characteristic dimension. <br /></td></tr>
<tr class="separator:a66dfe89c68716b9502927b97f59c27d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0112525d9e79a472e761f8ef402a339f"><td class="memItemLeft" align="right" valign="top">std::vector&lt; <a class="el" href="classParticle.html">Particle</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f">particles</a></td></tr>
<tr class="memdesc:a0112525d9e79a472e761f8ef402a339f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The particles in the Penning trap. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A class that simulates a Penning trap. </p>
<p>This class simulates a Penning trap. It can take in a number of particles and simulate how they would behave inside a Penning trap. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00025">25</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a81add5063bd5f29d77f0b5c299c6c560">&#9670;&#160;</a></span>PenningTrap()</h2>
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<td class="memname">PenningTrap::PenningTrap </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>B_0</em> = <code><a class="el" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></code>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>V_0</em> = <code>25.*<a class="el" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a>/1000.</code>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d</em> = <code>500.</code>&#160;</td>
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<p>Set B_0, V_0 and d. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00026">26</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a6e9776ff5b149f01080800716455d7c8">&#9670;&#160;</a></span>add_particle()</h2>
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<td class="memname">void PenningTrap::add_particle </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classParticle.html">Particle</a>&#160;</td>
<td class="paramname"><em>particle</em></td><td>)</td>
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<p>Add a particle to the system. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00033">33</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a56544b6f4befb42984e9650cf2a40965">&#9670;&#160;</a></span>evolve_forward_euler()</h2>
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<td class="memname">void PenningTrap::evolve_forward_euler </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dt</em></td><td>)</td>
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<p>Go forward one timestep using the forward Euler method. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00121">121</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab891b839c40eeb38d8a2a636c70090a9">&#9670;&#160;</a></span>evolve_RK4()</h2>
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<td class="memname">void PenningTrap::evolve_RK4 </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dt</em></td><td>)</td>
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<p>Go forward one timestep using the RK4 method. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00116">116</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2a3e7f480ba52e9f24d4c50c3981a784">&#9670;&#160;</a></span>external_B_field()</h2>
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<td class="memname">arma::vec PenningTrap::external_B_field </td>
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<td class="paramtype">arma::vec&#160;</td>
<td class="paramname"><em>r</em></td><td>)</td>
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<p>Calculate B at point r. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00049">49</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a978a2e2026a4b5308d5184712f81704b">&#9670;&#160;</a></span>external_E_field()</h2>
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<td class="memname">arma::vec PenningTrap::external_E_field </td>
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<td class="paramtype">arma::vec&#160;</td>
<td class="paramname"><em>r</em></td><td>)</td>
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<p>Calculate E at point r. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00038">38</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4790f41e4fbc6ede4991aa7bbda92182">&#9670;&#160;</a></span>force_on_particle()</h2>
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<p>Calculate the force between 2 particles. </p>
<p>Calculate the force exhibited on particle p_i from particle p_j. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00059">59</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a85b6a231a3208963b46811776da7e580">&#9670;&#160;</a></span>get_d()</h2>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00142">142</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a12b511e6903a0b033ba894c10b54d264">&#9670;&#160;</a></span>get_particle()</h2>
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<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00137">137</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a83cc7a04dae009ed8e75453c38fdf8be">&#9670;&#160;</a></span>total_force()</h2>
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<td class="memname">arma::vec PenningTrap::total_force </td>
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<p>calculate the total force on a particle. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00111">111</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a045adb85e97a8e0c38fb36d2fd74eeee">&#9670;&#160;</a></span>total_force_external()</h2>
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<p>Calculate the total external force on a particle. </p>
<p>Calculate the total amount of force that E and B exhibits on particle p_i. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00074">74</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a135db7d991d9b88b00fde4edee71f78d">&#9670;&#160;</a></span>total_force_particles()</h2>
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<p>Calculate the total force on a particle from other particles. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8cpp_source.html#l00092">92</a> of file <a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0cac3509aa96e71a26d3b2c902e27716">&#9670;&#160;</a></span>B_0</h2>
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<td class="memname">double PenningTrap::B_0</td>
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<p>Magnetic field strength. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00027">27</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a66dfe89c68716b9502927b97f59c27d2">&#9670;&#160;</a></span>d</h2>
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<td class="memname">double PenningTrap::d</td>
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<p>Characteristic dimension. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00029">29</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0112525d9e79a472e761f8ef402a339f">&#9670;&#160;</a></span>particles</h2>
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<td class="memname">std::vector&lt;<a class="el" href="classParticle.html">Particle</a>&gt; PenningTrap::particles</td>
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<p>The particles in the Penning trap. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00030">30</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a715329844d75ec4c04f8391421fb4e89">&#9670;&#160;</a></span>V_0</h2>
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<td class="memname">double PenningTrap::V_0</td>
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<p>Applied potential. </p>
<p class="definition">Definition at line <a class="el" href="PenningTrap_8hpp_source.html#l00028">28</a> of file <a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li>include/<a class="el" href="PenningTrap_8hpp_source.html">PenningTrap.hpp</a></li>
<li>src/<a class="el" href="PenningTrap_8cpp_source.html">PenningTrap.cpp</a></li>
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