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<li class="toctree-l2 current"><a class="current reference internal" href="#">improper_style class2 command</a></li>
<li class="toctree-l2"><a class="reference internal" href="#improper-style-class2-omp-command">improper_style class2/omp command</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#syntax">Syntax</a></li>
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<li class="toctree-l2"><a class="reference internal" href="improper_cossq.html">improper_style cossq command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_cossq.html#improper-style-cossq-omp-command">improper_style cossq/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_cvff.html">improper_style cvff command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_cvff.html#improper-style-cvff-intel-command">improper_style cvff/intel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_cvff.html#improper-style-cvff-omp-command">improper_style cvff/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_distance.html">improper_style distance command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_fourier.html">improper_style fourier command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_fourier.html#improper-style-fourier-omp-command">improper_style fourier/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_harmonic.html">improper_style harmonic command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_harmonic.html#improper-style-harmonic-intel-command">improper_style harmonic/intel command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_harmonic.html#improper-style-harmonic-kk-command">improper_style harmonic/kk command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_harmonic.html#improper-style-harmonic-omp-command">improper_style harmonic/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_hybrid.html">improper_style hybrid command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_none.html">improper_style none command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_ring.html">improper_style ring command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_ring.html#improper-style-ring-omp-command">improper_style ring/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_umbrella.html">improper_style umbrella command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_umbrella.html#improper-style-umbrella-omp-command">improper_style umbrella/omp command</a></li>
<li class="toctree-l2"><a class="reference internal" href="improper_zero.html">improper_style zero command</a></li>
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<div class="section" id="improper-style-class2-command">
<span id="index-0"></span><h1>improper_style class2 command</h1>
</div>
<div class="section" id="improper-style-class2-omp-command">
<h1>improper_style class2/omp command</h1>
<div class="section" id="syntax">
<h2>Syntax</h2>
<pre class="literal-block">
improper_style class2
</pre>
</div>
<div class="section" id="examples">
<h2>Examples</h2>
<pre class="literal-block">
improper_style class2
improper_coeff 1 100.0 0
improper_coeff * aa 0.0 0.0 0.0 115.06 130.01 115.06
</pre>
</div>
<div class="section" id="description">
<h2>Description</h2>
<p>The <em>class2</em> improper style uses the potential</p>
<img alt="_images/improper_class2.jpg" class="align-center" src="_images/improper_class2.jpg" />
<p>where Ei is the improper term and Eaa is an angle-angle term. The 3 X
terms in Ei are an average over 3 out-of-plane angles.</p>
<p>The 4 atoms in an improper quadruplet (listed in the data file read by
the <a class="reference internal" href="read_data.html"><span class="doc">read_data</span></a> command) are ordered I,J,K,L. X_IJKL
refers to the angle between the plane of I,J,K and the plane of J,K,L,
and the bond JK lies in both planes. Similarly for X_KJLI and X_LJIK.
Note that atom J appears in the common bonds (JI, JK, JL) of all 3 X
terms. Thus J (the 2nd atom in the quadruplet) is the atom of
symmetry in the 3 X angles.</p>
<p>The subscripts on the various theta&#8217;s refer to different combinations
of 3 atoms (I,J,K,L) used to form a particular angle. E.g. Theta_IJL
is the angle formed by atoms I,J,L with J in the middle. Theta1,
theta2, theta3 are the equilibrium positions of those angles. Again,
atom J (the 2nd atom in the quadruplet) is the atom of symmetry in the
theta angles, since it is always the center atom.</p>
<p>Since atom J is the atom of symmetry, normally the bonds J-I, J-K, J-L
would exist for an improper to be defined between the 4 atoms, but
this is not required.</p>
<p>See <a class="reference internal" href="#improper-sun"><span class="std std-ref">(Sun)</span></a> for a description of the COMPASS class2 force field.</p>
<p>Coefficients for the Ei and Eaa formulas must be defined for each
improper type via the <a class="reference internal" href="improper_coeff.html"><span class="doc">improper_coeff</span></a> command as
in the example above, or in the data file or restart files read by the
<a class="reference internal" href="read_data.html"><span class="doc">read_data</span></a> or <a class="reference internal" href="read_restart.html"><span class="doc">read_restart</span></a>
commands.</p>
<p>These are the 2 coefficients for the Ei formula:</p>
<ul class="simple">
<li>K (energy/radian^2)</li>
<li>X0 (degrees)</li>
</ul>
<p>X0 is specified in degrees, but LAMMPS converts it to radians
internally; hence the units of K are in energy/radian^2.</p>
<p>For the Eaa formula, each line in a
<a class="reference internal" href="improper_coeff.html"><span class="doc">improper_coeff</span></a> command in the input script lists
7 coefficients, the first of which is &#8220;aa&#8221; to indicate they are
AngleAngle coefficients. In a data file, these coefficients should be
listed under a &#8220;AngleAngle Coeffs&#8221; heading and you must leave out the
&#8220;aa&#8221;, i.e. only list 6 coefficients after the improper type.</p>
<ul class="simple">
<li>aa</li>
<li>M1 (energy/distance)</li>
<li>M2 (energy/distance)</li>
<li>M3 (energy/distance)</li>
<li>theta1 (degrees)</li>
<li>theta2 (degrees)</li>
<li>theta3 (degrees)</li>
</ul>
<p>The theta values are specified in degrees, but LAMMPS converts them to
radians internally; hence the units of M are in energy/radian^2.</p>
<hr class="docutils" />
<p>Styles with a <em>gpu</em>, <em>intel</em>, <em>kk</em>, <em>omp</em>, or <em>opt</em> suffix are
functionally the same as the corresponding style without the suffix.
They have been optimized to run faster, depending on your available
hardware, as discussed in <a class="reference internal" href="Section_accelerate.html"><span class="doc">Section 5</span></a>
of the manual. The accelerated styles take the same arguments and
should produce the same results, except for round-off and precision
issues.</p>
<p>These accelerated styles are part of the GPU, USER-INTEL, KOKKOS,
USER-OMP and OPT packages, respectively. They are only enabled if
LAMMPS was built with those packages. See the <a class="reference internal" href="Section_start.html#start-3"><span class="std std-ref">Making LAMMPS</span></a> section for more info.</p>
<p>You can specify the accelerated styles explicitly in your input script
by including their suffix, or you can use the <a class="reference internal" href="Section_start.html#start-7"><span class="std std-ref">-suffix command-line switch</span></a> when you invoke LAMMPS, or you can
use the <a class="reference internal" href="suffix.html"><span class="doc">suffix</span></a> command in your input script.</p>
<p>See <a class="reference internal" href="Section_accelerate.html"><span class="doc">Section 5</span></a> of the manual for
more instructions on how to use the accelerated styles effectively.</p>
</div>
<hr class="docutils" />
<div class="section" id="restrictions">
<h2>Restrictions</h2>
<p>This improper style can only be used if LAMMPS was built with the
CLASS2 package. See the <a class="reference internal" href="Section_start.html#start-3"><span class="std std-ref">Making LAMMPS</span></a>
section for more info on packages.</p>
</div>
<div class="section" id="related-commands">
<h2>Related commands</h2>
<p><a class="reference internal" href="improper_coeff.html"><span class="doc">improper_coeff</span></a></p>
<p><strong>Default:</strong> none</p>
<hr class="docutils" />
<p id="improper-sun"><strong>(Sun)</strong> Sun, J Phys Chem B 102, 7338-7364 (1998).</p>
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