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<div class="section" id="dihedral-style-spherical-command">
<span id="index-0"></span><h1>dihedral_style spherical command</h1>
<div class="section" id="syntax">
<h2>Syntax</h2>
<pre class="literal-block">
dihedral_style spherical
</pre>
</div>
<div class="section" id="examples">
<h2>Examples</h2>
<pre class="literal-block">
dihedral_coeff 1 1 286.1 1 124 1 1 90.0 0 1 90.0 0
dihedral_coeff 1 3 286.1 1 114 1 1 90 0 1 90.0 0 &amp;
17.3 0 0.0 0 1 158 1 0 0.0 0 &amp;
15.1 0 0.0 0 0 0.0 0 1 167.3 1
</pre>
</div>
<div class="section" id="description">
<h2>Description</h2>
<p>The <em>spherical</em> dihedral style uses the potential:</p>
<img alt="_images/dihedral_spherical_angles.jpg" class="align-center" src="_images/dihedral_spherical_angles.jpg" />
<img alt="_images/dihedral_spherical.jpg" class="align-center" src="_images/dihedral_spherical.jpg" />
<p>For this dihedral style, the energy can be any function that combines the
4-body dihedral-angle (phi) and the two 3-body bond-angles (theta1, theta2).
For this reason, there is usually no need to define 3-body &#8220;angle&#8221; forces
separately for the atoms participating in these interactions.
It is probably more efficient to incorporate 3-body angle forces into
the dihedral interaction even if it requires adding additional terms to
the expansion (as was done in the second example). A careful choice of
parameters can prevent singularities that occur with traditional
force-fields whenever theta1 or theta2 approach 0 or 180 degrees.
The last example above corresponds to an interaction with a single energy
minima located at phi=114, theta1=158, theta2=167.3 degrees, and it remains
numerically stable at all angles (phi, theta1, theta2). In this example,
the coefficients 17.3, and 15.1 can be physically interpreted as the
harmonic spring constants for theta1 and theta2 around their minima.
The coefficient 286.1 is the harmonic spring constant for phi after
division by sin(158)*sin(167.3) (the minima positions for theta1 and theta2).</p>
<p>The following coefficients must be defined for each dihedral type via the
<a class="reference internal" href="dihedral_coeff.html"><span class="doc">dihedral_coeff</span></a> command as in the example above, or in
the Dihedral Coeffs section of a data file file read by the
<a class="reference internal" href="read_data.html"><span class="doc">read_data</span></a> command:</p>
<ul class="simple">
<li>n (integer &gt;= 1)</li>
<li>C1 (energy)</li>
<li>K1 (typically an integer)</li>
<li>a1 (degrees)</li>
<li>u1 (typically 0.0 or 1.0)</li>
<li>L1 (typically an integer)</li>
<li>b1 (degrees, typically 0.0 or 90.0)</li>
<li>v1 (typically 0.0 or 1.0)</li>
<li>M1 (typically an integer)</li>
<li>c1 (degrees, typically 0.0 or 90.0)</li>
<li>w1 (typically 0.0 or 1.0)</li>
<li></li>
<li>Cn (energy)</li>
<li>Kn (typically an integer)</li>
<li>an (degrees)</li>
<li>un (typically 0.0 or 1.0)</li>
<li>Ln (typically an integer)</li>
<li>bn (degrees, typically 0.0 or 90.0)</li>
<li>vn (typically 0.0 or 1.0)</li>
<li>Mn (typically an integer)</li>
<li>cn (degrees, typically 0.0 or 90.0)</li>
<li>wn (typically 0.0 or 1.0)</li>
</ul>
</div>
<hr class="docutils" />
<div class="section" id="restrictions">
<h2>Restrictions</h2>
<p>This dihedral style can only be used if LAMMPS was built with the
USER_MISC 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="dihedral_coeff.html"><span class="doc">dihedral_coeff</span></a></p>
<p><strong>Default:</strong> none</p>
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