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<li class="toctree-l1"><a class="reference internal" href="Section_intro.html">1. Introduction</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_start.html">2. Getting Started</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_commands.html">3. Commands</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_accelerate.html">5. Accelerating LAMMPS performance</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_howto.html">6. How-to discussions</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_perf.html">8. Performance & scalability</a></li>
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<li class="toctree-l1"><a class="reference internal" href="Section_errors.html">12. Errors</a></li>
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<li>angle_style table command</li>
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<div class="section" id="angle-style-table-command">
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<span id="index-0"></span><h1>angle_style table command</h1>
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</div>
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<div class="section" id="angle-style-table-omp-command">
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<h1>angle_style table/omp command</h1>
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<div class="section" id="syntax">
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<h2>Syntax</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">angle_style</span> <span class="n">table</span> <span class="n">style</span> <span class="n">N</span>
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</pre></div>
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</div>
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<ul class="simple">
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<li>style = <em>linear</em> or <em>spline</em> = method of interpolation</li>
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<li>N = use N values in table</li>
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</ul>
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</div>
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<div class="section" id="examples">
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<h2>Examples</h2>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">angle_style</span> <span class="n">table</span> <span class="n">linear</span> <span class="mi">1000</span>
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<span class="n">angle_coeff</span> <span class="mi">3</span> <span class="n">file</span><span class="o">.</span><span class="n">table</span> <span class="n">ENTRY1</span>
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</pre></div>
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</div>
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</div>
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<div class="section" id="description">
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<h2>Description</h2>
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<p>Style <em>table</em> creates interpolation tables of length <em>N</em> from angle
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potential and derivative values listed in a file(s) as a function of
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angle The files are read by the <a class="reference internal" href="angle_coeff.html"><span class="doc">angle_coeff</span></a>
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command.</p>
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<p>The interpolation tables are created by fitting cubic splines to the
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file values and interpolating energy and derivative values at each of
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<em>N</em> angles. During a simulation, these tables are used to interpolate
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energy and force values on individual atoms as needed. The
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interpolation is done in one of 2 styles: <em>linear</em> or <em>spline</em>.</p>
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<p>For the <em>linear</em> style, the angle is used to find 2 surrounding table
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values from which an energy or its derivative is computed by linear
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interpolation.</p>
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<p>For the <em>spline</em> style, a cubic spline coefficients are computed and
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stored at each of the <em>N</em> values in the table. The angle is used to
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find the appropriate set of coefficients which are used to evaluate a
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cubic polynomial which computes the energy or derivative.</p>
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<p>The following coefficients must be defined for each angle type via the
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<a class="reference internal" href="angle_coeff.html"><span class="doc">angle_coeff</span></a> command as in the example above.</p>
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<ul class="simple">
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<li>filename</li>
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<li>keyword</li>
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</ul>
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<p>The filename specifies a file containing tabulated energy and
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derivative values. The keyword specifies a section of the file. The
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format of this file is described below.</p>
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<hr class="docutils" />
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<p>The format of a tabulated file is as follows (without the
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parenthesized comments):</p>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="c1"># Angle potential for harmonic (one or more comment or blank lines)</span>
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</pre></div>
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</div>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">HAM</span> <span class="p">(</span><span class="n">keyword</span> <span class="ow">is</span> <span class="n">the</span> <span class="n">first</span> <span class="n">text</span> <span class="n">on</span> <span class="n">line</span><span class="p">)</span>
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<span class="n">N</span> <span class="mi">181</span> <span class="n">FP</span> <span class="mi">0</span> <span class="mi">0</span> <span class="n">EQ</span> <span class="mf">90.0</span> <span class="p">(</span><span class="n">N</span><span class="p">,</span> <span class="n">FP</span><span class="p">,</span> <span class="n">EQ</span> <span class="n">parameters</span><span class="p">)</span>
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<span class="p">(</span><span class="n">blank</span> <span class="n">line</span><span class="p">)</span>
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<span class="n">N</span> <span class="mi">181</span> <span class="n">FP</span> <span class="mi">0</span> <span class="mi">0</span> <span class="p">(</span><span class="n">N</span><span class="p">,</span> <span class="n">FP</span> <span class="n">parameters</span><span class="p">)</span>
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<span class="mi">1</span> <span class="mf">0.0</span> <span class="mf">200.5</span> <span class="mf">2.5</span> <span class="p">(</span><span class="n">index</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="n">energy</span><span class="p">,</span> <span class="n">derivative</span><span class="p">)</span>
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<span class="mi">2</span> <span class="mf">1.0</span> <span class="mf">198.0</span> <span class="mf">2.5</span>
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<span class="o">...</span>
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<span class="mi">181</span> <span class="mf">180.0</span> <span class="mf">0.0</span> <span class="mf">0.0</span>
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</pre></div>
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</div>
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<p>A section begins with a non-blank line whose 1st character is not a
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“#”; blank lines or lines starting with “#” can be used as comments
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between sections. The first line begins with a keyword which
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identifies the section. The line can contain additional text, but the
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initial text must match the argument specified in the
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<a class="reference internal" href="angle_coeff.html"><span class="doc">angle_coeff</span></a> command. The next line lists (in any
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order) one or more parameters for the table. Each parameter is a
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keyword followed by one or more numeric values.</p>
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<p>The parameter “N” is required and its value is the number of table
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entries that follow. Note that this may be different than the <em>N</em>
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specified in the <a class="reference internal" href="angle_style.html"><span class="doc">angle_style table</span></a> command. Let
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Ntable = <em>N</em> in the angle_style command, and Nfile = “N” in the
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tabulated file. What LAMMPS does is a preliminary interpolation by
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creating splines using the Nfile tabulated values as nodal points. It
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uses these to interpolate as needed to generate energy and derivative
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values at Ntable different points. The resulting tables of length
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Ntable are then used as described above, when computing energy and
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force for individual angles and their atoms. This means that if you
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want the interpolation tables of length Ntable to match exactly what
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is in the tabulated file (with effectively no preliminary
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interpolation), you should set Ntable = Nfile.</p>
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<p>The “FP” parameter is optional. If used, it is followed by two values
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fplo and fphi, which are the 2nd derivatives at the innermost and
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outermost angle settings. These values are needed by the spline
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construction routines. If not specified by the “FP” parameter, they
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are estimated (less accurately) by the first two and last two
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derivative values in the table.</p>
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<p>The “EQ” parameter is also optional. If used, it is followed by a the
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equilibrium angle value, which is used, for example, by the <a class="reference internal" href="fix_shake.html"><span class="doc">fix shake</span></a> command. If not used, the equilibrium angle is
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set to 180.0.</p>
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<p>Following a blank line, the next N lines list the tabulated values.
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On each line, the 1st value is the index from 1 to N, the 2nd value is
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the angle value (in degrees), the 3rd value is the energy (in energy
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units), and the 4th is -dE/d(theta) (also in energy units). The 3rd
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term is the energy of the 3-atom configuration for the specified
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angle. The last term is the derivative of the energy with respect to
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the angle (in degrees, not radians). Thus the units of the last term
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are still energy, not force. The angle values must increase from one
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line to the next. The angle values must also begin with 0.0 and end
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with 180.0, i.e. span the full range of possible angles.</p>
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<p>Note that one file can contain many sections, each with a tabulated
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potential. LAMMPS reads the file section by section until it finds
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one that matches the specified keyword.</p>
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<hr class="docutils" />
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<p>Styles with a <em>gpu</em>, <em>intel</em>, <em>kk</em>, <em>omp</em>, or <em>opt</em> suffix are
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functionally the same as the corresponding style without the suffix.
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They have been optimized to run faster, depending on your available
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hardware, as discussed in <a class="reference internal" href="Section_accelerate.html"><span class="doc">Section_accelerate</span></a>
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of the manual. The accelerated styles take the same arguments and
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should produce the same results, except for round-off and precision
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issues.</p>
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<p>These accelerated styles are part of the GPU, USER-INTEL, KOKKOS,
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USER-OMP and OPT packages, respectively. They are only enabled if
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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>
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<p>You can specify the accelerated styles explicitly in your input script
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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
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use the <a class="reference internal" href="suffix.html"><span class="doc">suffix</span></a> command in your input script.</p>
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<p>See <a class="reference internal" href="Section_accelerate.html"><span class="doc">Section_accelerate</span></a> of the manual for
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more instructions on how to use the accelerated styles effectively.</p>
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</div>
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<hr class="docutils" />
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<div class="section" id="restrictions">
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<h2>Restrictions</h2>
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<p>This angle style can only be used if LAMMPS was built with the
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MOLECULE package (which it is by default). 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>
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</div>
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<div class="section" id="related-commands">
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<h2>Related commands</h2>
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<p><a class="reference internal" href="angle_coeff.html"><span class="doc">angle_coeff</span></a></p>
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<p><strong>Default:</strong> none</p>
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