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lammps/doc/src/angle_cosine_periodic.rst

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.. index:: angle_style cosine/periodic
.. index:: angle_style cosine/periodic/omp
angle_style cosine/periodic command
===================================
Accelerator Variants: *cosine/periodic/omp*
Syntax
""""""
.. code-block:: LAMMPS
angle_style cosine/periodic
Examples
""""""""
.. code-block:: LAMMPS
angle_style cosine/periodic
angle_coeff * 75.0 1 6
Description
"""""""""""
The *cosine/periodic* angle style uses the following potential, which may be
particularly used for organometallic systems where :math:`n` = 4 might be used
for an octahedral complex and :math:`n` = 3 might be used for a trigonal
center:
.. math::
E = \frac{2.0}{n^2} * C \left[ 1 - B(-1)^n\cos\left( n\theta\right) \right]
where :math:`C`, :math:`B` and :math:`n` are coefficients defined for each angle type.
The following coefficients must be defined for each angle type via the
:doc:`angle_coeff <angle_coeff>` command as in the example above, or in
the data file or restart files read by the :doc:`read_data <read_data>`
or :doc:`read_restart <read_restart>` commands:
* :math:`C` (energy)
* :math:`B` = 1 or -1
* :math:`n` = 1, 2, 3, 4, 5 or 6 for periodicity
Note that the prefactor :math:`C` is specified as coefficient and not the overall force
constant :math:`K = \frac{2 C}{n^2}`. When :math:`B = 1`, it leads to a minimum for the
linear geometry. When :math:`B = -1`, it leads to a maximum for the linear geometry.
----------
.. include:: accel_styles.rst
----------
Restrictions
""""""""""""
This angle style can only be used if LAMMPS was built with the
EXTRA-MOLECULE package. See the :doc:`Build package <Build_package>` doc page
for more info.
Related commands
""""""""""""""""
:doc:`angle_coeff <angle_coeff>`
Default
"""""""
none