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lammps/doc/src/improper_cossq.rst
2021-07-09 16:54:00 -04:00

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.. index:: improper_style cossq
.. index:: improper_style cossq/omp
improper_style cossq command
============================
Accelerator Variants: *cossq/omp*
Syntax
""""""
.. code-block:: LAMMPS
improper_style cossq
Examples
""""""""
.. code-block:: LAMMPS
improper_style cossq
improper_coeff 1 4.0 0.0
Description
"""""""""""
The *cossq* improper style uses the potential
.. math::
E = \frac{1}{2} K \cos^2{\left(\chi - \chi_0\right)}
where :math:`\chi` is the improper angle, :math:`\chi_0` is its
equilibrium value, and :math:`K` is a prefactor.
If the 4 atoms in an improper quadruplet (listed in the data file read
by the :doc:`read_data <read_data>` command) are ordered I,J,K,L then
:math:`\chi` is the angle between the plane of I,J,K and the plane of J,K,L.
Alternatively, you can think of atoms J,K,L as being in a plane, and
atom I above the plane, and :math:`\chi` as a measure of how far
out-of-plane I is with respect to the other 3 atoms.
Note that defining 4 atoms to interact in this way, does not mean that
bonds necessarily exist between I-J, J-K, or K-L, as they would in a
linear dihedral. Normally, the bonds I-J, I-K, I-L would exist for an
improper to be defined between the 4 atoms.
The following coefficients must be defined for each improper type via
the :doc:`improper_coeff <improper_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:`K` (energy)
* :math:`\chi_0` (degrees)
----------
.. include:: accel_styles.rst
----------
Restrictions
""""""""""""
This improper style can only be used if LAMMPS was built with the
MOLECULE package. See the :doc:`Build package <Build_package>` doc
page for more info.
Related commands
""""""""""""""""
:doc:`improper_coeff <improper_coeff>`
Default
"""""""
none