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Merge pull request brucefan1983#1398 from duanzaixu/gitpr
Update Manual PDF
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doc/GPUMD-Manual.pdf

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doc/gpumd/input_files/kpoints_in.rst

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The format of this file must be as follows:
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.. code::
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# high symmetry points
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k_points_x(0) k_points_y(0) k_points_z(0) name(0)
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k_points_x(1) k_points_y(1) k_points_z(1) name(1)
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...
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# high symmetry points
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k_points_x(0) k_points_y(0) k_points_z(0) name(0)
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k_points_x(1) k_points_y(1) k_points_z(1) name(1)
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...
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Example
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-------
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For example, the command::
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For example, the command:
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.. code::
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doc/gpumd/output_files/omega2_out.rst

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File format
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-----------
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There are :attr:`N_kpoints` rows and :attr:`3 * N_basis` columns, where :attr:`N_basis` is the number of basis atoms in the unit cell defined in the :ref:`basis.in input file <basis_in>` and :attr:`N_kpoints` is the number of :math:`\boldsymbol{k}`-points in the :ref:`kpoints.in input file <kpoints_in>`.
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There are :attr:`N_kpoints` rows and :attr:`3 * N_basis + 1` columns, where :attr:`N_basis` is the number of atoms in model.xyz, and :attr:`N_kpoints` is the number of k-points generated from high-symmetry points in the :ref:`kpoints.in input file <kpoints_in>`.
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Each line corresponds to one :math:`\boldsymbol{k}`-point.
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Each line contains :attr:`3 * N_basis` numbers, corresponding to the :attr:`3 * N_basis` values for :math:`\omega^2(\boldsymbol{k})` (in units of THz\ :sup:`2`) in the order of increasing magnitude.
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Each line contains :attr:`3 * N_basis + 1` numbers, the first column represents the relative distance along the high-symmetry path, while the remaining columns correspond to the :attr:`3 * N_basis` values for :math:`\omega^2(\boldsymbol{k})` (in units of THz\ :sup:`2`) in the order of increasing magnitude.

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