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Update document for v1.12.3
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@ -9,8 +9,8 @@ Auxiliary tools
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.. _auxiliary_tools_kaccum:
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``kaccum``
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-----------
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``phono3py-kaccum``
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--------------------
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Cumulative physical properties with respect to frequency or mean free
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path are calculated using this command.
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@ -19,7 +19,7 @@ For example, cumulative thermal conductivity is defined by
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.. math::
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\kappa^\text{c}(\omega) =
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\kappa^\text{c}(\omega) =
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\int^\omega_0 \sum_\lambda
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\kappa_\lambda \delta(\omega_\lambda - \omega') d\omega'
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@ -34,8 +34,8 @@ phonon mode :math:`\lambda`, which is defined as
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(The notations are found in http://arxiv.org/abs/1501.00691.)
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How to use ``kaccum``
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~~~~~~~~~~~~~~~~~~~~~
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How to use ``phono3py-kaccum``
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Let's computer lattice thermal conductivity of Si using the ``Si-PBEsol``
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example found in the example directory.
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@ -44,15 +44,16 @@ example found in the example directory.
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% phono3py --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell --mesh="11 11 11" --sym_fc3r --sym_fc2 --tsym --br
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Then using the output file, ``kappa-m111111.hdf5``, run ``kaccum`` as follows::
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Then using the output file, ``kappa-m111111.hdf5``, run
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``phono3py-kaccum`` as follows::
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% kaccum --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell kappa-m111111.hdf5 |tee kaccum.dat
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% phono3py-kaccum --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell kappa-m111111.hdf5 |tee kaccum.dat
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Here ``--pa`` is optional. The definition of ``--pa`` option is same as
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:ref:`pa_option`. ``POSCAR-unitcell`` is the unit cell filename that
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is specified with ``-c`` option.
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``kappa-m111111.hdf5`` is the output file of thermal conductivity
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calculation, which is passed to ``kaccum`` as the first argument.
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Here ``--pa`` is optional. The definition of ``--pa`` option is same
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as :ref:`pa_option`. ``POSCAR-unitcell`` is the unit cell filename
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that is specified with ``-c`` option. ``kappa-m111111.hdf5`` is the
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output file of thermal conductivity calculation, which is passed to
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``phono3py-kaccum`` as the first argument.
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The format of the output is as follows: The first column gives
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frequency in THz, and the second to seventh columns give the
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@ -95,12 +96,13 @@ POSCAR-unitcell``.
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``--pwscf``
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^^^^^^^^^^^^
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Let ``kaccum`` read a Pwscf unit cell file with ``-c`` option, for example::
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Let ``phono3py-kaccum`` read a Pwscf unit cell file with ``-c``
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option, for example::
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kaccum --pwscf --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c Si.in --temperature=300 kappa-m191919.hdf5
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phono3py-kaccum --pwscf --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c Si.in --temperature=300 kappa-m191919.hdf5
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.. |ipwscf| image:: Si-kaccum-pwscf.png
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:width: 25%
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:width: 25%
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|ipwscf|
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@ -149,7 +151,7 @@ The MFP cumulative :math:`\kappa^\text{c}(l)` is given by
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.. math::
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\kappa^\text{c}(l) =
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\kappa^\text{c}(l) =
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\int^l_0 \sum_\lambda
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\kappa_\lambda \delta(l_\lambda - l') dl'
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@ -164,7 +166,7 @@ as
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\mathbf{v}_\lambda \tau_\lambda = C_\lambda \mathbf{v}_\lambda \otimes
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\mathbf{l}_\lambda.
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The unit of MFP is Angstrom.
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The unit of MFP is Angstrom.
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The figure below shows the results of Si example with the
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:math:`19\times 19\times 19` and :math:`11\times 11\times 11` sampling
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@ -177,7 +179,7 @@ convergence.
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.. |iMFP| image:: Si-kaccum-MFP.png
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:width: 50%
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:width: 50%
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|iMFP|
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@ -215,12 +217,12 @@ such like DOS.
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``--gamma``
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^^^^^^^^^^^^
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:math:`\Gamma_\lambda(\omega_\lambda)` (in THz)
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:math:`\Gamma_\lambda(\omega_\lambda)` (in THz)
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``--tau``
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^^^^^^^^^^^
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Lifetime :math:`\tau_\lambda = \frac{1}{2\Gamma_\lambda(\omega_\lambda)}` (in ps)
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Lifetime :math:`\tau_\lambda = \frac{1}{2\Gamma_\lambda(\omega_\lambda)}` (in ps)
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``--cv``
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^^^^^^^^^
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@ -231,17 +233,17 @@ Modal heat capacity :math:`C_\lambda` (in eV/K)
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^^^^^^^^^^^^^^
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Absolute value of group velocity :math:`|\mathbf{v}_\lambda|` (in
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THz x Angstrom)
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THz x Angstrom)
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``--pqj``
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^^^^^^^^^^^^^^
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Averaged phonon-phonon interaction :math:`P_{\mathbf{q}j}` (in eV^2)
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Averaged phonon-phonon interaction :math:`P_{\mathbf{q}j}` (in eV^2)
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.. _auxiliary_tools_kdeplot:
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``kdeplot``
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------------
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``phono3py-kdeplot``
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---------------------
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**This script is under the development and may contain bugs.** But a
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feature is briefly introduced below since it may be useful. Scipy is
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@ -253,10 +255,10 @@ plane. Its density is estimated using Gaussian-KDE using `scipy
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Then (frequency, lifetime)-data points are superimposed on the density
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plot.
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``kdeplot`` reads a result of the thermal conductivity calculation as
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the first argument::
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``phono3py-kdeplot`` reads a result of the thermal conductivity
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calculation as the first argument::
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% kdeplot kappa-m111111.hdf5
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% phono3py-kdeplot kappa-m111111.hdf5
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This calculation takes some time from minutes to hours depending on
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mesh numbers and nbins. Therefore it is recommended to start with
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@ -303,7 +305,7 @@ better, but the computation will take more time.
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::
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% kdeplot --nbins=200 kappa-m111111.hdf5
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% phono3py-kdeplot --nbins=200 kappa-m111111.hdf5
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``--cutoff``, ``--fmax``
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^^^^^^^^^^^^^^^^^^^^^^^^^^
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@ -317,9 +319,6 @@ drawing area cuts high lifetime (frequency) side if the density is low.
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``--xmax`` and ``--ymax``
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^^^^^^^^^^^^^^^^^^^^^^^^^^
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**New**: The latest version of ``kdeplot`` is download at
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https://github.com/atztogo/phono3py/blob/develop/scripts/kdeplot.)
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Maximum values of drawing region of phonon frequency (x-axis) and
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lifetime (y-axis) are specified by ``--xmax`` and ``--ymax``,
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respectively.
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@ -330,14 +329,11 @@ computation will be roughly twice faster.
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::
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% kdeplot --ymax=60 kappa-m111111.hdf5
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% phono3py-kdeplot --ymax=60 kappa-m111111.hdf5
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``--zmax``
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^^^^^^^^^^^
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**New**: The latest version of ``kdeplot`` is download at
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https://github.com/atztogo/phono3py/blob/develop/scripts/kdeplot.)
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Maximum value of the density is specified with this option. The color
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along colorbar saturates by choosing a smaller value than the maximum value
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of density in the data.
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@ -347,9 +343,6 @@ of density in the data.
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``--dr``, ``--density_ratio``
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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**New**: The latest version of ``kdeplot`` is download at
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https://github.com/atztogo/phono3py/blob/develop/scripts/kdeplot.)
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The density threshold is specified by the ratio with respect to
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maximum density. Normally smaller value results in larger drawing
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region. The default value is 0.1. When ``--ymax`` is specified
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@ -357,14 +350,11 @@ together, this option is ignored.
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::
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% kdeplot --dr=0.01 kappa-m111111.hdf5
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% phono3py-kdeplot --dr=0.01 kappa-m111111.hdf5
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``--cmap``
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^^^^^^^^^^^
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**New**: The latest version of ``kdeplot`` is download at
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https://github.com/atztogo/phono3py/blob/develop/scripts/kdeplot.)
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Color map to be used for the density plot. It's given by the name
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presented at the matplotlib documentation,
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https://matplotlib.org/users/colormaps.html. The default colormap
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@ -372,24 +362,23 @@ depends on your matplotlib environment.
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::
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% kdeplot --cmap="OrRd" kappa-m111111.hdf5
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% phono3py-kdeplot --cmap="OrRd" kappa-m111111.hdf5
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The following figures are those drawn with ``jet``, ``bwr``,
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``seismic``, ``gnuplot``, ``hsv``, and ``OrRd`` colormaps.
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``seismic``, ``gnuplot``, ``hsv``, and ``OrRd`` colormaps.
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.. |ikde-jet| image:: Si-kdeplot-jet.png
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:width: 25%
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:width: 25%
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.. |ikde-bwr| image:: Si-kdeplot-bwr.png
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:width: 25%
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:width: 25%
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.. |ikde-seismic| image:: Si-kdeplot-seismic.png
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:width: 25%
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:width: 25%
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.. |ikde-gnuplot| image:: Si-kdeplot-gnuplot.png
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:width: 25%
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:width: 25%
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.. |ikde-hsv| image:: Si-kdeplot-hsv.png
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:width: 25%
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:width: 25%
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.. |ikde-OrRd| image:: Si-kdeplot-OrRd.png
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:width: 25%
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:width: 25%
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|ikde-jet| |ikde-bwr| |ikde-seismic| |ikde-gnuplot| |ikde-hsv| |ikde-OrRd|
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@ -3,6 +3,21 @@
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Change Log
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==========
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Nov-17-2017: version 1.12.3
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----------------------------
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- Command option parser of the phonopy tools is replaced from
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``optparse`` to ``argparse``.
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- The filenames used with these options were the positional arguments
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previously. Now they are the command-line arguments, i.e., filenames
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have to be put just after the option name like ``-f vasprun.xml-001
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vasprun.xml-002 ...``.
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- The names of auxiliary tools (``kdeplot`` and ``kaccum``) are
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changed, for which the prefix phono3py- is added to the old names to
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avoid accidental conflict with other script names already existing
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under bin directory.
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- :ref:`sigma_cutoff_option` option was created.
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Jun-18-2017: version 1.11.13
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----------------------------
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@ -151,8 +166,8 @@ Changes in version 0.8.11
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-------------------------
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- A new option of ``--cutoff_mfp`` for including effective boundary
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mean free path.
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- The option name ``--cutfc3`` is changed to ``--cutoff_fc3``.
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mean free path.
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- The option name ``--cutfc3`` is changed to ``--cutoff_fc3``.
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- The option name ``--cutpair`` is changed to ``--cutoff_pair``.
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- A new option ``--ga`` is created.
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- Fix spectrum plot of joint dos and imaginary part of self energy
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@ -240,5 +255,3 @@ Changes in version 0.6.0
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supercell forces, which makes the calculation much faster
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- When any phonon of triplets can be on the Brillouin zone boundary, i.e.,
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when a mesh number is an even number, it is more carefully treated.
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@ -3,6 +3,9 @@
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Command options / Setting tags
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=================================
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From phonopy v1.12.3, the command option names with underscores ``_``
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are replaced by those with dashes ``-``. Those tag names are unchanged.
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Command-user-interface of phono3py is operated with a variety of
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command options. Here those command options are explained.
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@ -96,7 +99,7 @@ detail at http://atztogo.github.io/phonopy/setting-tags.html#dim .
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.. _dim_fc2_option:
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``--dim_fc2``: Supercell dimension for 2nd order force constants
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``--dim-fc2``: Supercell dimension for 2nd order force constants
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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(Setting tag: ``DIM_FC2``)
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@ -113,11 +116,11 @@ Using this option with ``-d`` option, the structure files
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interfaces) and ``disp_fc2.yaml`` are created. These are used to
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calculate 2nd order force constants for the larger supercell size and
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these force calculations have to be done in addition to the usual
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force calculations for 3rd order force constants.
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force calculations for 3rd order force constants.
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::
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phono3py -d --dim="2 2 2" --dim_fc2="4 4 4" -c POSCAR-unitcell
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phono3py -d --dim="2 2 2" --dim-fc2="4 4 4" -c POSCAR-unitcell
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After the force calculations, ``--cf2`` option is used to create
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``FORCES_FC2``.
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@ -128,11 +131,11 @@ After the force calculations, ``--cf2`` option is used to create
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To calculate 2nd order force constants for the larger supercell size,
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``FORCES_FC2`` and ``disp_fc2.yaml`` are necessary. Whenever running
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phono3py for the larger 2nd order force constants, ``--dim_fc2``
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phono3py for the larger 2nd order force constants, ``--dim-fc2``
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option has to be specified. ``fc2.hdf5`` created as a result of
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running phono3py contains the 2nd order force constants with
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larger supercell size. The filename is the same as that created in the
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usual phono3py run without ``--dim_fc2`` option.
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usual phono3py run without ``--dim-fc2`` option.
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::
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@ -140,7 +143,7 @@ usual phono3py run without ``--dim_fc2`` option.
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.. _pa_option:
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``--pa``, ``--primitive_axis``: Transformation matrix to primitive cell
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``--pa``, ``--primitive-axis``: Transformation matrix to primitive cell
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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(Setting tag: ``PRIMITIVE_AXIS``)
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@ -165,7 +168,7 @@ Read 3rd order force constants from ``fc3.hdf5``.
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.. _symmetrization_option:
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``--sym_fc2``, ``--sym_fc3r``, ``--tsym``: Symmetries force constants
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``--sym-fc2``, ``--sym-fc3r``, ``--tsym``: Symmetries force constants
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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(Setting tags: ``SYMMETRIZE_FC2``, ``.TRUE.`` or ``.FALSE.``)
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@ -173,12 +176,12 @@ Read 3rd order force constants from ``fc3.hdf5``.
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(Setting tags: ``TRANSLATION``, ``.TRUE.`` or ``.FALSE.``)
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These are used to symmetrize second- and third-order force
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constants. ``--sym_fc2`` and ``--sym_fc3r`` symmetrize those in real
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constants. ``--sym-fc2`` and ``--sym-fc3r`` symmetrize those in real
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space by the index exchange, respectively, and ``--tsym`` symmetrizes
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by the translational invariance, respectively.
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..
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``--sym_fc3q`` symmetrizes third-order force constants in normal
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``--sym-fc3q`` symmetrizes third-order force constants in normal
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coordinates by the index exchange.
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When those force constants are not read from the hdf5 files,
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@ -197,7 +200,7 @@ located at the current directory.
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.. _cf3_file_option:
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``--cf3_file``: Create ``FORCES_FC3`` from file name list
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``--cf3-file``: Create ``FORCES_FC3`` from file name list
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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This is used to create ``FORCES_FC3`` from a file name
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@ -205,7 +208,7 @@ list. ``disp_fc3.yaml`` has to be located at the current directory.
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::
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% phono3py --cf3_file file_list.dat
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% phono3py --cf3-file file_list.dat
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where ``file_list.dat`` contains file names that can be recognized
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from the current directory and is expected to be like::
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@ -217,7 +220,7 @@ from the current directory and is expected to be like::
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...
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The order of the file names is important. This option may be useful
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to be used together with ``--cutoff_pair`` option.
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to be used together with ``--cutoff-pair`` option.
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.. _cf2_option:
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@ -234,7 +237,7 @@ necessary to run with ``--dim_fc2`` option.
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.. _fs2f2_option:
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``--fs2f2`` or ``--force_sets_to_forces_fc2``
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``--fs2f2`` or ``--force-sets-to-forces-fc2``
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Using this option, ``FORCES_FC2`` and ``disp_fc2.yaml`` are created
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@ -246,7 +249,7 @@ from phonopy ``FORCE_SETS`` file.
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.. _cfs_option:
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``--cfs`` or ``--create_force_sets``
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``--cfs`` or ``--create-force-sets``
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Using this option, phonopy's ``FORCE_SETS`` is created from
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@ -256,15 +259,15 @@ Using this option, phonopy's ``FORCE_SETS`` is created from
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% phono3py --cfs
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In conjunction with :ref:`--dim_fc2 <dim_fc2_option>`, phonopy's
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In conjunction with :ref:`--dim-fc2 <dim_fc2_option>`, phonopy's
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``FORCE_SETS`` is created from ``FORCES_FC2`` and ``disp_fc2.yaml``
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instead of ``FORCES_FC3`` and ``disp_fc3.yaml``.
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::
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% phono3py --cfs --dim_fc2="x x x"
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% phono3py --cfs --dim-fc2="x x x"
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``--cutoff_fc3`` or ``--cutoff_fc3_distance``
|
||||
``--cutoff-fc3`` or ``--cutoff-fc3-distance``
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``CUTOFF_FC3_DISTANCE``)
|
||||
|
@ -277,11 +280,11 @@ larger than the specified cut-off distance.
|
|||
|
||||
If one wants to reduce number of supercells, the first choice is to
|
||||
reduce the supercell size and the second choice is using
|
||||
``--cutoff_pair`` option.
|
||||
``--cutoff-pair`` option.
|
||||
|
||||
.. _cutoff_pair_option:
|
||||
|
||||
``--cutoff_pair`` or ``--cutoff_pair_distance``
|
||||
``--cutoff-pair`` or ``--cutoff-pair-distance``
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``CUTOFF_PAIR_DISTANCE``)
|
||||
|
@ -299,8 +302,8 @@ less numerical accuracy. More details are found in the following link:
|
|||
|
||||
cutoff-pair
|
||||
|
||||
Reciprocal space sampling mesh and grid points
|
||||
-----------------------------------------------
|
||||
Reciprocal space sampling mesh and grid points, and band indices
|
||||
-----------------------------------------------------------------
|
||||
|
||||
``--mesh``: Sampling mesh
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
@ -334,7 +337,7 @@ indices is obtained by running with ``--loglevel=2`` option.
|
|||
|
||||
::
|
||||
|
||||
% phono3py --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell --mesh="19 19 19" --fc3 --fc2 --br --write_gamma --gp="0 1 2 3 4 5"
|
||||
% phono3py --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell --mesh="19 19 19" --fc3 --fc2 --br --write-gamma --gp="0 1 2 3 4 5"
|
||||
|
||||
where ``--gp="0 1 2 3 4 5"`` can be also written
|
||||
``--gp="0,1,2,3,4,5"``. There is a similar option as this option,
|
||||
|
@ -388,6 +391,24 @@ points for specified sampling mesh numbers are shown. This can be used
|
|||
to estimate how large a calculation is. Only those for specific grid
|
||||
points are shown by using with ``--gp`` or ``--ga`` option.
|
||||
|
||||
.. _bi_option:
|
||||
|
||||
``--bi``: Specific band index
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``BAND_INDICES``)
|
||||
|
||||
Specify band indices. The output file name will be, e.g.,
|
||||
``gammas-mxxx-gxx(-sx)-bx.dat`` where ``bxbx...`` shows the band
|
||||
indices used to be averaged. The calculated values at indices
|
||||
separated by space are averaged, and those separated by comma are
|
||||
separately calculated.
|
||||
|
||||
::
|
||||
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" --mesh="16 16 16" \
|
||||
-c POSCAR-unitcell --nac --gp="34" --bi="4 5, 6"
|
||||
|
||||
Brillouin zone integration
|
||||
---------------------------
|
||||
|
||||
|
@ -418,6 +439,53 @@ Multiple :math:`\sigma` values are also specified by space separated
|
|||
numerical values. This is used when we want to test several
|
||||
:math:`\sigma` values simultaneously.
|
||||
|
||||
.. _sigma_cutoff_option:
|
||||
|
||||
``--sigma-cutoff``: Cutoff parameter for smearing method
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``SIGMA_CUTOFF_WIDTH``)
|
||||
|
||||
The tails of the Guassian functions that are used to replace delta
|
||||
functions in the equation shown at :ref:`--full-pp <full_pp_option>`
|
||||
are cut with this option. The value is specified in number of standard
|
||||
deviation. ``--sigma-cutoff=5`` gives the Gaussian functions to be cut
|
||||
at :math:`5\sigma`. Using this option scarifies the numerical
|
||||
accuracy. So the number has to be carefully tested. But computation of
|
||||
phonon-phonon interaction strength becomes much faster in exchange for
|
||||
it.
|
||||
|
||||
.. _full_pp_option:
|
||||
|
||||
``--full-pp``: Calculate all elements of phonon-phonon interaction strength
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``FULL_PP``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
For thermal conductivity calculation using the linear tetrahedron
|
||||
method (from version 1.10.5) and smearing method with
|
||||
``--simga-cutoff`` (from version 1.12.3), only necessary elements
|
||||
(i.e., that have non-zero delta functions) of phonon-phonon interaction strength,
|
||||
:math:`\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2`, is calculated
|
||||
due to delta functions in calculation of
|
||||
:math:`\Gamma_\lambda(\omega)`,
|
||||
|
||||
.. math::
|
||||
|
||||
\Gamma_\lambda(\omega) = \frac{18\pi}{\hbar^2}
|
||||
\sum_{\lambda' \lambda''}
|
||||
\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2
|
||||
\left\{(n_{\lambda'}+ n_{\lambda''}+1)
|
||||
\delta(\omega-\omega_{\lambda'}-\omega_{\lambda''}) \right.
|
||||
+ (n_{\lambda'}-n_{\lambda''})
|
||||
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''})
|
||||
- \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''})
|
||||
\right]\right\}.
|
||||
|
||||
But using this option, full elements of phonon-phonon interaction
|
||||
strength are calculated and averaged phonon-phonon interaction
|
||||
strength (:math:`P_{\mathbf{q}j}`) is also given.
|
||||
|
||||
Physical properties
|
||||
--------------------
|
||||
|
||||
|
@ -432,11 +500,11 @@ Boltzmann equation. Without specifying ``--gp`` (or ``--ga``) option,
|
|||
all necessary phonon lifetime calculations for grid points are
|
||||
sequentially executed and then thermal conductivity is calculated
|
||||
under RTA. The thermal conductivity and many related properties are
|
||||
written into ``kappa-mxxx.hdf5``.
|
||||
written into ``kappa-mxxx.hdf5``.
|
||||
|
||||
With ``--gp`` (or ``--ga``) option,
|
||||
phonon lifetimes on the specified grid points are calculated. To save
|
||||
the results, ``--write_gamma`` option has to be specified and the
|
||||
the results, ``--write-gamma`` option has to be specified and the
|
||||
physical properties belonging to the grid
|
||||
points are written into ``kappa-mxxx-gx(-sx).hdf5``.
|
||||
|
||||
|
@ -455,7 +523,7 @@ elements, which refers Laeter *et al.*, Pure Appl. Chem., **75**, 683
|
|||
|
||||
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br --isotope
|
||||
|
||||
``--mass_variances`` or ``--mv``: Parameter for phonon-isotope scattering
|
||||
``--mass-variances`` or ``--mv``: Parameter for phonon-isotope scattering
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``MASS_VARIANCES``)
|
||||
|
@ -473,13 +541,13 @@ without isotope calculation::
|
|||
Then running with isotope calculation::
|
||||
|
||||
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br \
|
||||
--read_gamma --mv="1.97e-4 1.97e-4 0 0"
|
||||
--read-gamma --mv="1.97e-4 1.97e-4 0 0"
|
||||
|
||||
In the result hdf5 file, currently isotope scattering strength is not
|
||||
written out, i.e., ``gamma`` is still imaginary part of self energy of
|
||||
ph-ph scattering.
|
||||
|
||||
``--boundary_mfp``, ``--bmfp``: Very simple phonon-boundary scattering model
|
||||
``--boundary-mfp``, ``--bmfp``: Very simple phonon-boundary scattering model
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``BOUNDARY_MFP``)
|
||||
|
@ -527,7 +595,7 @@ Non-analytical term correction for harmonic phonons. Like as phonopy,
|
|||
value of unit conversion factor is used even if it is written in the
|
||||
first line of ``BORN`` file.
|
||||
|
||||
``--q_direction``: Direction for non-analytical term correction at :math:`\mathbf{q}\rightarrow \mathbf{0}`
|
||||
``--q-direction``: Direction for non-analytical term correction at :math:`\mathbf{q}\rightarrow \mathbf{0}`
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``Q_DIRECTION``)
|
||||
|
@ -552,21 +620,21 @@ choice of G-vector, is made based on the first Brillouin zone.
|
|||
|
||||
.. _write_gamma_option:
|
||||
|
||||
``--write_gamma``
|
||||
``--write-gamma``
|
||||
~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``WRITE_GAMMA``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
Imaginary parts of self energy at harmonic phonon frequencies
|
||||
:math:`\Gamma_\lambda(\omega_\lambda)` are written
|
||||
into file in hdf5 format. The result is written into
|
||||
``kappa-mxxx-gx(-sx).hdf5`` or ``kappa-mxxx-gx-bx(-sx).hdf5`` with
|
||||
``--bi`` option. With ``--sigma`` option, ``-sx`` is inserted in front
|
||||
of ``.hdf5``.
|
||||
:math:`\Gamma_\lambda(\omega_\lambda)` are written into file in hdf5
|
||||
format. The result is written into ``kappa-mxxx-gx(-sx-sdx).hdf5`` or
|
||||
``kappa-mxxx-gx-bx(-sx-sdx).hdf5`` with ``--bi`` option. With
|
||||
``--sigma`` and ``--sigma-cutoff`` options, ``-sx`` and ``--sdx`` are
|
||||
inserted, respectively, in front of ``.hdf5``.
|
||||
|
||||
.. _read_gamma_option:
|
||||
|
||||
``--read_gamma``
|
||||
``--read-gamma``
|
||||
~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``READ_GAMMA``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
@ -574,22 +642,22 @@ of ``.hdf5``.
|
|||
Imaginary parts of self energy at harmonic phonon frequencies
|
||||
:math:`\Gamma_\lambda(\omega_\lambda)`
|
||||
are read from ``kappa`` file in hdf5 format. Initially the usual
|
||||
result file of ``kappa-mxxx(-sx).hdf5`` is searched. Unless it is
|
||||
result file of ``kappa-mxxx(-sx-sdx).hdf5`` is searched. Unless it is
|
||||
found, it tries to read ``kappa`` file for each grid point,
|
||||
``kappa-mxxx-gx(-sx).hdf5``. Then, similarly,
|
||||
``kappa-mxxx-gx(-sx).hdf5`` not found,
|
||||
``kappa-mxxx-gx-bx(-sx).hdf5`` files for band indices are searched.
|
||||
``kappa-mxxx-gx(-sx-sdx).hdf5``. Then, similarly,
|
||||
``kappa-mxxx-gx(-sx-sdx).hdf5`` not found,
|
||||
``kappa-mxxx-gx-bx(-sx-sdx).hdf5`` files for band indices are searched.
|
||||
|
||||
.. _write_detailed_gamma_option:
|
||||
|
||||
``--write_gamma_detail``
|
||||
``--write-gamma-detail``
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``WRITE_GAMMA_DETAIL``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
Each q-point triplet contribution to imaginary part of self energy is
|
||||
written into ``gamma_detail-mxxx-gx(-sx).hdf5`` file. Be careful that
|
||||
this is large data.
|
||||
written into ``gamma_detail-mxxx-gx(-sx-sdx).hdf5`` file. Be careful
|
||||
that this is large data.
|
||||
|
||||
In the output file in hdf5, following keys are used to extract the
|
||||
detailed information.
|
||||
|
@ -613,7 +681,7 @@ python script to obtain q-point triplets is shown below.
|
|||
|
||||
import h5py
|
||||
import numpy as np
|
||||
|
||||
|
||||
f = h5py.File("gamma_detail-mxxx-gx.hdf5")
|
||||
g = h5py.File("grid_address-mxxx.hdf5")
|
||||
grid_address = f['grid_address'][:]
|
||||
|
@ -628,7 +696,7 @@ following script:
|
|||
|
||||
import h5py
|
||||
import numpy as np
|
||||
|
||||
|
||||
f = h5py.File("gamma_detail-mxxx-gx.hdf5")
|
||||
temp = 30 # index of temperature
|
||||
gamma_tp = f['gamma_detail'][:].sum(axis=-1).sum(axis=-1)
|
||||
|
@ -638,13 +706,14 @@ following script:
|
|||
For example, for ``--lw`` or ``--br``, this ``gamma`` gives
|
||||
:math:`\Gamma_\lambda(\omega_\lambda)` of the band indices at the grid
|
||||
point indicated by :math:`\lambda` at the temperature of index 30. If
|
||||
any bands are degenerated, those ``gamma`` in ``kappa--mxxx-gx(-sx).hdf5``
|
||||
or ``gamma--mxxx-gx(-sx).hdf5`` type file are averaged, but the ``gamma``
|
||||
obtained here in this way are not symmetrized. Apart from this
|
||||
symmetrization, the values must be equivalent between them.
|
||||
any bands are degenerated, those ``gamma`` in
|
||||
``kappa-mxxx-gx(-sx-sdx).hdf5`` or ``gamma-mxxx-gx(-sx-sdx).hdf5``
|
||||
type file are averaged, but the ``gamma`` obtained here in this way
|
||||
are not symmetrized. Apart from this symmetrization, the values must
|
||||
be equivalent between them.
|
||||
|
||||
..
|
||||
``--write_amplitude``
|
||||
``--write-amplitude``
|
||||
~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
Interaction strengths of triplets are written into file in hdf5
|
||||
|
@ -660,13 +729,13 @@ symmetrization, the values must be equivalent between them.
|
|||
|
||||
Imaginary part of self energy :math:`\Gamma_\lambda(\omega)` is
|
||||
calculated with respect to :math:`\omega`. The output is written to
|
||||
``gammas-mxxxx-gx(-sx)-tx-bx.dat`` in THz (without :math:`2\pi`) with
|
||||
respect to frequency in THz (without :math:`2\pi`).
|
||||
``gammas-mxxx-gx(-sx)-tx-bx.dat`` in THz (without :math:`2\pi`)
|
||||
with respect to frequency in THz (without :math:`2\pi`).
|
||||
|
||||
::
|
||||
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" --mesh="16 16 16" -c POSCAR-unitcell \
|
||||
--nac --q_direction="1 0 0" --gp=0 --ise --bi="4 5, 6"
|
||||
--nac --q-direction="1 0 0" --gp=0 --ise --bi="4 5, 6"
|
||||
|
||||
.. _lw_option:
|
||||
|
||||
|
@ -677,12 +746,12 @@ respect to frequency in THz (without :math:`2\pi`).
|
|||
|
||||
Linewidth :math:`2\Gamma_\lambda(\omega_\lambda)` is calculated with
|
||||
respect to temperature. The output is written to
|
||||
``linewidth-mxxxx-gx(-sx)-bx.dat`` in THz (without :math:`2\pi`).
|
||||
``linewidth-mxxx-gx(-sx)-bx.dat`` in THz (without :math:`2\pi`).
|
||||
|
||||
::
|
||||
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" --mesh="16 16 16" -c POSCAR-unitcell \
|
||||
--nac --q_direction="1 0 0" --gp=0 --lw --bi="4 5, 6"
|
||||
--nac --q-direction="1 0 0" --gp=0 --lw --bi="4 5, 6"
|
||||
|
||||
|
||||
.. _jdos_option:
|
||||
|
@ -693,14 +762,14 @@ respect to temperature. The output is written to
|
|||
(Setting tag: ``JOINT_DOS``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
Two classes of joint density of states (JDOS) are calculated. The
|
||||
result is written into ``jdos-mxxxxxx-gx(-sx).dat`` in
|
||||
result is written into ``jdos-mxxx-gx(-sx-sdx).dat`` in
|
||||
:math:`\text{THz}^{-1}` (without :math:`(2\pi)^{-1}`) with
|
||||
respect to frequency in THz (without :math:`2\pi`). The first
|
||||
column is the frequency, and the second and third columns are the
|
||||
values given as follows, respectively,
|
||||
|
||||
.. math::
|
||||
|
||||
|
||||
&D_2^{(1)}(\mathbf{q}, \omega) = \frac{1}{N}
|
||||
\sum_{\lambda_1,\lambda_2}
|
||||
\left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2}) +
|
||||
|
@ -716,11 +785,11 @@ values given as follows, respectively,
|
|||
|
||||
When temperatures are specified, two classes of weighted JDOS are
|
||||
calculated. The result is written into
|
||||
``jdos-mxxxxxx-gx(-sx)-txxx.dat`` in :math:`\text{THz}^{-1}` (without
|
||||
:math:`(2\pi)^{-1}`) with respect to frequency in THz
|
||||
(without :math:`2\pi`). In the file name, ``txxx`` shows the
|
||||
temperature. The first column is the frequency, and the second and
|
||||
third columns are the values given as follows, respectively,
|
||||
``jdos-mxxx-gx(-sx)-txxx.dat`` in :math:`\text{THz}^{-1}` (without
|
||||
:math:`(2\pi)^{-1}`) with respect to frequency in THz (without
|
||||
:math:`2\pi`). In the file name, ``txxx`` shows the temperature. The
|
||||
first column is the frequency, and the second and third columns are
|
||||
the values given as follows, respectively,
|
||||
|
||||
.. math::
|
||||
|
||||
|
@ -739,78 +808,30 @@ third columns are the values given as follows, respectively,
|
|||
% phono3py --fc2 --dim="2 2 2" -c POSCAR-unitcell --mesh="16 16 16" \
|
||||
--nac --jdos --ga="0 0 0 8 8 8" --ts=300
|
||||
|
||||
``--num_freq_points``, ``--freq_pitch``: Sampling frequency for distribution functions
|
||||
``--num-freq-points``, ``--freq-pitch``: Sampling frequency for distribution functions
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``NUM_FREQUENCY_POINTS``)
|
||||
|
||||
For spectrum like calculations of imaginary part of self energy and
|
||||
JDOS, number of sampling frequency points is controlled by
|
||||
``--num_freq_points`` or ``--freq_pitch``.
|
||||
``--num-freq-points`` or ``--freq-pitch``.
|
||||
|
||||
.. _bi_option:
|
||||
|
||||
``--bi``: Specific band index
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``BAND_INDICES``)
|
||||
|
||||
Specify band indices. The output file name will be, e.g.,
|
||||
``gammas-mxxxxxx-gxx(-sx)-bx.dat`` where ``bxbx...`` shows the band indices
|
||||
used to be averaged. The calculated values at indices separated by
|
||||
space are averaged, and those separated by comma are separately
|
||||
calculated.
|
||||
|
||||
::
|
||||
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" --mesh="16 16 16" \
|
||||
-c POSCAR-unitcell --nac --gp="34" --bi="4 5, 6"
|
||||
|
||||
.. _full_pp_option:
|
||||
|
||||
``--full_pp``: Calculate all elements of phonon-phonon interaction strength
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``FULL_PP``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
After version 1.10.5, for RTA thermal conductivity calculation with
|
||||
using the linear tetrahedron method, only necessary part of
|
||||
phonon-phonon interaction strengh among phonons,
|
||||
:math:`\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2`, is
|
||||
calculated due to delta functions in calculation of
|
||||
:math:`\Gamma_\lambda(\omega)`,
|
||||
|
||||
.. math::
|
||||
|
||||
\Gamma_\lambda(\omega) = \frac{18\pi}{\hbar^2}
|
||||
\sum_{\lambda' \lambda''}
|
||||
\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2
|
||||
\left\{(n_{\lambda'}+ n_{\lambda''}+1)
|
||||
\delta(\omega-\omega_{\lambda'}-\omega_{\lambda''}) \right.
|
||||
+ (n_{\lambda'}-n_{\lambda''})
|
||||
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''})
|
||||
- \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''})
|
||||
\right]\right\}.
|
||||
|
||||
But specifying this option, full elements of phonon-phonon interaction
|
||||
strengh among phonons are calculated and averaged phonon-phonon
|
||||
interaction strength (:math:`P_{\mathbf{q}j}`) is also given.
|
||||
|
||||
``--ave_pp``: Use averaged phonon-phonon interaction strength
|
||||
``--ave-pp``: Use averaged phonon-phonon interaction strength
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``USE_AVE_PP``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
||||
Averaged phonon-phonon interaction strength (:math:`P_{\mathbf{q}j}`)
|
||||
is used to calculate imaginary part of self energy in thermal
|
||||
conductivity calculation. This option works
|
||||
only when ``--read_gamma`` and ``--br`` options are activated where
|
||||
the averaged phonon-phonon interaction that is read from
|
||||
``kappa-mxxxxx.hdf5`` file is used if it exists in the file. Therefore the
|
||||
averaged phonon-phonon interaction has to be stored before using this
|
||||
option (see :ref:`full_pp_option`). The calculation result
|
||||
**overwrites** ``kappa-mxxxxx.hdf5`` file. Therefore to use this
|
||||
option together with ``-o`` option is strongly recommended.
|
||||
conductivity calculation. This option works only when ``--read-gamma``
|
||||
and ``--br`` options are activated where the averaged phonon-phonon
|
||||
interaction that is read from ``kappa-mxxx(-sx-sdx).hdf5`` file is
|
||||
used if it exists in the file. Therefore the averaged phonon-phonon
|
||||
interaction has to be stored before using this option (see
|
||||
:ref:`full_pp_option`). The calculation result **overwrites**
|
||||
``kappa-mxxx(-sx-sdx).hdf5`` file. Therefore to use this option
|
||||
together with ``-o`` option is strongly recommended.
|
||||
|
||||
First, run full conductivity calculation,
|
||||
|
||||
|
@ -823,9 +844,9 @@ Then
|
|||
::
|
||||
|
||||
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br \
|
||||
--read_gamma --ave_pp -o ave_pp
|
||||
--read-gamma --ave-pp -o ave_pp
|
||||
|
||||
``--const_ave_pp``: Use constant phonon-phonon interaction strength
|
||||
``--const-ave-pp``: Use constant phonon-phonon interaction strength
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
||||
(Setting tag: ``CONSTANT_AVERAGED_PP_INTERACTION``, ``.TRUE.`` or ``.FALSE.``)
|
||||
|
@ -837,9 +858,9 @@ activated. Therefore third-order force constants are not necessary to
|
|||
input. The physical unit of the value is :math:`\text{eV}^2`.
|
||||
|
||||
::
|
||||
|
||||
|
||||
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br \
|
||||
--const_ave_pp=1e-10
|
||||
--const-ave-pp=1e-10
|
||||
|
||||
``--gruneisen``: Mode-Gruneisen parameter from 3rd order force constants
|
||||
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
||||
|
@ -850,7 +871,7 @@ Mode-Gruneisen-parameters are calculated from fc3.
|
|||
|
||||
Mesh sampling mode::
|
||||
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" -v --mesh="16 16 16"
|
||||
% phono3py --fc3 --fc2 --dim="2 2 2" -v --mesh="16 16 16"
|
||||
-c POSCAR-unitcell --nac --gruneisen
|
||||
|
||||
Band path mode::
|
||||
|
|
26
doc/conf.py
26
doc/conf.py
|
@ -50,9 +50,9 @@ copyright = u'2015, Atsushi Togo'
|
|||
# built documents.
|
||||
#
|
||||
# The short X.Y version.
|
||||
version = '1.11.13'
|
||||
version = '1.12.3'
|
||||
# The full version, including alpha/beta/rc tags.
|
||||
release = '1.11.13'
|
||||
release = '1.12.3'
|
||||
|
||||
# The language for content autogenerated by Sphinx. Refer to documentation
|
||||
# for a list of supported languages.
|
||||
|
@ -103,10 +103,10 @@ html_theme = 'bootstrap'
|
|||
html_theme_options = {
|
||||
# Navigation bar title. (Default: ``project`` value)
|
||||
'navbar_title': "Phono3py",
|
||||
|
||||
|
||||
# Tab name for entire site. (Default: "Site")
|
||||
'navbar_site_name': "Site",
|
||||
|
||||
|
||||
# A list of tuples containing pages or urls to link to.
|
||||
# Valid tuples should be in the following forms:
|
||||
# (name, page) # a link to a page
|
||||
|
@ -121,17 +121,17 @@ html_theme_options = {
|
|||
# 'navbar_links': [
|
||||
# ("Options", "command-options"),
|
||||
# ],
|
||||
|
||||
|
||||
# Render the next and previous page links in navbar. (Default: true)
|
||||
'navbar_sidebarrel': True,
|
||||
|
||||
|
||||
# Render the current pages TOC in the navbar. (Default: true)
|
||||
'navbar_pagenav': True,
|
||||
|
||||
|
||||
# Global TOC depth for "site" navbar tab. (Default: 1)
|
||||
# Switching to -1 shows all levels.
|
||||
'globaltoc_depth': 2,
|
||||
|
||||
|
||||
# Include hidden TOCs in Site navbar?
|
||||
#
|
||||
# Note: If this is "false", you cannot have mixed ``:hidden:`` and
|
||||
|
@ -140,28 +140,28 @@ html_theme_options = {
|
|||
#
|
||||
# Values: "true" (default) or "false"
|
||||
'globaltoc_includehidden': "true",
|
||||
|
||||
|
||||
# HTML navbar class (Default: "navbar") to attach to <div> element.
|
||||
# For black navbar, do "navbar navbar-inverse"
|
||||
# 'navbar_class': "navbar navbar-inverse",
|
||||
'navbar_class': "navbar",
|
||||
|
||||
|
||||
# Fix navigation bar to top of page?
|
||||
# Values: "true" (default) or "false"
|
||||
'navbar_fixed_top': "true",
|
||||
|
||||
|
||||
# Location of link to source.
|
||||
# Options are "nav" (default), "footer" or anything else to exclude.
|
||||
# 'source_link_position': "nav",
|
||||
'source_link_position': "footer",
|
||||
|
||||
|
||||
# Bootswatch (http://bootswatch.com/) theme.
|
||||
#
|
||||
# Options are nothing with "" (default) or the name of a valid theme
|
||||
# such as "amelia" or "cosmo".
|
||||
# 'bootswatch_theme': "united",
|
||||
'bootswatch_theme': "cosmo",
|
||||
|
||||
|
||||
# Choose Bootstrap version.
|
||||
# Values: "3" (default) or "2" (in quotes)
|
||||
'bootstrap_version': "3",
|
||||
|
|
|
@ -173,7 +173,7 @@ An example of installation process
|
|||
|
||||
1. Download miniconda package
|
||||
|
||||
Miniconda is downloaded at https://conda.io/miniconda.html.
|
||||
Miniconda is downloaded at https://conda.io/miniconda.html.
|
||||
|
||||
For usual 64-bit Linux system::
|
||||
|
||||
|
@ -181,7 +181,12 @@ An example of installation process
|
|||
|
||||
For macOS, it is assumed that gcc compiler is installed on your system. The
|
||||
compiler such as default clang on macOS can't handle OpenMP, so it
|
||||
can't be used. The gcc compiler may be installed using MacPort, e.g.::
|
||||
can't be used. The gcc compiler may be installed using homebrew,
|
||||
e.g.::
|
||||
|
||||
% brew install gcc
|
||||
|
||||
or using MacPort, e.g.::
|
||||
|
||||
% sudo port install gcc7 wget
|
||||
|
||||
|
@ -206,7 +211,7 @@ An example of installation process
|
|||
|
||||
Install the latest phonopy and phono3py::
|
||||
|
||||
% export CC=gcc # only for macOS
|
||||
% export CC=gcc # only for macOS (macport), CC=gcc-7 for homebrew
|
||||
% git clone https://github.com/atztogo/phonopy.git
|
||||
% cd phonopy
|
||||
% python setup.py install --user
|
||||
|
|
Loading…
Reference in New Issue