mirror of https://github.com/phonopy/phono3py.git
Update document for cutoff_pair option
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@ -187,6 +187,8 @@ located at the current directory.
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% phono3py --cf3 disp-{00001..00755}/vasprun.xml
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.. _cf3_file_option:
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``--cf3_file``: Create ``FORCES_FC3`` from file name list
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@ -237,129 +239,25 @@ If one wants to reduce number of supercells, the first choice is to
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reduce the supercell size and the second choice is using
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``--cutoff_pair`` option.
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.. _cutoff_pair_option:
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``--cutoff_pair`` or ``--cutoff_pair_distance``
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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(Setting tag: ``CUTOFF_PAIR_DISTANCE``)
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This option is only used together with ``-d`` option. Using this
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option, number of supercells with displacements is reduced and a
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special ``disp_fc3.yaml`` is created. This special ``disp_fc3.yaml``
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contains the information of the distance and which configurations of
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pair-displacements are included or not included.
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This option is only used together with ``-d`` option.
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Cut-off pair distance is used to cut-off the number of configurations
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of pair-displacements. ``POSCAR-xxxxx`` (in the other calculator
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interface, the prefix of the filename is different) are not generated
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if distance between a pair of atoms to be displaced is larger than the
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specified cut-off pair distance. The indexing number (``xxxxx``)
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corresponds to that of the case without setting this option, i.e., the
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same ``POSCAR-xxxxx`` files are created for the same configurations of
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pairs of displacements but ``POSCAR-xxxxx`` files not being included
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are not generated. The reason of this indexing is that it can be
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useful when changing the cutoff-pair-distance.
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A cutoff pair-distance in a supercell is used to reduce the number of
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necessary supercells with displacements to obtain third order force
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constants. As the drawback, a certain number of
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third-order-force-constants elements are abandoned or computed with
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less numerical accuracy. More details are found in the following link:
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To create ``FORCES_FC3``, only the respective output files containing
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forces are necessary to be given to ``phono3py`` command as the
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arguments.
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.. toctree::
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:maxdepth: 1
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An example is shown below using the Si example.
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::
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% phono3py --cutoff_pair=5 -d --dim="2 2 2" -c POSCAR-unitcell
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_ _____
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_ __ | |__ ___ _ __ ___|___ / _ __ _ _
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| '_ \| '_ \ / _ \| '_ \ / _ \ |_ \| '_ \| | | |
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| |_) | | | | (_) | | | | (_) |__) | |_) | |_| |
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| .__/|_| |_|\___/|_| |_|\___/____/| .__/ \__, |
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|_| |_| |___/
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1.11.7
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Run mode: displacements
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Displacement distance: 0.03
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Number of displacements: 111
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Cutoff distance for displacements: 5.0
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Number of displacement supercell files created: 51
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_
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___ _ __ __| |
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/ _ \ '_ \ / _` |
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| __/ | | | (_| |
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\___|_| |_|\__,_|
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% ls POSCAR-0*
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POSCAR-00001 POSCAR-00032 POSCAR-00043 POSCAR-00080 POSCAR-00097
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POSCAR-00002 POSCAR-00033 POSCAR-00070 POSCAR-00081 POSCAR-00098
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POSCAR-00003 POSCAR-00034 POSCAR-00071 POSCAR-00082 POSCAR-00099
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POSCAR-00016 POSCAR-00035 POSCAR-00072 POSCAR-00083 POSCAR-00100
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POSCAR-00017 POSCAR-00036 POSCAR-00073 POSCAR-00084 POSCAR-00101
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POSCAR-00018 POSCAR-00037 POSCAR-00074 POSCAR-00085 POSCAR-00102
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POSCAR-00019 POSCAR-00038 POSCAR-00075 POSCAR-00086 POSCAR-00103
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POSCAR-00024 POSCAR-00039 POSCAR-00076 POSCAR-00087
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POSCAR-00025 POSCAR-00040 POSCAR-00077 POSCAR-00088
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POSCAR-00026 POSCAR-00041 POSCAR-00078 POSCAR-00089
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POSCAR-00027 POSCAR-00042 POSCAR-00079 POSCAR-00096
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::
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For example, supporse forces are calculated using VASP in
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``disp-xxxxx`` directories, after running force calculations,
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``FORCES_FC3`` is created as follows::
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% phono3py --cf3 disp-{00001,00002,00003,00016,00017,00018,00019,00024,00025,00026,00027,00032,00033,00034,00035,00036,00037,00038,00039,00040,00041,00042,00043,00070,00071,00072,00073,00074,00075,00076,00077,00078,00079,00080,00081,00082,00083,00084,00085,00086,00087,00088,00089,00096,00097,00098,00099,00100,00101,00102,00103}/vasprun.xml
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_ _____
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_ __ | |__ ___ _ __ ___|___ / _ __ _ _
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| '_ \| '_ \ / _ \| '_ \ / _ \ |_ \| '_ \| | | |
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| |_) | | | | (_) | | | | (_) |__) | |_) | |_| |
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| .__/|_| |_|\___/|_| |_|\___/____/| .__/ \__, |
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|_| |_| |___/
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1.11.7
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Displacement dataset is read from disp_fc3.yaml.
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counter (file index): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
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FORCES_FC3 has been created.
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_
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___ _ __ __| |
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/ _ \ '_ \ / _` |
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| __/ | | | (_| |
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\___|_| |_|\__,_|
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Here one must mind that since the special ``disp_fc3.yaml`` is read in
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creating ``FORCES_FC3``, it has to be located on the current directory.
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Although it depends on computer systems, to obtain the list of file
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indices, a small shell one-liner may be used::
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% for i in `ls POSCAR-0*|sed s/POSCAR-//`;do echo -n $i,;done
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00001,00002,00003,00016,00017,00018,00019,00024,00025,00026,00027,00032,00033,00034,00035,00036,00037,00038,00039,00040,00041,00042,00043,00070,00071,00072,00073,00074,00075,00076,00077,00078,00079,00080,00081,00082,00083,00084,00085,00086,00087,00088,00089,00096,00097,00098,00099,00100,00101,00102,00103,
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When the number of force files is large, using ``--cf3_file`` option
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may be better::
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% for i in `ls POSCAR-0*|sed s/POSCAR-//`;do echo disp-$i/vasprun.xml;done > file_list.dat
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% phono3py --cf3_file file_list.dat
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Using a python script, ``disp_fc3.yaml`` is easily parsed. So it is also
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easy to create the file list by a python script such as
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::
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#!/usr/bin/env python
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import yaml
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file_name_tmpl = "disp-%05d/vasprun.xml"
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dds = yaml.load(open("disp_fc3.yaml"))
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count = 1
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for d1 in dds['first_atoms']:
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print(file_name_tmpl % count)
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count += 1
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for d1 in dds['first_atoms']:
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for d2 in d1['second_atoms']:
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for d in d2['displacements']:
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if d2['included']:
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print(file_name_tmpl % count)
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count += 1
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cutoff-pair
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Reciprocal space sampling mesh and grid points
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-----------------------------------------------
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@ -26,7 +26,7 @@ import sphinx_bootstrap_theme
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# Add any Sphinx extension module names here, as strings. They can be extensions
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# coming with Sphinx (named 'sphinx.ext.*') or your custom ones.
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extensions = ['sphinx.ext.pngmath']
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extensions = ['sphinx.ext.imgmath']
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# Add any paths that contain templates here, relative to this directory.
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templates_path = ['_templates']
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@ -0,0 +1,353 @@
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.. _command_cutoff_pair:
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Reducing number of force calculations by cutoff pair-distance
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=============================================================
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The detail of the command option :ref:`cutoff_pair_option` is
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described.
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.. contents::
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:depth: 2
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:local:
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Cutff pair-distance
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--------------------
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Using ``--cutoff_pair`` option, number of supercells with
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displacements to be calculated is reduced. But of course this
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sacrificed the accuracy of third-order force constants (fc3).
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In phono3py, to fill elements of fc3 of a supercell, forces in many
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supercells having different pairs of displaced atoms are computed
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using some force-calculator such as ab-initio code. In the phono3py
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default behaviour, full elements of fc3 are computed. In this case,
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depending on the number of atoms in the supercell and the crystal
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symmetry, the configuration of atomic pairs can be huge and beyond our
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computational resource.
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However fc3 interaction range among triplets of atoms may be short
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enough. If it is the case, we may be allowed to omit computing some
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elements of fc3. This is what achieved by ``--cutoff_pair`` option.
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A fc3 element is made of three atoms in the supercell. Two of three
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are finitely displaced (:math:`\Delta\mathbf{r}_1` and
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:math:`\Delta\mathbf{r}_2`) but one of them is included in a force
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given by the force calculator
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(:math:`-\frac{\partial\Phi}{\partial\mathbf{r}_3}`). The cutoff
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distance :math:`d_\text{cut}` is defined as the upper bound of the
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distance between the former two atoms that are considered for the
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force calculations, i.e., the set of atomic pairs
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:math:`\{(\mathbf{r}_1,\mathbf{r}_2)| |\mathbf{r}_1 - \mathbf{r}_2| <
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d_\text{cut}\}` is selected. By this, when three distances among the
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three atoms of triplets are all larger than :math:`d_\text{cut}`,
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those fc3 elements can not be obtained and so they are set to be zero.
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Usage
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------
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Creating supercells with displacements
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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``-cutoff_pair`` option is employed when creating supercells with
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displacements, therefore this option must be used with ``-d`` option
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when running phono3py, for example for the Si example::
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% phono3py --cutoff_pair=5 -d --dim="2 2 2" -c POSCAR-unitcell
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_ _____
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_ __ | |__ ___ _ __ ___|___ / _ __ _ _
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| '_ \| '_ \ / _ \| '_ \ / _ \ |_ \| '_ \| | | |
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| |_) | | | | (_) | | | | (_) |__) | |_) | |_| |
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| .__/|_| |_|\___/|_| |_|\___/____/| .__/ \__, |
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1.11.11
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Run mode: displacements
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Displacement distance: 0.03
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Number of displacements: 111
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Cutoff distance for displacements: 5.0
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Number of displacement supercell files created: 51
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_
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___ _ __ __| |
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/ _ \ '_ \ / _` |
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| __/ | | | (_| |
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\___|_| |_|\__,_|
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% ls POSCAR-0*
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POSCAR-00001 POSCAR-00032 POSCAR-00043 POSCAR-00080 POSCAR-00097
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POSCAR-00002 POSCAR-00033 POSCAR-00070 POSCAR-00081 POSCAR-00098
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POSCAR-00003 POSCAR-00034 POSCAR-00071 POSCAR-00082 POSCAR-00099
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POSCAR-00016 POSCAR-00035 POSCAR-00072 POSCAR-00083 POSCAR-00100
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POSCAR-00017 POSCAR-00036 POSCAR-00073 POSCAR-00084 POSCAR-00101
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POSCAR-00018 POSCAR-00037 POSCAR-00074 POSCAR-00085 POSCAR-00102
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POSCAR-00019 POSCAR-00038 POSCAR-00075 POSCAR-00086 POSCAR-00103
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POSCAR-00024 POSCAR-00039 POSCAR-00076 POSCAR-00087
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POSCAR-00025 POSCAR-00040 POSCAR-00077 POSCAR-00088
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POSCAR-00026 POSCAR-00041 POSCAR-00078 POSCAR-00089
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POSCAR-00027 POSCAR-00042 POSCAR-00079 POSCAR-00096
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% ls POSCAR-0*|wc -l
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51
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``Number of displacements: 111`` shows the number of supercells with
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displacements when this is run without ``--cutoff_pair``
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option. ``Number of displacement supercell files created: 51`` gives
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the contracted number of supercells with displacements by
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``--cutoff_pair`` option. There number of ``POSCAR-0xxxx`` files is found
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51. At this step, a special ``disp_fc3.yaml`` is created. This
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contains information on this contraction and used in the other
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calculation step, therefore this file must be kept carefully.
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Supercell files
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^^^^^^^^^^^^^^^^
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``POSCAR-xxxxx`` (in the other calculator interface, the prefix of the
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filename is different) are not generated if distance between a pair of
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atoms to be displaced is larger than the specified cutoff pair
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distance. The indexing number (``xxxxx``) corresponds to that of the
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case without setting this option, i.e., the same ``POSCAR-xxxxx``
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files are created for the same configurations of pairs of
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displacements but ``POSCAR-xxxxx`` files not being included are not
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generated. The reason of this indexing is that it can be useful when
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changing the cutoff-pair-distance.
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Special ``disp_fc3.yaml``
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^^^^^^^^^^^^^^^^^^^^^^^^^^
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Using ``-cutoff_pair`` option together with ``-d`` option, a special
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``disp_fc3.yaml`` is created. This contains information on distances
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between displaced atomic-pairs and whether those pairs are to be
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computed or not. This special ``disp_fc3.yaml`` is necessary to create
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fc3, therefore be careful not to overwrite it by running the option
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``-d`` without ``-cutoff_pair`` or with different ``-cutoff_pair``
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with different value.
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Making ``FORCES_FC3``
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~~~~~~~~~~~~~~~~~~~~~~
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To create ``FORCES_FC3``, only output files of the supercells created
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using ``--cutoff_pair`` option are passed to ``phono3py`` as the
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arguments. The special ``disp_fc3.yaml`` file is necessary to be
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located at current directory.
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An example is shown below for the Si example. Here, it is supposed
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that forces are calculated using VASP in ``disp-xxxxx``
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directories. After running force calculations, there should be the
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output file containing forces in each directory (for VASP
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``vasprun.xml``).
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::
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% phono3py --cf3 disp-{00001,00002,00003,00016,00017,00018,00019,00024,00025,00026,00027,00032,00033,00034,00035,00036,00037,00038,00039,00040,00041,00042,00043,00070,00071,00072,00073,00074,00075,00076,00077,00078,00079,00080,00081,00082,00083,00084,00085,00086,00087,00088,00089,00096,00097,00098,00099,00100,00101,00102,00103}/vasprun.xml
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_ _____
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_ __ | |__ ___ _ __ ___|___ / _ __ _ _
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| '_ \| '_ \ / _ \| '_ \ / _ \ |_ \| '_ \| | | |
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| |_) | | | | (_) | | | | (_) |__) | |_) | |_| |
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| .__/|_| |_|\___/|_| |_|\___/____/| .__/ \__, |
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|_| |_| |___/
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1.11.7
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Displacement dataset is read from disp_fc3.yaml.
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counter (file index): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51
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FORCES_FC3 has been created.
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_
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___ _ __ __| |
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/ _ \ '_ \ / _` |
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| __/ | | | (_| |
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\___|_| |_|\__,_|
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Using :ref:`--cf3_file option <cf3_file_option>` may be recommended
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when the number of force files is large. ::
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% for i in `ls POSCAR-0*|sed s/POSCAR-//`;do echo disp-$i/vasprun.xml;done > file_list.dat
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% phono3py --cf3_file file_list.dat
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Using a python script, ``disp_fc3.yaml`` is easily parsed. So
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it is also easy to create the file list by a python
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script::
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#!/usr/bin/env python
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import yaml
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file_name_tmpl = "disp-%05d/vasprun.xml"
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dds = yaml.load(open("disp_fc3.yaml"))
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count = 1
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for d1 in dds['first_atoms']:
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print(file_name_tmpl % count)
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count += 1
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for d1 in dds['first_atoms']:
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for d2 in d1['second_atoms']:
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for d in d2['displacements']:
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if d2['included']:
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print(file_name_tmpl % count)
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count += 1
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Running phonon-phonon interaction calculation
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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To create fc3, ``--cutoff_pair`` option is not necessary but the
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special ``disp_fc3.yaml`` is required.
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::
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% phono3py --dim="2 2 2" -c POSCAR-unitcell
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...
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Displacement dataset is read from disp_fc3.yaml.
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Sets of supercell forces are read from FORCES_FC3.
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Solving fc3[ 1, x, x ] with a displacement:
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[ 0.0300 0.0000 0.0000]
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Expanding fc3
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Cutting-off fc3 (cut-off distance: 5.000000)
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Building atom mapping table...
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Creating contracted fc3...
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Writing fc3 to fc3.hdf5
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max drift of fc3: 0.043921 (zyx) 0.043921 (yzx) 0.043921 (yxz)
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Solving fc2
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Writing fc2 to fc2.hdf5
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max drift of fc2: -0.000001 (xx) -0.000001 (xx)
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*************** None of ph-ph interaction was calculated. ****************
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_
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___ _ __ __| |
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/ _ \ '_ \ / _` |
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| __/ | | | (_| |
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\___|_| |_|\__,_|
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Once ``fc3.hdf5`` and ``fc2.hdf5`` are created, ``--cutoff_pair``
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option and the special ``disp_fc3.yaml`` are not needed anymore.
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::
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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" --fc3 --fc2 --br
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...
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300.0 118.778 118.778 118.778 -0.000 -0.000 0.000
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...
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The Test
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---------
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Si-PBE
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~~~~~~
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For testing, thermal conductivities with respect to ``--cutoff_pair``
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values are calculated as follows. Note that if ``FORCES_FC3`` for full
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fc3 elements exists, the same ``FORCES_FC3`` file can be used for
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generating contracted fc3 for each special ``disp_fc3.yaml``.
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::
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|
||||
% egrep '^\s+distance' disp_fc3.yaml|awk '{print $2}'|sort|uniq
|
||||
0.000000
|
||||
2.366961
|
||||
3.865232
|
||||
4.532386
|
||||
5.466263
|
||||
5.956722
|
||||
6.694777
|
||||
7.100884
|
||||
7.730463
|
||||
9.467845
|
||||
% for i in {2..10};do d=`grep distance disp_fc3.yaml|awk '{print $2}'|sort|uniq|sed "${i}q;d"`; d=$((d+0.1)); phono3py --cutoff_pair=$d -o $i -d --dim="2 2 2" -c POSCAR-unitcell ;done
|
||||
% ls disp_fc3.*.yaml
|
||||
disp_fc3.10.yaml disp_fc3.4.yaml disp_fc3.7.yaml
|
||||
disp_fc3.2.yaml disp_fc3.5.yaml disp_fc3.8.yaml
|
||||
disp_fc3.3.yaml disp_fc3.6.yaml disp_fc3.9.yaml
|
||||
% for i in {2..10};do phono3py --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell --mesh="11 11 11" --br --io=$i|tee std.$i.out;done
|
||||
% for i in {2..10};do egrep '^\s+300' std.$i.out;done
|
||||
300.0 123.559 123.559 123.559 -0.000 -0.000 0.000
|
||||
300.0 118.586 118.586 118.586 -0.000 -0.000 0.000
|
||||
300.0 118.778 118.778 118.778 -0.000 -0.000 0.000
|
||||
300.0 118.728 118.728 118.728 -0.000 -0.000 0.000
|
||||
300.0 118.642 118.642 118.642 -0.000 -0.000 0.000
|
||||
300.0 117.023 117.023 117.023 -0.000 -0.000 0.000
|
||||
300.0 117.448 117.448 117.448 -0.000 -0.000 0.000
|
||||
300.0 117.128 117.128 117.128 -0.000 -0.000 0.000
|
||||
300.0 117.084 117.084 117.084 -0.000 -0.000 0.000
|
||||
% for i in {2..10};do 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 -i $i -o sym-$i|tee std.sym-$i.out;done
|
||||
% for i in {2..10};do egrep '^\s+300' std.sym-$i.out;done
|
||||
300.0 124.626 124.626 124.626 -0.000 0.000 0.000
|
||||
300.0 119.721 119.721 119.721 -0.000 0.000 0.000
|
||||
300.0 118.806 118.806 118.806 -0.000 0.000 0.000
|
||||
300.0 118.811 118.811 118.811 -0.000 0.000 0.000
|
||||
300.0 121.229 121.229 121.229 -0.000 0.000 0.000
|
||||
300.0 120.877 120.877 120.877 -0.000 0.000 0.000
|
||||
300.0 120.904 120.904 120.904 -0.000 0.000 0.000
|
||||
300.0 121.226 121.226 121.226 -0.000 0.000 0.000
|
||||
300.0 121.237 121.237 121.237 -0.000 0.000 0.000
|
||||
|
||||
AlN-LDA
|
||||
~~~~~~~
|
||||
|
||||
::
|
||||
|
||||
% egrep '^\s+distance' disp_fc3.yaml|awk '{print $2}'|sort|uniq
|
||||
0.000000
|
||||
1.889907
|
||||
1.901086
|
||||
3.069402
|
||||
3.076914
|
||||
3.111000
|
||||
3.640065
|
||||
3.645881
|
||||
4.370303
|
||||
4.375582
|
||||
4.743307
|
||||
4.743308
|
||||
4.788360
|
||||
4.978000
|
||||
5.364501
|
||||
5.388410
|
||||
5.672503
|
||||
5.713938
|
||||
5.870162
|
||||
6.205027
|
||||
6.469591
|
||||
7.335901
|
||||
% for i in {2..22};do d=`egrep '^\s+distance' disp_fc3.yaml|awk '{print $2}'|sort|uniq|sed "${i}q;d"`; d=$((d+0.0001)); phono3py --cutoff_pair=$d -o $i -d --dim="3 3 2" -c POSCAR-unitcell ;done
|
||||
% for i in {2..22};do phono3py --dim="3 3 2" -c POSCAR-unitcell --mesh="13 13 9" --br --nac --io $i|tee std.$i.out; done
|
||||
% for i in {2..22};do egrep '^\s+300\.0' std.$i.out;done
|
||||
300.0 201.530 201.530 192.685 -0.000 -0.000 -0.000
|
||||
300.0 212.963 212.963 204.362 -0.000 -0.000 -0.000
|
||||
300.0 208.005 208.005 196.684 -0.000 -0.000 -0.000
|
||||
300.0 212.213 212.213 200.778 -0.000 -0.000 -0.000
|
||||
300.0 223.019 223.019 214.702 -0.000 -0.000 -0.000
|
||||
300.0 223.181 223.181 214.351 -0.000 -0.000 -0.000
|
||||
300.0 222.360 222.360 213.924 -0.000 -0.000 -0.000
|
||||
300.0 223.245 223.245 214.561 -0.000 -0.000 -0.000
|
||||
300.0 223.812 223.812 215.359 -0.000 -0.000 -0.000
|
||||
300.0 223.959 223.959 215.701 -0.000 -0.000 -0.000
|
||||
300.0 223.959 223.959 215.701 -0.000 -0.000 -0.000
|
||||
300.0 224.507 224.507 215.384 -0.000 -0.000 -0.000
|
||||
300.0 224.278 224.278 215.396 -0.000 -0.000 -0.000
|
||||
300.0 223.551 223.551 212.671 -0.000 -0.000 -0.000
|
||||
300.0 224.732 224.732 214.463 -0.000 -0.000 -0.000
|
||||
300.0 224.291 224.291 213.270 -0.000 -0.000 -0.000
|
||||
300.0 224.805 224.805 214.771 -0.000 -0.000 -0.000
|
||||
300.0 224.834 224.834 215.025 -0.000 -0.000 -0.000
|
||||
300.0 224.645 224.645 215.260 -0.000 -0.000 -0.000
|
||||
300.0 224.769 224.769 215.220 -0.000 -0.000 -0.000
|
||||
300.0 224.650 224.650 215.090 -0.000 -0.000 -0.000
|
||||
% for i in {2..22};do egrep '^\s+300\.0' std.sym-$i.out;done
|
||||
300.0 224.122 224.122 213.086 0.000 -0.000 0.000
|
||||
300.0 225.394 225.394 215.683 0.000 -0.000 0.000
|
||||
300.0 223.748 223.748 213.682 0.000 -0.000 0.000
|
||||
300.0 223.973 223.973 213.543 0.000 -0.000 0.000
|
||||
300.0 224.876 224.876 216.489 0.000 -0.000 0.000
|
||||
300.0 224.603 224.603 216.204 0.000 -0.000 0.000
|
||||
300.0 223.773 223.773 214.657 0.000 -0.000 0.000
|
||||
300.0 224.173 224.173 215.517 0.000 -0.000 0.000
|
||||
300.0 224.596 224.596 215.896 0.000 -0.000 0.000
|
||||
300.0 224.401 224.401 215.955 0.000 -0.000 0.000
|
||||
300.0 224.401 224.401 215.955 0.000 -0.000 0.000
|
||||
300.0 224.077 224.077 215.565 0.000 -0.000 0.000
|
||||
300.0 224.285 224.285 215.654 0.000 -0.000 0.000
|
||||
300.0 224.136 224.136 215.053 0.000 -0.000 0.000
|
||||
300.0 224.469 224.469 215.462 0.000 -0.000 0.000
|
||||
300.0 224.109 224.109 215.011 0.000 -0.000 0.000
|
||||
300.0 224.108 224.108 215.447 0.000 -0.000 0.000
|
||||
300.0 224.592 224.592 215.046 0.000 -0.000 0.000
|
||||
300.0 224.640 224.640 215.113 0.000 -0.000 0.000
|
||||
300.0 224.344 224.344 215.203 0.000 -0.000 0.000
|
||||
300.0 224.481 224.481 214.936 0.000 -0.000 0.000
|
Loading…
Reference in New Issue