From phonopy v1.12.3, the command option names with underscores `_`

are replaced by those with dashes `-`

. Those tag names are unchanged.

Command-user-interface of phono3py is operated with a variety of command options. Here those command options are explained.

Using the latest phono3py and phonopy, a configuration file with
setting tags can be used instead of and together with the command
options. The setting tags are mostly equivalent to the most command
options, but when both are set simultaneously, the command options are
preferred. An example of configuration (e.g., saved in a file
`setting.conf`

) is as follow:

```
DIM = 2 2 2
DIM_FC2 = 4 4 4
PRIMITIVE_AXIS = 0 1/2 1/2 1/2 0 1/2 1/2 1/2 0
MESH = 11 11 11
BTERTA = .TRUE.
NAC = .TRUE.
READ_FC2 = .TRUE.
READ_FC3 = .TRUE.
CELL_FILENAME = POSCAR-unitcell
```

where the setting tag names are case insensitive. This is run by

```
% phono3py [comannd options] setting.conf
```

- Calculator interface
- Force constants
`-d`

: Create displacements`--amplitude`

: Amplitude of displacements`--dim`

: Supercell dimension`--dim-fc2`

: Supercell dimension for 2nd order force constants`--pa`

,`--primitive-axis`

: Transformation matrix to primitive cell`--fc2`

: Read 2nd order force constants`--fc3`

: Read 3nd order force constants`--cfc`

or`--compact-fc`

: Compact force constants`--sym-fc2`

,`--sym-fc3r`

,`--sym-fc`

: Symmetries force constants`--cf3`

: Create`FORCES_FC3`

`--cf3-file`

: Create`FORCES_FC3`

from file name list`--cf2`

: Create`FORCES_FC2`

`--fs2f2`

or`--force-sets-to-forces-fc2`

`--cfs`

or`--create-force-sets`

`--cutoff-fc3`

or`--cutoff-fc3-distance`

`--cutoff-pair`

or`--cutoff-pair-distance`

- Reciprocal space sampling mesh and grid points, and band indices
- Brillouin zone integration
- Physical properties
`--br`

: Thermal conductivity with relaxation time approximation`--lbte`

: Thermal conductivity with direct solution of LBTE`--isotope`

: Phonon-isotope scattering`--mass-variances`

or`--mv`

: Parameter for phonon-isotope scattering`--boundary-mfp`

,`--bmfp`

: Very simple phonon-boundary scattering model`--tmax`

,`--tmin`

,`--tstep`

: Temperature range`--ts`

: Temperatures`--nac`

: Non-analytical term correction`--q-direction`

: Direction for non-analytical term correction at \(\mathbf{q}\rightarrow \mathbf{0}\)`--nu`

: Normal and Umklapp processes`--write-gamma`

`--read-gamma`

`--write-gamma-detail`

`--write-phonon`

`--read-phonon`

`--ise`

: Imaginary part of self energy`--jdos`

: Joint density of states`--num-freq-points`

,`--freq-pitch`

: Sampling frequency for distribution functions`--ave-pp`

: Use averaged phonon-phonon interaction strength`--const-ave-pp`

: Use constant phonon-phonon interaction strength`--gruneisen`

: Mode-Gruneisen parameter from 3rd order force constants

- Input and output file names

`-c`

: Unit cell filename¶(Setting tag: `CELL_FILENAME`

)

```
% phono3py -c POSCAR-unitcell ... (many options)
```

`--pwscf`

: PWSCF (Quantum espresso) interface¶Using this option, PWSCF interface is invoked. See the detail at Pwscf & phono3py calculation.

`--crystal`

: CRYSTAL interface¶Using this option, CRYSTAL interface is invoked. See the detail at CRYSTAL & phono3py calculation.

`-d`

: Create displacements¶(Setting tag: `CREATE_DISPLACEMENTS`

)

Supercell with displacements are created. Using with `--amplitude`

option, atomic displacement distances are controlled. With this
option, files for supercells with displacements and `disp_fc3.yaml`

file are created.

`--amplitude`

: Amplitude of displacements¶(Setting tag: `DISPLACEMENT_DISTANCE`

)

Atomic displacement distance is specified using this option. This value may be increased for the weak interaction systems and descreased when the force calculator is numerically very accurate.

The default value depends on calculator. See Default displacement distance created.

`--dim`

: Supercell dimension¶(Setting tag: `DIM`

)

Supercell size is specified. See the detail at http://atztogo.github.io/phonopy/setting-tags.html#dim .

`--dim-fc2`

: Supercell dimension for 2nd order force constants¶(Setting tag: `DIM_FC2`

)

A larger and different supercell size for 2nd order force constants than that for 3rd order force constants can be specified with this option. Often interaction between a pair of atoms has longer range in real space than interaction among three atoms. Therefore to reduce computational demand, choosing larger supercell size only for 2nd order force constants may be a good idea.

Using this option with `-d`

option, the structure files
(e.g. `POSCAR_FC2-xxxxx`

or equivalent files for the other
interfaces) and `disp_fc2.yaml`

are created. These are used to
calculate 2nd order force constants for the larger supercell size and
these force calculations have to be done in addition to the usual
force calculations for 3rd order force constants.

```
phono3py -d --dim="2 2 2" --dim-fc2="4 4 4" -c POSCAR-unitcell
```

After the force calculations, `--cf2`

option is used to create
`FORCES_FC2`

.

```
phono3py --cf2 disp-{001,002}/vasprun.xml
```

To calculate 2nd order force constants for the larger supercell size,
`FORCES_FC2`

and `disp_fc2.yaml`

are necessary. Whenever running
phono3py for the larger 2nd order force constants, `--dim-fc2`

option has to be specified. `fc2.hdf5`

created as a result of
running phono3py contains the 2nd order force constants with
larger supercell size. The filename is the same as that created in the
usual phono3py run without `--dim-fc2`

option.

```
phono3py --dim="2 2 2" --dim_fc2="4 4 4" -c POSCAR-unitcell ... (many options)
```

`--pa`

, `--primitive-axis`

: Transformation matrix to primitive cell¶(Setting tag: `PRIMITIVE_AXIS`

)

Transformation matrix from a non-primitive cell to the primitive
cell. See phonopy `PRIMITIVE_AXIS`

tag (`--pa`

option) at
http://atztogo.github.io/phonopy/setting-tags.html#primitive-axis

`--fc2`

: Read 2nd order force constants¶(Setting tag: `READ_FC2`

, `.TRUE.`

or `.FALSE.`

)

Read 2nd order force constants from `fc2.hdf5`

.

`--fc3`

: Read 3nd order force constants¶(Setting tag: `READ_FC3`

, `.TRUE.`

or `.FALSE.`

)

Read 3rd order force constants from `fc3.hdf5`

.

`--cfc`

or `--compact-fc`

: Compact force constants¶(Setting tag: `COMPACT_FC`

, `.TRUE.`

or `.FALSE.`

)

When creating force constants from `FORCES_FC3`

and/or
`FORCES_FC2`

, force constants that use smaller data size are
created. The shape of the data array is `(num_patom, num_satom)`

for
fc2 and `(num_patom, num_satom, num_satom)`

for fc3, where
`num_patom`

and `num_satom`

are the numbers of atoms in primtive
cell and supercell. In the full size force constants case,
`num_patom`

is replaced by `num_satom`

. Therefore if the supercell
dimension is large, this reduction of data size becomes large. If the
input crystal structure has centring –pa is
necessary to have smallest data size. In this case, `--pa`

option
has to be specified on reading. Otherwise phono3py can recognize if
`fc2.hdf5`

and `fc3.hdf5`

are compact or full automatically. When
using with `--sym-fc`

, the calculated results will become slightly
different due to imperfect symmetrization scheme that phono3py
employs.

```
% phono3py --dim="2 2 2" --cfc --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" -c POSCAR-unitcell
```

`--sym-fc2`

, `--sym-fc3r`

, `--sym-fc`

: Symmetries force constants¶(Setting tags: `SYMMETRIZE_FC2`

, `.TRUE.`

or `.FALSE.`

)
(Setting tags: `SYMMETRIZE_FC3`

, `.TRUE.`

or `.FALSE.`

)
(Setting tags: `FC_SYMMETRY`

, `.TRUE.`

or `.FALSE.`

)

These are used to symmetrize second- and third-order force
constants. With `--sym-fc2`

and `--sym-fc3r`

,
the index exchange of real space force constantsand translational
invariance symmetry are applied, respectively. `--sym-fc`

is an
alias to set both of `--sym-fc2`

and `--sym-fc3r`

.

When those force constants are not read from the hdf5 files, symmetrized force constants in real space are written into those hdf5 files.

`--cf3`

: Create `FORCES_FC3`

¶This is used to create `FORCES_FC3`

. `disp_fc3.yaml`

has to be
located at the current directory.

```
% phono3py --cf3 disp-{00001..00755}/vasprun.xml
```

`--cf3-file`

: Create `FORCES_FC3`

from file name list¶This is used to create `FORCES_FC3`

from a file name
list. `disp_fc3.yaml`

has to be located at the current directory.

```
% phono3py --cf3-file file_list.dat
```

where `file_list.dat`

contains file names that can be recognized
from the current directory and is expected to be like:

```
disp-00001/vasprun.xml
disp-00002/vasprun.xml
disp-00003/vasprun.xml
disp-00004/vasprun.xml
...
```

The order of the file names is important. This option may be useful
to be used together with `--cutoff-pair`

option.

`--cf2`

: Create `FORCES_FC2`

¶This is used to create `FORCES_FC2`

. `disp_fc2.yaml`

has to be
located at the current directory. This is optional. `FORCES_FC2`

is
necessary to run with `--dim_fc2`

option.

```
% phono3py --cf2 disp_fc2-{00001..00002}/vasprun.xml
```

`--fs2f2`

or `--force-sets-to-forces-fc2`

¶Using this option, `FORCES_FC2`

and `disp_fc2.yaml`

are created
from phonopy `FORCE_SETS`

file.

```
% phono3py --fs2f2
```

`--cfs`

or `--create-force-sets`

¶Using this option, phonopy’s `FORCE_SETS`

is created from
`FORCES_FC3`

and `disp_fc3.yaml`

.

```
% phono3py --cfs
```

In conjunction with –dim-fc2, phonopy’s
`FORCE_SETS`

is created from `FORCES_FC2`

and `disp_fc2.yaml`

instead of `FORCES_FC3`

and `disp_fc3.yaml`

.

```
% phono3py --cfs --dim-fc2="x x x"
```

`--cutoff-fc3`

or `--cutoff-fc3-distance`

¶(Setting tag: `CUTOFF_FC3_DISTANCE`

)

This option is **not** used to reduce number of supercells with
displacements, but this option is used to set zero in elements of
given third-order force constants. The zero elements are selected by
the condition that any pair-distance of atoms in each atom triplet is
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`

or `--cutoff-pair-distance`

¶(Setting tag: `CUTOFF_PAIR_DISTANCE`

)

This option is only used together with `-d`

option.

A cutoff pair-distance in a supercell is used to reduce the number of necessary supercells with displacements to obtain third order force constants. As the drawback, a certain number of third-order-force-constants elements are abandoned or computed with less numerical accuracy. More details are found in the following link:

`--mesh`

: Sampling mesh¶(Setting tag: `MESH`

or `MESH_NUMBERS`

)

Phonon triples are chosen on the grid points on the sampling mesh specified by this option. This mesh is made along reciprocal axes and is always Gamma-centered.

`--gp`

: Grid points by their ID¶(Setting tag: `GRID_POINTS`

)

Grid points where imaginary part of self energy is calculated are
specified. Indices of grid points are specified by space or comma
(`,`

) separated numbers. The mapping table between grid points to its
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"
```

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,
–ga option.

`--ga`

option may be also useful when a workload of thermal
conductivity calculation is expected to be distributed into different
computer nodes.

`--ga`

: Grid points by address with three integer values¶(Setting tag: `GRID_ADDRESSES`

)

This option is used to specify grid points like `--gp`

option but in
the different way. For example with `--mesh="16 16 16"`

, a q-point
of (0.5, 0.5, 0.5) is given by `--ga="8 8 8"`

. The values have to be
integers. If you want to specify the point on a path, ```
--ga="0 0 0 1
1 1 2 2 2 3 3 3 ..."
```

, where each three values are recogninzed as a
grid point. The grid points given by `--ga`

option are translated to
grid point indices as given by `--gp`

option, and the values given
by `--ga`

option will not be shown in log files.

`--wgp`

: Write grid point information¶Irreducible grid point indices are written into
`ir_grid_points.yaml`

. This information may be used when we want to
calculate imaginary part of self energy at each grid point in
conjunction with –gp option.
`grid_address-mxxx.hdf5`

is also written. This file contains all the
grid points and their grid addresses in integers. Q-points
corresponding to grid points are calculated divided these integers by
sampling mesh numbers for respective reciprocal axes.

`--stp`

: Show number of triplets to be calculated for each grid point¶Numbers of q-point triplets to be calculated for irreducible grid
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`

: 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"
```

`--thm`

: Tetrahedron method (default choice)¶(Setting tag: `TETRAHEDRON`

, `.TRUE.`

or `.FALSE.`

)

Tetrahedron method is used for calculation of imaginary part of self energy. This is the default option. Therefore it is not necessary to specify this unless both results by tetrahedron method and smearing method in one time execution are expected.

`--sigma`

: Smearing method¶(Setting tag: `SIGMA`

)

\(\sigma\) value of Gaussian function for smearing when calculating imaginary part of self energy. See the detail at Brillouin zone summation.

Multiple \(\sigma\) values are also specified by space separated numerical values. This is used when we want to test several \(\sigma\) values simultaneously.

`--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 –full-pp
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 \(5\sigma\). 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`

: 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,
\(\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2\), is calculated
due to delta functions in calculation of
\(\Gamma_\lambda(\omega)\),

\[\Gamma_\lambda(\omega) = \frac{18\pi}{\hbar^2}
\sum_{\lambda' \lambda''}
\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2
\left\{(n_{\lambda'}+ n_{\lambda''}+1)
\delta(\omega-\omega_{\lambda'}-\omega_{\lambda''}) \right.
+ (n_{\lambda'}-n_{\lambda''})
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''})
- \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''})
\right]\right\}.\]

But using this option, full elements of phonon-phonon interaction strength are calculated and averaged phonon-phonon interaction strength (\(P_{\mathbf{q}j}\), see –ave-pp) is also given and stored.

`--br`

: Thermal conductivity with relaxation time approximation¶(Setting tag: `BTERTA`

, `.TRUE.`

or `.FALSE.`

)

Run calculation of lattice thermal conductivity tensor with the single
mode relaxation time approximation (RTA) and linearized phonon
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`

.

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
physical properties belonging to the grid
points are written into `kappa-mxxx-gx(-sx).hdf5`

.

`--lbte`

: Thermal conductivity with direct solution of LBTE¶(Setting tag: `BTERTA`

, `.TRUE.`

or `.FALSE.`

)

Run calculation of lattice thermal conductivity tensor with a direct
solution of linearized phonon Boltzmann equation. The basis usage of
this option is equivalent to that of `--br`

. More detail is
documented at Direct solution of linearized phonon Boltzmann equation.

`--isotope`

: Phonon-isotope scattering¶(Setting tag: `ISOTOPE`

, `.TRUE.`

or `.FALSE.`

)

Phonon-isotope scattering is calculated based on the formula by
Shin-ichiro Tamura, Phys. Rev. B, **27**, 858 (1983). Mass variance
parameters are read from database of the natural abundance data for
elements, which refers Laeter *et al.*, Pure Appl. Chem., **75**, 683
(2003).

```
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br --isotope
```

`--mass-variances`

or `--mv`

: Parameter for phonon-isotope scattering¶(Setting tag: `MASS_VARIANCES`

)

This option is used to include isotope effect by reading specified
mass variance parameters. For example of GaN, this may be set like
`--mv="1.97e-4 1.97e-4 0 0"`

. The number of elements has to
correspond to the number of atoms in the primitive cell.

Isotope effect to thermal conductivity may be checked first running without isotope calculation:

```
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br
```

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"
```

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¶(Setting tag: `BOUNDARY_MFP`

)

A most simple boundary scattering treatment is implemented. \(v_g/L\) is just used as the scattering rate, where \(v_g\) is the group velocity and \(L\) is the boundary mean free path. The value is given in micrometre. The default value, 1 metre, is just used to avoid divergence of phonon lifetime and the contribution to the thermal conducitivity is considered negligible.

`--tmax`

, `--tmin`

, `--tstep`

: Temperature range¶(Setting tag: `TMAX`

, `TMIN`

, `TSTEP`

)

Temperatures at equal interval are specified by `--tmax`

,
`--tmin`

, `--tstep`

. See phonopy’s document for the same tags at
http://atztogo.github.io/phonopy/setting-tags.html#tprop-tmin-tmax-tstep
.

```
% phono3py --fc3 --fc2 --dim="2 2 2" -v --mesh="11 11 11" -c POSCAR-unitcell --br --tmin=100 --tmax=1000 --tstep=50
```

`--ts`

: Temperatures¶(Setting tag: `TEMPERATURES`

)

Specific temperatures are specified by `--ts`

.

```
% phono3py --fc3 --fc2 --dim="2 2 2" -v --mesh="11 11 11" -c POSCAR-unitcell --br --ts="200 300 400"
```

`--nac`

: Non-analytical term correction¶(Setting tag: `NAC`

, `.TRUE.`

or `.FALSE.`

)

Non-analytical term correction for harmonic phonons. Like as phonopy,
`BORN`

file has to be put on the same directory. Always the default
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 \(\mathbf{q}\rightarrow \mathbf{0}\)¶(Setting tag: `Q_DIRECTION`

)

This is used with `--nac`

to specify the direction to polarize in
reciprocal space. See the detail at
http://atztogo.github.io/phonopy/setting-tags.html#q-direction .

`--nu`

: Normal and Umklapp processes¶(Setting tag: `N_U`

, `.TRUE.`

or `.FALSE.`

)

Integration over q-point triplets for the calculation of \(\Gamma_\lambda(\omega_\lambda)\) is made separately for normal and Umklapp processes, therefore the sum of them is usual \(\Gamma_\lambda(\omega_\lambda)\). The separation, i.e., the choice of G-vector, is made based on the first Brillouin zone.

`--write-gamma`

¶(Setting tag: `WRITE_GAMMA`

, `.TRUE.`

or `.FALSE.`

)

Imaginary parts of self energy at harmonic phonon frequencies
\(\Gamma_\lambda(\omega_\lambda)\) 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`

¶(Setting tag: `READ_GAMMA`

, `.TRUE.`

or `.FALSE.`

)

Imaginary parts of self energy at harmonic phonon frequencies
\(\Gamma_\lambda(\omega_\lambda)\)
are read from `kappa`

file in hdf5 format. Initially the usual
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-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-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-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.

gamma_detail for `--ise` |
(temperature, sampling frequency point, symmetry reduced set of triplets at a grid point, band1, band2, band3) in THz (without \(2\pi\)) |

gamma_detail for `--br` |
(temperature, symmetry reduced set of triplets at a grid point, band1, band2, band3) in THz (without \(2\pi\)) |

mesh | Numbers of sampling mesh along reciprocal axes. |

frequency_point for `--ise` |
Sampling frequency points in THz (without \(2\pi\)), i.e., \(\omega\) in \(\Gamma_\lambda(\omega)\) |

temperature | (temperature,), Temperatures in K |

triplet | (symmetry reduced set of triplets at a grid point, 3), Triplets are given by the grid point indices (see below). |

weight | (symmetry reduced set of triplets at a grid point,), Weight of each triplet to imaginary part of self energy |

Imaginary part of self energy (linewidth/2) is recovered by the following script:

```
import h5py
import numpy as np
gd = h5py.File("gamma_detail-mxxx-gx.hdf5")
temp_index = 30 # index of temperature
temperature = gd['temperature'][temp_index]
gamma_tp = gd['gamma_detail'][:].sum(axis=-1).sum(axis=-1)
weight = gd['weight'][:]
gamma = np.dot(weight, gamma_tp[temp_index])
```

For example, for `--br`

, this `gamma`

gives
\(\Gamma_\lambda(\omega_\lambda)\) of the band indices at the grid
point indicated by \(\lambda\) at the temperature of index 30. If
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.

To understand each contribution of triptle to imaginary part of self
energy, reading `phonon-mxxx.hdf5`

is useful (see
--write-phonon). For example,
phonon triplets of three phonon scatterings are obtained by

```
import h5py
import numpy as np
gd = h5py.File("gamma_detail-mxxx-gx.hdf5", 'r')
ph = h5py.File("phonon-mxxx.hdf5", 'r')
gp1 = gd['grid_point'][()]
triplets = gd['triplet'][:] # Sets of (gp1, gp2, gp3) where gp1 is fixed
mesh = gd['mesh'][:]
grid_address = ph['grid_address'][:]
q_triplets = grid_address[triplets] / mesh.astype('double')
# Phonons of triplets[2]
phonon_tp = [(ph['frequency'][i], ph['eigenvector'][i]) for i in triplets[2]]
# Fractions of contributions of tripltes at this grid point and temperture index 30
gamma_sum_over_bands = np.dot(weight, gd['gamma_detail'][30].sum(axis=-1).sum(axis=-1).sum(axis=-1))
contrib_tp = [gd['gamma_detail'][30, i].sum() / gamma_sum_over_bands for i in range(len(weight))]
np.dot(weight, contrib_tp) # is one
```

`--write-phonon`

¶Phonon frequencies, eigenvectors, and grid point addresses are stored
in `phonon-mxxx.hdf5`

file. After writing phonons, phono3py stops
without going to calculation. –pa and –nac may be required depending on calculation setting.

```
% phono3py --fc2 --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" --mesh="11 11 11" -c POSCAR-unitcell --nac --write-phoonon
```

Contents of `phonon-mxxx.hdf5`

are watched by:

```
In [1]: import h5py
In [2]: ph = h5py.File("phonon-m111111.hdf5", 'r')
In [3]: list(ph)
Out[3]: ['eigenvector', 'frequency', 'grid_address', 'mesh']
In [4]: ph['mesh'][:]
Out[4]: array([11, 11, 11], dtype=int32)
In [5]: ph['grid_address'].shape
Out[5]: (1367, 3)
In [6]: ph['frequency'].shape
Out[6]: (1367, 6)
In [7]: ph['eigenvector'].shape
Out[7]: (1367, 6, 6)
```

The first axis of `ph['grid_address']`

, `ph['frequency']`

, and
`ph['eigenvector']`

corresponds to the number of q-points where
phonons are calculated. Here the number of phonons may not be equal to
product of mesh numbers (\(1367 \neq 11^3\)). This is because all
q-points on Brillouin zone boundary are included, i.e., even if
multiple q-points are translationally equivalent, those phonons are
stored separately though these phonons are physically equivalent
within the equations employed in phono3py. Here Brillouin zone is
defined by Wigner–Seitz cell of reciprocal primitive basis
vectors. This is convenient to categorize phonon triplets into Umklapp
and Normal scatterings based on the Brillouin zone.

`--read-phonon`

¶Phonon frequencies, eigenvectors, and grid point addresses are read
from `phonon-mxxx.hdf5`

file and the calculation is continued using
these phonon values. This is useful when we want to use fixed phonon
eigenvectors that can be different for degenerate bands when using
different eigenvalue solvers or different CPU
architectures. –pa and –nac
may be required depending on calculation setting.

```
% phono3py --fc2 --fc3 --dim="2 2 2" --pa="0 1/2 1/2 1/2 0 1/2 1/2 1/2 0" --mesh="11 11 11" -c POSCAR-unitcell --nac --read-phoonon --br
```

`--ise`

: Imaginary part of self energy¶(Setting tag: `IMAG_SELF_ENERGY`

, `.TRUE.`

or `.FALSE.`

)

Imaginary part of self energy \(\Gamma_\lambda(\omega)\) is
calculated with respect to \(\omega\). The output is written to
`gammas-mxxx-gx(-sx)-tx-bx.dat`

in THz (without \(2\pi\))
with respect to frequency in THz (without \(2\pi\)).

```
% 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"
```

`--jdos`

: Joint density of states¶(Setting tag: `JOINT_DOS`

, `.TRUE.`

or `.FALSE.`

)

Two classes of joint density of states (JDOS) are calculated. The
result is written into `jdos-mxxx-gx(-sx-sdx).dat`

in
\(\text{THz}^{-1}\) (without \((2\pi)^{-1}\)) with
respect to frequency in THz (without \(2\pi\)). The first
column is the frequency, and the second and third columns are the
values given as follows, respectively,

\[\begin{split}&D_2^{(1)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda',\lambda''} \Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'')
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''}) +
\delta(\omega-\omega_{\lambda'}+\omega_{\lambda''}) \right], \\
&D_2^{(2)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda',\lambda''}
\Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'') \delta(\omega-\omega_{\lambda'}
-\omega_{\lambda''}).\end{split}\]

```
% phono3py --fc2 --dim="2 2 2" -c POSCAR-unitcell --mesh="16 16 16" --nac --jdos --ga="0 0 0 8 8 8"
```

When temperatures are specified, two classes of weighted JDOS are
calculated. The result is written into
`jdos-mxxx-gx(-sx)-txxx.dat`

in \(\text{THz}^{-1}\) (without
\((2\pi)^{-1}\)) with respect to frequency in THz (without
\(2\pi\)). 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,

\[\begin{split}&N_2^{(1)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda'\lambda''} \Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'')
(n_{\lambda'} - n_{\lambda''}) [ \delta( \omega + \omega_{\lambda'} -
\omega_{\lambda''}) - \delta( \omega - \omega_{\lambda'} +
\omega_{\lambda''})], \\
&N_2^{(2)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda'\lambda''} \Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'')
(n_{\lambda'}+ n_{\lambda''}+1) \delta( \omega - \omega_{\lambda'} -
\omega_{\lambda''}).\end{split}\]

```
% 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¶(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`

.

`--ave-pp`

: Use averaged phonon-phonon interaction strength¶(Setting tag: `USE_AVE_PP`

, `.TRUE.`

or `.FALSE.`

)

Averaged phonon-phonon interaction strength (\(P_{\mathbf{q}j}=P_\lambda\)) is used to calculate imaginary part of self energy in thermal conductivity calculation. \(P_\lambda\) is defined as

\[P_\lambda = \frac{1}{(3n_\text{a})^2}\sum_{\lambda'
\lambda''}|\Phi_{\lambda \lambda' \lambda''}|^2,\]

where \(n_\text{a}\) is the number of atoms in unit cell. This is roughly constant with respect to the sampling mesh density for converged \(|\Phi_{\lambda \lambda' \lambda''}|^2\). Then for all \(\mathbf{q}',j',j''\),

\[|\Phi_{\mathbf{q}j,\mathbf{q}'j',\mathbf{G-q-q'}j''}|^2 :=
P_{\mathbf{q}j} / N,\]

where \(N\) is the number of grid points on the sampling mesh. \(\Phi_{\lambda \lambda' \lambda''} \equiv 0\) unless \(\mathbf{q} + \mathbf{q}' + \mathbf{q}'' = \mathbf{G}\).

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
–full-pp). 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,

```
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br
```

Then

```
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br --read-gamma --ave-pp -o ave_pp
```

`--const-ave-pp`

: Use constant phonon-phonon interaction strength¶(Setting tag: `CONST_AVE_PP`

, `.TRUE.`

or `.FALSE.`

)

Averaged phonon-phonon interaction (\(P_{\mathbf{q}j}\)) is
replaced by this constant value and \(|\Phi_{\lambda \lambda'
\lambda''}|^2\) are set as written in –ave-pp for thermal
conductivity calculation. This option works only when `--br`

options
are activated. Therefore third-order force constants are not necessary
to input. The physical unit of the value is \(\text{eV}^2\).

```
% phono3py --dim="3 3 2" -v --mesh="32 32 20" -c POSCAR-unitcell --br --const-ave-pp=1e-10
```

`--gruneisen`

: Mode-Gruneisen parameter from 3rd order force constants¶(Setting tag: `GRUNEISEN`

, `.TRUE.`

or `.FALSE.`

)

Mode-Gruneisen-parameters are calculated from fc3.

Mesh sampling mode:

```
% phono3py --fc3 --fc2 --dim="2 2 2" -v --mesh="16 16 16" -c POSCAR-unitcell --nac --gruneisen
```

Band path mode:

```
% phono3py --fc3 --fc2 --dim="2 2 2" -v -c POSCAR-unitcell --nac --gruneisen --band="0 0 0 0 0 1/2"
```

`-o`

: Arranging output file names¶Using this option, output file names are slightly modified. For example,
specifying `-o iso`

, a file name `kappa-m191919.hdf5`

is changed
to `kappa-m191919.iso.hdf5`

.

This rule is applied to

`fc3.hdf5`

`fc2.hdf5`

`kappa-xxx.hdf5`

`disp_fc3.yaml`

`disp_fc2.yaml`

`-i`

: Arranging input file names¶Using this option, input file names are slightly modified. For example,
specifying `-i iso --fc3`

, a file name `fc3.iso.hdf5`

is read
instead of `fc3.hdf5`

.

This rule is applied to

`fc3.hdf5`

`fc2.hdf5`

`kappa-xxx.hdf5`

`disp_fc3.yaml`

`disp_fc2.yaml`