# pyiron.dft.waves.electronic module¶

class pyiron.dft.waves.electronic.Band[source]

Bases: object

All data related to a single band for every k-point is stored in this module

eigenvalue

The eigenvalue of a given band at a given k-point

Type: float
occupancy

The occupancy of a given band at a given k-point

Type: float
resolved_dos_matrix

2D matrix with n rows and m columns; n being the unmber of atoms and m being the number of orbitals

Type: numpy.ndarray instance
class pyiron.dft.waves.electronic.ElectronicStructure[source]

Bases: object

This is a generic module to store electronic structure data in a clean way. Kpoint and Band classes are used to store information related to kpoints and bands respectively. Every spin configuration has a set of k-points and every k-point has a set of bands associated with it. This is loosely adapted from the pymatgen electronic_structure modules. Many of the functions have been substantially modified for pyiron

add_kpoint(value, weight)[source]

Appends a Kpoint() instance to the kpoints attribute

Parameters: value (list/numpy.ndarray) – Value of the k-point in cartesian reciprocal coordinates weight (float) – The weight of the particular k-point
cbm

The Kohn-Sham CBM (value only) (eV)

Type: float
dos_densities

A (SxN) vector containing the density of states for every spin configuration with S spin configurations and N grid points

Type: numpy.ndarray
dos_energies

A (1xN) vector containing the energies with N grid points

Type: numpy.ndarray
dos_idensities

A (SxN) vector containing the density of states for every spin configuration with S spin configurations and N grid points

Type: numpy.ndarray
efermi

The Fermi-level of the system (eV). Please note that in the case of DFT this level is the Kohn-Sham Fermi level computed by the DFT code.

Type: float
eg

The band gap (eV)

Type: float
eigenvalue_matrix

A getter function to return the eigenvalue_matrix. The eigenvalue for a given kpoint index i and band index j is given by eigenvalue_matrix[i][j]

Type: numpy.ndarray
eigenvalues

Eigenvalues of the bands

Type: numpy.ndarray
from_hdf(hdf, group_name='electronic_structure')[source]

Retrieve the object from the hdf5 file

Parameters: hdf – Path to the hdf5 file/group in the file group_name – Name of the group under which the attributes are stored
from_hdf_old(hdf, group_name='electronic_structure')[source]

Retrieve the object from the hdf5 file

Parameters: hdf – Path to the hdf5 file/group in the file group_name – Name of the group under which the attributes are stored
generate_from_matrices()[source]

Generate the Kpoints and Bands from the kpoint lists and sometimes grand_dos_matrix

get_band_gap(resolution=1e-06)[source]

Gets the band gap of the system

Parameters: resolution (float) – An occupancy above this value is considered occupied “band gap” (float): The band gap (eV) ”vbm”: The dictionary associated with the VBM “cbm”: The dictionary associated with the CBM dict
get_cbm(resolution=1e-06)[source]

Gets the conduction band minimum (CBM) of the system

Parameters: resolution (float) – An occupancy above this value is considered occupied “value” (float): Absolute energy value of the CBM (eV) ”kpoint”: The Kpoint instance associated with the CBM “band”: The Band instance associated with the CBM dict
get_dos(n_bins=100)[source]

Gives a pyiron.objects.waves.dos.Dos instance

Parameters: n_bins (int) – Number of histogram bins for the dos Dos instance pyiron.objects.waves.dos.Dos
get_resolved_dos(spin_indices=0, atom_indices=None, orbital_indices=None)[source]

Get resolved dos based on the specified spin, atom and orbital indices

Parameters: spin_indices (int/list/numpy.ndarray) – spin indices atom_indices (int/list/numpy.ndarray) – stom indices orbital_indices (int/list/numpy.ndarray) – orbital indices (based on orbital_dict) Required resolved dos rdos (numpy.ndarray)
get_spin_resolved_dos(spin_indices=0)[source]

Gets the spin resolved DOS

Parameters: spin_indices (int) – The index of the spin for which the DOS is required Spin resolved dos (numpy.ndarray instance)
get_vbm(resolution=1e-06)[source]

Gets the valence band maximum (VBM) of the system

Parameters: resolution (float) – An occupancy below this value is considered unoccupied “value” (float): Absolute energy value of the VBM (eV) “kpoint”: The Kpoint instance associated with the VBM “band”: The Band instance associated with the VBM dict
grand_dos_matrix

Getter for the 5 dimensional grand_dos_matrix which gives the contribution of every spin, kpoint, band, atom and orbital to the total DOS. For example the dos contribution with spin index s, kpoint k, band b, atom a and orbital o is:

grand_dos_matrix[s, k, b, a, o]

The grand sum of this matrix would equal 1.0. The spatial, spin, and orbital resolved DOS can be computed using this matrix

Returns: numpy.ndarray (5 dimensional)
is_metal

Tells if the given system is metallic or not. The Fermi level crosses bands in the cas of metals but is present in the band gap in the case of semi-conductors.

Type: bool
kpoint_list

The list of kpoints in cartesian coordinates

Type: list
kpoint_weights

The weights of the kpoints of the electronic structure in cartesian coordinates

Type: list
occupancies

Occupancies of the bands

Type: numpy.ndarray
occupancy_matrix

A getter function to return the occupancy_matrix. The occupancy for a given kpoint index i and band index j is given by occupancy_matrix[i][j]

Type: numpy.ndarray
orbital_dict

A dictionary of the ordering of the orbitals

Examples

>>> self.orbital_dict[0]
's'

Type: dict
plot_fermi_dirac()[source]

Plots the obtained eigenvalue vs occupation plot

resolved_densities

A (SxAxOxN) vector containing the density of states for every spin configuration with S spin configurations, A atoms, O orbitals and N grid points. The labels of the orbitals are found on the orbital_dict

Type: numpy.ndarray
structure

The structure associated with the electronic structure object

to_hdf(hdf, group_name='electronic_structure')[source]

Store the object to hdf5 file

Parameters: hdf – Path to the hdf5 file/group in the file group_name – Name of the group under which the attributes are o be stored
to_hdf_old(hdf, group_name='electronic_structure')[source]

Store the object to hdf5 file

Parameters: hdf – Path to the hdf5 file/group in the file group_name – Name of the group under which the attributes are o be stored
vbm

The Kohn-Sham VBM (value only) (eV)

Type: float
class pyiron.dft.waves.electronic.Kpoint[source]

Bases: object

All data related to a single k-point is stored in this module

bands

List of pyiron.objects.waves.settings.Band object

Type: list
.. value

Value of the k-point

Type: float
.. weight

Weight of the k-point used in integration of quantities

Type: float
.. eig_occ_matrix

A Nx2 matrix with the first column with eigenvalues and the second with occupancies of every band. N being the number of bands assoiated with the k-point

Type: numpy.ndarray
add_band(eigenvalue, occupancy)[source]

eig_occ_matrix
value
weight