pymatgen.analysis.defects.corrections module¶
Implementation of defect correction methods.
- class BandEdgeShiftingCorrection[source]¶
Bases:
pymatgen.analysis.defects.core.DefectCorrection
A class for BandEdgeShiftingCorrection class. Largely adapted from PyCDT code
Initializes the BandEdgeShiftingCorrection class
- get_correction(entry)[source]¶
Gets the BandEdge correction for a defect entry :param entry: defect entry to compute BandFilling correction on.
- Requires some parameters in the DefectEntry to properly function:
- hybrid_cbm (float)
CBM of HYBRID bulk calculation one wishes to shift to
- hybrid_vbm (float)
VBM of HYBRID bulk calculation one wishes to shift to
- cbm (float)
CBM of bulk calculation (or band structure calculation of bulk); calculated on same level of theory as the defect (ex. GGA defects -> requires GGA cbm)
- vbm (float)
VBM of bulk calculation (or band structure calculation of bulk); calculated on same level of theory as the defect (ex. GGA defects -> requires GGA vbm)
- Returns
BandfillingCorrection value as a dictionary
- class BandFillingCorrection(resolution=0.01)[source]¶
Bases:
pymatgen.analysis.defects.core.DefectCorrection
A class for BandFillingCorrection class. Largely adapted from PyCDT code
Initializes the Bandfilling correction
- Parameters
resolution (float) – energy resolution to maintain for gap states
- get_correction(entry)[source]¶
Gets the BandFilling correction for a defect entry :param entry: defect entry to compute BandFilling correction on.
- Requires following parameters in the DefectEntry to exist:
- eigenvalues
dictionary of defect eigenvalues, as stored in a Vasprun object
- kpoint_weights (list of floats)
kpoint weights corresponding to the dictionary of eigenvalues, as stored in a Vasprun object
- potalign (float)
potential alignment for the defect calculation Only applies to non-zero charge, When using potential alignment correction (freysoldt or kumagai), need to divide by -q
- cbm (float)
CBM of bulk calculation (or band structure calculation of bulk); calculated on same level of theory as the defect (ex. GGA defects -> requires GGA cbm)
- vbm (float)
VBM of bulk calculation (or band structure calculation of bulk); calculated on same level of theory as the defect (ex. GGA defects -> requires GGA vbm)
- Returns
Bandfilling Correction value as a dictionary
- perform_bandfill_corr(eigenvalues, kpoint_weights, potalign, vbm, cbm)[source]¶
This calculates the band filling correction based on excess of electrons/holes in CB/VB…
- Note that the total free holes and electrons may also be used for a “shallow donor/acceptor”
- correction with specified band shifts:
+num_elec_cbm * Delta E_CBM (or -num_hole_vbm * Delta E_VBM)
- class FreysoldtCorrection(dielectric_const, q_model=None, energy_cutoff=520, madetol=0.0001, axis=None)[source]¶
Bases:
pymatgen.analysis.defects.core.DefectCorrection
A class for FreysoldtCorrection class. Largely adapated from PyCDT code
If this correction is used, please reference Freysoldt’s original paper. doi: 10.1103/PhysRevLett.102.016402
Initializes the FreysoldtCorrection class :param dielectric_const: Dielectric constant for the structure :type dielectric_const: float or 3x3 matrix :param q_model: instantiated QModel object or None.
Uses default parameters to instantiate QModel if None supplied
- Parameters
energy_cutoff (int) – Maximum energy in eV in reciprocal space to perform integration for potential correction.
madeltol (float) – Convergence criteria for the Madelung energy for potential correction
axis (int) – Axis to calculate correction. If axis is None, then averages over all three axes is performed.
- get_correction(entry)[source]¶
Gets the Freysoldt correction for a defect entry :param entry: defect entry to compute Freysoldt correction on.
Requires following keys to exist in DefectEntry.parameters dict:
axis_grid (3 x NGX where NGX is the length of the NGX grid in the x,y and z axis directions. Same length as planar average lists):
A list of 3 numpy arrays which contain the cartesian axis values (in angstroms) that correspond to each planar avg potential supplied.
bulk_planar_averages (3 x NGX where NGX is the length of the NGX grid in the x,y and z axis directions.):
A list of 3 numpy arrays which contain the planar averaged electrostatic potential for the bulk supercell.
defect_planar_averages (3 x NGX where NGX is the length of the NGX grid in the x,y and z axis directions.):
A list of 3 numpy arrays which contain the planar averaged electrostatic potential for the defective supercell.
- initial_defect_structure (Structure) structure corresponding to
initial defect supercell structure (uses Lattice for charge correction)
- defect_frac_sc_coords (3 x 1 array) Fractional co-ordinates of
defect location in supercell structure
- Returns
FreysoldtCorrection values as a dictionary
- perform_es_corr(lattice, q, step=0.0001)[source]¶
Peform Electrostatic Freysoldt Correction :param lattice: Pymatgen lattice object :param q: Charge of defect :type q: int :param step: step size for numerical integration :type step: float
- Returns
Electrostatic Point Charge contribution to Freysoldt Correction (float)
- perform_pot_corr(axis_grid, pureavg, defavg, lattice, q, defect_frac_position, axis, widthsample=1.0)[source]¶
For performing planar averaging potential alignment :param axis_grid (1 x NGX where NGX is the length of the NGX grid:
- in the axis direction. Same length as pureavg list):
A numpy array which contain the cartesian axis values (in angstroms) that correspond to each planar avg potential supplied.
- Parameters
(1 x NGX where NGX is the length of the NGX grid in (defavg) –
- the axis direction.):
A numpy array for the planar averaged electrostatic potential of the bulk supercell.
(1 x NGX where NGX is the length of the NGX grid in –
- the axis direction.):
A numpy array for the planar averaged electrostatic potential of the defect supercell.
lattice – Pymatgen Lattice object of the defect supercell
q (float or int) – charge of the defect
defect_frac_position – Fracitional Coordinates of the defect in the supercell
axis (int) – axis for performing the freysoldt correction on
widthsample (float) – width (in Angstroms) of the region in between defects where the potential alignment correction is averaged. Default is 1 Angstrom.
- Returns
Potential Alignment contribution to Freysoldt Correction (float)
- plot(axis, title=None, saved=False)[source]¶
Plots the planar average electrostatic potential against the Long range and short range models from Freysoldt. Must run perform_pot_corr or get_correction (to load metadata) before this can be used. :param axis: axis to plot :type axis: int :param title: Title to be given to plot. Default is no title. :type title: str :param saved: Whether to save file or not. If False then returns plot
object. If True then saves plot as str(title) + “FreyplnravgPlot.pdf”
- class KumagaiCorrection(dielectric_tensor, sampling_radius=None, gamma=None)[source]¶
Bases:
pymatgen.analysis.defects.core.DefectCorrection
A class for KumagaiCorrection class. Largely adapated from PyCDT code
If this correction is used, please reference Kumagai and Oba’s original paper (doi: 10.1103/PhysRevB.89.195205) as well as Freysoldt’s original paper (doi: 10.1103/PhysRevLett.102.016402)
NOTE that equations 8 and 9 from Kumagai et al. reference are divided by (4 pi) to get SI units
Initializes the Kumagai Correction :param dielectric_tensor: Dielectric constant for the structure :type dielectric_tensor: float or 3x3 matrix :param optional data that can be tuned:
- sampling_radius (float): radius (in Angstrom) which sites must be outside
of to be included in the correction. Publication by Kumagai advises to use Wigner-Seitz radius of defect supercell, so this is default value.
- gamma (float): convergence parameter for gamma function.
Code will automatically determine this if set to None.
- get_correction(entry)[source]¶
Gets the Kumagai correction for a defect entry :param entry: defect entry to compute Kumagai correction on.
Requires following parameters in the DefectEntry to exist:
- bulk_atomic_site_averages (list): list of bulk structure”s atomic site averaged ESPs * charge,
in same order as indices of bulk structure note this is list given by VASP’s OUTCAR (so it is multiplied by a test charge of -1)
- defect_atomic_site_averages (list): list of defect structure”s atomic site averaged ESPs * charge,
in same order as indices of defect structure note this is list given by VASP’s OUTCAR (so it is multiplied by a test charge of -1)
- site_matching_indices (list): list of corresponding site index values for
bulk and defect site structures EXCLUDING the defect site itself (ex. [[bulk structure site index, defect structure”s corresponding site index], … ]
- initial_defect_structure (Structure): Pymatgen Structure object representing un-relaxed defect
structure
- defect_frac_sc_coords (array): Defect Position in fractional coordinates of the supercell
given in bulk_structure
- Returns
KumagaiCorrection values as a dictionary
- static get_potential_shift(gamma, volume)[source]¶
- Parameters
gamma (float) – Gamma
volume (float) – Volume.
- Returns
Potential shift for defect.
- get_real_summation(gamma, real_vectors)[source]¶
Get real summation term from list of real-space vectors
- get_recip_summation(gamma, recip_vectors, volume, r=[0.0, 0.0, 0.0])[source]¶
Get Reciprocal summation term from list of reciprocal-space vectors
- get_self_interaction(gamma)[source]¶
- Parameters
() (gamma) –
- Returns
Self-interaction energy of defect.
- perform_es_corr(gamma, prec, lattice, charge)[source]¶
Peform Electrostatic Kumagai Correction :param gamma: Ewald parameter :type gamma: float :param prec: Precision parameter for reciprical/real lattice vector generation :type prec: int :param lattice: Pymatgen Lattice object corresponding to defect supercell :param charge: Defect charge :type charge: int
- Returns
Electrostatic Point Charge contribution to Kumagai Correction (float)
- perform_pot_corr(defect_structure, defect_frac_coords, site_list, sampling_radius, q, r_vecs, g_vecs, gamma)[source]¶
For performing potential alignment in manner described by Kumagai et al. :param defect_structure: Pymatgen Structure object corrsponding to the defect supercell :param defect_frac_coords: Defect Position in fractional coordinates of the supercell
given in bulk_structure
- Parameters
site_list – list of corresponding site index values for bulk and defect site structures EXCLUDING the defect site itself (ex. [[bulk structure site index, defect structure”s corresponding site index], … ]
sampling_radius (float) – radius (in Angstrom) which sites must be outside of to be included in the correction. Publication by Kumagai advises to use Wigner-Seitz radius of defect supercell, so this is default value.
q (int) – Defect charge
r_vecs – List of real lattice vectors to use in summation
g_vecs – List of reciprocal lattice vectors to use in summation
gamma (float) – Ewald parameter
- Returns
Potential alignment contribution to Kumagai Correction (float)