# Density of states¶

Example:

calc = ...
dos = DOS(calc, width=0.2)
d = dos.get_dos()
e = dos.get_energies()


You can plot the result like this:

import matplotlib.pyplot as plt
plt.plot(e, d)
plt.xlabel('energy [eV]')
plt.ylabel('DOS')
plt.show() Calculations involving moments of a DOS distribution may be facilitated by the use of get_distribution_moment() method, as in the following example:

from ase.dft import get_distribution_moment
volume = get_distribution_moment(e,d)
center, width = get_distribution_moment(e,d,(1,2))


## More details¶

class ase.dft.dos.DOS(calc, width=0.1, window=None, npts=401)[source]

Electronic Density Of States object.

calc: calculator object

Any ASE compliant calculator object.

width: float

Width of guassian smearing. Use width=0.0 for linear tetrahedron interpolation.

window: tuple of two float

Use window=(emin, emax). If not specified, a window big enough to hold all the eigenvalues will be used.

npts: int

Number of points.

get_dos(spin=None)[source]

Get array of DOS values.

The spin argument can be 0 or 1 (spin up or down) - if not specified, the total DOS is returned.

get_energies()[source]

Return the array of energies used to sample the DOS.

The energies are reported relative to the Fermi level.

ase.dft.dos.linear_tetrahedron_integration(cell, eigs, energies, weights=None)[source]

DOS from linear tetrahedron interpolation.

cell: 3x3 ndarray-like

Unit cell.

eigs: (n1, n2, n3, nbands)-shaped ndarray

Eigenvalues on a Monkhorst-Pack grid (not reduced).

energies: 1-d array-like

Energies where the DOS is calculated (must be a uniform grid).

weights: ndarray of shape (n1, n2, n3, nbands) or (n1, n2, n3, nbands, nw)

Weights. Defaults to a (n1, n2, n3, nbands)-shaped ndarray filled with ones. Can also have an extra dimednsion if there are nw weights.

Returns

DOS as an ndarray of same length as energies or as an ndarray of shape (nw, len(energies)).

See:

Extensions of the tetrahedron method for evaluating spectral properties of solids, A. H. MacDonald, S. H. Vosko and P. T. Coleridge, 1979 J. Phys. C: Solid State Phys. 12 2991, https://doi.org/10.1088/0022-3719/12/15/008

ase.dft.get_distribution_moment(x, y, order=0)[source]

Return the moment of nth order of distribution.

1st and 2nd order moments of a band correspond to the band’s center and width respectively.

For integration, the trapezoid rule is used.