Nb

Functional : GGA X Becke C Lee/Yang/Parr

Projection : Mulliken dipole

Calculation the bulk modulus obtained by fitting to the Murnaghan equation. The energy is plotted relative to the minimum energy for each case, -136.04 eV/atom in Fireball and -140.757 eV/atom for Quantum espresso using the pseudopotentials Nb.pbe-mt_fhi.UPF . a0 and B0 are the equilibrium lattice constant and bulk modulus obtained by fitting to the Murnaghan equation of state.

bulk.png

Calculation the band dispersion for the bcc structure with the lattice constant of 4.5 Å

Fireball

bandas for Fireball

Quamtum espresso

bandas

The cut off radio of the orbitals in Fireball are rs = 8.0 (bohr), rp = 8.0 (bohr), rd = 8.0 (bohr), and was generate like qs = 0.5, qp = 0.0, qd = 1.6, .

wf.png
Other basis
Base Functional Projection method Crystal structure Lattice parameter (Å) Bulk modulus (GPa)
Nbs070800d275800 LDA Weighted LWeighted Lowdinouml;wdin bcc 3.332 194
Nbs070800d275800 LDA Löwdin bcc 3.332 194
Nbs120800d250800 LDA Mulliken dipole bcc 3.328 194
Nbs200800d180800 GGA Weighted LWeighted Lowdinouml;wdin bcc 3.334 209
Nbs050800p000800d160800 GGA Löwdin bcc 3.322 173
Nbs100650p000650d100650 GGA Mulliken dipole bcc 3.324 187

The LDA calculation is done with the ncpp file to obtain 041.pp pseudopotential :

ncpp.psot ncpp.psot

The GGA calculation is done with the ncpp file to obtain 041.pp pseudopotential :

ncpp.psot ncpp.psot