Zr

Functional : LDA Ceperley/Alder Perdew/Zunger (1980)

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, -81.83 eV/atom in Fireball and -82.5178 eV/atom for Quantum espresso using the pseudopotentials Zr.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 fcc 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 = 6.5 (bohr), rp = 6.5 (bohr), rd = 6.5 (bohr), and was generate like qs = 1.5, qp = 0.0, qd = 0.6, .

wf.png
Other basis
Base Functional Projection method Crystal structure Lattice parameter (Å) Bulk modulus (GPa)
Zrs070700p000700d120700 LDA Weighted LWeighted Lowdinouml;wdin fcc 4.589 130
Zrs150650p000650d060650 LDA Löwdin fcc 4.573 99
Zrs150650p000650d060650 LDA Mulliken dipole fcc 4.575 102
Zrs050700p000700d050700 GGA Weighted LWeighted Lowdinouml;wdin fcc 4.570 105
Zrs000700p000700d100700 GGA Löwdin fcc 4.568 110
Zrs000700p000700d090700 GGA Mulliken dipole fcc 4.583 106

The LDA calculation is done with the ncpp file to obtain 040.pp pseudopotential :

ncpp.psot ncpp.psot

The GGA calculation is done with the ncpp file to obtain 040.pp pseudopotential :

ncpp.psot ncpp.psot