Ge

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, -106.17 eV/atom in Fireball and -160.3415 eV/atom for Quantum espresso using the pseudopotentials Ge.pbe-n-rrkjus_psl.1.0.0.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 dia 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 = 5.5 (bohr), rp = 5.5 (bohr), rd = 5.5 (bohr), and was generate like qs = 2.0, qp = 2.0, qd = 0.0, . The orbital d had been generated from the ion with charge qs = 2.0, qp = 2.0, qd = 2.0.

wf.png
Other basis
Base Functional Projection method Crystal structure Lattice parameter (Å) Bulk modulus (GPa)
Ges200700p110700d000700Id100100000 LDA Weighted LWeighted Lowdinouml;wdin dia 5.776 60
Ges150600p200600 LDA Löwdin dia 5.781 56
Ges150800p150800 LDA Mulliken dipole dia 5.772 57
Ges200550p200550d000550Id200200000 GGA Weighted LWeighted Lowdinouml;wdin dia 5.771 59
Ges175600p200600 GGA Löwdin dia 5.782 52
Ges175800p050800d000800 GGA Mulliken dipole dia 5.770 62

The LDA calculation is done with the ncpp file to obtain 032.pp pseudopotential :

ncpp.psot ncpp.psot

The GGA calculation is done with the ncpp file to obtain 032.pp pseudopotential :

ncpp.psot ncpp.psot