Ti

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, -96.03 eV/atom in Fireball and -23233.2 eV/atom for Quantum espresso using the pseudopotentials Ti.pbe-spn-kjpaw_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 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 = 8.0 (bohr), rp = 8.0 (bohr), rd = 8.0 (bohr), and was generate like qs = 1.75, qp = 0.0, qd = 1.3, .

wf.png
Other basis
Base Functional Projection method Crystal structure Lattice parameter (Å) Bulk modulus (GPa)
Tis175800p000800d130800 LDA Weighted LWeighted Lowdinouml;wdin fcc 4.128 116
Tis175800d200800 LDA Löwdin fcc 4.115 129
Tis190800p000800d130800 LDA Mulliken dipole fcc 4.128 111
Tis120800d190800 GGA Weighted LWeighted Lowdinouml;wdin fcc 4.120 126
Tis120800d190800 GGA Löwdin fcc 4.119 127
Tis080800d200800 GGA Mulliken dipole fcc 4.117 124

The LDA calculation is done with the ncpp file to obtain 022.pp pseudopotential :

ncpp.psot ncpp.psot

The GGA calculation is done with the ncpp file to obtain 022.pp pseudopotential :

ncpp.psot ncpp.psot