Ru

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, -431.35 eV/atom in Fireball and -2681.64 eV/atom for Quantum espresso using the pseudopotentials Ru.pbe-spn-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 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 = 7.0 (bohr), rd = 7.0 (bohr), and was generate like qs = 2.0, qd = 4.0, .

wf.png
Other basis
Base Functional Projection method Crystal structure Lattice parameter (Å) Bulk modulus (GPa)
Rus200700d425700 LDA Weighted LWeighted Lowdinouml;wdin fcc 3.807 349
Rus200700d425700 LDA Löwdin fcc 3.807 349
Rus200700d425700 LDA Mulliken dipole fcc 3.810 342
Rus200700d400700 GGA Weighted LWeighted Lowdinouml;wdin fcc 3.810 332
Rus200700d400700 GGA Löwdin fcc 3.810 332
Rus200700d400700 GGA Mulliken dipole fcc 3.810 338

The LDA calculation is done with the ncpp file to obtain 044.pp pseudopotential :

ncpp.psot ncpp.psot

The GGA calculation is done with the ncpp file to obtain 044.pp pseudopotential :

ncpp.psot ncpp.psot