  The first-principles calculations have been performed to investigate the
ground state properties of cubic scandium trifluoride (ScF$_3$) perovskite.
Using modified hybrid exchange-correlation functionals within the density
functional theory (DFT) we have comprehensively compared the electronic
properties of ScF$_3$ obtained by means of the linear combination of atomic
orbitals (LCAO) and projector augmented-waves (PAW) methods. Both methods
allowed us to reproduce the lattice constant experimentally observed in cubic
ScF$_3$ at low temperatures and predict its electronic structure in good
agreement with known experimental valence-band photoelectron and F 1$s$ X-ray
absorption spectra.
