Abstract. The first-principles calculations have been performed to investigate the ground state properties of cubic scandium trifluoride (ScF3) perovskite. Using modified hybrid exchange-correlation functionals within the density functional theory (DFT) we have comprehensively compared the electronic properties of ScF3 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 ScF3 at low temperatures and predict its electronic structure in good agreement with known experimental valence-band photoelectron and F 1s X-ray absorption spectra.
IntroductionScandium trifluoride (ScF 3 ) is a promising material attracted much attention due to recently discovered strong negative thermal expansion (NTE) coefficient over a wide range of temperatures from 10 to 1100 K [1].At atmospheric pressure ScF 3 has cubic (space group P m3m) ReO 3 -type structure ( Fig. 1) down to at least 10 K [1]. However, opposite to the metallic ReO 3 , which has very week NTE effect [2,3], scandium trifluoride is an insulator with band gap of more than 8 eV [4]. A cubicto-rhombohedral phase transition occurs in ScF 3 at high pressure (P >0.5 GPa at T ∼300 K or P =0.1-0.2 GPa at 50 K) as determined from X-ray and neutron diffraction studies [1,5]. Raman spectroscopy confirms that upon pressure increase cubic ScF 3 undergo a phase transition to the rhombohedral (space group R3c) phase [5,6].The electronic structure of ScF 3 thin films has been investigated by means of resonant photoemission spectroscopy at the Sc 2p and F 1s absorption edges in Ref. [4]. Two chargetransfer-type satellites, the first one at about 13 eV below the main peaks in the valence-band and the second one with an energy separation of about 9-10 eV, were observed and indicate the strong hybridization effect between Sc 3d and F 2p states [4].The phonon properties of ScF 3 have been studied using a combination of inelastic neutron scattering experiment with ab initio calculations of lattice dynamics [7]. It was shown that a description of NTE within the quasi-harmonic approximation is not reliable in the case of ScF 3 . The authors in [7] have demonstrated that the R4+ mode (the one with the lowest energy at R-point of Brillouin zone (BZ)) has quartic potential and proposed the mechanism for NTE based on this anharmonicity. The transition between the ground state and the first excited