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Improved quasiparticle self-consistent electronic band structure and excitons in β – LiGaO 2

The band structure of β–LiGaO 2 is calculated using the quasiparticle self-consistent QSGWˆ method where the screened Coulomb interaction Wˆ is evaluated including electron-hole interaction ladder diagrams and G is the one-electron Green's function. Improved convergence compared to previous calculations leads to a significantly larger band gap of about 7.0 eV. However, exciton binding energies are found to be large and lead to an exciton gap of about 6.0 eV if also a zero-point-motion correction of about –0.4 eV is included. Furthermore, these results are in excellent agreement with recent experimental results on the onset of absorption. Besides the excitons observed thus far, the calculations indicate the existence of a Rydberg-like series of exciton excited states, which is however modified from the classical Wannier exciton model by the anisotropies of the material and the more complex mixing of Bloch states in the excitons resulting from the Bethe-Salpeter equation. The exciton fine structure and the exciton wave functions are visualized and analyzed in various ways.

36 MATERIALS SCIENCE↗

Materials Data on LiGaO2 by Materials Project

LiGaO2 is Enargite-like structured and crystallizes in the orthorhombic Pna2_1 space group. The structure is three-dimensional. Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four equivalent LiO4 tetrahedra and corners with eight equivalent GaO4 tetrahedra. There are one shorter (2.00 Å) and three longer (2.02 Å) Li–O bond lengths. Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four equivalent GaO4 tetrahedra and corners with eight equivalent LiO4 tetrahedra. There is two shorter (1.87 Å) and two longer (1.88 Å) Ga–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+ and two equivalent Ga3+ atoms to form corner-sharing OLi2Ga2 tetrahedra. In the second O2- site, O2- is bonded to two equivalent Li1+ and two equivalent Ga3+ atoms to form corner-sharing OLi2Ga2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiGaO2 by Materials Project

LiGaO2 is Caswellsilverite structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent GaO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent GaO6 octahedra. The corner-sharing octahedral tilt angles are 6°. All Li–O bond lengths are 2.17 Å. Ga3+ is bonded to six equivalent O2- atoms to form GaO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent GaO6 octahedra. The corner-sharing octahedral tilt angles are 6°. All Ga–O bond lengths are 2.03 Å. O2- is bonded to three equivalent Li1+ and three equivalent Ga3+ atoms to form a mixture of corner and edge-sharing OLi3Ga3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on LiGaO2 by Materials Project

LiGaO2 is Caswellsilverite-like structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with eight equivalent GaO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.93 Å) and four longer (2.12 Å) Li–O bond lengths. Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six equivalent GaO6 octahedra, edges with four equivalent GaO6 octahedra, and edges with eight equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.93 Å) and four longer (2.12 Å) Ga–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Li1+ and two equivalent Ga3+ atoms to form a mixture of edge and corner-sharing OLi4Ga2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to two equivalent Li1+ and four equivalent Ga3+ atoms to form OLi2Ga4 octahedra that share corners with six equivalent OLi2Ga4 octahedra and edges with twelve OLi4Ga2 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗