Strongly favour O holes Increasing d-electrons disfavours M holes (in line with M ionisation energy) J. B. Torrance, R. M. Metzger, Role of the Madelung energy in hole conductivity of copper oxides, Phys. Rev. Lett. 1989
Generate possible spin orderings Full relaxation DOS calculation for lowest energy structure 1M. K. Horton et al., High-throughput prediction of the ground-state collinear magnetic order of inorganic materials using Density Functional Theory, npj Comp. Mater. 2019 , , … Magnetic ordering1 Hybrid DFT • HSE06 (25% screened HF exact exchange) • 64 Å3 K-point density • 600 eV energy cut off
unitV TotDO D2S 0g (V) 2 (S) −4 −2 0 2 4 (nergy (eV) ArE. unitV TotDO D2S Cu (d) 2 (S) MgO VBM is ~100% O p-states Cu2 O VBM is ~90% Cu d-states At the two extremes for binary oxides, the VBM can be dominated by O p-states or M d-states
be dominated by O p-states or M d-states −4 −2 0 2 4 (nergy (eV) ArE. unitV TotDO D2S 0g (V) 2 (S) −4 −2 0 2 4 (nergy (eV) ArE. unitV TotDO D2S Cu (d) 2 (S) LiCoO2 VBM is ~40% O p-states, ~60% Co d-states −4 −2 0 2 4 (nergy (eV) ArE. unitV TotDO D2S Co (d) 2 (S) Orbital overlap
p-character across each TM row (Large JT effect for Fe and reorganisation to square planar for Pt) Fraction of O p-states in upper 1 eV of VBM 1st row 2nd row 3rd row
anion redox processes in metal oxides • Qualitative trends can be extracted from electrostatic considerations • The fraction of O p-character can vary from 20% – 90% • The materials design challenge is to tune the fraction deterministically