Table 1. Expected k points of the conduction band minimum (CBM) and valence band maximum (VBM) for all possible combinations of B and B′ orbitals. Note that the VBM and CBM must be evaluated separately for a given perovskite.
Orbitals |
Prediction |
||
B | B′ | VBM | CBM |
σ-Bonding states a | |||
s | s | Γ | Γ |
p | p | Γ | Γ |
dx2–y2/dz2 | dx2–y2/dz2 | Γ & X | Γ & X |
s | p | L | L |
s | dx2–y2/dz2 | X | X |
p | dx2–y2/dz2 | — | — |
s | Null | X | Γ |
p | Null | L | L |
dx2–y2/dz2 | Null | Γ & X | X |
Null | Null | Γ & X | — |
π-Bonding states a | |||
dxy/yz/xz | dxy/yz/xz | Γ & X | Γ & X |
dxy/yz/xz | Null | X | Γ & X |
Null | Null | Γ b | — |
aπ- and σ-bonding states involve orthogonal orbitals and cannot interact (see ESI).
bThe σ-bonding halide-only states have more 90° X–X interactions than the π-bonding ones and will often form the band extrema (see ESI).