“…The hybrid PBE0 density functional method, (DFT-PBE0), 26,27 was used in combination with all-electron, Gaussian-type basis sets based on Karlsruhe def2 sets. 28 Triple-ζ-valence + polarization level basis sets were used for Mn, Ti, La, and O, 29,30 while split-valence + polarization level basis sets were used for Ca and Ba (the Ca basis is included in the ESI†). 31 The Monkhorst–Pack type k -meshes for sampling the reciprocal space are listed in the ESI † 32 .…”