We have studied the electronic structure of F-centers in the bulk and on the (100) surface of the MgO crystal. Chemical bonding analysis was performed using the natural bond orbital (NBO) analysis with periodic boundary conditions and the solid state adaptive natural density partitioning (SSAdNDP) method. The bonding in the pristine MgO was found to be very ionic, i.e., there are four lone pairs (s-, px-, py-, and pz-type) on every oxygen atom with the occupation numbers (ONs) in the range of 1.76–1.86 |e|. Within the O vacancy (Ov) located in the bulk of MgO we found a pair of electrons in the place of the missing oxygen atom that is revealed by SSAdNDP as a six-center two-electron (6c–2e) σ bond delocalized over six Mg atoms with ON = 1.87 |e|. In the other defected MgO system featuring the Ov on the (100) surface we also found a pair of electrons in the place of the missing oxygen atom that is revealed as a 5c–2e σ bond with ON = 1.84 |e|. Inclusion of the four closest Mg atoms of the second layer incr...
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