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We started the optimization of Ni5+ from a square pyramid structure. During optimization the cluster distorted as the diagonals of the tetragonal base become different, 273 and 367 pm, which is to be compared to 327 pm for the diagonals of the Ni5/C4v-sp structure. The resulting structure can also be considered as distorted trigonal bipyramid where one of the equatorial Ni-Ni bonds is considerably extended to 273 pm. while the other Ni-Ni distances are 233 pm (equatorial) and 231, 236 pm axial, The deviation of the cationic cluster from both high symmetry structures can be rationalized as Jahn-Teller distortion. The HOMO, occupied by only one electron, originally is a degenerate c-type set. which splits upon distortion. The stability of the ionized species Ni5+ with respect to 4 Ni atoms and I Ni+ ion is 603 kJ/mol on average per mononuclear species
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The overestimation of the calculated detachment energy of a Ni atom is partially due to the fact that an Oh symmetry constraint causes an overestimation of the total energy of a Ni atom. Reduction of the symmetry results in a splitting of the d-shell and removes the degeneracy. The calculation of the atomic energy is complicated because in axial symmetry the 4s and the 3dz2 AO of Ni belong to the same irreproducible representation, at, rendering it difficult to converge a configuration without holes below the HOMO. Thus, we estimated an upper limit of the atomic energy of Ni with 3d94s1 configuration in C4v and D2h symmetry where the one-electron spectra show holes, The corresponding total energies are 27 and 33 kJ/mol more stable than with Oh symmetry. Therefore, the overestimation of the experimental detachment energy for an Ni atom from the neutral Ni5 cluster is reduced from 64 kJ/mol to about
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