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The Orgel diagram for nickel(II) in an octahedral ligand field shows that the d orbitals split into two sets: the lower energy t2g set (dxy, dyz, dzx) and the higher energy eg set (dx2-y2, dz2). The observed absorption peaks correspond to electronic transitions from the lower energy t2g orbitals to the higher energy eg orbitals. Here's the assignment:
365 nm: This peak corresponds to the 3A2g → 3T1g(P) transition, which involves excitation of an electron from the t2g to the eg set.
600 nm: This peak corresponds to the 3A2g → 3T1g(F) transition, which is a spin-allowed transition involving excitation of an electron from the t2g to the eg set.
940 nm: This peak corresponds to the 3A2g → 3T2g transition, which is a spin-allowed transition involving excitation of an electron from the t2g to the eg set.