The homoleptic and octahedral complex of Co 2+ and H 2 O has unpaired electron(s) in the t 2g set of orbitals.
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(1) The electronic configuration of Co 2+ is 3d 7 . In an octahedral complex of Co 2+ with H 2 O ligands, the d orbital split into two sets of energy levels.
t 2g (lower energy) and e g (higher energy).
In this case, since the complex is octahedral, we have six ligands surrounding the central cobalt ion. Each ligand donates a pair of electron to the cobalt ion, occupying the available d orbitals.
So, 
In the t 2g set of orbitals, there will be 1 unpaired electron
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