JEE MainChemistryCoordination Compounds
For an octahedral complex of Mn ²⁺ , the crystal field splitting energy ( _ o ) is 28000 cm ⁻¹ and the pairing energy (P) is 15800 cm ⁻¹ . The spin-only magnetic moment of the complex is _____ B.M. (round off to the nearest integer).
Correct answer
2
Step-by-step solution
The central metal ion is Mn ²⁺ . The electronic configuration of Mn ²⁺ is [ Ar ] 3 d ⁵ . Given: Crystal field splitting energy, _ o = 28000 cm ⁻¹ Pairing energy, P = 15800 cm ⁻¹ Since _ o > P , it is more energetically favourable for the electrons to pair up in the lower energy t _ 2 g orbitals rather than being promoted to the higher energy e _ g orbitals. Thus, it forms a low-spin complex. The splitting of 5 electrons in the d-orbitals will be: t _ 2 g ⁵ e _ g ⁰ . Number of unpaired electrons, n = 1 . The spin-on