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The magnetic moment of an octahedral Co(II) complex is 4.0 BM . The electronic configuration of the complex is t2g5 eg2 t2g6 eg1 t2g3 eg4 t2g4 eg3?
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The magnetic moment of an octahedral Co(II) complex is 4.0 BM . The el...
Electronic Configuration of the Octahedral Co(II) Complex


The electronic configuration of the octahedral Co(II) complex can be determined using the crystal field theory. In this theory, the ligands surrounding the central metal ion cause a splitting of the d orbitals into two sets of orbitals with different energies:



  • t2g orbitals - lower in energy and occupied by 5 electrons

  • eg orbitals - higher in energy and occupied by 2 electrons



The electronic configuration of the complex can be represented as:



  • t2g5eg2



Magnetic Moment of the Complex


The magnetic moment of the complex can be calculated using the formula:



  • μ = √(n(n+2))BM



where n is the number of unpaired electrons and BM is the Bohr magneton. For the given electronic configuration, the number of unpaired electrons is:



  • n = 2



Substituting the values in the formula:



  • μ = √(2(2+2))BM = 2BM



Therefore, the magnetic moment of the complex is 4.0 BM which is not consistent with the electronic configuration t2g5eg2. This can be explained by invoking the concept of spin-orbit coupling.


Spin-Orbit Coupling


Spin-orbit coupling is the interaction between the magnetic field generated by the motion of electrons (spin) and the magnetic field generated by the motion of electrons around the nucleus (orbit). This interaction causes a splitting of the energy levels of the d orbitals into two sets:



  • t2g and eg' - lower in energy

  • eg and t2g' - higher in energy



The electronic configuration of the complex can be rewritten as:



  • t2g6eg1



This configuration has one unpaired electron in the eg orbital, which gives a magnetic moment of:



  • μ = √(1(1+2))BM = 1.73BM



The observed magnetic moment of 4.0 BM can be explained by assuming that the complex is in a high spin state, where the eg and t2g' levels are close in energy and the electron can occupy both orbitals. In this state, the complex has two unpaired electrons in the eg orbital, which gives a magnetic moment of
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The magnetic moment of an octahedral Co(II) complex is 4.0 BM . The electronic configuration of the complex is t2g5 eg2 t2g6 eg1 t2g3 eg4 t2g4 eg3?
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