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The magnetic moment of an octahedral Co(II) complex is 4.0 uB. The d-electron configuration of Co(II) is:
  • a)
    t2g4 eg3
  • b)
    t2g5 eg2
  • c)
    t2g6 eg1
  • d)
    t2g3 eg4
Correct answer is option 'B'. Can you explain this answer?
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The magnetic moment of an octahedral Co(II) complex is 4.0 uB. The d-e...
Magnetic Moment of an Octahedral Co(II) Complex

The magnetic moment of an octahedral Co(II) complex is given as 4.0 uB. To determine the d-electron configuration of Co(II), we can use the formula:

μ = √n(n+2) BM

where μ is the magnetic moment in Bohr magnetons (BM), n is the number of unpaired electrons, and BM is the Bohr magneton (9.27 × 10^-24 J/T).

Using the given magnetic moment, we can rearrange the formula to solve for n:

n = (μ/√(n+2)) / BM

n = (4.0/√(n+2)) / 9.27 × 10^-24

n+2 = (4.0 / (n/(9.27 × 10^-24))^2

n+2 = 4.0 / (n/(9.27 × 10^-24))^2

Solving the equation using trial and error, we get n = 3. This means that there are three unpaired electrons in the d-orbitals of Co(II).

D-Electron Configuration of Co(II)

The d-electron configuration of Co(II) can be determined by filling the d-orbitals with electrons according to the Aufbau principle, Hund's rule, and the Pauli exclusion principle.

The electronic configuration of Co(II) is [Ar] 3d7. In an octahedral complex, the d-orbitals split into two sets: t2g (dxy, dyz, dzx) and eg (dx2-y2, dz2) orbitals.

Since there are three unpaired electrons in the d-orbitals of Co(II), they will occupy the t2g orbitals first, followed by the eg orbitals. Therefore, the d-electron configuration of Co(II) in an octahedral complex is:

t2g5 eg2

This is the correct answer (option B) as it corresponds to the observed magnetic moment of 4.0 uB.
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The magnetic moment of an octahedral Co(II) complex is 4.0 uB. The d-e...
For 3 unpaired electrons the magnetic moment is 3.8~4. Therefore the correct order of filling electrons is option B.
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The magnetic moment of an octahedral Co(II) complex is 4.0 uB. The d-electron configuration of Co(II) is:a)t2g4 eg3b)t2g5 eg2c)t2g6 eg1d)t2g3 eg4Correct answer is option 'B'. Can you explain this answer?
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