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Use appropriate formulae to calculate the “spin-only” and “s+l” magnetic moments for: a. Cs2[Ni(CN)4] b. [cu(nh3)4]cl2 c. K2[CoCl4] d. [ni(nh3)6]i2 e. [co(nh3)6](no3)3 f. [cr(nh3)6]br3

Accepted Answer

Here are the calculated magnetic moments for the given complexes using the spin-only and S+L formulas:
a. Cs2[Ni(CN)4]
Electronic configuration of Ni(II): [Ar] 3d8
Coordination number: 4
Ligand: CN- (strong field ligand)
Hybridization: dsp2
Geometry: Square planar
Number of unpaired electrons: 0
Spin-only magnetic moment: 0 BM
S+L magnetic moment: 0 BM
b. [Cu(NH3)4]Cl2
Electronic configuration of Cu(II): [Ar] 3d9
Coordination number: 4
Ligand: NH3 (weak field ligand)
Hybridization: sp3
Geometry: Tetrahedral
Number of unpaired electrons: 1
Spin-only magnetic moment: 1.73 BM
S+L magnetic moment: 3.87 BM
c. K2[CoCl4]
Electronic configuration of Co(II): [Ar] 3d7
Coordination number: 4
Ligand: Cl- (weak field ligand)
Hybridization: sp3
Geometry: Tetrahedral
Number of unpaired electrons: 3
Spin-only magnetic moment: 3.87 BM
S+L magnetic moment: 5.92 BM
d. [Ni(NH3)6]I2
Electronic configuration of Ni(II): [Ar] 3d8
Coordination number: 6
Ligand: NH3 (weak field ligand)
Hybridization: sp3d2
Geometry: Octahedral
Number of unpaired electrons: 2
Spin-only magnetic moment: 2.83 BM
S+L magnetic moment: 4.90 BM
e. [Co(NH3)6](NO3)3
Electronic configuration of Co(III): [Ar] 3d6
Coordination number: 6
Ligand: NH3 (weak field ligand)
Hybridization: sp3d2
Geometry: Octahedral
Number of unpaired electrons: 0
Spin-only magnetic moment: 0 BM
S+L magnetic moment: 0 BM
f. [Cr(NH3)6]Br3
Electronic configuration of Cr(III): [Ar] 3d3
Coordination number: 6
Ligand: NH3 (weak field ligand)
Hybridization: sp3d2
Geometry: Octahedral
Number of unpaired electrons: 3
Spin-only magnetic moment: 3.87 BM
S+L magnetic moment: 5.92 BM
Formulas Used:
Spin-only magnetic moment: μs = √n(n+2) BM (where n is the number of unpaired electrons)
S+L magnetic moment: μs+l = √[S(S+1) + L(L+1)] BM (where S is the total spin angular momentum and L is the total orbital angular momentum)


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