Question #54386

What would be the calculated magnetic moment of [Ni(H 2 O) 6 ] 2+ ?

Expert's answer

Answer on Question #54386 – Chemistry – Inorganic Chemistry

Question:

What would be the calculated magnetic moment of [Ni(H2O)6]2+\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right) 6\right]^{2+}?

Answer:

The magnetic moment (spin only) for Ni2+\mathrm{Ni}^{2+} ion can be found according to the equation:


μ=[n(n+2)]1/2, where n the number of unpaired electrons.\mu = \left[ n (n + 2) \right] ^ {1 / 2}, \text{ where } n - \text{ the number of unpaired electrons}.


Being in octahedral coordination environment, Ni(II) has the following electronic configuration of d-electrons:


3d8:eg2t2g63 d ^ {8}: e _ {g} ^ {2} t _ {2 g} ^ {6}


Thus, electrons sitting on the ege_g are unpaired, and those, which are on the t2gt_{2g}, form 3 pairs. Therefore, the number of unpaired electrons is only 2.

Finally, the magnetic moment equals:


μ=[2(2+2)]1/2=2.83μB (the Bohr magneton)\mu = \left[ 2 (2 + 2) \right] ^ {1 / 2} = 2.83 \mu_B \text{ (the Bohr magneton)}


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