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Calculate the magnetic moment of a cobalt (II) ion, Co2+ in an octahedral field with a ligand field strength of 800 cm-1.

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To calculate the magnetic moment of a cobalt  II  ion  Co2+  in an octahedral field, we need to determine the electron configuration of the ion and then find the number of unpaired electrons. Finally, we will use the spin-only formula to calculate the magnetic moment.Cobalt has an atomic number of 27, so its ground state electron configuration is [Ar] 4s 3d. When cobalt loses two electrons to form the Co ion, its electron configuration becomes [Ar] 3d  [Ar] 3d.In an octahedral field, the five d orbitals split into two energy levels: the lower-energy tg orbitals  dxy, dyz, and dxz  and the higher-energy e_g orbitals  dz and dx-y . The ligand field strength  800 cm  does not affect the electron configuration in this case, as it only influences the energy gap between the tg and e_g orbitals.The electron configuration of Co in an octahedral field is:tg     3 electrons in tg orbitals e_g   2 electrons in e_g orbitals There are a total of 5 unpaired electrons in the Co ion.Now, we can use the spin-only formula to calculate the magnetic moment   : =  n n+2   _Bwhere n is the number of unpaired electrons and _B is the Bohr magneton  approximately 9.27  10 Am . =  5 5+2   _B =  5 7   _B = 35 _BThe magnetic moment of the Co ion in an octahedral field is approximately 35 _B.
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