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Vp Patio tend to undergo positron emission. Question 5 What is the crystal field energy level diagram for the complex (Co(CN)
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Answer #1

In the complex Co(CN)_{6}^{3-} , the metal atom, Co^{3+} is d^{6} . So, from the electron count of the complex and knowing that cyanide is a strong field ligand, we can conclude the answer (I) but certain things are important to discuss so that we can solve these problems with ease.

[ To calculate the charge of the central metal atom Co, assume its charge is 'x', now 6 cyanide ligands have '-1' charge each making a total of '-6' and the overall complex has a charge of '-3'. So, x-6=-3,\Rightarrow x=+3 . So, Co is in the oxidation state of '+3' in the complex. Now, Co has a configuration of Co-[Ar]3d^{7}4s^{2} , so to make Co^{3+} , we first have to remove the two 4s electrons and one 3d electron which makes it a d^{6} complex.]

Now, CN^{-} is a strong field pi-acceptor ligand (from spectrochemical series!) which means in the co, complex, it makes a higher energy barrier between the t_{2g} and e_{g} sets of orbitals. Now, to place the six electrons, we cannot use the e_{g} as the energy of the complex cannot be compensated in that case, so we have to place all the six electrons in the t_{2g} orbital only. So, the e_{g} remains vacant and our configuration becomes the one that is depicted in I .

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