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Question 65 of 91

Q.What is 'effective atomic number' (EAN)? Calculate the effective atomic number of the central metal atom in the following compounds: a. K4[Fe(CN)6]K_4[Fe(CN)_6], Fe (Z = 26) b. Cr(CO)6Cr(CO)_6, Cr (Z = 24)

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2017Subjective· 3mImportance★★★★★
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EAN counts the total electrons 'around' the central metal, including those donated by ligands; both complexes here reach the stable 36-electron (Kr) count.

Effective Atomic Number (EAN): the total number of electrons effectively surrounding the central metal atom/ion in a complex, after accounting for the electrons it has lost (oxidation state) and the electron pairs donated to it by each ligand (each ligand donates 2 electrons via a coordinate bond):

EAN=Z−(oxidation state)+2×(coordination number)EAN = Z - (\text{oxidation state}) + 2 \times (\text{coordination number})

Sidgwick proposed that complexes tend to be more stable when their EAN equals the atomic number of the nearest noble gas (the '18-electron rule' in modern terms).

a. K4[Fe(CN)6]K_4[Fe(CN)_6], Fe (Z=26): the complex ion is [Fe(CN)6]4−[Fe(CN)_6]^{4-}; since CN−CN^- is a −1-1 ligand and there are 6 of them contributing −6-6 total charge to balance to −4-4 overall: (oxidation state of Fe) +6(−1)=−4⇒+ 6(-1) = -4 \Rightarrow Fe is +2+2. Coordination number =6=6.

EAN=26−2+2(6)=26−2+12=36EAN = 26 - 2 + 2(6) = 26 - 2 + 12 = 36

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