1. t_2g⁴e_g² 2. t_2g⁶e_g⁰ 3. e³t₂³ 4. e⁴t₂²

Topic: Crystal field theory, colour and magnetic properties· Coordination Compounds

What is the correct electronic configuration of the central atom in K_4[Fe(CN)_6] based on crystal field theory ?

1. \(t_{2g}^{4}e_{g}^{2}\)

2. \(t_{2g}^{6}e_{g}^{0}\)

3. \(e^{3}t_{2}^{3}\)

4. \(e^{4}t_{2}^{2}\)

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Answer: 2. \(t_{2g}^{6}e_{g}^{0}\)

In \(\mathrm{K_4[Fe(CN)_6]}\) iron is Fe(II), a \(d^6\) ion. \(\mathrm{CN^-}\) is a strong field ligand, so the pairing energy is lower than \(\Delta_o\) and all six electrons pair up in the lower \(t_{2g}\) set: \(t_{2g}^6 e_g^0\), low spin and diamagnetic. Option (2). Option (1) is the high spin case; options (3) and (4) are for tetrahedral fields.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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What is the correct electronic configuration of the central atom in K_4[Fe(CN)_6] based on crystal field theory ?

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