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The correct increasing order of stability of the complexes based on \({\Delta }_{0}\) value is I. \({\left[Mn(CN{)}_{6}\…

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The correct increasing order of stability of the complexes based on \({\Delta }_{0}\) value is
I. \({\left[Mn(CN{)}_{6}\right]}^{3-}\)
II. \({\left[Co(CN{)}_{6}\right]}^{4-}\)
III. \({\left[Fe(CN{)}_{6}\right]}^{4-}\)
IV. \({\left[Fe(CN{)}_{6}\right]}^{3-}\)
[JEE Main 2025, 29 Jan (Shift 1)]

a

II < III < I < IV

b

III < II < IV < I

c

I < II < IV < III

d

IV < III < II < I

✓ Correct answer: c)

I < II < IV < III

Explanation

(I) \({\left[Mn(CN{)}_{6}\right]}^{3-}=-1.6{\Delta }_{0}\)
(II) \({\left[Co(CN{)}_{6}\right]}^{4-}=-1.8{\Delta }_{0}\)
(III) \({\left[Fe(CN{)}_{6}\right]}^{4-}=-2.4{\Delta }_{0}\)
(IV) \({\left[Fe(CN{)}_{6}\right]}^{3-}=-2.0{\Delta }_{0}\)

The stability of a complex can be correlated with its Crystal Field Stabilization Energy (CFSE). CFSE is the energy difference between the metal ion in the complex and its energy in the isolated state due to the splitting of d-orbitals in the presence of a ligand field. Higher CFSE values correspond to more stable complexes.

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