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NEET CHEMISTRYMedium

Among the following complexes, the one which shows zero crystal field stabilisation energy (CFSE) is:

A

[Mn(H2O)6]3+[Mn(H_2O)_6]^{3+}

B

[Fe(H2O)6]3+[Fe(H_2O)_6]^{3+}

C

[Co(H2O)6]2+[Co(H_2O)_6]^{2+}

D

[Co(H2O)6]3+[Co(H_2O)_6]^{3+}

Step-by-Step Solution

In the given complexes, H2OH_2O acts as a weak field ligand for 3d3d series elements in +2 and +3 oxidation states (with the exception of Co3+Co^{3+} where it can act as a strong field ligand). Let's calculate the Crystal Field Stabilisation Energy (CFSE) for each:

  1. [Mn(H2O)6]3+[Mn(H_2O)_6]^{3+} : Central metal is Mn3+Mn^{3+} (3d43d^4). As H2OH_2O is a weak field ligand, it forms a high-spin complex (t2g3eg1t_{2g}^3 e_g^1). CFSE=(0.4×3+0.6×1)Δo=0.6ΔoCFSE = (-0.4 \times 3 + 0.6 \times 1)\Delta_o = -0.6\Delta_o

  2. [Fe(H2O)6]3+[Fe(H_2O)_6]^{3+} : Central metal is Fe3+Fe^{3+} (3d53d^5). As H2OH_2O is a weak field ligand, it forms a high-spin complex (t2g3eg2t_{2g}^3 e_g^2). CFSE=(0.4×3+0.6×2)Δo=(1.2+1.2)Δo=0ΔoCFSE = (-0.4 \times 3 + 0.6 \times 2)\Delta_o = (-1.2 + 1.2)\Delta_o = 0\Delta_o

  3. [Co(H2O)6]2+[Co(H_2O)_6]^{2+} : Central metal is Co2+Co^{2+} (3d73d^7). It forms a high-spin complex (t2g5eg2t_{2g}^5 e_g^2). CFSE=(0.4×5+0.6×2)Δo=0.8ΔoCFSE = (-0.4 \times 5 + 0.6 \times 2)\Delta_o = -0.8\Delta_o

  4. [Co(H2O)6]3+[Co(H_2O)_6]^{3+} : Central metal is Co3+Co^{3+} (3d63d^6). With H2OH_2O it usually forms a low-spin complex (t2g6eg0t_{2g}^6 e_g^0) having CFSE=2.4ΔoCFSE = -2.4\Delta_o. Even if considered high spin (t2g4eg2t_{2g}^4 e_g^2), CFSE=0.4ΔoCFSE = -0.4\Delta_o.

Therefore, [Fe(H2O)6]3+[Fe(H_2O)_6]^{3+} exhibits zero CFSE.

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