MCQEasyJEE 2023Crystal Field Theory

JEE Chemistry 2023 Question with Solution

The octahedral diamagnetic low spin complex among the following is:

  • A

    [CoF6F_6]3^{3-}

  • B

    [CoCl6Cl_6]3^{3-}

  • C

    [Co(NH3_3)6_6]3+^{3+}

  • D

    [NiCl4Cl_4]2^{2-}

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The complexes are [CoF6]3[CoF_6]^{3-}, [CoCl6]3[CoCl_6]^{3-}, [Co(NH3)6]3+[Co(NH_3)_6]^{3+} and [NiCl4]2[NiCl_4]^{2-}.

Find: The octahedral diamagnetic low-spin complex.

From the solution, the ligand field strength determines whether the complex is high spin or low spin.

For [Co(NH3)6]3+[Co(NH_3)_6]^{3+}, the coordination number is 66, so it is octahedral. Ammonia, NH3NH_3, is a strong field ligand.

Cobalt has electronic configuration

[Ar]3d74s2[Ar] \, 3d^7 4s^2

Therefore, Co3+Co^{3+} has configuration

[Ar]3d6[Ar] \, 3d^6

In the presence of strong field ligand NH3NH_3, electrons pair up to give

t2g6eg0t_{2g}^6 e_g^0

All electrons are paired, so the complex is diamagnetic and it is a low-spin octahedral complex.

However, the solution states "The Correct Option is A" while its own working and final answer identify [Co(NH3)6]3+[Co(NH_3)_6]^{3+}, which corresponds to option C in the given options. Using the solution working as the authority, the correct option is C.

Reconciling the option mismatch

Given: the solution contains an internal mismatch.

Find: Which option label matches the compound concluded by the working.

The step-by-step explanation explicitly concludes that [Co(NH3)6]3+[Co(NH_3)_6]^{3+} is diamagnetic, low-spin and octahedral.

Mapping the listed options:

  1. [CoF6]3[CoF_6]^{3-} \rightarrow A
  2. [CoCl6]3[CoCl_6]^{3-} \rightarrow B
  3. [Co(NH3)6]3+[Co(NH_3)_6]^{3+} \rightarrow C
  4. [NiCl4]2[NiCl_4]^{2-} \rightarrow D

So although the solution says "The Correct Option is A", the worked solution clearly supports option C.

Therefore, the defensible answer from the solution content is C.

Common mistakes

  • Assuming every octahedral complex is low spin. This is wrong because spin state depends on ligand field strength, not only geometry. Check whether the ligand is strong field or weak field before deciding electron pairing.

  • Ignoring the oxidation state of cobalt. This is wrong because the dd-electron count must be calculated for Co3+Co^{3+}, not neutral cobalt. First find the oxidation state, then write the correct electronic configuration.

  • Choosing [NiCl4]2[NiCl_4]^{2-} because of diamagnetism or familiar ligand names. This is wrong because the question asks for an octahedral low-spin complex, while [NiCl4]2[NiCl_4]^{2-} is typically tetrahedral with chloride as a weak field ligand.

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