JEE Main 2020 · 8 January · morning · Single correct · +4 / −1

The complex that can show fac- and mer-isomers is :

  1. (a) [CoCl₂(en)₂]
  2. (b) [Pt(NH₃)₂Cl₂]
  3. (c) [Co(NH₃)₃(NO₂)₃]
  4. (d) [Co(NH₃)₄Cl₂]⁺
Answer and solution

Answer (c) [Co(NH₃)₃(NO₂)₃]

Solution

Chemistry ma’am · 3 steps

Fac and mer need an octahedron holding three of one ligand: look for the MA₃B₃ pattern.

  1. Fac versus mer. In an octahedral MA₃B₃ complex, the three A ligands can sit on one triangular face (fac). They can also sit along a line through the metal, a meridian (mer). This needs six coordination and exactly three of each ligand.
    ComplexGeometryTypeIsomerism shown
    [CoCl₂(en)₂]octahedralM(AA)₂B₂cis-trans (cis is also optical)
    [Pt(NH₃)₂Cl₂]square planarMA₂B₂cis-trans only
    [Co(NH₃)₃(NO₂)₃]octahedralMA₃B₃fac and mer
    [Co(NH₃)₄Cl₂]⁺octahedralMA₄B₂cis-trans only
  2. Why only one fits. Two identical ligands can only be cis or trans to each other. You need a set of three identical ligands before the face-versus-meridian choice exists.
  3. So. Only (c), [Co(NH₃)₃(NO₂)₃], is an octahedral MA₃B₃ complex, so it is the one that shows fac and mer isomers.

The idea to keep. Fac and mer are about three identical ligands in an octahedron. A pair of identical ligands gives only cis and trans, so first look for the MA₃B₃ pattern.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Coordination Compounds

Asked about 250 times in JEE Main since 2020. This question is from 2020.