Facial ($$fac$$) and Meridional ($$mer$$) Isomerism

Rarely Tested

Isomeric Geometry Condition:

$$\text{Facial (fac) Isomer: } 3 \text{ donor atoms of same ligand occupy vertices of a single octahedral face } (90^\circ\text{--}90^\circ\text{--}90^\circ \text{ cis positions})$$

$$\text{Meridional (mer) Isomer: } 3 \text{ donor atoms of same ligand lie along a meridian / plane passing through the metal } (90^\circ\text{--}90^\circ\text{--}180^\circ)$$

Concept:

Octahedral complexes of the formula $$[Ma_3b_3]$$ (e.g., $$[\text{Co}(\text{NH}_3)_3(\text{NO}_2)_3]$$) exhibit geometrical isomerism called $$fac$$-$$mer$$ isomerism rather than $$cis$$-$$trans$$. Both $$fac$$ and $$mer$$ isomers contain a plane of symmetry (POS) and are therefore optically inactive (achiral).

Notation:

  • $$a, b$$ = Unidentate ligands
  • $$fac$$ = Facial alignment (all identical ligands adjacent)
  • $$mer$$ = Meridional alignment (ligands encircle the central atom in a plane)
Question 1

Consider that the coordinating atoms of the ligands in cis-[Co(NH$$_3$$)$$_4$$Cl$$_2$$]Cl and mer-[Co(NH$$_3$$)$$_3$$Cl$$_3$$] octahedral complexes are at the vertices of an octahedron. The sum of total number of the triangular faces in both the complexes having one N atom and two Cl atoms at their corners is ___.

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