A metal complex of coordination number six having three different types of ligands a, b and c of com β Coordination Compounds Chemistry Question
Question
A metal complex of coordination number six having three different types of ligands a, b and c of composition Ma2b2c2 can exist in several geometrical isomeric forms; the total number of such isomers is :
π‘ Solution & Explanation
Step 1: An octahedral complex of the type Ma_2b_2c_2 contains three pairs of identical ligands. Step 2: Systematically arrange these pairs in cis and trans positions: (1) all trans [trans-a, trans-b, trans-c], (2) all cis [cis-a, cis-b, cis-c], and (3) one pair trans with two pairs cis (which yields 3 isomers: trans-a, trans-b, or trans-c). Step 3: This systematic enumeration yields exactly 1 + 1 + 3 = 5 distinct geometrical isomers, corresponding to option (b).