Step 1: Understanding the Concept:
Structural isomerism in coordination compounds involves the same molecular formula but different connectivity of atoms.
Step 2: Key Formula or Approach:
Coordination isomerism occurs in compounds where both cation and anion are complex ions, and the ligands are interchanged between the two metal centers.
Step 3: Detailed Explanation:
In the given pair:
1. \([Co(NH_3)_6] [Cr(CN)_6]\): Cobalt is with ammine and Chromium is with cyanide.
2. \([Cr(NH_3)_6] [Co(CN)_6]\): The ligands have been swapped; Chromium is now with ammine and Cobalt is with cyanide.
Since the interchange happens between the coordination spheres of two different metals, it is coordination isomerism.
Step 4: Final Answer:
The isomers are examples of coordination isomerism.