The complexes `[Co(NH_3)_6] [Cr(CN)_6] and [Cr(NH_3)_6] [Co(CN)_6]` are the examples of which type of isomerism ?

Options

A. Linkage isomerism
B. lonization isomerism
C. Coordination isomerism
D. Geometrical isomerism

Explanation

To determine the type of isomerism exhibited by the complexes \([Co(NH_3)_6][Cr(CN)_6]\) and \([Cr(NH_3)_6][Co(CN)_6]\), we will analyze the composition and arrangement of ligands around the metal centers in these complexes.

### Step-by-Step Solution:

1. **Identify the Complexes**:
- The first complex is \([Co(NH_3)_6][Cr(CN)_6]\).
- The second complex is \([Cr(NH_3)_6][Co(CN)_6]\).

2. **Examine the Metal Centers**:
- In the first complex, cobalt (Co) is coordinated with six ammonia (NH₃) ligands, and chromium (Cr) is coordinated with six cyanide (CN) ligands.
- In the second complex, chromium (Cr) is coordinated with six ammonia (NH₃) ligands, and cobalt (Co) is coordinated with six cyanide (CN) ligands.

3. **Analyze the Ligands**:
- In both complexes, the ligands (NH₃ and CN) are the same, but their coordination to the metal centers is different.
- In the first complex, Co is with NH₃ and Cr is with CN, while in the second complex, Cr is with NH₃ and Co is with CN.

4. **Determine the Type of Isomerism**:
- Since the same ligands are coordinated to different metal centers in each complex, this is a case of **coordination isomerism**.
- Coordination isomerism occurs when the ligands are distributed differently among the metal ions in the complex, while maintaining the same overall composition.

5. **Conclusion**:
- Therefore, the complexes \([Co(NH_3)_6][Cr(CN)_6]\) and \([Cr(NH_3)_6][Co(CN)_6]\) are examples of **coordination isomerism**.