`[Fe(NO_(2))_(3)Cl_(3)]` and `[Fe(O-NO)_(3)Cl_(3)]` show

Options

A. Linkage isomerism
B. Geometrical isomerism
C. Optical isomerism
D. Hydrate isomerism

Answer

To determine the types of isomerism exhibited by the complexes \([Fe(NO_2)_3Cl_3]\) and \([Fe(O-NO)_3Cl_3]\), we will analyze the ligands and their arrangements around the central metal atom (iron in this case).

### Step-by-Step Solution:

1. **Identify the Ligands**:
- The first complex \([Fe(NO_2)_3Cl_3]\) contains the nitro group (NO₂) as a ligand.
- The second complex \([Fe(O-NO)_3Cl_3]\) contains the nitrito group (O-NO) as a ligand.

2. **Understand Ambidentate Ligands**:
- Both NO₂ and O-NO can act as ambidentate ligands. This means they can coordinate to the metal atom through different atoms.
- In the case of NO₂, it can coordinate through the nitrogen (N) or the oxygen (O) atom.
- In the case of O-NO, it specifically coordinates through the oxygen atom.

3. **Linkage Isomerism**:
- Since the nitro group (NO₂) can bind through either N or O, we have two different arrangements leading to linkage isomerism.
- The two isomers can be represented as:
- \([Fe(NO_2)_3Cl_3]\) where N is the donor atom.
- \([Fe(O-NO)_3Cl_3]\) where O is the donor atom.

4. **Geometrical Isomerism**:
- The complexes are octahedral, and geometrical isomerism can occur due to different spatial arrangements of the ligands.
- For example, if two NO₂ groups are adjacent (cis) or opposite (trans) to each other, this results in geometrical isomers.

5. **Optical Isomerism**:
- Optical isomerism occurs in chiral molecules. If the arrangement of ligands around the central atom creates a non-superimposable mirror image, optical isomers can exist.

6. **Hydrate Isomerism**:
- This type of isomerism involves the presence of water molecules either within the coordination sphere or outside it. Since water is not a ligand in these complexes, hydrate isomerism does not apply here.

### Conclusion:
- The complexes \([Fe(NO_2)_3Cl_3]\) and \([Fe(O-NO)_3Cl_3]\) exhibit **linkage isomerism** due to the presence of the ambidentate ligand (NO₂) and the different donor atoms it can use to bind to the metal center.