Which of the following complex compound exhibits geometrical isomerism?

Options

A. `[Fe(DMG)_(2)]`
B. `[Be(gly)_(2)]`
C. `[PdClBr(gly)]`
D. `[Cd(NH_(3))Cl(gly)]`

Explanation

To determine which of the given complex compounds exhibits geometrical isomerism, we will analyze each compound based on its structure and hybridization.

### Step 1: Identify the Compounds
We have four complex compounds to evaluate:
1. Fe(DMG)₂
2. Be(glycinato)₂
3. PdClBr(glycinato)
4. Cd(NH₃)Cl(glycinato)

### Step 2: Analyze Each Compound

#### Compound 1: Fe(DMG)₂
- **Structure**: DMG (Dimethylglyoxime) is a bidentate ligand.
- **Oxidation State**: Fe is in the oxidation state 0, leading to a configuration of 3d⁶ 4s².
- **Hybridization**: This complex will undergo sp³ hybridization.
- **Geometrical Isomerism**: Since it is sp³ hybridized, it forms a tetrahedral geometry, which does not exhibit geometrical isomerism.

#### Compound 2: Be(glycinato)₂
- **Structure**: Glycinato is also a bidentate ligand.
- **Hybridization**: This complex will also form an sp³ hybridized tetrahedral complex.
- **Geometrical Isomerism**: Similar to the first compound, tetrahedral complexes do not exhibit geometrical isomerism.

#### Compound 3: PdClBr(glycinato)
- **Structure**: This complex contains a square planar arrangement due to the presence of a transition metal (Pd).
- **Oxidation State**: Pd is in the +2 oxidation state.
- **Hybridization**: This complex will undergo d²sp³ hybridization, resulting in a square planar geometry.
- **Geometrical Isomerism**: Square planar complexes can exhibit geometrical isomerism due to the arrangement of ligands around the central metal ion.

#### Compound 4: Cd(NH₃)Cl(glycinato)
- **Hybridization**: This complex is also sp³ hybridized, leading to a tetrahedral geometry.
- **Geometrical Isomerism**: As with the previous tetrahedral complexes, this one does not exhibit geometrical isomerism.

### Step 3: Conclusion
Based on the analysis, the only compound that exhibits geometrical isomerism is **PdClBr(glycinato)** (Option C).

### Final Answer
The complex compound that exhibits geometrical isomerism is **C. PdClBr(glycinato)**.

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