Which of the following complex compounds does not exhibits cis-trans isomerism ?

Options

A. `[PtCl_(2)(NH_(3))_(2)]`
B. `[PdCl_(2)BrI]`
C. `[Pt(NH_(3))_(2) (Cl) (Br)]`
D. `[Pt(NH_(3))_(3)(Cl)]^(+)`

Explanation

To determine which of the given complex compounds does not exhibit cis-trans isomerism, we need to analyze the ligands attached to the central metal ion in each complex.

### Step-by-Step Solution:

1. **Understanding Cis-Trans Isomerism**:
- Cis-trans isomerism occurs in coordination compounds where there are at least two different types of ligands attached to the central metal ion. The arrangement of these ligands can result in two distinct forms:
- **Cis**: Ligands of the same type are adjacent to each other.
- **Trans**: Ligands of the same type are opposite each other.

2. **Analyzing Each Option**:
- **Option A: PtCl2(NH3)2**
- This complex has two chloride (Cl) ligands and two ammonia (NH3) ligands.
- It can form both cis and trans isomers (cis: Cl, Cl on one side and NH3, NH3 on the other; trans: Cl opposite Cl and NH3 opposite NH3).
- **Conclusion**: Exhibits cis-trans isomerism.

- **Option B: PdCl2BrI**
- This complex has two chloride ligands and two different ligands (Br and I).
- It can also form cis and trans isomers (cis: Cl, Cl adjacent; trans: Cl opposite Cl).
- **Conclusion**: Exhibits cis-trans isomerism.

- **Option C: Similar to Option B**
- This complex has two NH3 ligands and two different ligands (Cl and Br).
- It can form cis and trans isomers (cis: NH3, NH3 adjacent; trans: NH3 opposite NH3).
- **Conclusion**: Exhibits cis-trans isomerism.

- **Option D: Pt(NH3)3Cl+**
- This complex has three identical NH3 ligands and one chloride ligand.
- Since three ligands are the same, there is no possibility to have distinct arrangements that would lead to cis or trans forms.
- **Conclusion**: Does not exhibit cis-trans isomerism.

3. **Final Answer**:
- The complex that does not exhibit cis-trans isomerism is **Option D: Pt(NH3)3Cl+**.