Incorrect match for give complex compound/ion and its characteristics

Options

A. `[CrBrCl(en)_2]Br,` lonization and optical isomerism
B. `[CoBr_3(H_2O)_3]` , Fac - mer and hydrate isomerism
C. `[Pt Cl_2(NH_3)_4][Co(SCN)_4]` , Linkage isomerism and paramagnetic character
D. `[Co("ox")_3]^(3-)` , Inner orbital complex and optical isomerism

Answer

To solve the question, we need to identify the incorrect match between the given complex compounds/ions and their characteristics. Let's analyze each option step by step.

### Step 1: Analyze the first option
**Complex:** \( \text{CrBr}_2\text{Cl}(\text{en})_2\text{Br} \)
**Characteristics:** Ionization isomerism and optical isomerism

1. **Ionization Isomerism**: This occurs when the composition of the complex changes due to the exchange of ligands between the inner coordination sphere and the outer sphere. In this case, the bromide (Br) and chloride (Cl) can exchange positions, indicating that ionization isomerism is indeed possible.

2. **Optical Isomerism**: Optical isomerism occurs when a complex can exist in two non-superimposable mirror images. Given the structure, if we remove one Br and replace it with Cl, we can create a chiral center, confirming that optical isomerism is also possible.

**Conclusion**: This option is correct.

### Step 2: Analyze the second option
**Complex:** \( \text{CoBr}_3(\text{H}_2\text{O})_3 \)
**Characteristics:** Fac and mer isomerism and hydrate isomerism

1. **Fac and Mer Isomerism**: Cobalt(III) complexes can exhibit fac (facial) and mer (meridional) isomerism due to the arrangement of ligands around the central metal ion. This is valid for this complex.

2. **Hydrate Isomerism**: Hydrate isomerism occurs when water molecules can be either inside or outside the coordination sphere. In this case, all water molecules are coordinated to cobalt, and there are no water molecules outside the coordination sphere. Therefore, hydrate isomerism does not apply.

**Conclusion**: This option is incorrect.

### Step 3: Analyze the third option
**Complex:** \( \text{PdCl}_2(\text{NH}_3)_4\text{Co(SCN)}_4 \)
**Characteristics:** Linkage isomerism and paramagnetic character

1. **Linkage Isomerism**: This occurs when a ligand can coordinate to the metal in more than one way. In this case, thiocyanate (SCN) can bind through sulfur or nitrogen, indicating linkage isomerism is possible.

2. **Paramagnetic Character**: To determine if the complex is paramagnetic, we need to look at the oxidation states and electronic configurations. Palladium in this case is in a +2 oxidation state and has unpaired electrons, confirming that it is indeed paramagnetic.

**Conclusion**: This option is correct.

### Step 4: Analyze the fourth option
**Complex:** \( \text{Co}_4\text{X}_3^{3-} \)
**Characteristics:** Inner orbital complex and optical isomerism

1. **Inner Orbital Complex**: An inner orbital complex involves the use of d-orbitals from the inner shell for hybridization. Given the oxidation state of cobalt and the nature of the ligands, it can be determined that this is indeed an inner orbital complex.

2. **Optical Isomerism**: For a complex to show optical isomerism, it must be chiral. The structure of this complex can be drawn to confirm that it does not have a plane of symmetry, indicating that it can exist in non-superimposable forms.

**Conclusion**: This option is correct.

### Final Conclusion
The only incorrect match is found in the **second option** regarding \( \text{CoBr}_3(\text{H}_2\text{O})_3 \) and its characteristics of hydrate isomerism.

### Answer
**Incorrect Match:** Option 2: \( \text{CoBr}_3(\text{H}_2\text{O})_3 \) - Hydrate isomerism is not shown.

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