For the spinel structure `(MgAl_(2)O_(4))`, the correct statement is//are

Options

A. 1.`50% OV_(s)` are occupied by ions.
B. 2.`Al^(3+)` is equally distributed in `TVs` and `OVs`.
C. 3.Oxide ions occupy ccp lattice.
D. 4.`12.5% TVs` are occupied by ions.

Explanation

To solve the question regarding the spinel structure of \( \text{MgAl}_2\text{O}_4 \), we will analyze each statement provided in the question step by step.

### Step 1: Understanding the Spinel Structure
The spinel structure can be represented as \( \text{AB}_2\text{O}_4 \), where:
- \( \text{A} \) is a divalent cation (in this case, \( \text{Mg}^{2+} \))
- \( \text{B} \) is a trivalent cation (in this case, \( \text{Al}^{3+} \))
- \( \text{O} \) represents oxide ions.

In the spinel structure:
- The oxide ions occupy a face-centered cubic (FCC) lattice.
- The \( \text{A}^{2+} \) ions occupy \( \frac{1}{8} \) of the tetrahedral voids.
- The \( \text{B}^{3+} \) ions occupy \( \frac{1}{2} \) of the octahedral voids.

### Step 2: Analyzing Each Statement
1. **Statement 1**: "50% of octahedral voids are occupied."
- In the spinel structure, \( \text{B}^{3+} \) ions occupy half of the octahedral voids. Therefore, this statement is **correct**.

2. **Statement 2**: "2Al\(^{3+}\) is equally distributed in tetrahedral voids and octahedral voids."
- The \( \text{Al}^{3+} \) ions do not distribute equally; they occupy only the octahedral voids. Hence, this statement is **incorrect**.

3. **Statement 3**: "Oxide ions occupy CCP lattice."
- The oxide ions do indeed occupy a face-centered cubic (CCP) lattice. Thus, this statement is **correct**.

4. **Statement 4**: "12.5% of tetrahedral voids are occupied by ions."
- The tetrahedral voids in the spinel structure are \( 8 \) in total, and \( \text{Mg}^{2+} \) occupies \( \frac{1}{8} \) of these, which corresponds to \( 12.5\% \). Therefore, this statement is **correct**.

### Conclusion
From the analysis:
- **Correct Statements**: 1, 3, and 4.
- **Incorrect Statement**: 2.

### Final Answer
The correct statements regarding the spinel structure \( \text{MgAl}_2\text{O}_4 \) are:
- Statement 1: 50% of octahedral voids are occupied.
- Statement 3: Oxide ions occupy CCP lattice.
- Statement 4: 12.5% of tetrahedral voids are occupied by ions.