Which of the following reactions is not used in preparation of deuterium compounds using heavy water?

Options

A. `CaC_(2) + 2D_(2)O to C_(2)D_(2) + Ca(OD)_(2)`
B. `SO_(3) + D_(2)O to D_(2)SO_(4)`
C. `2AIN + 3D_(2)O to AI_(2)O_(3) + 2ND`
D. `AI_(4)C_(3) + 12D_(2)O to 3CD_(4) + 4AI(OD)_(3)`

Explanation

To determine which reaction is not used in the preparation of deuterium compounds using heavy water, we will analyze each of the given reactions step by step.

### Step-by-Step Solution:

1. **Reaction of Calcium Carbide with Heavy Water:**
- Calcium carbide (CaC2) reacts with heavy water (D2O) to produce deuterium peroxide (D2O2) and acetylene (C2D2).
- The reaction can be written as:
\[ \text{CaC}_2 + \text{D}_2\text{O} \rightarrow \text{D}_2\text{O}_2 + \text{C}_2\text{D}_2 + \text{Ca(OH)}_2 \]
- This reaction is valid and used for the preparation of deuterium compounds.

2. **Reaction of Sulfur Trioxide with Heavy Water:**
- Sulfur trioxide (SO3) reacts with heavy water (D2O) to produce deuterated sulfuric acid (D2SO4).
- The reaction can be written as:
\[ \text{SO}_3 + \text{D}_2\text{O} \rightarrow \text{D}_2\text{SO}_4 \]
- This reaction is also valid and used for the preparation of deuterium compounds.

3. **Reaction of Aluminum Nitride with Heavy Water:**
- Aluminum nitride (AlN) reacts with heavy water (D2O) to produce aluminum deuteroxide (AlOD3) and ammonia (ND3).
- The reaction can be written as:
\[ \text{AlN} + \text{D}_2\text{O} \rightarrow \text{Al(OD)}_3 + \text{ND}_3 \]
- This reaction is valid and used for the preparation of deuterium compounds.

4. **Reaction of Aluminum Carbide with Heavy Water:**
- Aluminum carbide (Al4C3) reacts with heavy water (D2O) to produce aluminum deuteroxide (AlOD3) and methane (CD4).
- The reaction can be written as:
\[ \text{Al}_4\text{C}_3 + \text{D}_2\text{O} \rightarrow \text{Al(OD)}_3 + \text{CD}_4 \]
- This reaction is valid and used for the preparation of deuterium compounds.

### Conclusion:
After analyzing all the reactions, we find that the reaction involving aluminum nitride (AlN) is incorrectly stated in the problem as it produces aluminum deuteroxide (AlOD3) and ammonia (ND3), not aluminum oxide (Al2O3). Therefore, the reaction that is **not** used in the preparation of deuterium compounds using heavy water is the one involving aluminum nitride.

### Final Answer:
**The reaction involving aluminum nitride (AlN) is not used in the preparation of deuterium compounds using heavy water.**