Copper belongs to a crystal system represented by the crystal dimensions as

Options

A. `alpha = beta = gamma = 90^(@), a = b = c`
B. `alpha ne beta ne gamma, a = b = c`
C. `alpha = beta = 90^(@), gamma ne 90^(@), a = b = c`
D. `alpha = beta = gamma = 90^(@), a ne b ne c`

Answer

To determine the crystal system to which copper belongs based on the given crystal dimensions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Crystal Systems**:
There are seven crystal systems:
- Cubic
- Tetragonal
- Orthorhombic
- Hexagonal
- Rhombohedral
- Monoclinic
- Triclinic

2. **Understand the Parameters**:
- In a cubic crystal system, the following conditions hold:
- All edge lengths are equal (A = B = C).
- All angles between the edges are 90 degrees (α = β = γ = 90°).

3. **Analyze the Options**:
- **Option 1**: α = β = γ = 90° and A = B = C (Cubic)
- **Option 2**: α ≠ β ≠ γ and A = B = C (Tetragonal)
- **Option 3**: α = β = 90° and γ ≠ 90° and A = B = C (Orthorhombic)
- **Option 4**: α = β = γ = 90° and A ≠ B ≠ C (Monoclinic)

4. **Determine the Correct Option**:
Since copper has a cubic unit cell structure, it satisfies the conditions of Option 1, where all edges are equal and all angles are 90 degrees.

5. **Conclusion**:
Therefore, the correct answer is **Option 1**: α = β = γ = 90° and A = B = C.