In case of a cubic system, the number of types of space lattices are

Options

A. 3
B. 7
C. 14
D. 12

Answer

To determine the number of types of space lattices in a cubic system, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Space Lattices**:
A space lattice is a three-dimensional arrangement of points (atoms, ions, or molecules) that repeats periodically in space. In crystallography, space lattices represent the arrangement of atoms in a crystal.

2. **Identify the Types of Lattices**:
In crystallography, there are 14 distinct types of Bravais lattices, which can be categorized based on their symmetry and geometry. Among these, cubic systems are one of the categories.

3. **List the Types of Cubic Lattices**:
In the cubic system, there are three main types of lattices:
- Simple cubic (SC)
- Body-centered cubic (BCC)
- Face-centered cubic (FCC)

4. **Count the Total Types of Space Lattices**:
While the cubic system itself has three types of lattices, the total number of Bravais lattices across all crystal systems is 14. However, the question specifically asks for the types of space lattices in the cubic system.

5. **Conclusion**:
Therefore, the number of types of space lattices in a cubic system is **3** (Simple cubic, Body-centered cubic, and Face-centered cubic).

### Final Answer:
The number of types of space lattices in a cubic system is **3**.

---