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

Options

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

Answer

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

### Step 1: Understand the Concept of Space Lattices
A space lattice is a three-dimensional arrangement of points that represent the positions of atoms, ions, or molecules in a crystal. In a cubic system, the lattice points are arranged in a cubic geometry.

**Hint:** Recall that a cubic system has equal edge lengths and all angles are 90 degrees.

### Step 2: Identify the Types of Cubic Systems
In crystallography, there are three main types of cubic lattices:
1. Simple Cubic (SC)
2. Body-Centered Cubic (BCC)
3. Face-Centered Cubic (FCC)

**Hint:** Think about how atoms are positioned in relation to the unit cell for each type of cubic lattice.

### Step 3: Count the Types of Cubic Space Lattices
Each of the three types of cubic lattices mentioned above represents a distinct arrangement of atoms:
- Simple Cubic: Atoms are located only at the corners of the cube.
- Body-Centered Cubic: Atoms are at the corners and one atom is at the center of the cube.
- Face-Centered Cubic: Atoms are at the corners and the centers of each face of the cube.

**Hint:** Visualize or sketch the arrangement of atoms in each type of cubic lattice to better understand their differences.

### Step 4: Conclusion
Thus, in a cubic system, there are a total of **three types of space lattices**.

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