Question

The location of Cs$^+$ and Cl$^-$ ions inside the unit cell of CsCl crystal is shown in the figure. The Bravais lattice of CsCl is 

• A. simple cubic
• B. body centered orthorhombic
• C. face centered cubic
• D. base centered orthorhombic

Hint:

In crystal structures, identifying the positions of ions in the unit cell helps in determining the Bravais lattice type.

Answer 1

The Correct Option is A

Step 1: Understanding the crystal structure.
The diagram shows the unit cell of CsCl, which consists of Cs$^+$ and Cl$^-$ ions arranged in a specific pattern. The body-centered orthorhombic lattice indicates that Cs$^+$ ions are located at the center of the unit cell, while the Cl$^-$ ions are at the corners. This is characteristic of the body-centered orthorhombic structure.

Step 2: Analyzing the options.
(A) simple cubic: In a simple cubic structure, atoms or ions are located only at the corners of the unit cell. This does not match the given structure.
(B) body centered orthorhombic: Correct. The Cs$^+$ ions are at the center and the Cl$^-$ ions are at the corners, which is characteristic of a body-centered orthorhombic lattice.
(C) face centered cubic: In this structure, atoms or ions are located at the centers of faces, not the corners and the center. Hence, it is not the correct option.
(D) base centered orthorhombic: This type has atoms at the base centers and corners but does not match the description of the CsCl lattice.

Step 3: Conclusion.
The correct answer is (B) body centered orthorhombic. The arrangement of Cs$^+$ and Cl$^-$ ions fits this lattice type.