Question

Which of the following statements is NOT correct regarding voids in lattice structure?

• A. Four spheres are involved in the formation of a tetrahedral void.
• B. The octahedral void is surrounded by six spheres.
• C. There are two tetrahedral voids associated with each atom.
• D. There is one octahedral void associated with two atoms.

Hint:

Remember the ratio: Atoms ($N$) : Octahedral ($N$) : Tetrahedral ($2N$).

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Voids are the empty spaces in a crystal lattice. Their properties are defined by the coordination number and ratio to total atoms.
Step 2: Key Formula or Approach:
For $\text{N}$ atoms:
Tetrahedral voids $= 2\text{N}$.
Octahedral voids $= \text{N}$.
Step 3: Detailed Explanation:
- (A) Correct. A tetrahedral void is formed by 4 spheres.
- (B) Correct. An octahedral void is formed by 6 spheres.
- (C) Correct. Ratio is $2\text{N} : \text{N} = 2$.
- (D) Incorrect. Ratio of octahedral voids to atoms is $1 : 1$. There is exactly one octahedral void for one atom, not two.
Step 4: Final Answer:
Statement (D) is NOT correct.