Q20 / 180 · COMEDK 2021 · Chemistry
How much part of any corner atom actually belongs to a particular unit cell?
- A$\dfrac{1}{4}$ th
- B$\dfrac{1}{6}$ th
- Correct answerC$\dfrac{1}{8}$ th
- D$\dfrac{1}{10} \mathrm{th}$
Solution
In a simple cubic unit cell, each corner atom is shared by 8 adjacent unit cells.
The contribution of an atom located at the corner of a unit cell is calculated by considering the number of unit cells that share this corner.
Since 8 unit cells meet at each corner, the portion of the atom that belongs to any single unit cell is $\dfrac{1}{8}$.
Answer: $\dfrac{1}{8}$ th
The contribution of an atom located at the corner of a unit cell is calculated by considering the number of unit cells that share this corner.
Since 8 unit cells meet at each corner, the portion of the atom that belongs to any single unit cell is $\dfrac{1}{8}$.
Answer: $\dfrac{1}{8}$ th
Hence, the correct answer is option: 'C'.