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COMEDK · Chemistry · 16. Solid State

How much part of any corner atom actually belongs to a particular unit cell?

  1. A \(\dfrac{1}{4}\) th
  2. B \(\dfrac{1}{6}\) th
  3. C \(\dfrac{1}{8}\) th
  4. D \(\dfrac{1}{10} \mathrm{th}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\dfrac{1}{8}\) th

Step-by-step Solution

Detailed explanation

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…