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COMEDK2021ChemistrySolid State

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

Options

  1. A1 4 th
  2. B1 6 th
  3. C1 8 th
  4. D1 10 th

Correct answer

C. 1 8 th

Step-by-step 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 1 8 . Answer: 1 8 th

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