The contribution of particle at the edge centre to a particu... | Chemistry | SolveeIt

Question

The contribution of particle at the edge centre to a particular unit cell is.

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

Answer

$\frac{1}{4}$

Explanation

Solution

An atom at the edge centre is shared by four unit cells in the lattice and hence, contributes only $\frac{1}{4}$ th to a particular unit cell Also, there are 12 edge centres in a unit cell. Thus, total number of atoms at the edge centres per unit cell. $-12 \times \frac{1}{4}-3$

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