Solid StatehardNUMERICAL

In a Zinc Blende () unit cell, if the lattice is established by ions in a cubic close-packed (ccp) aSolid State Chemistry Question

Question

In a Zinc Blende ($ZnS$) unit cell, if the lattice is established by $S^{2-}$ ions in a cubic close-packed (ccp) arrangement, what is the exact total effective number of $Zn^{2+}$ ions present inside one complete unit cell?

Answer: 4

💡 Solution & Explanation

In the Zinc Blende structure, the $S^{2-}$ ions form the ccp/fcc lattice, contributing 4 ions per unit cell. The $Zn^{2+}$ ions occupy half of the 8 available tetrahedral voids. Therefore, the total number of $Zn^{2+}$ ions per unit cell is $\frac{1}{2} \times 8 = 4$.

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