Solid State Question 76

Question: In normal spinel structures $ MgAl_2O_4, $ the percentage of tetrahedral void occupied is

Options:

A) 12.5%

B) 25%

C) 50%

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Oxygen forms fcc structure in which $ M{{g}^{2+}} $ occupies tetrahedral voids and $ A{{l}^{3+}} $ ions occupies octahedral void per unit cell. Total number of tetrahedral voids $ =2\times 4=8 $
$ \therefore $ % tetrahedral void occupied $ =\frac{1}{8}\times 100 $

$ =12.5% $