Solid State Question 44

Question: $ MgO $ crystallizes in a cubic type crystal system. The ionic radii for $ M{{g}^{2+}} $ and $ {{O}^{2-}} $ are 0.066 and 0.140 nm respectively. One can conclude that the $ M{{g}^{2+}} $ ions occupy

Options:

A) a cubic hole in a simple cubic structure.

B) every tetrahedral hole in a close packed structure.

C) an octahedral hole in a cubic close packed structure.

D) every other tetrahedral hole in a close packed structure.

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ \frac{r _{c}}{r _{a}}=\frac{0.066}{0.140}=0.47 $ So, cation $ (M{{g}^{2+}}) $ fitted in octahedral holes of $ {{O}^{2-}} $ are present at fee lattice point.



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