Solid State Question 42

Question: Predict coordination number of the cation in crystals of the following compounds:
  1. $ MgO:r _{c}=0.65\overset{o}{\mathop{A}};r _{a}=1.40\overset{o}{\mathop{A}}, $
  2. $ MgS:r _{c}=0.65\overset{o}{\mathop{A}};r _{a}=1.84\overset{o}{\mathop{A}}, $

Options:

A) 6, 4

B) 4, 6

C) 3, 4

D) 6, 8

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For $ MgO,=\frac{r _{c}}{r _{d}}=\frac{0.65}{1.4}=0.47 $

$ M{{g}^{2+}} $ is in octahedral void so C.N. = 6 For $ MgS,\frac{r _{c}}{r _{a}}=\frac{0.65}{1.84}=0.353 $

$ M{{g}^{2+}} $ is in tetrahedral void so C.N. = 4