First slide

Crystal lattices and unit cells

Question

Given : Radius of A²⁺ = 100 pm; Radius of C⁺ = 240 pm; Radius of B^2- = 300 pm; Radius of D^- = 480 pm. Which is / are correct statement?

Moderate

A

$Coordination number of A^{2 +} in comp AB is 4$
B

$Coordination number of A^{2 +} in comp A B is 6 .$
C

$Coordination number of C^{+} in comp C D is 6$
D

$Coordination number of C^{+} in comp C D is 8 .$

Solution

$\frac{r_{A^{2 +}}}{r_{B^{2 -}}} = \frac{100}{300} = 0 .333 \frac{r_{C^{+}}}{r_{D^{-}}} = \frac{240}{480} = 0 .5$
$B^{2 -} are at F.C.C. D^{-} at F.C.C. lattice point$
lattice point and A²⁺ ion are C⁺ in all octahedral voids alternate tetrahedral void
C.No. of AB = 4 : 4 C.No. of CD = 6 :6

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