CsCl crystallises in body centred cubic lattice. If 'a' is its edge...

\text{CsCl}

crystallises in body centred cubic lattice. If 'a' is its edge length then which of the following expressions is correct? CsCl crystallises in body centred cubic lattice. If 'a' is its edge length then which of the following expressions is

CsCl crystallises in body centred cubic lattice. If 'a' is its edge length then which of the following expressions is

Options

A $\text{r} {Cs}^{+} + \text{r} {Cl}^{-} = 3 \text{a}$
B $\text{r} {Cs}^{+} + \text{r} {Cl}^{-} = \dfrac{3 \text{a}}{2}$
C $\text{r} {Cs}^{+} + \text{r} {Cl}^{-} = \dfrac{\sqrt{3}}{2} a$
D $\text{r} {Cs}^{+} + \text{r} {Cl}^{-} = \sqrt{3} \text{a}$

Correct answer

C. $\text{r} {Cs}^{+} + \text{r} {Cl}^{-} = \dfrac{\sqrt{3}}{2} a$

Step-by-step solution

\text{8}

chloride ions at

\text{8}

corners

{\text{Cs}^{+}

cation at body centre along body diagonal there will be one

{\text{Cs}^{+}

cation and

\text{2}{\text{Cl}^{−}

ions at ends of body diagonal.

2 \text{r} {Cs}^{+} + 2 \text{r} {Cl}^{-} = \sqrt{3} a

\text{a}

is edge length

&

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