Exam

NTA Abhyas

Year

2020

Subject

Chemistry

Chapter

Solid State

NTA Abhyas 2020 · Chemistry · Solid State

CsBr has bcc structure with edge length 4.3 Å . The shortest inter...

CsBr has bcc structure with edge length 4.3 $\text{Å}$. The shortest inter ionic distance in between ${Cs}^{+}$ and $\text{B}r^{−}$ is –

Step-by-step solution

In BCC structure the cations and anions touch along the body diagonal

$2 \left(\text{r} {cs}^{+} + \text{r} {Br}^{-}\right) = \sqrt{3} \times 4 \cdot 3$ (Body Diagonal $= \sqrt{3} \text{a}$)

$\text{r} {cs}^{+} + \text{r} {Br}^{-} = \dfrac{1 \cdot 7 3 2 \times 4 \cdot 3}{2} = 3 \cdot 7 2 Å$


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