Xenon crystallizes in fcc lattice and the edge length of unit cell is $620 \mathrm{pm}$. What is the radius…

Xenon crystallizes in fcc lattice and the edge length of unit cell is $620 \mathrm{pm}$. What is the radius of Xe atom?
  1. 219.2pm
  2. 438.5pm
  3. 265.5pm
  4. 536.9pm

Solution

$a=620 \mathrm{pm}$ For fcc unit cell, $r=\frac{a}{2 \sqrt{2}}$ $\therefore r=\frac{620}{2 \times 1.414}=219.2 \mathrm{pm}$

Asked in: MHT CET 2020 (16 Oct Shift 1)

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