Calculate the radius of metal atom in bcc unit cell having edge length $287 \mathrm{pm}$.

Calculate the radius of metal atom in bcc unit cell having edge length $287 \mathrm{pm}$.
  1. $124.27 \mathrm{pm}$
  2. $143.51 \mathrm{pm}$
  3. $101.45 \mathrm{pm}$
  4. $57.4 \mathrm{pm}$

Solution

For bcc unit cell, $4 \mathrm{r}=\sqrt{3} \mathrm{a}$ $\therefore \quad \mathrm{r}=\frac{\sqrt{3}}{4} \mathrm{a}=\frac{1.732 \times 287}{4}=124.27 \mathrm{pm}$

Asked in: MHT CET 2023 (13 May Shift 1)

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