Question

An element crystallising in HCP unit cell has the height of unit cell = $100\sqrt{6}pm$. The edge length of unit cell in pm is

• A. 210
• B. 200
• C. 175
• D. 150

Answer 1

The correct option is D 150

In a hexagonal unit cell :


$h\text{is the height of the hcp unit cell}a\text{is the edge length of the unit cell}$
Since, :
$h=2\times \sqrt{\frac{2}{3}}\times a100\sqrt{6}=2\times \sqrt{\frac{2}{3}}\times aa=150pm$