Question

Statement: Platinum crystallizes in fcc crystal with a unit cell length $a$. The atomic radius of platinum is $\frac{a\sqrt{2}}{2}$.

State whether the given statement is true or false

• A. True
• B. False

Answer 1

The correct option is B False

In FCC, all atoms along with the face diagonal touch each other and the length of a face diagonal are $\sqrt{2}a$.

So, $4r=\sqrt{2}a$ $⟹r=\frac{\sqrt{2}a}{4}=\frac{a}{2\sqrt{2}}$

Hence, the given statement is $\text{false}$