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Question: Copper crystallises in a structure of face centerd cubic unit cell. The atomic radius of copper is 1...

Copper crystallises in a structure of face centerd cubic unit cell. The atomic radius of copper is 1.28 Å. What is axial length on an edge of copper.

A

2.16 Å

B

3.62 Å

C

3.94 Å

D

4.15 Å

Answer

3.62 Å

Explanation

Solution

4r =a2a\sqrt{2}

a=4r2=4×1.282a = \frac{4r}{\sqrt{2}} = \frac{4 \times 1.28}{\sqrt{2}}Å = 3.62 Å