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Question: Copper has face centered cubic (fcc) lattice with interatomic spacing equal to 2.54Å. The value of t...

Copper has face centered cubic (fcc) lattice with interatomic spacing equal to 2.54Å. The value of the lattice constant for this lattice is.

A

1.27 Å

B

5.08 Å

C

2.54 Å

D

3.59 Å

Answer

3.59 Å

Explanation

Solution

2a=4r\sqrt{2}a = 4ra=4r2=2(2r)=2×2.54=3.59A˚a = \frac{4r}{\sqrt{2}} = \sqrt{2}(2r) = \sqrt{2} \times 2.54 = 3.59Å