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Question

Question: Metallic gold crystallises in face centered cubic. Lattice with edge-length 4.070 Å. Closest distanc...

Metallic gold crystallises in face centered cubic. Lattice with edge-length 4.070 Å. Closest distance between gold atoms is :

A

2.035 Å

B

8.140 Å

C

2.878 Å

D

1.357 Å

Answer

2.878 Å

Explanation

Solution

Closest distance is = a24\frac{a\sqrt{2}}{4}=4.070×22\frac{4.070 \times \sqrt{2}}{2} Å = 2.878 Å