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What is the maximum number of layers of ...

What is the maximum number of layers of atom in close-packed planes that will lie within two imaginary parallel planes having a distance between them of `13sqrt((2)/(3))r` (where `r` is the radius of atom) in the copper crystal (fcc)?
(Consider the atoms to be within the parallel planes if their centres are on or within the two parallel planes).

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

Distance between two layers `= (sqrt(2))/(sqrt(3))` (2R) ( See illustration 10)
Hence `k (sqrt(2))/(sqrt(3)) (2R) = 13 (sqrt(2))/(sqrt(3)) R implies K = (13)/(2)`
For maximum no. of layers, the answer is 7.
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