Solid StateHard

Question

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

Options

A.5
B.6
C.7
D.8

Solution

Distance between two layer (A and B)  = (r)
= (2r)

Let K is the number of imaginary planes.
Hence.
K × (2r = 13 )(r) ⇒ K =  = 6.5 = 7
Thus, maximum number of layers = 7 (sec figure below).

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