Q.

The following diagram shows the arrangement of lattice points with a = b = c and α=β=γ=90°. Choose the correct options.

Moderate

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a

The arrangement is sc with each lattice point surrounded by 6 nearest neighbours.

b

The arrangement is sc with each lattice point surrounded by 8 nearest neighbours.

c

The arrangement is fcc with each lattice point surrounded by 12 nearest neighbours.

d

The arrangement is bcc with each lattice point surrounded by 8 nearest neighbours.

answer is 1.

(Detailed Solution Below)

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Detailed Solution

It is clear from the figure that the arrangement is sc, with coordination number (CN) of each point : 6. (The arrangement shown in figure consists of 4 unit cells. Taking a view of one unit cell, the atoms are not present at the face centres of each unit cell, hence it cannot be fcc, since in fcc lattice points are occupied at corners and face centres of each unit cell)
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