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Question

Number of Al atoms per unit cell of Al in its crystal lattice is:

A
4
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B
8
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C
2
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D
6
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Solution

The correct option is A 4

Many other metals, such as aluminum, copper, and lead, crystallize in an arrangement that has a cubic unit cell with atoms at all of the corners and at the centers of each face, as illustrated in Figure .

This arrangement is called a face-centered cubic (FCC) solid. A FCC unit cell contains four atoms: one-eighth of an atom at each of the eight corners (8×18=1 atom from the corners) and one-half of an atom on each of the six faces (6×12=3 atoms from the faces).

The atoms at the corners touch the atoms in the centers of the adjacent faces along the face diagonals of the cube. Because the atoms are on identical lattice points, they have identical environments.

Hence, the correct option is A

1440399_213035_ans_5b778c641bbc43e1914a98d36dea2664.jpg

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