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Q.

In a face centred cubic cell, the contribution of an atom at a face of the unit cell is:

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a

½

b

1/8

c

1

d

¼

answer is A.

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Detailed Solution

An FCC unit cell contains four atoms: 

Eight atoms present at each corner of cube, one-eighth of an atom at each of the eight corners

18×8=1

There are six faces and each faces corresponds to an atom, the contribution of each atom at each face is 12.

6×12=3

atoms present at each corner of cube, one-eighth of an atom at each of the eight corners

Total atoms in FCC=1+3=4.

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