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Question

In face-centred cubic unit cell:

A
face diagonal of the cube is a2 or 4r
(a= edge length, r= radius of constituent units)
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B
effective number of atoms in the unit cell is 4
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C
8 tetrahedral voids per unit cell
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D
rank of the unit cell is 3
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Solution

The correct options are
A face diagonal of the cube is a2 or 4r
(a= edge length, r= radius of constituent units)
B effective number of atoms in the unit cell is 4
C 8 tetrahedral voids per unit cell
(A) In FCC unit cell
4r=a2 (face diagonal)

(B) Zeff=6×12(Facecenters)+8×18(Bodycorners)=4

(C)8 tetrahedral voids are present at a distance a34 from each body corners.

(D) Rank of the unit cell= Zeffective=4

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