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Question

An element has a bcc structure having unit cells 12.08×1023. Find the total number of atoms in these unit cells.

A
36.24×1023
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B
12.08×1023
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C
6.02×1023
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D
24.16×1023
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Solution

The correct option is D 24.16×1023
Each bcc unit cell has a total of 2 atoms - one from the eight corner atoms contribting 1/8 each and one from the atom sitting at the cube centre.

No. of atoms at corners =18×8=1No. of atoms at centre =11×1=1No. of atoms per unit cell =1+1=2

Total number of atoms =2×Total number of unit cells=2×12.08×1023=24.16×1023

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