Atomic packing factor of body centered cubic structure - Material Science

Q.  Body centered cubic structure has an atomic packing factor equal to
- Published on 05 Aug 15

a. 0.74
b. 0.68
c. 0.52
d. None of the above

ANSWER: 0.68
 

    Discussion

  • Sravanthi   -Posted on 06 Oct 15
    Atomic packing factor is defined as the ratio of actual volume of atoms per unit cell to volume of unit cell.

    Body centered cubic structure has two atoms per unit cell,
    Therefore,

    Volume of two atoms = 2 x (4/3 π r3), r = a√3/4
    = (π a3 √3) / 8

    Volume of unit cell = a3
    Atomic packing factor = [(π a3 √3) / 8] / a3
    = (π √3) 8
    = 0.68

    Hence, atomic packing factor is 0.68 for body centered cubic structure.

    Different cubic structures have different atomic packing factors.

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