Calculate the packing efficiency in a Body Centered Cubic (BCC) lattice?plz ans my questions.no spam ans plz....
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Answer:
For Body Centered Cubic (BCC) lattice, the relationship between the edge length a and the radius r of the unit cell is a=
3
4r
The volume of the unit cell is a
3
=(
3
4r
)
3
=
3
3
64r
3
The volume occupied by 1 atom is
3
4
πr
3
A BCC unit cell has 2 atoms per unit cell.
The volume occupied by 2 atoms is
2×
3
4
πr
3
=
3
8
πr
3
The packing efficiency =
total volume of unit cell
Volume occupied by atoms in a unit cell
×100
The packing efficiency =
3
3
64r
3
3
8
πr
3
×100=68.04 %
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