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Show that the atomic packing factor for the Bcc crystal structure is 0.68?
Wiki User
∙ 11y ago
In body-centred cubic structure,
The no. of atoms per unit cell
= 2
Volume of 2 atoms (spherical)
=2
*
(4/3)
Ï€r
3
We know the radius of atom in BCC is
r = a√
3
4
Volume occupied by the atoms per unit cell
(v) = 8Ï€
a
√
33 4
v =
= 8Ï€
a
3
3
√
3------- ---------3 4
*
4
*
4
Volume occupied by the atoms per unit cell
(v) =
Ï€a
3
√3----8
Volume of the unit cell for a cubic system
(V) = a
3
Atomic packing factor (APF) =
(
Ï€a
3
√
3
/
8
)
--------------a
3
√
3(or) APF =
Ï€
---------
8
APF = 0.68
Therefore, we can say that 68% volume of the unit cell of BCC is occupied by atoms and remaining 32%volume is vacant.
Thus the packing density is 68%.
Wiki User
∙ 11y ago
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Atomic packing factor for Bcc?
atomic packing factor (APF) or packing fraction is the fraction of volume in a crystal structure that is occupied by atoms. It is dimensionless and always less than unity. For practical purposes, the APF of a crystal structure is determined by assuming that atoms are rigid spheres. For one-component crystals (those that contain only one type of atom), the APF is represented mathematically by where Natoms is the number of atoms in the crystal, Vatom is the volume of an atom, and Vcrystalis the volume occupied by the crystal. It can be proven mathematically that for one-component structures, the most dense arrangement of atoms has an APF of about 0.74. In reality, this number can be higher due to specific intermolecular factors. For multiple-component structures, the APF can exceed 0.74.
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Atomic packing factor for Bcc?
atomic packing factor (APF) or packing fraction is the fraction of volume in a crystal structure that is occupied by atoms. It is dimensionless and always less than unity. For practical purposes, the APF of a crystal structure is determined by assuming that atoms are rigid spheres. For one-component crystals (those that contain only one type of atom), the APF is represented mathematically by where Natoms is the number of atoms in the crystal, Vatom is the volume of an atom, and Vcrystalis the volume occupied by the crystal. It can be proven mathematically that for one-component structures, the most dense arrangement of atoms has an APF of about 0.74. In reality, this number can be higher due to specific intermolecular factors. For multiple-component structures, the APF can exceed 0.74.
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What is the atomic paking factor?
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