In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘ ’ of the cube will be twice the radius of the sphere, . Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
or
The fraction of the total volume occupied by the sphere is
In a simple cubic cell, an atom at the corner contributes to the unit cell |
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a) |
part |
b) |
part |
c) |
1 part |
d) |
part |
In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘ ’ of the cube will be twice the radius of the sphere, . Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
or
The fraction of the total volume occupied by the sphere is
In a simple cubic cell, an atom at the corner contributes to the unit cell |
|||||||
a) |
part |
b) |
part |
c) |
1 part |
d) |
part |
(d) An atom on the corner contributes to the unit cell part |