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In the ccp packing, the number of lattice points per unit area in the planes is in the order​
Question

In the ccp packing, the number of lattice points per unit area in the planes is in the order


A.

B.

C.

D.

Correct option is C

​In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube. This is one of the most common and simplest shapes found in crystals and minerals.

There are three main varieties of these crystals:
Primitive cubic (alternatively called simple cubic)
Body-centered cubic 
Face-centered cubic 

Note: the term fcc is often used in synonym for the cubic close-packed or ccp structure occurring in metals. 

The face-centered cubic lattice has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of four lattice points per unit cell (1⁄8 × 8 from the corners plus 1⁄2 × 6 from the faces).

Case 1:

Five lattice points are present and the area is a2. The area occupied by one lattice point is 

=0.20a2

Case 2:

Six lattice points are present and the area is 

The area occupied by one lattice point is 

Case 3:

Six lattice points are present and the area is 

The area occupied by one lattice point is


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