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  Types of Cubic System

Types of Cubic System:

                                                     Figure: Assignment of Atoms per unit cell in a cubic lattice

33_cubic system.jpg



Simple Cubic:

In simple cubic, atoms are existed at the corners only; each atom at the corner is shared equally by eight other unit cells.

148_simple cubic.jpg

Therefore the contribution of each atom to the unit cell is 1/8.
 
The total number of atoms per unit cell

 = Nc/8 = 8 x (1/8) = 1

Here,
Nc is the number of atoms at the corners.

Fcc:

The face atom is shared equally among two unit cells and hence a face atom contributes only (Nf/2) to the unit cell.

2320_fcc.jpg

The number of atoms per unit cell in fcc = (Nc/8) + (Nf/2) = (8/8) + (6/2) = 4

Here,
Nf = Number of atoms at the faces.

BCC:

In a bcc lattice, the body centered atom belongs completely to the unit cell. The total number of atoms per unit cell in bcc
 
= (Nc/8) + (Nb/1)
= (8/8) + (1/1) = 2

Here,
Nb = Number of atoms within the body

1308_bcc.jpg

 

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