Book Store

Download books and chapters from book store.
Currently only available for.
CBSE

Previous Year Papers

Download the PDF Question Papers Free for off line practice and view the Solutions online.
Currently only available for.
Class 10 Class 12
Advertisement

The Solid State

Quickly browse through questions and notes on related topics. You can also download and read this topic offline.


Advertisement

Number of Atoms in a Unit Cell

Body-Centred Unit Cells: A unit cell contains one constituent particle (atom, molecule or ion) at its body-centre and eight particles are at its corners.
Number of atoms present in the unit cell =open parentheses 8 space straight x 1 over 8 close parentheses space plus space 1 space equals space 2
Thus, Number of lattice points: 9, coordinate number:er : 8 and  number of atom per unit cell (Z): 2

Body Centred Cubic Unit Cell

Body-Centred Unit Cells: A unit cell contains one constituent particle (atom, molecule or ion) at its body-centre and eight particles are at its corners.
Number of atoms present in the unit cell =open parentheses 8 space straight x 1 over 8 close parentheses space plus space 1 space equals space 2
Thus, Number of lattice points: 9, coordinate number:er : 8 and  number of atom per unit cell (Z): 2

End Centred Cubic Unit Cell

End-Centred Unit Cells:Unit cell contains one constituent particle present at the centre of any two opposite faces along with eight particles at its corners.

Number of atoms present in this unit cell = open parentheses 8 space straight x space 1 over 8 close parentheses space plus space open parentheses 2 space straight x space 1 half close parentheses space equals space 1 space plus space 1 space equals space 2
Thus, Number of lattice points:10

Face Centred Cubic Unit Cell

Face-Centred Unit Cells: A unit cell contains one constituent particle present at the centre of each face, along with eight particles at its corners.

Number of atoms present in this unit cell = open parentheses 8 space straight x space 1 over 8 close parentheses space plus space open parentheses 6 space straight x 1 half close parentheses space equals space 1 space plus space 3 space equals space 4
Thus, number of lattice points: 14, coordination number: 12 and  number of atom per unit cell (Z): 4

Primitive Cubic Unit Cell

Primitive Unit Cells: When constituent particles are present only on the corner position of a unit cell.

No of atoms present in this unit cell = 8 space straight x 1 over 8 space equals space 1 (Each Corner atom contributes1/8th portion to the unit cell Thus,
Number of lattice points: 8, Coordination Number: 6 and number of atom per unit cell (Z): 1

Centred unit cells: Constituent particles present at a position other than corners in addition to those at corners, it is called a centred unit cell.

Centred unit cells are of three types:

  1. Body-Centred Unit Cells
  2. Face-Centred Unit Cells
  3. End-Centred Unit Cells

Advertisement