Different Types of Symmetry in Cubic Lattices

**Category : **JEE Main & Advanced

(1) **Centre of symmetry :** An imaginary point within the crystal such that any line drawn through it intersects the surface of the crystal at equal distances in both directions.

(2) **Plane of symmetry :** It is an imaginary plane which passes through the centre of a crystal and divides it into two equal portions such that one part is exactly the mirror image of the other.

A cubical crystal possesses six diagonal plane of symmetry and three rectangular plane of symmetry.

(3) **Axis of symmetry :** It is an imaginary straight line about which, if the crystal is rotated, it will present the same appearance more than once during the complete revolution. In general, if the same appearance of a crystal is repeated on rotating through an angle \[\frac{{{360}^{o}}}{n}\], around an imaginary axis, the axis is called an n-fold axis.

**A cubical crystal possesses in all 13 axis of symmetry**

Axis of four-fold symmetry = 3 (Because of six faces) | Axis of three-fold symmetry = 4 (Because of eight corners) | Axis of two-fold symmetry = 6 (Because of twelve edges) |

(4) **Elements of symmetry :** The total number of planes, axes and centre of symmetry possessed by a crystal are termed as elements of symmetry. A cubic crystal possesses a total of 23 elements of symmetry.

Planes of symmetry\[=(3+6)=9\],

Axes of symmetry\[=(3+4+6)=13\],

Centre of symmetry = 1.

Total number of symmetry elements = 23

*play_arrow*Semiconductor electronics*play_arrow*Solids*play_arrow*Terms Related with Crystal Structure*play_arrow*Different Types of Symmetry in Cubic Lattices*play_arrow*Hexagonal Close Packed (HCP) Structure*play_arrow*Bonding Forces in Crystals*play_arrow*Single, Poly and Liquid Crystals*play_arrow*Energy Bands*play_arrow*Holes in Semiconductors*play_arrow*Intrinsic Semiconductors*play_arrow*Extrinsic Semiconductor*play_arrow*N-Type Semiconductor*play_arrow*P-Type Semiconductor*play_arrow*Density of Charge Carriers*play_arrow*Conductivity of Semiconductor*play_arrow*P-N Junction Diode*play_arrow*Biasing*play_arrow*Reverse Breakdown*play_arrow*Special Purpose Diodes*play_arrow*P-N Junction Diode as a Rectifier*play_arrow*Transistor*play_arrow*Working of Transistor*play_arrow*Transistor Configurations*play_arrow*Field-Effect Transistor*play_arrow*Transistor as an Amplifier*play_arrow*Different Gains in CE/CB Amplifiers*play_arrow*Transistor as an Oscillator*play_arrow*Digital Electronics*play_arrow*Decimal and Binary Number System*play_arrow*Voltage Signal*play_arrow*Boolean Algebra*play_arrow*Logic Gates and Truth Table*play_arrow*The 'OR' Gate*play_arrow*The 'AND' Gate*play_arrow*The 'NOT' Gate*play_arrow*Combination of Logic Gates*play_arrow*Logic Gates Using 'NAND' Gate*play_arrow*Valve Electronics*play_arrow*Electron Emission from Metal*play_arrow*Thermionic Emission*play_arrow*Vacuum Tubes and Thermionic Valves*play_arrow*Diode Valve*play_arrow*Characteristic Curves of a Diode*play_arrow*Constants of Triode Valve*play_arrow*Triode as an Amplifiers

You need to login to perform this action.

You will be redirected in
3 sec

Free

Videos

Videos