Biot-Savart Law Explained: Formula, Derivation, Applications and Examples in Electromagnetism
Introduction
Semiconductors are one of the most important classes of materials in solid state physics. They are the foundation of modern electronic devices such as transistors, diodes, integrated circuits, solar cells, LEDs, sensors, and microprocessors. A semiconductor is a material whose electrical conductivity lies between that of a conductor and an insulator. Conductors like copper allow electric current to flow easily, while insulators like rubber strongly resist current. Semiconductors possess intermediate conductivity, and their conductivity can be controlled by temperature, impurities, electric field, and light.
The study of semiconductors is important because almost every electronic device used today depends on semiconductor materials. Silicon and germanium are the most commonly used elemental semiconductors. In addition, compound semiconductors such as gallium arsenide and cadmium sulfide are also widely used.
Semiconductors are mainly classified into different types based on purity and doping. In solid state physics, the two major types are:
1. Intrinsic Semiconductor
2. Extrinsic Semiconductor
Extrinsic semiconductors are further divided into:
n-type semiconductor
p-type semiconductor
What is a Semiconductor?
A semiconductor is a material having four valence electrons in its outermost shell. These valence electrons form covalent bonds with neighboring atoms in the crystal lattice. At absolute zero temperature, semiconductors behave like insulators because all electrons are bound in covalent bonds. However, when temperature increases, some electrons gain enough thermal energy to break free from the bonds and move into the conduction band. This creates free electrons and holes, allowing current flow.
Thus semiconductors show properties between metals and insulators.
Examples:
1. Intrinsic Semiconductor
An intrinsic semiconductor is a pure semiconductor without any impurity atoms added. It contains only atoms of the semiconductor material itself.
Examples:
In intrinsic semiconductors, the number of free electrons is equal to the number of holes. When thermal energy is supplied, some covalent bonds break, releasing electrons into the conduction band. The vacant positions left behind are called holes.
Therefore:
This means both electrons and holes take part in electrical conduction.
Properties of
Intrinsic Semiconductor
1. Pure form of semiconductor
2. No impurities added
3. Electrons and holes are equal in number
4. Low conductivity at room temperature
5. Conductivity increases with temperature
6. Behaves as insulator at very low temperature
Energy Band Theory
In intrinsic semiconductor:
A small forbidden energy gap exists between them
For silicon, band gap ≈ 1.1 e V
For germanium, band gap ≈ 0.7 e V
Because the band gap is small, electrons can jump from valence band to conduction band at room temperature.
Applications
Intrinsic semiconductors are mainly used for understanding semiconductor theory and in some special devices.
2. Extrinsic Semiconductor
An extrinsic semiconductor is obtained by adding a very small amount of impurity atoms to a pure semiconductor. This process is called doping.
Doping greatly increases conductivity.
Usually, one impurity atom is added per million semiconductor atoms.
Extrinsic semiconductors are of two types:
1. n-type semiconductor
2. p-type semiconductor
(a) n-type Semiconductor
An n-type semiconductor is formed when a pentavalent impurity is added to pure silicon or germanium.
Pentavalent atoms have five valence electrons.
Examples:
When phosphorus is added to silicon:
Four valence electrons form covalent bonds with neighboring silicon atoms
The fifth electron is loosely bound and becomes free
Thus one free electron is donated by each impurity atom.
Because electrons are negatively charged, it is called n-type semiconductor.
Charge Carriers
Properties of
n-type Semiconductor
1. High conductivity compared to intrinsic semiconductor
2. Current mainly due to electrons
3. Electrons are majority carriers
4. Holes are minority carriers
5. Fermi level lies close to conduction band
Energy Band
Diagram
A donor energy level appears just below the conduction band. Electrons can easily move into conduction band with little energy.
Uses
(b) p-type Semiconductor
A p-type semiconductor is formed by adding a trivalent impurity to pure silicon or germanium.
Trivalent atoms have three valence electrons.
Examples:
When boron is added to silicon:
Three electrons form covalent bonds
One bond remains incomplete
This missing electron creates a hole.
Since holes behave like positive charge carriers, it is called p-type semiconductor.
Charge Carriers
Majority carriers = Holes
Minority carriers = Electrons
Properties of
p-type Semiconductor
1. Conductivity higher than intrinsic semiconductor
2. Current mainly due to holes
3. Holes are majority carriers
4. Electrons are minority carriers
5. Fermi level lies close to valence band
Energy Band
Diagram
An acceptor level appears just above the valence band. Electrons can move from valence band to acceptor level, leaving holes in valence band.
Uses
Difference Between
n-type and p-type Semiconductor
|
Property |
n-type |
p-type |
|
Impurity added |
Pentavalent |
Trivalent |
|
Examples |
P, As, Sb |
B, Al, Ga |
|
Majority carriers |
Electrons |
Holes |
|
Minority carriers |
Holes |
Electrons |
|
Fermi level |
Near conduction band |
Near valence band |
Difference Between
Intrinsic and Extrinsic Semiconductor
|
Property |
Intrinsic |
Extrinsic |
|
Purity |
Pure
|
Impure (doped) |
|
Conductivity |
Low |
High |
|
Charge carriers |
Equal electrons & holes |
Unequal |
|
Uses |
Basic theory |
Electronic devices |
Compound Semiconductors
Apart from silicon and germanium, compound semiconductors are also important.
Examples:
Gallium arsenide has high electron mobility, making it useful in fast circuits.
Importance of
Doping
Doping is extremely important in semiconductor technology. By controlling impurity concentration, conductivity can be precisely adjusted.
Advantages:
1. Increases conductivity
2. Creates p-n junctions
3. Enables transistor action
4. Used in microchips
5. Improves efficiency of devices
Without doping, modern electronics would not exist.
Semiconductor in Daily Life
Semiconductors are used in:
Every modern smart device contains semiconductor components.
Why Silicon is Most Commonly Used?
Silicon is preferred because:
1. Easily available from sand
2. Low cost
3. Stable at high temperature
4. Forms strong oxide layer (SiO₂)
5. Suitable band gap
This is why most IC chips are made of silicon.
Conclusion
Semiconductors are materials with conductivity between conductors and insulators. In solid state physics, they are mainly classified into intrinsic and extrinsic semiconductors. Intrinsic semiconductors are pure materials such as silicon and germanium. Extrinsic semiconductors are produced by doping and are of two types: n-type and p-type. In n-type materials, electrons are majority carriers, while in p-type materials, holes are majority carriers.
Semiconductors are the backbone of modern electronics. Their controlled conductivity makes them useful in diodes, transistors, solar cells, sensors, and integrated circuits. Understanding the types of semiconductors is essential for studying solid state physics and electronic engineering.
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