Semi-conductor Devices and Electronics
    1.0 Introduction
    2.0 Types of semiconductor
    3.0 Mass action law
    4.0 Electrical conductivity in semiconductor
    5.0 $p-n$ junction
    6.0 Breakdown voltage
    7.0 $I-V$ characteristics of a $p-n$ junction
    8.0 Rectifier
    9.0 Light emitting diode (LED)
    10.0 Zener diode
    11.0 Transistor
    12.0 Boolean identities
    13.0 Logic gates
    14.0 De Morgan's theorem

1.2 Band theory of solids

A. Valence band

This band contains valence electrons. This band may be partially or completely filled with electrons.
This band is never empty. Electrons in this band do not contribute to electric current.






B. Conduction band

In this band, electrons are rarely present.
This band is either empty or partially filled.
Electrons in the conduction band are known as free electrons.
Free electrons contribute to the electric current.


C. Forbidden band

Forbidden band is often called as forbidden energy gap.
The energy gap between the valence band and conduction band is known as forbidden energy gap or forbidden band.
No electrons are present in this gap. It is a measure of energy band gap.
It is represented by ${E_g}$.

The minimum energy required for shifting electrons from valence band to conduction band is known as energy band gap.

If $\lambda $ is the wavelength of radiation used in shifting the electron from valence band to conduction band, then the energy band gap is given by,
$${E_g} = \frac{{hc}}{\lambda }\quad {\text{or}}\quad {E_g} = h\upsilon $$
where,
$h = 6.63 \times {10^{ - 34}}\;Js$: Planck's constant
$c$: Speed of light
$\upsilon $: Frequency of radiation
$\lambda $: Wavelength of radiation

Relation between forbidden energy gap $\left( {{E_g}} \right)$ and temperature in a semiconductor

For silicon, $${E_g}(T) = 1.21 - 3.60 \times {10^{ - 4}}T$$
At room temperature $(300K)$, ${E_g} = 1.1\;eV$

For germanium, $${E_g}(T) = 0.785 - 2.23 \times {10^{ - 4}}T$$
At room temperature $(300K)$, ${E_g} = 0.72\;eV$

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