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8/3/2019 Electronic Devices and Machines
http://slidepdf.com/reader/full/electronic-devices-and-machines 1/11
2011
MD. HASAN SHAHRIAR
Leonis Technology Inc.
7/9/2011
CONDUCTIVITY AND DOPING
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
Page 2
E L E C T R O N IC D E V I C E S A N D M A C H I N E S
CONDUCTIVITY AND DOPING
By
MD. HASAN SHAHRIAR
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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Types of materials:
At the perspective of conductivity, materials are of three types:
1. Conductor,
2. Semi-conductor and
3. Insulator.
Conductor:
A conductor is a material that will support a generous flow of charge when a voltage
source is applied across its terminal. Insulator:
An insulator is a material that offers a very low level conductivity in case of applied
voltage.
Semi-conductor: A semi-conductor, therefore, is a material that has conductivity somewhere between
the extremes of an insulator and a conductor.
The characteristics of semi-conductor material can be altered significantly by the
addition of certain impurity atoms into relatively pure semi-conductor material.
A semi-conductor that has been subjected to the doping process is called an extrinsic
material.
There are two extrinsic materials:
1) n-type,
2) p-type.
Both n-type and p-type are formed by adding impurity atoms in germanium or silicon
base.
n-type material: The n-type material is created by introducing a pre-determined number of impurity
atoms that have five valance electrons such as- Antimony (Sb), Arsenic (As) and
Phosphorus (P).
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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The effect is indicated in figure with four covalent bonds, an additional fifth electron
due to impurity atoms. The remaining electron is loosely bounded to its parent atom
and relatively free to move in the structure. The diffused impurities with five valance
electrons are called donor.
p-type material: The p-type material is formed by doping a pure Ge or Si crystal with impurity atoms
that have three valance electrons such as- Boron (B), Gallium (Ga), Indium (In).
There is insufficient number of electrons to complete the covalent bonds of the newly
formed lattice. The resulting vacancy is called hole and is represented by a small circle
or a positive sign.
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
Page 5
Since the resulting vacancy will readily accept a free electron, it is considered to have
positive charge. The diffused impurities with three valance electrons are called
acceptor.
Majority & Minority Carrier:In an n-type material, the number of holes has not changed significantly from its
intrinsic level. The net result, is therefore, is that the number of electrons outweighs
the number of holes. So, in an n-type material, electrons are majority carrier and holes
are minority carrier.
In a p-type material, the number of holes has changed significantly from its intrinsic
level. The net result is therefore, is that the number of holes outweighs the number of
electrons. So, in a p-type material, holes are majority carrier and electrons are minority
carrier.
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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Semi-conductor diode:
The semi-conductor diode is simply formed by bringing p-type and n-type materials
together. At the instant the two materials are joined, the electrons and holes will
combine in the region of the junction, resulting in lack of carriers near the junction.
The region of uncovered positive and negative ion is called the depletion region due
to the depletion of carrier in this region.
Since, diode is a two-terminal device, there are three types of combination possible to
apply voltage:
1. No Bias ( ),
2. Forward Bias (
),
3. Reverse Bias ( ).
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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Diode forward bias i-V relationship:
Here, Reverse saturation current, it should be in the order of Amp,
= Thermal voltage = , K=Boltzmann constant= ⁄ ,
T= Temperature in Kelvin, q = Electron charge =,
= Forward bias voltage.
Approximately the equation becomes,
or,
or,
or,
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CONDUCTIVITY AND DOPING 2011
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i-V relationship in diode:
Let us consider the forward-bias i-V characteristics, for current if corresponding
diode voltage is , then
. If the voltage is , the forward bias current
becomes
.
Now,
or,
or,
or,
or, (
)
or, (
)
or, (
)
(
)
The equation simply states that, for a change in current, the diode voltage drop
changes by 2.3 , for n=1 which is approximately 60 mV .
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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CONDUCTIVITY AND DOPING 2011
MD. HASAN SHAHRIAR
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Forward and Reverse Bias p-n junction:
If negative voltage is applied, diode operated in reverse bias mode, diode current iszero and diode said to be cut off.
A positive voltage is applied to the ideal diode, zero voltage drop across diode occurs.
The diode behaves as short circuit in forward region. Forward bias is said to be turnedon.
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MD. HASAN SHAHRIAR Page 11