This document summarizes a presentation on energy bands and gaps. It defines energy bands as ranges of allowed electron energies in solids, and energy gaps as ranges where no electron states can exist. Specifically, it describes the valence band containing bound electrons, the conduction band containing free electrons, and the forbidden band or gap between them. It explains direct and indirect band gaps, where electrons either do or do not change momentum when transitioning between bands. The purpose is to provide information on these fundamental concepts of electronic band structure in solids.
Energy bands consisting of a large number of closely spaced energy levels exist in crystalline materials. The bands can be thought of as the collection of the individual energy levels of electrons surrounding each atom. The wavefunctions of the individual electrons, however, overlap with those of electrons confined to neighboring atoms. The Pauli exclusion principle does not allow the electron energy levels to be the same so that one obtains a set of closely spaced energy levels, forming an energy band. The energy band model is crucial to any detailed treatment of semiconductor devices. It provides the framework needed to understand the concept of an energy bandgap and that of conduction in an almost filled band as described by the empty states.
Energy bands consisting of a large number of closely spaced energy levels exist in crystalline materials. The bands can be thought of as the collection of the individual energy levels of electrons surrounding each atom. The wavefunctions of the individual electrons, however, overlap with those of electrons confined to neighboring atoms. The Pauli exclusion principle does not allow the electron energy levels to be the same so that one obtains a set of closely spaced energy levels, forming an energy band. The energy band model is crucial to any detailed treatment of semiconductor devices. It provides the framework needed to understand the concept of an energy bandgap and that of conduction in an almost filled band as described by the empty states.
SEMICONDUCTORS,BAND THEORY OF SOLIDS,FERMI-DIRAC PROBABILITY,DISTRIBUTION FUN...A K Mishra
This PPT contains valence band,conduction band& forbidden energy gap,Free carrier charge density,intrinsic and extrinsic semiconductors,Conductivity in semiconductors
Basic of semiconductors and optical propertiesKamran Ansari
This presentation explains the band structure, intrinsic semiconductor, extrinsic semiconductor, electrical conductivity, mobility, hall effect, p-n junction diode, tunnel diode and optical properties of the semiconductor.
Fundamentals of learn how to Semiconductors can easily be mani pulated to become conducting or insulating materials and can change their conductive properties
Theoretically investigate the nature of direct band gap of novel materialsUCP
DIRECT BAND GAP:
In the direct band gap band to band recombination and generation occur.
Band to band recombination:
In band-to-band recombination electron from conduction band directly come back to valance band (in valance band holes are present which are the deficiency of electrons which are form when electrons leave valance band and go to conduction band) The electrons and holes annihilate each other the excess energy release during this process in the form of light called photon or in the form of thermal energy.
Band to band recombination is called direct band recombination.
Band to band generation:
In band-to-band generation electron is excited directly from valance band in to the conduction band after absorbing the thermal energy or photon(light) as shown in fig. given bellow.
If the thermal energy is absorbed this process is called thermal generation
If the light is absorbed this process is called photo generation
Momentum consideration in direct band:
In the EK plot K is the parameter proportional to momentum of electron.
GaAs is a notable member of direct band semiconductor
Photons, being massless entities carry the little momentum.
In direct band-band recombination K-value of electron’s and holes are all bounced k=o.as shown in figure given bellow, the little change in momentum is required for the recombination process to proceed.
For conservation of energy and momentum simply the photon is emitted
Energy and momentum have parabolic shape
SEMICONDUCTORS,BAND THEORY OF SOLIDS,FERMI-DIRAC PROBABILITY,DISTRIBUTION FUN...A K Mishra
This PPT contains valence band,conduction band& forbidden energy gap,Free carrier charge density,intrinsic and extrinsic semiconductors,Conductivity in semiconductors
Basic of semiconductors and optical propertiesKamran Ansari
This presentation explains the band structure, intrinsic semiconductor, extrinsic semiconductor, electrical conductivity, mobility, hall effect, p-n junction diode, tunnel diode and optical properties of the semiconductor.
Fundamentals of learn how to Semiconductors can easily be mani pulated to become conducting or insulating materials and can change their conductive properties
Theoretically investigate the nature of direct band gap of novel materialsUCP
DIRECT BAND GAP:
In the direct band gap band to band recombination and generation occur.
Band to band recombination:
In band-to-band recombination electron from conduction band directly come back to valance band (in valance band holes are present which are the deficiency of electrons which are form when electrons leave valance band and go to conduction band) The electrons and holes annihilate each other the excess energy release during this process in the form of light called photon or in the form of thermal energy.
Band to band recombination is called direct band recombination.
Band to band generation:
In band-to-band generation electron is excited directly from valance band in to the conduction band after absorbing the thermal energy or photon(light) as shown in fig. given bellow.
If the thermal energy is absorbed this process is called thermal generation
If the light is absorbed this process is called photo generation
Momentum consideration in direct band:
In the EK plot K is the parameter proportional to momentum of electron.
GaAs is a notable member of direct band semiconductor
Photons, being massless entities carry the little momentum.
In direct band-band recombination K-value of electron’s and holes are all bounced k=o.as shown in figure given bellow, the little change in momentum is required for the recombination process to proceed.
For conservation of energy and momentum simply the photon is emitted
Energy and momentum have parabolic shape
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Energy band and energy gap by Pratimesh pathak
1. Seminar on
Energy band and gap
Submitted By:
Pratimesh Umesh Pathak
Submitted To:
Prof. G.R.Jadhao Sir
Prof. S.S.Nimje Mam
2. I have made this presentation file on the topic
Energy band and gap. I have tried my best to present all
the details Information about this topic.
In the beginning I have tried to give you general information on
this topic.
I express my sincere gratitude to Prof .G.R. Jadhao sir
& Prof. S.S.Nimje Mam who assisting me throughout the
preparation of this topic. I Thanks to our Laboratory attendant
Shri. D.S.More Sir. I also thank to all for providing me the
confidence , performing act and most importantly the track of
the topic whenever I needed it.
3. Defination :- Energy Band
Defination :- Energy Gap
Important energy bands:-
Valence Band .
Conduction Band
Forbidden Band.
Direct & Indirect band gap.
Conclusion.
4. Energy Band :- An energy band is a range of electron
energy in a solid so dense with electron states that it
appears to be continuous. Energy bands are at the heart
of electronic band structure which holds that there are
stationary states of electrons in a solid with well defined,
constant (quantized) energy.
Energy Gap :- Energy gap or bandgap, is an energy range
in a solid where no electron states can exist. The band gap
generally refers to the energy difference between the top of
the valence band and the bottom of the conduction band. It
is the energy required to promote a valence electron bound
to an atom to become a conduction electron, which is free
to move within the crystal lattice and serve as a charge
carrier to conduct electric current.
5. The following are the important energy
band in solids:
Valence band
Conduction band
Forbidden energy gap or Forbidden band
6. Band of energy level which are closer to
nucleolus.
An e- in valence band, expenses strong force
of attraction from nucleolus.
And it can’t move freely when extrenal
electric field is applied.
It is called bounded electron
7. Bond of energy levels which are far away from the
nucleolus.
The conduction band is the band of orbitals that are
high in energy and are generally empty.
An e- in Conduction band has weak influence of
nucleolus and hence it can move free under the
effect of applied electric field and thus it produces
current, it is called free electrons
8. In solid-state physics, an energy gap or bandgap,
is an energy range in a solid where
no electron states can exist.
It generally refers to the energy difference
(in electron volts) between the top of the valence
band and the bottom of the conduction
band in insulators and semiconductors
9. .
For these SC , Conduction band minima and valence band maxima
occurs at same value of momentum.
An e- from CB directly return to VB without changing It’s
momentum. And releases energy in the form of light (photon hv).
Ex: GaAS, Gap.GaAsP
CB minima and VB maxima occurs at different value of
momentum.
When e- from CB returns VB after changing its momentum is called
indirect band gap sc.
E- changes its momentum by releasing phonon which is a
heat particle.
Ex: Si, Ge