<< Chapter < Page Chapter >> Page >
introduction to semiconductors, mainly looking at the behavior of electrons in a solid from a quantum mechanical point of view.

If we only had to worry about simple conductors, life would not be very complicated, but on the other hand we wouldn't be ableto make computers, CD players, cell phones, i-Pods and a lot of other things which we have found to be useful. We will now move on,and talk about another class of conductors called semiconductors.

In order to understand semiconductors and in fact to get a more accurate picture of how metals, or normal conductors actuallywork, we really have to resort to quantum mechanics. Electrons in a solid are very tiny objects, and it turns out that whenthings get small enough, they no longer exactly following the classical "Newtonian" laws of physics that we are all familiarwith from everyday experience. It is not the purpose of this course to teach you quantum mechanics, so what we are going todo instead is describe the results which come from looking at the behavior of electrons in a solid from a quantum mechanicalpoint of view.

Solids (at least the ones we will be talking about, and especially semiconductors) are crystalline materials, whichmeans that they have their atoms arranged in a ordered fashion. We can take silicon (the most important semiconductor)as an example. Silicon is a group IV element, which means it has four electrons in its outer or valence shell. Siliconcrystallizes in a structure called the diamond crystal lattice. This is shown in . Each silicon atom has four covalent bonds, arranged in atetrahedral formation about the atom center.

Crystal structure of silicon
In two dimensions, we can schematically represent a piece of single-crystal silicon as shown in . Each silicon atom shares its four valence electrons with valenceelectrons from four nearest neighbors, filling the shell to 8 electrons, and forming a stable, periodic structure. Once theatoms have been arranged like this, the outer valence electrons are no longer strongly bound to the host atom. The outer shellsof all of the atoms blend together and form what is called a band . The electrons are now free to move about within this band, and this can lead to electrical conductivityas we discussed earlier.
A 2-D representation of a silicon crystal
This is not the complete story however, for it turns out that due to quantum mechanical effects, there is not just one bandwhich holds electrons, but several of them. What will follow is a very qualitative picture of how the electrons are distributedwhen they are in a periodic solid, and there are necessarily some details which we will be forced to gloss over. On theother hand this will give you a pretty good picture of what is going on, and may enable you to have some understanding of how asemiconductor really works. Electrons are not only distributed throughout the solid crystal spatially, but they also have a distribution in energyas well. The potential energy function within the solid is periodic in nature. This potential function comes from thepositively charged atomic nuclei which are arranged in the crystal in a regular array. A detailed analysisof how electron wave functions , the mathematical abstraction which one must use to describe how small quantummechanical objects behave when they are in a periodic potential, gives rise to an energy distribution somewhat like that shown in .
Schematic of the first two bands in a periodic solid showing energy levels and bands
Firstly, unlike the case for free electrons, in a periodic solid, electrons are not free to take on any energy value they wish.They are forced into specific energy levels called allowed states which are represented by the cups in the figure. The allowed states are not distributed uniformly in energy either. They are grouped into specific configurationscalled energy bands . There are no allowed levels at zero energy and for some distance above that. Moving up fromzero energy, we then encounter the first energy band. At the bottom of the band there are very few allowed states, but as wemove up in energy, the number of allowed states first increases, and then falls off again. We then come to a region with noallowed states, called an energy band gap . Above the band gap, another band of allowed states exists. This goes on and on,with any given material having many such bands and band gaps. This situation is shown schematically in , where the small cups represent allowed energy levels, and the vertical axis represents electron energy.

Questions & Answers

what is microbiology
Agebe Reply
What is a cell
Odelana Reply
what is cell
Mohammed
how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Introduction to physical electronics. OpenStax CNX. Sep 17, 2007 Download for free at http://cnx.org/content/col10114/1.4
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Introduction to physical electronics' conversation and receive update notifications?

Ask