What are the basic terms in semiconductor physics and how are they defined?

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SUMMARY

This discussion provides clear definitions of fundamental terms in semiconductor physics, including Fermi level, density of states, carrier concentration, mass action law, and charge neutrality. The Fermi level represents the highest occupied energy level in a crystal at absolute zero, while the density of states quantifies how many electrons can occupy a given energy level. Charge neutrality indicates that the number of positive charges equals the number of negative charges, and the mass action law states that the product of hole and electron concentrations remains constant. Carrier concentration refers to the number of mobile electrons available to conduct electricity, influenced by the density of states and Fermi-Dirac statistics.

PREREQUISITES
  • Understanding of Fermi-Dirac statistics
  • Familiarity with semiconductor band theory
  • Basic knowledge of charge carriers in semiconductors
  • Awareness of energy band diagrams
NEXT STEPS
  • Study Fermi-Dirac statistics in detail
  • Explore semiconductor band theory and energy band diagrams
  • Research the implications of charge neutrality in semiconductor devices
  • Learn about the mathematical formulation of the mass action law
USEFUL FOR

This discussion is beneficial for students and professionals in physics and electrical engineering, particularly those focusing on semiconductor technology and device fabrication.

wwonderboy
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hey guys i want to know the definition of these terms & what are they but please i don't want big words because i won't understand i want to understand it simply:
1-Fermi level
2-Density of states
3-Carrier concentration & the graphs (in the attachment)
4-Mass action law
5-Charge neutrality
i attached some files because i don't understand what it is saying
 

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  • mass action law.jpg
    mass action law.jpg
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Do you have any chemistry background? Because the easiest way to think of the Fermi level is as your highest occupied orbital. The major difference is that in a crystal structure, your discrete atomic or molecular orbitals blend together into bands of energy levels (so it isn't a Highest Occupied Molecular Orbital, it is instead called the Fermi level). Your density of states diagram is then analogous to a molecular orbital diagram. The big difference is that you once again don't have discrete energy levels, you now have a probability distribution for possible electronic states.
 
Fermi level: At zero temperature everything below is occupied, everything above is empty. At finite temperature things get smeared out a but, according to Fermi-Dirac statistics.

Density of states: How many electrons can you fit at this energy? There can be occupied and unoccupied DoS, so you have to be a bit careful sometimes.

Charge neutrality: Just what is says. Number of positive charges (holes and donors) = number of negative charges (electrons and acceptors)

Mass action law: Read the equation. Concentration of holes times concentration of electrons is a constant.

Carrier density: Number of mobile electrons that can carry an electric current. Depends on the DoS and the probability to find an electron or hole there (Fermi-Dirac statistics)
 

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