Hall Effects Theory: Closing the Chapter w/ Maximum Understanding

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SUMMARY

The discussion centers on the Hall Effect, specifically addressing the nature of holes as positive charges and the impact of carrier velocity spread on the Hall coefficient. Holes are defined as positive charges resulting from the absence of electrons in a doped semiconductor, where the atom retains a net positive charge. Additionally, the assumption of negligible carrier velocity spread can significantly affect the accuracy of the Hall coefficient measurement, emphasizing the importance of considering this factor in experimental setups.

PREREQUISITES
  • Understanding of semiconductor physics
  • Familiarity with Hall Effect principles
  • Knowledge of charge carriers in materials
  • Basic concepts of electrical conductivity and doping
NEXT STEPS
  • Research the impact of carrier velocity spread on Hall Effect measurements
  • Study the principles of semiconductor doping and its effects on charge carriers
  • Explore advanced Hall Effect applications in materials science
  • Learn about the calculation and significance of the Hall coefficient
USEFUL FOR

Students and professionals in physics, materials science, and electrical engineering who seek to deepen their understanding of the Hall Effect and its implications in semiconductor technology.

tOngEh
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I have done a lab sesion on hall effect. There a few points that still doubted me.
1)Why are holes considered positive charges?
2)The effects of spread in carriers velociity are assumed negligible in my lab session, how will it affect my Hall coefficient if they are not negligible.

It will be good for me to close this chapter with maximum understanding.

Jason
 
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Q1)

If you consider a material made of atoms, it is, in general, neutral. Each atom of the material has the same number of electrons as it does protons.

If you pull an electron away from one of the atoms, the atom now has a net positive charge. The proton is generally fixed to the nucleus of the material, which doesn't move appreciably through the material. As you probably know, it's the electrons that move.

So when you dope a semiconducting material with an acceptor, you pull an electron off the previously neutral material, leaving a "hole" behind. That is, the core atom that was neutral lost an electron.

This wiki illustrates the process of doping simply:
http://en.wikipedia.org/wiki/Acceptor_(semiconductors)
 

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