Finding n and p of semiconductor given temp, NA, ND, and Ni

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SUMMARY

This discussion focuses on calculating the electron concentration (n) and hole concentration (p) in doped silicon semiconductors using temperature, acceptor concentration (NA), donor concentration (ND), and intrinsic carrier concentration (Ni). The relationship n*p=Ni^2 applies only to intrinsic semiconductors; for doped semiconductors, one must consider the effects of NA and ND. A recommended resource for understanding the necessary equations is available at the University of Colorado's website.

PREREQUISITES
  • Understanding of semiconductor physics
  • Familiarity with doping concepts in silicon
  • Knowledge of intrinsic and extrinsic carrier concentrations
  • Basic mathematical skills for solving equations
NEXT STEPS
  • Study the equations for calculating n and p in doped semiconductors
  • Learn about the temperature dependence of intrinsic carrier concentration (Ni)
  • Explore the impact of varying NA and ND on semiconductor behavior
  • Review the provided resource on extrinsic semiconductors for detailed explanations
USEFUL FOR

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

campeola46
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I'm doing independent study on semiconductors to prepare for a future class and I'm having problems with some problems that concern finding the n and p of doped Silicon given only a temperature, NA, ND, and Ni. I understand that n*p=Ni^2, but, given that this means that n does not equal ND (and p does not equal NA) I cannot find what equations to use for the solution. I would greatly appreciate any help understanding how this works. Thank you in advance
 
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n*p = Ni^2 only works for an intrinsic semiconductor. Once the semiconductor is doped, you need to take Na and Nd (the acceptor and donor concentrations) into account. A very clear webpage that explains the equations you need is: http://ecee.colorado.edu/~bart/book/extrinsi.htm
 
Most likely this can only be answered by an "old timer". I am making measurements on an uA709 op amp (metal can). I would like to calculate the frequency rolloff curves (I can measure them). I assume the compensation is via the miller effect. To do the calculations I would need to know the gain of the transistors and the effective resistance seen at the compensation terminals, not including the values I put there. Anyone know those values?

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