Illinois Tools: PN Junction Short-Base Depletion Approximation

By Nahil Sobh1; Mohamed Mohamed1

1. University of Illinois at Urbana-Champaign

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Version 2.5a - published on 13 Aug 2014

doi:10.4231/D3W950P3M cite this

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Abstract

This model is valid under the assumption that the width of the n-region is sufficiently small so that injected minority carriers diffuse to the metal contact before recombining with majority carriers. ( Depletion Width << Diffusion Length ) The PN Junction: Short-Base Depletion Approximation tool is used to approximately calculate, and then graph, the distribution in an p- and n-type junction of :
  • Charge Density
  • Electric Field Intensity
  • Electrostatic Potential
  • Excess Carrier Concentration
  • Current Density
  • Current Density Amplitude
  • Depletion Width
  • Max Excess Hole Concentration
  • Max Excess Electrons Concentration
  • Junction Capacitance
  • 1 / C^2

References

  • Si and Ge intrinsic carrier values are based on Thurmond's paper: The Standard Thermodynamics Functions for the Formation of Electrons and Holes in Ge, Si, GaAs, and GaP
  • GaAs intrinsic carrier values are based on Blakemore's paper: Semiconducting and other major properties of gallium arsenide
  • For full details please see Chapter 5 of Streetman's and Banerjee's book " Solid State and Electronic Devices " Sixth Edition

Cite this work

Researchers should cite this work as follows:

  • Nahil Sobh, Mohamed Mohamed (2014), "Illinois Tools: PN Junction Short-Base Depletion Approximation," https://nanohub.org/resources/pnshortbasedda. (DOI: 10.4231/D3W950P3M).

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