PN Junction open conditions conservation of energy

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Discussion Overview

The discussion revolves around the behavior of a PN junction in open circuit conditions, specifically addressing the concept of contact voltages at the metal-semiconductor junctions and their relationship to the conservation of energy. Participants explore the implications of these contact potentials and their role in the depletion region, as well as the visualization of potential graphs.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the meaning of contact voltages at the metal-semiconductor junctions when the anode and cathode are both at 0V.
  • Another participant explains that contact potentials arise when two materials with different work functions are in contact, and these potentials usually cancel each other out in thermal equilibrium.
  • A participant seeks clarification on whether contact potentials occur next to the depletion region and receives confirmation that they coincide with the electric field in that area.
  • One participant shares their interpretation of contact charges occurring at the boundary of the depletion region and speculates on the nature of these charges, questioning if they are due to localized buildup of charge carriers.
  • A later reply corrects the previous speculation, suggesting that the contact charges are actually majority charge carriers in the n material.
  • Another participant clarifies that the built-in voltage exists across the junction, while contact potentials occur at the metal contacts, preventing current flow from the barrier.
  • Links to external resources are shared to provide additional diagrams and explanations related to the topic.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the exact nature of contact charges and their implications. There is no consensus on the specifics of how contact potentials interact with the built-in voltage, and multiple viewpoints are presented without resolution.

Contextual Notes

Participants discuss the limitations of their understanding regarding the visualization of potential graphs and the conditions under which contact potentials exist. The discussion reflects varying interpretations of the underlying physics without definitive conclusions.

SpartanG345
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When a PN juction is in the open circuit condition, my textbooks says the following.

"The voltage measured between the terminals is zero. That is the junction Voltage Vo does not appear across between the diode terminals.This is because of the contact voltages existing at the metal-semiconductor junctions at the diode terminals, which counter and exactly balance the barrier voltage."

Otherwise the there would be a violation of the conservation of energy.

I am not sure what this means

if the anode is at 0v and the cathode is at 0v what are the "contact voltages existing at the metal-semiconductor junctions at the diode terminals"?

 
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There's a contact potential when you make electrical contact between any two materials which have a different work functions (affinity for electrons). Normally (in thermal equilibrium) you can't measure this potential as they always cancel each other out and thus add to zero around a closed loop.

If you don't have thermal equilibrium however then the voltages don't necessarily cancel and you get a net potential around a closed loop. This is how a thermo-couple works and is also how a photovoltaic cell (solar cell) works, disturbing the thermal equilibrium by adding heat or light to one of the junctions.
 
so wait this contact potentials occur right next to the depletion region?

I still can't visualise the potential graph
 
Last edited:
SpartanG345 said:
so wait this contact potentials occur right next to the depletion region?
Yes the depletion region coincides with the electric field that produces the contact potential.
 


This is a picture of my interpretation so far.

2011-03-13_1941.png


The contact charges occur in the boundary of the depletion region. The region where the contact charges occurs is not between the boundary of to different materials.
I am wondering what causes these contact charges.

I think it may be localised build up of positive wholes and electrons (minority charge carriers). Is this correct?

Also is there a limit to the magnitude of the contact charge? If you have 2 very large positive and negative charges which were separated somehow you would expect there to be a measurable potential between the two terminals.
 
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edit...

I think it may be localised build up of majority charge carriers electrons in the n material ect
 
SpartanG345 said:
so wait this contact potentials occur right next to the depletion region?

I still can't visualise the potential graph
No. The barrier or built-in voltage exists across the junction, while the contact potentials occur where the metal contacts connect to the bulk n+ and p+ semiconductors. Thermodynamics conspires that the contact potentials exactly counterbalance the built-in potential in a closed circuit, preventing you from drawing current from the barrier.

I looked around online and found a consicse discussion with diagrams here:
"ocw.mit.edu/courses/electrical-engineering.../lecture5annotat.pdf"[/URL]
go to p. 17-18
 
Last edited by a moderator:
Yes it is.
 

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