Electron Transfer at Vacuum-Metal Interface

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Discussion Overview

The discussion revolves around the possibility of an electron with an energy of 0.5 eV being accepted by a positively charged aluminum plate with a Fermi level of 11.7 eV. The inquiry touches on concepts related to electron transfer at a vacuum-metal interface, specifically focusing on the Fermi level and work function in the context of materials science.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • Austin questions whether an electron with 0.5 eV can be accepted by an aluminum plate with a Fermi level of 11.7 eV, noting a lack of experience in materials science.
  • One participant asks for clarification on the reference point of the Fermi level measurement.
  • Another participant explains that the Fermi level represents the highest energy of electrons in a metal and that incoming electrons must exceed this energy to be accepted. They also mention the arbitrariness of the reference point for the Fermi level and relate it to the work function.
  • A later reply suggests exploring the relationship between Fermi energy and work function, recommending Ashcroft and Mermin's book as a resource.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the Fermi level and its implications for electron acceptance, with no consensus reached on the initial question posed by Austin.

Contextual Notes

Participants express some vagueness regarding the definitions and relationships between Fermi level and work function, indicating potential limitations in understanding these concepts fully.

SkiBum326
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Hi Everyone,

Vague Background: an electron with an energy of 0.5 eV is placed in a vacuum, near a positively charged (2 V) aluminum plate.

Is it possible for this electron to be accepted by the plate, given its energy, despite aluminum's Fermi Level of 11.7eV?

There are more specific details, but I don't wan't to alter someone's thought process with too specific of details.

Also, I apologize if this is a rather simple problem; I don't have much experience in materials science.

Kind Regards,

Austin
 
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The Fermi level is measured from what reference point of energy?
 
Before we get into a deeper discussion, could you clarify something for me?

From what I understand, Fermi level is the highest energy of any electrons in a metal. Since all energy states below the Fermi level are occupied, any incoming electrons must have a greater energy than the Fermi level in order to be accepted into the metal. In addition, the value Fermi level is referenced to is rather arbitrary; it is relation between Fermi levels that is important. Also, work function is the Fermi level referenced to the vacuum (I'm a little vague on this one).

I obtained the value I referenced for the Fermi level from:

http://hyperphysics.phy-astr.gsu.edu/hbase/tables/fermi.html
 
SkiBum326 said:
(I'm a little vague on this one).

Yes, that's what I wanted to say. Try to find out how the Fermi energy and the Work function are related. Ashcroft Mermins book is a great source.
 

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