Electric field needed to excite electrons to conduction band

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Discussion Overview

The discussion centers around the electric field strength required to excite lithium's core electrons into the conduction band, exploring theoretical and practical aspects of this phenomenon in solid lithium, particularly in the context of electric fields surrounding a lithium wire.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the relevance of energy bands in a single atom, suggesting that energy bands form only in solids where many atoms are bound together.
  • Another participant emphasizes the importance of photon energy in determining excitation likelihood, noting that increasing electric field strength may enhance multiphoton excitation probabilities for photon energies lower than the resonance energy.
  • A participant suggests that to determine the electric field strength needed, one must first ascertain the binding energy of the core level, referencing X-ray photoelectron spectroscopy (XPS) data.
  • One participant clarifies that they are considering a lithium wire in a strong electric field and seeks to understand the necessary field strength for core electron excitation.
  • Another participant mentions the Stark Effect and expresses skepticism about achieving core-level excitation with a strong electric field, citing the risk of surface breakdown in conductors at high electric fields, specifically around 60 MV/m for copper.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of energy bands in single atoms versus solids, the role of photon energy in excitation, and the feasibility of using strong electric fields for core electron excitation. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight the need for specific energy difference values between bands and the practical limitations of electric field strengths before core-level excitations can be observed, indicating a dependence on experimental conditions and definitions.

Northprairieman
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What's the electric field strength needed to get one of lithium's core electrons into the conduction band? How do you figure this out?
 
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First of all I have never heard people talking about energy band in a single atom, bands of energy are formed when many atoms or molecules are bound together forming what we know as solid. And be it energy bands or well separated individual energy levels, what determines, among others, whether an excitation is likely to take place or not is the photon energy, the probability of which is higher for photon energies closer to the energz difference between levels or bands in question. Increasing electric field strength only increases the probability of multiphoton excitation for photon energies lower than the resonance one-photon energy.
 
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Northprairieman said:
What's the electric field strength needed to get one of lithium's core electrons into the conduction band? How do you figure this out?

Assuming that you are talking about solid lithium metal, then you need to figure out the binding energy corresponding to that core level. Find a good XPS data on it.

Zz.
 
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blue_leaf77 said:
First of all I have never heard people talking about energy band in a single atom, bands of energy are formed when many atoms or molecules are bound together forming what we know as solid. And be it energy bands or well separated individual energy levels, what determines, among others, whether an excitation is likely to take place or not is the photon energy, the probability of which is higher for photon energies closer to the energz difference between levels or bands in question. Increasing electric field strength only increases the probability of multiphoton excitation for photon energies lower than the resonance one-photon energy.

I was just thinking of a lithium wire in a strong electric field (a field surrounding the wire, not just the field along the axis of the wire to get current) and how strong of an electric field you would need to excite a core electron into becoming a conduction electron.
 
One has to know the energy difference between the mentioned bands.
 
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Northprairieman said:
I was just thinking of a lithium wire in a strong electric field (a field surrounding the wire, not just the field along the axis of the wire to get current) and how strong of an electric field you would need to excite a core electron into becoming a conduction electron.

While to some extent, one can induce the Stark Effect in these things, I don't believe that you can do such excitation using simply a "strong electric field". This is because, in the practical sense, you might induce a breakdown on the surface of the conductor first before you can achieve the E-field necessary. I say this because at ~60 MV/m, conductors such as Cu already will experience vacuum breakdown. All this before you actually see any kind of indication that at fields below this, such core-level excitation have occurred. This means that it will require substantially higher E-field than this. So you will induce a breakdown on the surface first before anything else.

Zz.
 
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