Do Electrons Lose Heat? Answers to Questions Explained

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Discussion Overview

The discussion revolves around whether electrons lose heat, how this process occurs, and the effects of electric and magnetic fields on bound electrons. It includes theoretical considerations, experimental observations, and conceptual clarifications related to the behavior of electrons in metals and their interactions with fields.

Discussion Character

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

Main Points Raised

  • Some participants question whether electrons can lose heat, noting that heat is a bulk property and individual electrons do not possess heat.
  • It is proposed that in a cooler metal, electrons occupy lower energy levels, which could imply a reduction in their average speed.
  • Some participants suggest that electrons lose energy through interactions with their surroundings, potentially emitting light as a result.
  • Questions are raised about the effects of electric and magnetic fields on bound electrons, including whether these fields slow electrons down or affect their energy levels.
  • One participant explains that applying an electric or magnetic field alters the Hamiltonian, changing the distribution of energy states, though the effects depend on specific situations.
  • A kinetic model of electrons in metals is discussed, describing them as a gas with low heat capacity that sheds kinetic energy until thermal equilibrium is reached, primarily through phonon interactions.
  • It is noted that ultrafast laser pulses can create a two-temperature system in metals, highlighting the rapid energy transfer between electrons and the metallic ion cores.
  • References to the Stark and Zeeman effects are made, indicating how electric and magnetic fields can influence spectral lines of atoms.

Areas of Agreement / Disagreement

Participants express differing views on whether electrons can be said to lose heat, with some emphasizing the bulk nature of heat and others discussing energy loss mechanisms. The effects of electric and magnetic fields on electrons also remain a topic of exploration without consensus.

Contextual Notes

Participants acknowledge that the discussion involves complex interactions and conditions, such as the specific environments in which electrons operate and the assumptions underlying various models. The relationship between energy loss and the surrounding material is also highlighted as a factor that may influence outcomes.

Northprairieman
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Do electrons lose heat? If they do, how do they do it? Bremstrahlung for free electrons and going down to a lower energy level for bound electrons? If you had say a metal and cooled it down, would the electrons move slower or just jump to lower energy levels and lose photons?
 
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Do electrons lose heat?
Heat is a bulk-property - individual electrons don't have heat.

If you had say a metal and cooled it down, would the electrons move slower or just jump to lower energy levels and lose photons?
A cooler metal has more electrons in lower energy levels. This means that the electrons have a lower average speed.

The electrons in the metal lose energy by interaction with their surroundings... that means electromagnetic so, basically yes, they shed energy as light.
 
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What effect does an electric field have on a bound electron? Does it slow it down or affect its orbit in any other way? Does an electric field cause an electron to move to another energy level?

What effect does a magnetic field have on a bound electron? Does it slow it down or affect its orbit in any way?
 
An applied electric or magnetic field alters the Hamiltonian ... so the distribution of the energy states changes.
The effect depends on the exact situation.
 
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Within a metal, electrons can be treated as a gas; a kinetic model first developed by Drude ~1900.

Such a gas has a very low heat capacity (confirmed by experiment), and sheds kinetic energy quickly until the electron gas and the surrounding material reach equilibrium temperature.

Most of the shed energy is in the form of phonons (quantized sound). The moving ("free") electrons are not bound to individual atoms ... they are coupled to the bulk of the metal crystal, and move quite freely. These are your carrier electrons, which make up the conduction band.

This is most easily seen in far-from equilibrium systems as when an ultrafast laser pulse is absorbed by a thin metal film: the electrons, having a much smaller mass, are rapidly accelerated, and their thermal energy increases in less than a picosecond, resulting in a two-temperature system consisting of (1) the hot electron gas, and (2) the metallic ion cores. Depending upon the electron coupling constant for the metal ballistic (very hot) electrons may easily be emitted, or may be heavily suppressed.

You can find literature on this by searching Google Scholar for "electron two temperature model".

Note: I did my doctoral thesis on this topic, measuring the phonon distribution across different crystal directions. The cooling curve is the typical exponential thermal decay as the electron gas and the metal temperatures equilibrate. For a purely optical experiment one sees changes in optical reflectivity, which is a measure of the surface electron density.
 
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