Microstates of an atom in an energy state

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SUMMARY

The discussion focuses on the concept of microstates of an atom in an energy state as described in "Introduction to Thermal Physics" by Daniel v. Schroeder. It clarifies that when an atom is isolated, its energy is fixed, and all microstates corresponding to that energy are equally probable. However, when an atom exchanges energy with a reservoir at constant temperature, the likelihood of finding the atom in any specific microstate varies based on energy levels, indicating that heat exchange is essential for understanding the behavior of the atom in non-isolated conditions.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically energy states and microstates.
  • Familiarity with the concept of thermal reservoirs and heat exchange.
  • Knowledge of degeneracy in quantum states.
  • Basic grasp of statistical mechanics as it relates to atomic behavior.
NEXT STEPS
  • Study the concept of microstates and macrostates in statistical mechanics.
  • Learn about the role of thermal reservoirs in thermodynamic systems.
  • Explore the implications of energy exchange on atomic states using examples from quantum mechanics.
  • Investigate the effects of temperature on the distribution of microstates in a system.
USEFUL FOR

Students of physics, particularly those studying thermodynamics and statistical mechanics, as well as researchers interested in atomic behavior and energy exchange processes.

Sebas4
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I have a question about a sentence in the book Introduction to Thermal Physics (Daniel v. Schroeder).

So in chapter 6, Schroeder talks about an atom isolated. This means its energy is fixed.
The atom is in some state. The energy states of the atom have degenerated. All microstates with that energy the atom has are equally probable.

Now they are talking about a reservoir with a constant temperature. There is an exchange of energy between the reservoir and the atom.
Then Schroeder says that "In this case, the atom would conceivably be found in any of its microstates, but some will be more likely than others, depending on their energies.". I don't get this sentence.

So there is always heat exchange between the atom and the reservoir?
Because if there is no heat exchange between the reservoir and atom, the atom cannot be found in any of its microstates because the energy is fixed.

I hope someone can clarify this sentence.

Thank you in advance.

- Sebas4.
 
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Sebas4 said:
There is an exchange of energy between the reservoir and the atom.
This means that there must be an interaction between the recevoir and the atom (otherwise it would be invisible to it). Usually this will lift some of the degeneracy for the no longer isolated atom. Perhaps that is his point...I do not know for sure.
 

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