Hydrogen partition function and degeneracy

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SUMMARY

The discussion focuses on calculating the statistical weight (degeneracy) and partition function for both neutral and ionized hydrogen using the excitation law of Boltzmann and the ionization law of Saha. The degeneracy for neutral hydrogen is confirmed as 2n², where n represents the principal quantum number. Participants seek resources or references for obtaining the partition function values necessary for their calculations. The conversation emphasizes the importance of these concepts in understanding hydrogen's energy states under varying conditions.

PREREQUISITES
  • Understanding of Boltzmann statistics
  • Familiarity with the Saha ionization equation
  • Knowledge of quantum mechanics, specifically principal quantum numbers
  • Basic concepts of statistical mechanics
NEXT STEPS
  • Research the partition function for hydrogen using quantum statistical mechanics
  • Explore advanced topics in Boltzmann distribution and its applications
  • Investigate the Saha equation in greater detail for ionization calculations
  • Study the implications of degeneracy in thermodynamic systems
USEFUL FOR

Physicists, chemists, and students engaged in thermodynamics and quantum mechanics, particularly those studying the behavior of hydrogen in various energy states.

Raezeman
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So I'm trying to use the excitation law of Boltzmann and the ionisation law of Saha to calculate stuff about what percentage of a quantity of hydrogen in ionised and in what energy state. I have the temperature and energy levels values, so i still need the:
-statistical weight (degeneracy)
-partition function
for both neutral and ionised hydrogen. Where could i find these?

The degeneracy for neutral hydrogen is 2n^2 (n being the principal quantum number) if i am not mistaken?
 
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