Degeneracy

From AstroBaki
Revision as of 08:58, 13 September 2020 by Aparsons (talk | contribs) (Created page with 'Course Home ===Short Topical Videos=== * [https://www.youtube.com/watch?v=VQYxnTy4IoM Statistical Degeneracy (Aaron Parsons)] ===Referen…')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

Course Home

Short Topical Videos

Reference Material

Related Topics


Boltzmann Distribution

1 Definition

Degeneracy, often denoted , is how many distinct configurations of an system map to one statistical "outcome."

2 Degeneracies of the hydrogen atom

The energy degeneracies corresponding to each E_n for the hydrogen atom are given by:

Taking the two electron spin states and the two proton spin states of hydrogen into account, our degeneracies then ultimately become

Using this expression for our degeneracies, we can then show the ratios of excited states of hydrogen to the ground state as a function of temperature:

Ratios of hydrogen excited states to the ground state as a function of temperature