1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Probability Density

  1. Apr 18, 2008 #1
    [SOLVED] Probability Density

    Consider a gas made of single hydrogen atoms (not diatomic hydrogen gas). The ground state energy of an electrons bound to a single hydrogen atom is -13.6 eV, and the energy of the first excited state is -10.2 eV. Ignoring the spin of the electron, the degeneracy of the ground state is 1, but the degeneracy of the first excited state if 4. (Note also that k = 8.617*10^-4 eV/K). What temperature would be required in order for the fraction of electrons in one specific orbital of the first excited states to be equal to the fraction of electrons in the ground state?





    I thought perhaps the electron probability densities would follow a canonical distribution, but that seems to be impossible.
     
  2. jcsd
  3. Apr 19, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I'm not sure what a 'canonical' distribution is, but they do follow a 'boltzmann' distribution.
     
  4. Apr 19, 2008 #3

    Math Is Hard

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    canonical = Gaussian?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Probability Density
  1. Probability density (Replies: 6)

Loading...