Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hydrogen Atom

  1. May 6, 2009 #1
    Why is the hydrogen the only atom that depends only on principal quantum number n and for all other elements, energies depend on both orbital quantum number and principal quantum number?
     
  2. jcsd
  3. May 7, 2009 #2

    malawi_glenn

    User Avatar
    Science Advisor
    Homework Helper

    in other atoms there will be electron-electron interactions.
     
  4. May 7, 2009 #3
    Incomplete. The reason is an "extra" conserved quantity, called the Runge-Lenz vector (check wikipedia). It's somehow, the same reason for which orbits close (i.e.: ellipses) under the 1/r^2 potential but they do not in general 1/r^p ones.

    Also, if you take into account fine structure effects, there appears an "l" dependence of the energy levels. E.g., if you consider relativistic effects, as in Dirac eq.
     
  5. May 7, 2009 #4

    malawi_glenn

    User Avatar
    Science Advisor
    Homework Helper

    And that L-dependence will also be around in hydrogen atoms.
     
  6. May 8, 2009 #5
    The hydrogen atom has both spin-orbit coupling (coupling of the electron magnetic moment and the orbital magnetic moment) and coupling to the proton magnetic moment that create both fine structure and hyperfine structure of the electron energy levels. The famous ones are the Lamb shift and the 1420 MHz (21 cm electron-proton spin coupling) line in intergalactic hydrogen.
     
  7. May 8, 2009 #6

    Matterwave

    User Avatar
    Science Advisor
    Gold Member

    l dependence of hydrogen will also arise due to perturbations in the potential, such as an external electric or magnetic field. You can look up the Zeeman effect and the Stark effect.

    SO! Really, only ideal hydrogen atom has only n dependence. Real hydrogen atoms have l and m dependence.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Hydrogen Atom
  1. Hydrogen atom (Replies: 2)

  2. Hydrogen Atom (Replies: 2)

  3. Hydrogen Atom? (Replies: 2)

  4. Hydrogen atom (Replies: 3)

Loading...