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Energy levels and the Aufbau Principle

  1. Apr 1, 2009 #1
    The energy levels of the hydrogen atom are given by En=-me4/(32[tex]\pi[/tex]2[tex]\epsilon[/tex]ohbarn2, and are independant of the orbital angular momentum quantum number l, yet the Aufbau principle clealry implies that the energies of s, p, and d orbitals are different. Explain this apparent paradox and provide an example of experimental evidence that supports your conclusion.

    I feel like I'm on the right track if I go about it from a shielding/penetration standpoint. But I could use the additional help! Thanks!
  2. jcsd
  3. Apr 2, 2009 #2
    There are certain approximations - things you neglected - that a more careful treatment will not neglect. Consider: the electron is actually a relativistic particle, yet you used the nonrelatavistic schrodinger equation to derive those energy levels.

    Look up the fine structure of the hydrogen atom.
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