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Homework Help: DeBroglie Wavelength Comparison

  1. Mar 9, 2009 #1
    1. The problem statement, all variables and given/known data
    Compare the deBroglie wavelength for an electron in the n=6 orbit of He+ compared to the n=2 orbit. Is the deBroglie wavelength the same, smaller, or larger? Derive this.

    2. Relevant equations

    Quantization of Paths of Electrons:
    2 pi r = n (lambda)

    Bohr Radius:
    rn=n2 aB

    3. The attempt at a solution

    So plugging eqn 2 into eqn 1 and solving for lambda (and using Z = 2 for He+) gives:
    wavelength = pi n aB

    So using this, the deBroglie wavelength of n=6 would be 3 times larger than the n=2 wavelength?
    I really don't know if this is correct. I don't know if the Bohr model can be used with deBroglie (they are kind of related right?)

    Ok the math symbol stuff is kind of messed up, I fixed what I could but it kept showing things wrong.
    Last edited: Mar 9, 2009
  2. jcsd
  3. Mar 10, 2009 #2


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    Staff Emeritus
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    Homework Helper

    Looks right to me.
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