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De Broglie

  1. Jan 29, 2010 #1
    Are De-Broglie stationary orbits different from Bohr's stationar orbits? I really haven't been able to figure out.
     
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  3. Jan 29, 2010 #2

    Demystifier

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    What are de Broglie stationary orbits?
     
  4. Jan 29, 2010 #3
    Only waves with an integral number of
    de Broglie wavelengths around the orbit are allowed
     
  5. Jan 29, 2010 #4

    Demystifier

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    I see. They are equivalent to the Bohr's stationary orbits.
     
  6. Jan 29, 2010 #5
    The result is that they are the same.
    But de Broglie's hypothesis was in 1923, which is later than the Bohr's theory in 1913.
    And later in 1927 de Broglie's hypothesis ([tex]\lambda = h/mv[/tex]) was confirmed by Davisson and Germer in the interference experiment.
    (Of course, the de Broglie's theory is used also by the Schroedinger equation in making the end of the phases the same.)

    For example, In the Bohr model, the angular momentum is quantized. Its minimum value is [tex]\hbar[/tex]. So, the orbital length (2 pi *r) is,

    [tex]mvr = \hbar = h/2\pi \quad \to \quad 2\pi r = h/mv = \lambda \times 1 [/tex]

    Also in the elliptical orbit, it can be used (See this thread).

    The important point is that in the Bohr-Sommerfeld model, only one electron is included in one orbit of one de Broglie's wavelength.
     
    Last edited: Jan 29, 2010
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