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Magnetic Dipole due to an electron's orbital motion

  1. Mar 27, 2015 #1
    1. The problem statement, all variables and given/known data
    Select all of the following which are possible combinations of Lz and θ for hydrogen atoms in a d state, where Lz is the z component of the angular momentum L, and θ is the angle between the +zaxis and the magnetic dipole moment µℓ due to the electron's orbital motion.

    -2hbar, 35
    hbar, 114
    2hbar, 90
    2hbar, 35
    2hbar, 145

    2. Relevant equations

    cosΘ= Lz/L = m(hbar)/√(l(l+1))
    mu = -e/2m * L

    3. The attempt at a solution

    I was able to figure out that cos^-1(Lz/L) will give me all the possible combinations of the d state and the angles associated with each, but cannot figure out the angle between +z and the magnetic dipole moment. Originally I selected 2hbar, 35 as the answer but I was incorrect. I did this because it was the only answer that gave me an angle in the positive z axis and looked like the right choice through elimination. Does anyone have any ideas?
     
  2. jcsd
  3. Apr 1, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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