1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Kahn's Molecular Magnetism

  1. Mar 24, 2006 #1
    I am going through Olivier Kahn's book "Molecular Magnetism". I am stuck on something that seems so simple. On page 10, it is stated that


    The book then states that this leads to


    I've tried to figure the steps between but I can't get anywhere. What am I missing here?

    EDIT: Of course, [tex]M_S=-S,-S+1,...,S-1,S[/tex]

    PS. [tex]C=\frac{Ng^2\beta^2}{kT}[/tex] where [tex]\beta[/tex] is the Bohr magneton and [tex]k[/tex] is the Boltzmann constant.
  2. jcsd
  3. Mar 24, 2006 #2
    [tex]\sum_{k=1}^n k^2=\frac{1}{6}n(n+1)(2n+1)[/tex]
  4. Mar 24, 2006 #3
    [tex]\chi=C\sum\limits_{M_s=-S}^S \frac{M_S^2}{2S+1}
    =C\times 2\times \frac{1}{6} \frac{S(S+1)(2S+1)}{(2S+1)}=\frac{C}{3}S(S+1)[/tex]
  5. Mar 24, 2006 #4
    Thanks a lot! Of course, I didn't remember that summation at all. It's been a while. :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Kahn's Molecular Magnetism
  1. Molecular Orbitals (Replies: 1)

  2. Molecular bonding (Replies: 16)

  3. Molecular dynamics (Replies: 2)

  4. Molecular geometry (Replies: 4)

  5. Molecular Orbitals (Replies: 4)