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Solid state: force on an ion moved out of position in crystal, involves taylor series

  1. Sep 11, 2012 #1
    1. The problem statement, all variables and given/known data

    rATBV.jpg

    2. Relevant equations

    All should be there, except taylor series, which is found here:

    http://mathworld.wolfram.com/TaylorSeries.html

    3. The attempt at a solution

    For part a, I got:

    F(r)= [itex]\alpha[/itex](ke2)((-r0/r2)+(r0n/rn+1))

    since force is the negative derivative of potential.

    I'm pretty sure the answer to part b will involve a taylor expansion, but I'm not sure if the f(x) I use will be the equation I found in part a, or the derivative of the equation I found in part a. Additionally, I'm not sure how, in the answer we're supposed to get that's listed in the problem, they got (n-1) and the n term in the second part out of the exponent.

    Thanks for any help!
     
  2. jcsd
  3. Sep 11, 2012 #2
    Re: solid state: force on an ion moved out of position in crystal, involves taylor se

    sorry, double post
     
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