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Aproximating a morse potential using a taylor polynomial

  1. Nov 13, 2012 #1
    I am not going to post my question because I want to find out how to actually use the taylor polynomial and morse potential and then apply that to my problem. Say I have to approximate the morse potential using a taylor series expanding about some value. This will then find me the force constant. How would I go about setting up such equations?
     
  2. jcsd
  3. Nov 13, 2012 #2
    Do you know how to taylor expand exponentials?
     
  4. Nov 13, 2012 #3
    yeah, i know the formula
    f(x) = f(a) + f'(a)(x-a) + f''(a)/2! (x-a)^2 and so on
    I'm not sure how to do this on a morse potential. Seems like there are a lot of variables and I'm not sure from my given data, what goes where.
     
  5. Nov 14, 2012 #4
    There are not more variables exactly, there are more parameters but the only independent variable is r. So try expanding in terms of r and treat everything else as a constant.
     
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