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Morse potential 
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#1
Feb1806, 04:53 PM

P: 17

I have the equation for the Morse potential, U = E_0 (1exp(a(rr_0))^2. I'm asked to show that near the minimum of the curve the potential energy is a parabolic function. I've tried to play around with the taylor series with no hope! :( :(
Many thanks, James 


#2
Feb1806, 05:06 PM

Sci Advisor
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P: 2,884

The potential vanishes at r=r_0 and the derivative of the potential also vanishes at r=r_0. The second derivative does not vanish at that point so you get that U(r) is approximately U''(r=r_0)/2 r^2 so a parabolic function. Pat 


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