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symbolipoint

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If you just want a function that fits the graph but you don't really know the mechanism making the shape, try polynomial function fit. Maybe third or fourth degree polynomial can give a good fit. Your graph shows fairly easily readable points. You'll only need the simplest of Linear Algebra skills to determine the function.

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http://en.wikipedia.org/wiki/Morse_potential

f(x)=e

Used to model nucleon-nucleon interactions.That shape looks familiar, but not sure from what exactly. Physics or physical chemistry?

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