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The potential energy function for either one of the two atoms in a diatomic
molecule is often approximated by U(x) = −a/x¹² — b/x6 where x is the distance
between the atoms. (a) At what distance of separation does the potential energy
have a local minimum (x = ∞) ?

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27.The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U (x)=-a/x¹² -b/x6 where x is the distance between the atoms. (a) At what distance of seperation does the potential energy have a local minimum (not at x = ¥)?(b) What is the force on an atom at this separation? (c) How does the force vary with the separation distance? Solution a. -2a b 1/6 ; b. 0; c. ~x6