The Lennard-Jones model predicts the potential energyV (r) of a two-atom molecule as a

Chapter 4, Problem 54

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The Lennard-Jones model predicts the potential energyV (r) of a two-atom molecule as a function of the distancer between the atoms to beV (r) = Ar12 Br6 , r> 0,where A and B are positive constants.(a) Evaluate limr0+ V (r), and interpret your answer.(b) Find the critical point of V (r). Is it a local maximumor local minimum?(c) The inter-atomic force is given by F(r) = V (r).At what distance r is the inter-atomic force zero?(This is called the equilibrium size of the molecule.)(d) Describe how the parameters A and B affect theequilibrium size of the molecule.

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