The potential energy of two atoms in a molecule can be, Ask an Expert

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The potential energy of two atoms in a molecule can be approximated by the Morse function:

U(r)=A[((e^((R-r)/s)-1)^2 )-1)] where r is the distance between the two atoms and A, R and S are positive constants with S<

a) Sketch this function for 0

b) Find the equilibrium separation r0 at which U(r) is a minimum.

c) Now write r=r0+x so that x is the displacement from equilibrium and show that for small displacements U has the approximate form: U=constant +1?2 kx2. What is k?

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