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U(Ro) = (-2Nq^2 ln(2) (1-1/n))/Ro for equilibrium separation (Ro).

I need to show that the work to compress the crystal from Ro --> Ro(1-x) is 1/2Cx^2

where C = (n-1)q^2 ln(2)/ Ro.

Any hints about where to start? I thought it would just be taking the differences of the two energies but my value for C is not matching the one given.