Another commonly used model for the potential energy of a diatomic molecule is the Lennard–Jones(LJ) potential V(r) = ε((r_m/r)¹² − 2(r_m/r)⁶). Using the results of Problem 9.6, find the choice of the parameters rm and ε that gives the same equilibrium separation between atoms and the same harmonic oscillator frequency as the Morse potential. Unlike the Morse potential, the depth of the L J potential is not an independent parameter. What is the relation between the depth D_e, equilibrium separation r_e, and harmonic oscillator frequency ω of the L J potential?