Assuming that we can model the potential energy of the bond between two hydrogen atoms with the Lennard–Jones potential,

what values do you find for A and B, given the experimentally determined values of the depth of the potential minimum ΔE = 4.7 eV, and the mean interatomic distance x₀ = 0.74 Å? Approximating the potential energy as a parabola centered at the displacement x₀, what is the value of the force constant? What natural frequency ω₀ = √K/m does this imply for the vibration of two hydrogen atoms?

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U(R) = Ar ¹2 – Br−6, -12 - (3.1.2)