(i) Write the general expression for the energy of a harmonic oscillator.
(ii) Calculate the zero-point energy of a harmonic oscillator consisting of a particle of mass 2.33  10-26 kg and force constant 155 N/m.
(iii) Consider a simple harmonic oscillator with mass m and force constant k, and a particle with the same mass in a one-dimensional box of length L.
(a) What is the relationship between k and L such that the zero-point (ground state) energies of these two systems will be the same?
3
(b) If m is equal to the mass of one H-atom, what is the value of k (in N/m)
corresponding to L=1.4 nm?

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i The general expression for the energy of simple harmonic oscillator is E vib v12h classical ... View the full answer