# Problem: The energy of a vibrating molecule is quantized much like the energy of an electron in the hydrogen atom. The energy levels of a vibrating molecule are given by the equation En = (n + 1/2)hν, where n is a quantum number with possible values of 1, 2, ..., and ν is the frequency of vibration. The vibration frequency of HCl is approximately 8.85 x 1013 s-18.85; imes ;10^{13} ;{ m{s}}^{ - 1}. Starting with a "stationary" molecule, what minimum energy is required to excite a vibration in HCl?

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The energy of a vibrating molecule is quantized much like the energy of an electron in the hydrogen atom. The energy levels of a vibrating molecule are given by the equation En = (n + 1/2)hν, where n is a quantum number with possible values of 1, 2, ..., and ν is the frequency of vibration. The vibration frequency of HCl is approximately 8.85 x 1013 s-1. Starting with a "stationary" molecule, what minimum energy is required to excite a vibration in HCl?