The energy of a vibrating molecule is quantized much like

Chapter 7, Problem 94E

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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

where n is a quantum number with possible values of 1, 2, ... , and v is the frequency of vibration. The vibration frequency of HCl is approximately 8.85 x 1013 s-1 . What minimum energy is required to excite a vibration in HCl? What wavelength of light is required to excite this vibration?

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