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, c, and n is the frequency of vibration. The vibration frequency of HCl is approximately 8.85 * 10¹³ s^-1. What minimum energy is required to excite a vibration in HCl? What wavelength of light is required to excite this vibration?

Transcribed Image Text:

En = (n + ½ )hv