In vibrational spectroscopy, the fundamental band refers to a transition from the n = 0 stateto n = 1, and the first overtone would be from the n = 0 state to n = 2. For carbon monoxide(CO), the fundamental occurs at 2143.4 cm-¹ and the first overtone at 4259.6 cm-¹.(a) For an anharmonic oscillator, the energy levels can be written (in wavenumbers) as2En ) ²³= ve (n + ¹) - xeve (n +.+Find the values of ve and xeve from the fundamental and overtone transitions in CO.Report your results in units of cm-¹.(b) Use the values found for ve and xeve in part (a) to estimate the number of boundenergy levels in CO. (Hint: For an anharmonic oscillator this number is determined bythe point at which the spacing between consecutive levels goes to zero.)(c) If CO could be modeled as a Morse oscillator, and the values of ve and xeve provideenergy levels consistent with the Morse potential what would be the value of theparameter D in units of cm-¹? How does this compare with the observed bond energy of1075 kJ/mole?

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