Question

What is the vibrational frequency of CO2 molecule in cm-1 using infrared spectroscopy with a wavelength of 4.24 µm? (The molecular bond length can be assumed to be 116.3 pm)

Answer 1

To calculate the vibrational frequency of CO2 molecule, we can use the formula for the wavenumber    in cm: = 1/where  is the wavelength in centimeters.First, we need to convert the given wavelength from micrometers  m  to centimeters  cm :4.24 m = 4.24 x 10 m = 4.24 x 10 cmNow, we can calculate the wavenumber   : = 1/ 4.24 x 10 cm  = 2358.49 cmSo, the vibrational frequency of CO2 molecule using infrared spectroscopy with a wavelength of 4.24 m is approximately 2358.49 cm.