In: Chemistry
The O-H bond in water vibrates at a frequency of 3650cm-1. What wavelength and frequency of light would be required to change the vibrational quantum number from n=0 to n=4 assuming 0-H acts as a Harmonic oscillator?
For a Harmonic oscillator the enery is given by
where n =0,1,2............. and is the frequency which is given by
wher k is the spring constant and is the reduced mass given by
where are the atomic masses.
Here wavenumber is given as 3650 cm-1 for the O-H bond.
The energy difference between n = 0, n = 4
h = 6.62 * 10-34 Kg m2/s
is the frequency required for this transition.
= 43932 * 106 Hz