# Absorption spectrum

The 12C16O absorbs in the infrared region of the spectrum at 2145 cm^-1. Calculate the position of the absorption of 13C16O.

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#### Solution Preview

See the attached file.

The vibrational frequency of a bond is determined by the bond strength and the masses of the atoms involved, and this frequency is often unchanged (or nearly unchanged) by other atoms connected to the original group. Using the mathematical model of a harmonic oscillator, the quantized absorption of infrared radiation can be expressed as: v = 1/(2PIc) SQRT(k/u)

v is the reciprocal wavelength of the bond vibration

c is the velocity of light, k is the force constant ...

#### Solution Summary

This solution is provided in 426 words. An attached .doc file is provided for better formatting. It uses reduced mass and isotope relation equations to find the position of absorption.