Chapter 13: Spectroscopy 
InfraRed (IR) Spectroscopy
Hookes' Law  

To help understand IR, it is useful to compare a vibrating bond to the
physical model of a vibrating spring system. The spring system can
be described by Hooke's Law, as shown in the equation given on the left.
Consider a bond and the connected atoms to be a spring with two masses attached. Using the force constant k (which reflects the stiffness of the spring) and the two masses m_{1} and m_{2}, then the equation indicates how the frequency, u, of the absorption should change as the properties of the system change. 
Consider the following trends:
1. for a stronger bond (larger k value), u increases.
As examples of this, in order of increasing bond strength compare:
CC bonds: CC (1000 cm^{1}), C=C (1600 cm^{1}) and C≡C (2200 cm^{1}),
CH bonds: CCH (2900 cm^{1}), C=CH (3100 cm^{1}) and C≡CH (3300 cm^{1}),
(n.b. make sure that you understand the bond strengths order)
2. for heavier atoms attached (larger m value), u decreases.
As examples of this, in order of increasing reduced mass compare:The following diagram reflects some of the trends that can be accounted for using Hookes' Law. It also gives an approximate outline of where specific types of bond stretches may be found.CH (3000 cm^{1})
CC (1000 cm^{1})
CCl (800 cm^{1})
CBr (550 cm^{1})
CI (about 500 cm^{1})
© Dr. Ian Hunt, Department of Chemistry 