For vibrational states, the Boltzmann equation can be
where N0 and N1 are the populations of
the lower and higher energy states, respectively, DE is the energy difference
between the states, k is Boltzmann’s constant, and T is the temperature in
For temperatures of 20°C and 40°C, calculate the ratios of
the intensities of the anti-Stokes and Stokes lines for CCl4 at (a)
218 cm-1 , (b) 459 cm-1 , (c) 790 cm-1 .