“…The second illustrative case, where thermal equilibrium exists between the populations of the various excited levels, has been discussed in considerable detail by Kroeger and van den Boomgaard (22). If the equilibrium involves a Boltzmann distribution, then the decay of the fluorescence starting from each of our two assumed levels is identical and is given by g171 + g272e -~tkr gl + g2e -'tkr Here gl and g: indicate the statistical weights of the levels 1 and 2 while ~,~ and ~,: indicate the transition probabilities of the fluorescence transitions starting from these levels, e is the energy difference between the two levels.…”