Comparison of Models for Correlation of Total Band Absorption

Use of the Goody model for spectral absorptivity is made to construct band models by assignment of intensity-to-line-spacing and line-width-to-spacing ratios vs wavenumber. The vibrating rigid rotator and the vibrating nonrigid rotator are employed to obtain spectral variations of the Goody parameters. An arbitrary assignment of spectral variation of the parameters is also made. The course of total band absorption vs mass path length and pressure is then obtained for each so-constructed model by integration over wavenumber. Asymptotic relations for the total band absorption vs mass path length and pressure obtained from each model are compared. Linear, square root, square root logarithmic, and logarithmic relations are found. Results of numerical calculations are also presented for comparison.