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73) is used. The rates in Eq. 79) are given by Eq. 80) where a 0 is the Bohrradius and a 10 (E) is in units of 7ra~. 83) Relaxation Phenomena in Gases Sec. 84) =E/kT When the cgs units are substituted into the constants appearing in Eq. 85) where T is in °K and Mc is the reduced mass of the collision system expressed in numbers of electron masses. To calculate T from Eq. 79) we need to calculate 'Yo1 as weil. 86) where k~ are defined in Eq. 9) for two vibrational modes. 88) which is a dimensionless equation.
A' after the collision) per unit time per unit volume is given by The expression represents T-V collisions that lead to an increase in the internal energy. A ). < 8 > and neglect all terms except those with p. = 1. Molecules of type a will also change their internal energy during collisions with molecules of type b, whose states will be indexed by I. 92) where we have used k to distinguish a-b collisions from a-a collisions, and where m 1/ N is the fraction of type b molecules in the state I. When p.
The shape of the curve g(v 0 ) depends on two classes of line-broadening mechanisms called homogeneaus (Lorentzian-shape collision broadening) and inhomogeneaus (Gaussian-shape) (see Beesley,c 14 ) page 41). v, is given by (Beesley, 04 ) p. 50) in the notation of Manes and Seguin, provided we multiply the second term on the right-hand side by F, the ratio of the mode volume filled with gain medium to the total mode volume. F is also the "filling factor" obtained experimentally by dividing the Iaser gain-medium length by the opticalcavity length.