By Kenneth Smith

ISBN-10: 1475706413

ISBN-13: 9781475706413

ISBN-10: 147570643X

ISBN-13: 9781475706437

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1 for odd I= v2. The populations of the rotational substates of the vibrational states are indicated by the lengths of the lines specifying the rotational states. Dipole transitions of C02 satisfy tJ = ±1, where tJ is the change in rotational quantum number, corresponding to the observed R and P branches of the emission spectrum. The lines are designated P(J) or R (J), where J is the rotational quantum number of the lower Ievel. Sec. 1 Vibrational Kinetics 29 corresponding to the observed R, Q, and P branches of the emtsston spectrum.

7. Sec. 7 Chapter 1 Relaxation Times in Collisions Involving Two Nonresonant Vibrational Modes (s) Let Ea be the internal energy of N molecules of type "a" per unit volume. If a itself represents the fraction of molecules of type a, then aEa will be the internal energy per unit volume of aN molecules. 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.

11), we have the equilibrium energy of the Nz molecule at T, given by E4(T) = Nhv4[exp(hv4/ kT)-1r 1::::::Nhv3[exp(hv3/ kT)-1r 1 =E3(T) Sec. 4 Vibrational Kinetics V-V/ / / / / / V-T{. V-Tf V- T+ I I I Fig. 7. Energy-transfer processes m 33 co2. 1 Ambient T while E3 =E3(T3) = Nhv3[exp(hv3j kT3)-l]- 1 = Nhv4[exp(hv4/ kT3)-lr 1 = E4(T3) When this pair of results is substituted into Eq. 13) is used in Eq. 4. V- V Energy- Transfer Processes among the Three Vibrational Modes of C02, T3 We consider energy transfer between the asymmetric stretching mode, Vt, as shown in Fig.

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