bei48482_FM
Molecules 287 of external forces the linear momentum of the system remains constant, and the oscillations of the bodies therefor ...
288 Chapter Eight This diagram also shows the fine structure in the vibrational levels caused by the simultaneous excitation of ...
Molecules 289 E 0.1915 eV E 0.4527 eV E 0.4656 eV Symmetric bending H H O H H O H H O Symmetric stretching Asymmetric stretching ...
290 Chapter Eight Figure 8.22The normal modes of vibration of the CO 2 molecule and the energy levels of each mode The symmetric ...
Molecules 291 λ Figure 8.23A portion of the band spectrum of PN. Vibration-Rotation Spectra Pure vibrational spectra are observe ...
292 Chapter Eight Representative coordinate Excited state Energy Vibrational transition Ground state Figure 8.24The origin of fl ...
Molecules 293 Singlet excited state Singlet ground state Triplet excited state Vibrational transition Forbidden transition Repre ...
8.3 The H 2 Molecular Ion 8.4 The Hydrogen Molecule The energy needed to detach the electron from a hydrogen atom is 13.6 eV, ...
Exercises 295 tively, though in each case some are in higher states than J 1 or 1.) (b) To justify considering only two degree ...
296 9.1 STATISTICAL DISTRIBUTIONS Three different kinds 9.2 MAXWELL-BOLTZMANN STATISTICS Classical particles such as gas molecul ...
T he branch of physics called statistical mechanicsconsiders how the overall behavior of a system of many particles is related t ...
When a continuous rather than a discrete distribution of energies is involved, g() is replaced by g() d, the number of states ...
Statistical Mechanics 299 fMB()AekT (9.2) The value of Adepends on the number of particles in the system and plays a role h ...
Example 9.2 Obtain a formula for the populations of the rotational states of a rigid diatomic molecule. Solution For such a mole ...
The number of states g(p) dpwith momenta whose magnitudes are between pand pdpis proportional to the volume of a spherical shel ...
From a table of definite integrals we find that 0 xeaxdx Here a 1 kT, and the result is N (kT)^3 ^2 C (9.10) and ...
Distribution of Molecular Speeds The distribution of molecular speeds in an ideal gas can be found from Eq. (9.11) by making the ...
Example 9.3 Verify that the rms speed of an ideal-gas molecule is about 9 percent greater than its average speed. Solution Equat ...
Molecular speeds in a gas vary considerably on either side of p. Figure 9.4 shows the distribution of speeds in oxygen at 73 K ...
description and obey Maxwell-Boltzmann statistics. If the wave functions do overlap appreciably, the situation changes because t ...
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