The diatomic molecule can rotate about the x and z axes. Rotational J energy 6 - 21 E 15 E The energies of allowed states can CM 4 10E be calculated using Figure 42.5 Rotation of a Equation 42.6. diatomic molecule around its cen- - 6 Ej ter of mass. (a) A diatomic mole- cule oriented along the y axis. (b) Allowed rotational energies of a diatomic molecule expressed as multiples of E, = h²/I. 3E E E, = 0 b ENERGY

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter11: Molecular Structure
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Most of the mass of an atom is in its nucleus. Model the mass distribution in a diatomic molecule as two spheres of uniform density, each of radius 2.00 x 10-15 m and mass 1.00 x 10-26 kg, located at points along the y axis as in 42.5a, and separated by 2.00 x 10-10 m. Rotation about the axis joining the nuclei in the diatomic molecule is ordinarily ignored because the first excited state would have an energy that is too high to access. To see why, calculate the ratio of the energy of the first excited state for rotation about the y axis to the energy of the first excited state for rotation about the x axis.

The diatomic molecule
can rotate about the x
and z axes.
Rotational
J
energy
6
- 21 E
15 E
The energies of
allowed states can
CM
4
10E
be calculated using
Figure 42.5 Rotation of a
Equation 42.6.
diatomic molecule around its cen-
- 6 Ej
ter of mass. (a) A diatomic mole-
cule oriented along the y axis. (b)
Allowed rotational energies of a
diatomic molecule expressed as
multiples of E, = h²/I.
3E
E
E, = 0
b
ENERGY
Transcribed Image Text:The diatomic molecule can rotate about the x and z axes. Rotational J energy 6 - 21 E 15 E The energies of allowed states can CM 4 10E be calculated using Figure 42.5 Rotation of a Equation 42.6. diatomic molecule around its cen- - 6 Ej ter of mass. (a) A diatomic mole- cule oriented along the y axis. (b) Allowed rotational energies of a diatomic molecule expressed as multiples of E, = h²/I. 3E E E, = 0 b ENERGY
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