Answered: The diatomic molecule can rotate about…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

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