Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 42, Problem 37AP
To determine
The highest vibration quantum number.
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Students have asked these similar questions
A diatomic molecule begins in the vibration-rotation state characterized by n = 1, J = 7. It then absorbs a photon of light to make a R-branch
transition. Which of the following represents a possible final state for this molecule?
On=0,J = 7
n=2, J = 7
n = 1, J = 8
On=2, J = 8
n = 1, J = 6
n = 2, J = 6
The hydrogen molecule comes apart (dissociates) when it is excited internally by 4.5
eV. If this molecule behaves exactly like a harmonic oscillator with classical frequency
f=8.277-10¹4 rad/s, find the vibrational quantum number corresponding to its 4.5-eV
dissociation energy. Constants: h = 6.626-10-34 [J-s], ħ=h/2π, and w=f. 2π.
In vibrational spectroscopy, the fundamental band refers to a transition from the n = 0 state
to n = 1, and the first overtone would be from the n = 0 state to n = 2. For carbon monoxide
(CO), the fundamental occurs at 2143.4 cm-¹ and the first overtone at 4259.6 cm-¹.
(a) For an anharmonic oscillator, the energy levels can be written (in wavenumbers) as
2
En ) ²³
= ve (n + ¹) - xeve (n +.
+
Find the values of ve and xeve from the fundamental and overtone transitions in CO.
Report your results in units of cm-¹.
(b) Use the values found for ve and xeve in part (a) to estimate the number of bound
energy levels in CO. (Hint: For an anharmonic oscillator this number is determined by
the point at which the spacing between consecutive levels goes to zero.)
(c) If CO could be modeled as a Morse oscillator, and the values of ve and xeve provide
energy levels consistent with the Morse potential what would be the value of the
parameter D in units of cm-¹? How does this compare with the observed…
Chapter 42 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 42.1 - For each of the following atoms or molecules,...Ch. 42.2 - Prob. 42.2QQCh. 42.2 - Prob. 42.3QQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - The photon frequency that would be absorbed by the...Ch. 42 - Prob. 8P
Ch. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - (a) In an HCl molecule, take the Cl atom to be the...Ch. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 19PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 35PCh. 42 - Prob. 36APCh. 42 - Prob. 37APCh. 42 - Prob. 39APCh. 42 - Prob. 40APCh. 42 - As an alternative to Equation 42.1, another useful...
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