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Chapter 42, Problem 37AP
To determine

The highest vibration quantum number.

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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.
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
If a sodium chloride (NaCl) molecule could undergo an n S n - 1 vibrational transition with no change in rotational quantum number, a photon with wavelength 20.0 mm would be emitted. The mass of a sodium atom is 3.82 * 10-26 kg, and the mass of a chlorine atom is 5.81 * 10-26 kg. Calculate the force constant k′ for the interatomic force in NaCl.
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