B6. Consider the HCl molecule, which consists of a hydrogen atom of 1.0 u bound to a chlorine atom of mass 35.0 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of work to increase or decrease this separation by 0.01 nm. a) Calculate the reduced mass of the molecule and derive a simplified expression for the rotational energy of the molecule. Assume the molecule rotates rigidly. b) Determine the molecules "spring constant" and calculate its classical frequency of vibration. " c) Calculate the lowest vibrational energy and the classical amplitude of oscillation corresponding to this energy.. mo-l d) Determine the longest wavelength radiation that the molecule can emit in a pure rotational transition and in a pure vibrational transition.
B6. Consider the HCl molecule, which consists of a hydrogen atom of 1.0 u bound to a chlorine atom of mass 35.0 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of work to increase or decrease this separation by 0.01 nm. a) Calculate the reduced mass of the molecule and derive a simplified expression for the rotational energy of the molecule. Assume the molecule rotates rigidly. b) Determine the molecules "spring constant" and calculate its classical frequency of vibration. " c) Calculate the lowest vibrational energy and the classical amplitude of oscillation corresponding to this energy.. mo-l d) Determine the longest wavelength radiation that the molecule can emit in a pure rotational transition and in a pure vibrational transition.
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Transcribed Image Text:B6.
Consider the HCl molecule, which consists of a hydrogen atom of 1.0 u bound to a chlorine atom of
mass 35.0 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of
work to increase or decrease this separation by 0.01 nm.
a)
Calculate the reduced mass of the molecule and derive a simplified expression for the
rotational energy of the molecule. Assume the molecule rotates rigidly.
b) Determine the molecules "spring constant" and calculate its classical frequency of vibration.
"
c)
Calculate the lowest vibrational energy and the classical amplitude of oscillation
corresponding to this energy..
mo-l
d)
Determine the longest wavelength radiation that the molecule can emit in a pure rotational
transition and in a pure vibrational transition.
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