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4. Consider a diatomic molecule AB with masses mA =m, mg = 2m. Let the equilibrium distance between the two atoms be a, find center-of-mass coordinates of the molecule.

4. Consider a diatomic molecule AB with masses mA =m, mg = 2m. Let the equilibrium distance between the two atoms be a, find center-of-mass coordinates of the molecule.

College Physics
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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4. Consider a diatomic molecule AB with masses ma =m, mg =2m. Let the equilibrium distance between the two atoms be a, find center-of-mass coordinates of the molecule. Assuming that the potential energy of the molecule can be approximated by V(r,, r2) = 5(Iri - r2|- a), where ri and r2 denote particle positions at time t, set-up the matrix equation to compute the normal modes of vibration. Compute the normal mode (correct linear combination) and the frequencies.
Transcribed Image Text:4. Consider a diatomic molecule AB with masses ma =m, mg =2m. Let the equilibrium distance between the two atoms be a, find center-of-mass coordinates of the molecule. Assuming that the potential energy of the molecule can be approximated by V(r,, r2) = 5(Iri - r2|- a), where ri and r2 denote particle positions at time t, set-up the matrix equation to compute the normal modes of vibration. Compute the normal mode (correct linear combination) and the frequencies.
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