Answered: According to a new spectroscopy…

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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Question

In the methane molecule, CH₄, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of

A=I hut + J hut + K hut

and an adjacent C-H bond is at the direction

B=I hut - J hut - K hut

results to an angular bond of approximately 109^o for a static frozen molecule.

However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be

A = 0.93i + 0.91j + 1.09k

B = 1.02i + -0.99j + -1.08k

What is the angle (in degrees) between the bonds based on this new data?

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