According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.96i + 0.87j + 0.8k B = 0.94i + -0.98j + -1.07k What is the angle (in degrees) between the bonds based on this new data?

According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.96i + 0.87j + 0.8k B = 0.94i + -0.98j + -1.07k What is the angle (in degrees) between the bonds based on this new data?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter11: Molecular Structure

Section: Chapter Questions

Problem 7P

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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-hat + j-hat + k-hat

and an adjacent C-H bond is at the direction

B= i-hat - j-hat - k-hat

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 = 0.96i + 0.87j + 0.8k

B = 0.94i + -0.98j + -1.07k

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

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