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

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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 = î +ĵ +k
and an adjacent C-H bond is at the direction
B=î-Î- R.
results to an angular bond of approximately 109° 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 = 0.8i + 0.85j + 1.05k
B = 1.05i + -0.87j + -0.96k
What is the angle (in degrees) between the bonds based on this new data?
Note: Only 1% of error is permitted for the correct answer.
Transcribed Image Text: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 = î +ĵ +k and an adjacent C-H bond is at the direction B=î-Î- R. results to an angular bond of approximately 109° 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 = 0.8i + 0.85j + 1.05k B = 1.05i + -0.87j + -0.96k What is the angle (in degrees) between the bonds based on this new data? Note: Only 1% of error is permitted for the correct answer.
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