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

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
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Problem 48CP: A smaller disk of radius r and mass m is attached rigidly to the face of a second larger disk of...
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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 + Î +R
and an adjacent C-H bond is at the direction
B=î-7-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 = 1.07i + 0.83j + 0.81k
B = 1.03i + -0.99j + -0.85k
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 + Î +R and an adjacent C-H bond is at the direction B=î-7-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 = 1.07i + 0.83j + 0.81k B = 1.03i + -0.99j + -0.85k 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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