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+j+k and an adjacent C-H bond is at the direction B=î-j-k. results to an angular bond of approximately 1090 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 = 1.09i + 0.92j + 0.86k B = 1.08i + -1.05j + -1.04k 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.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter42: Molecules And Solids
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Express the answer without rounding off.
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+j+k
and an adjacent C-H bond is at the direction
B=î-j-k.
results to an angular bond of approximately 1090 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 = 1.09i + 0.92j + 0.86k
B = 1.08i + -1.05j + -1.04k
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+j+k and an adjacent C-H bond is at the direction B=î-j-k. results to an angular bond of approximately 1090 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 = 1.09i + 0.92j + 0.86k B = 1.08i + -1.05j + -1.04k 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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