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 = 0.85i + 0.87j + 1.04k B = 1.09i + -0.93j + -1.02k 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
Section: Chapter Questions
Problem 10P
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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+k
and an adjacent C-H bond is at the direction
B=1-1-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 = 0.85i + 0.87j + 1.04k
B = 1.09i + -0.93j + -1.02k
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+k and an adjacent C-H bond is at the direction B=1-1-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 = 0.85i + 0.87j + 1.04k B = 1.09i + -0.93j + -1.02k 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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