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 +R and an adjacent C-H bond is at the direction B=î-ĵ-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 = 1i + 0.86j + 1.09k B = 1.06i + -0.96j + -1.08k What is the angle (in degrees) between the bonds based on this new data?

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 +R and an adjacent C-H bond is at the direction B=î-ĵ-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 = 1i + 0.86j + 1.09k B = 1.06i + -0.96j + -1.08k What is the angle (in degrees) between the bonds based on this new data?

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=i+j+k and an adjacent C-H bond is at the direction B=i-j-k results to an angular bond of approximately 109o 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 = 1.06i + 0.98j + 0.9k B = 0.83i + -0.81j + -0.87k 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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