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-hat + j-hat + k-hat and an adjacent C-H bond is at the direction B= i-hat - j-hat - k-hat 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 = 1.09i + 1.06j + 1.02k B = 1.01i + -0.89j + -1.02k 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= i-hat + j-hat + k-hat
and an adjacent C-H bond is at the direction
B= i-hat - j-hat - k-hat
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 = 1.09i + 1.06j + 1.02k
B = 1.01i + -0.89j + -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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