The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final answer must be a numerical value). Hints: use the mass of a single hydrogen atom in kilograms and use the frequency, v, in s. 1. ao 2. a 3. az 4. as 5. Normalization constant for wo(x). 6. Normalization constant for w₁(x). 7. Normalization constant for w₂(x). 8. Normalization constant for ws(x).

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...
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The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming
this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final
answer must be a numerical value). Hints: use the mass of a single hydrogen atom in
kilograms and use the frequency, v, in s.
1. ao
2. a
3. az
4. as
5. Normalization constant for wo(x).
6. Normalization constant for w₁(x).
7. Normalization constant for w₂(x).
8. Normalization constant for ws(x).
Transcribed Image Text:The acidic hydrogen in benzoic acid is IR active at 3573 cm 1. Assuming this hydrogen behaves as a quantum harmonic oscillator, calculate the following (your final answer must be a numerical value). Hints: use the mass of a single hydrogen atom in kilograms and use the frequency, v, in s. 1. ao 2. a 3. az 4. as 5. Normalization constant for wo(x). 6. Normalization constant for w₁(x). 7. Normalization constant for w₂(x). 8. Normalization constant for ws(x).
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