PS5-08 - Chem 442B Homework Set #5 DUE: Tuesday, November...

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Unformatted text preview: Chem 442B Homework Set #5 DUE: Tuesday, November 11, 2008 1) Determine the total probability that a harmonic oscillator in the first excited state is in the classically forbidden region. Hints: In this case xm ≠ 1/ β . First figure out xm in terms of β . Set up your integral and notice it is an even function. Let y = β x . Then, use the results of the following integral: 2)a) b) 3)a) b) 4) 5) a) b) c) d) ∫ 3 0 y 2 e − y dy = 0.393657 . 2 McQ&S 5-34 Calculate the line spacing for the two isotopomers: 2H79Br (D79Br) and 3H81Br, assuming no change in the internuclear separation distance (rigid rotor approximation). McQ&S 5-35 Determine the J=2 to J=3 transition frequency for 13C18O in the rigid rotor approximation. McQ&S 6-45 From the attached spectrum and tabular data of 1H35Cl, determine the following: The rotational constant for the gas in cm-1. The interatomic distance in Å. The temperature of the gas. The Jmax in the population distribution for 2H37Cl for the temperature found in part c. Problem Set #5 -1- Transitions Transitions of HCl 4.5 4 3.5 Intensity of transition 3 2.5 2 1.5 1 0.5 0 0 50 100 150 Frequency in cm-1 Problem Set #5 -2Frequency Intensity 21 1 42 2.751872 63 3.859143 84 4.170035 105 3.795876 126 3.012985 147 2.121238 168 1.337476 189 0.7598 210 0.390451 231 0.182013 252 0.077123 273 0.02975 297 0.010459 315 0.003355 336 0.000982 357 0.000263 379 6.42E-05 399 1.44E-05 420 2.93E-06 200 250 300 ...
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PS5-08 - Chem 442B Homework Set #5 DUE: Tuesday, November...

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