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Chem126, Fall 2012 Final exam practice for Chem126 Professor J. Kim Final exam from previous Chem126 (will be discussed at review session) There were...

First problem with selection rules, any help appreciated
Chem126, Fall 2012 Final exam practice for Chem126 Professor J.E. Kim 1 Final exam from previous Chem126 (will be discussed at review session) There were nine problems on the original exam – for this practice exam, I removed one problem that we did not cover in our class, so there are eight problems here. Additionally, I crossed out a few parts that are not relevant to our quarter. Keep in mind that we used a different book last year (Atkins), so the notation and language in this practice exam may be slightly different from Engel and Reid.
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Chem126, Fall 2012 Final exam practice for Chem126 Professor J.E. Kim 2 1. Selection rules. Show that a vibrational transition associated with infrared absorption for a harmonic oscillator is subject to the following selection rules: there must be a change in dipole moment during vibration, and that the vibrational quantum number can only change by a value of one. In other words: ࢊࣆ ࢊ࢞ ്૙ and ∆࢜ ൌ േ૚ Hint: The dipole moment operator varies with internuclear separation. Therefore, you can write the dipole moment operator as the first two terms of an expansion about the equilibrium nuclear separation: ෝሺ࢞ሻ ൌ ࣆ ൅ቀ ࢊࣆ ࢊ࢞ Start with: ߤ ௙௜ ൌ ׬ ߖ ߤ̂ߖ ݀߬
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This question was asked on Dec 13, 2012.

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