hw4 - Chem 110A Homework Week 4 Due Friday October 23...

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Chem 110A 1 Homework Week 4: Due Friday, October 23 Chemistry 110A — 2009 Professor McCurdy 1. Make the “harmonic approximation” to each of the following diatomic potential energy functions to obtain the corresponding harmonic potential energy function of the form V HO R ( ) = k 2 ( R " R eq ) 2 as illustrated in the figure below. Find expressions for the harmonic force constant k and equilibrium internuclear distance R eq in terms of the parameters of the potential function in each case, and clearly identify them as your answers. (a) Morse Potential (Example 5.2 in McQuarrie and Simon) V Morse ( R ) = D (1 " e " # ( R " R 0 ) ) 2 This potential function is frequently used as an approximation for covalently bonded diatomic molecules. (b) Lennard-Jones Potential V L-J ( R ) = 4 d " R # $ % ( 12 ) R # $ % ( 6 * + , - . / + d . This potential is used for weak attractive interactions between atoms that are not covalently bonded, like Ar 2 . Hint: start by showing that the minimum of the potential function occurs at an internuclear distance of 2 1/6 . 2.
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This note was uploaded on 12/02/2009 for the course CHE 110A taught by Professor Mccurdy during the Spring '09 term at UC Davis.

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hw4 - Chem 110A Homework Week 4 Due Friday October 23...

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