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

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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 " .
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern