The Morse Oscillator©
Kevin Lehmann
Department of Chemistry
Princeton University
Princeton, NJ 08544
United States
mail to: Lehmann@princeton.edu



Abstract
This document is the fourth third in a series written by K. Lehmann. In this worksheet, we find a presentation of the vibrational motion of a diatomic molecule held together with a potential function of a special form known as the Morse Potential. Both the classical and quantum motion of the oscillator will be studied, and explicit expressions for eigenenergies and wavefunctions are given. The effect of rotation is also discussed. The document contains embedded 20 exercises and 4 advanced problems for users to test their mastery of the topic. The document is suitable for advanced undergraduates and graduate students. This document requires Mathcad v11 or higher.
Keywords
Audiences: Upper-Division Undergraduate, Graduate Education / Research
Pedagogies: Computer-Based Learning
Domains: Analytical Chemistry, Laboratory Instruction, Physical Chemistry
Topics: Mathematics / Symbolic Mathematics, Spectroscopy
Documents
File NameDescriptionSoftware TypeSoftware Version
Morse_Oscillator11.mcd Computational Document Mathcad 11
Morse_Oscillator11.pdf Read-Only Document
Comments to: Kevin Lehmann at Lehman@princeton.edu.
©Copyright Kevin Lehmann, 1997. All rights reserved. You are welcome to use this document in your own classes but commercial use is not allowed without the permission of the author.