CHEM 214 Study Guide - Final Guide: Diamagnetism, Karplus Equation, Diatomic Molecule
18 Jun 2016
School
Department
Course
Professor
Document Summary
As we increase ml, kinetic energy of particle increases: operator that gives z-component of angular momentum is lz. Both e and l can be 0 in rigid rotor (stationary particle): No zero-point energy as found for 1d box and ho. Wavefunction tells us no information about position of particle in orbit (maximum uncertainty of position). Not an eigenfunction of lz operator (since two components rotate in opposite directions) 50% measurements yield + h(bar)ml (z-l up) and 50% yield h(bar)ml (z-l down) Lecture 15: 3d qm rotor: 3d rotation of diatomic molecule is equivalent to a particle of mass u restricted to motion on the surface of a sphere. Some of angular momentum must lie in the x-y plane, but cannot know in which direction = represented as l lying anywhere on surface of a cone. When ml = 0 and l > 0, angular momentum vector lies somewhere in x- y plane (lz does not commute with lx or ly)
