Lecture Materials for CHM4412 (Brucat) Quantum Mechanics and Spectroscopy)

Quantum Mechanics and Spectroscopy
Lecture Summary

Quantum Mechanics: Formalism and Simple Examples

Mechanical Nomenclature

Page 1

Simple Harmonic Motion

An Introduction to the Wave Mechanics of Massive Particles

A Philosophical Introduction and Look Ahead

Quantum Operators

Bound Motion in QM: The Particle in a Box

perturbed particle in a box

The Time Dependent Schroedinger Equation and <x> in the Particle in a Box
more...
Review of Nomenclature

Time Dependence and Superposition of Stationary States

In General

Specific Example (PiB)

The Simple Harmonic Oscillator (SHO)

QM in Three Dimensions: Spacial Degeneracy and the 3-D SHO

Exam #1

Quantum Mechanics: Modern Methods and Techniques

QM without Differential Equations: The SHO via an Operator Algebra Method

The Hydrogen Atom: Bohr Theory

Spherical Solutions to the Schroedinger's Equation for a One-Electron Atom

Rigid Rotation in 2 and 3 Dimensions:Spherical Harmonics (old school)

The Complete Hydrogen Atom (again, the old way)

2p, 3p Atomic Orbitals

An Atomic Orbital Viewer (and more)

Approximate Methods in QM (the grim reality)

A Quick Review using an old Exam

The Many Electron Atom (approximately, of course)

Exam #2

Quantum Chemistry: Electron Delocalization and the Covalent Bond

Term Symbols of Many Electron Atoms

Energy levels of the Carbon, Nitrogen, and Oxygen (neutral) atoms

courtesy of the NIST and your taxpayer dollars The method for assigning Terms to a Configuration

A One Electron Molecule?? H₂⁺

The Simplest Real Molecule H₂

Homonclear Diatomic Molecules

What we told you about MO's as a freshman

Heteronuclear Diatomic Molecules and Electronegativity

A Note on Hybrid Orbitals

Classification of Molecular Symmetry

An Introduction to Groups

Group Theory and Quantum Mechanics

Exam #3

Spectroscopy: The Colors of Matter

The Interaction of Light with Matter: Resonance

Separation of Molecular Motion by Timescale. Observing Rotation: a First Look

Optical Absorption via Electronic Transition

The Vibrational Structure of an Electronic Transition

Rotational Band Structure (the simple kind)

Lasers in Spectroscopy

An Intro to Magnetic Resonance

Exam #4

Cumulative Final Exam (see syllabus)

PJ Brucat // University of Florida