"Lec 9 - Chladni Figures and One-Electron Atoms" Freshman Organic Chemistry (CHEM 125) After showing how a double-minimum potential generates one-dimensional bonding, Professor McBride moves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equation might have been daunting, but it was not, because the necessary formulas had been worked out more than a century earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate to frequencies. The analogy is pursued by studying the form of wave functions for "hydrogen-like" one-electron atoms. Removing normalizing constants from the formulas for familiar orbitals reveals the underlying simplicity of their shapes. 00:00 - Chapter 1. 1-D Bonding from Double-Minimum Potentials 09:03 - Chapter 2. Addressing Multi-Dimensional Problems: Chladni's Acoustics 22:52 - Chapter 3. Applying Chladni's Nodal Patterns to the Form of One-Electron Atoms 32:05 - Chapter 4. Removing Normalizing Constants to Understand Orbital Shapes Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2008.
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Channels: Chemistry (General)
Tags: Tunneling wave function Chladni figures double well potential
Uploaded by: yalefreshorganic ( Send Message ) on 05-09-2012.
Duration: 49m 36s
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Lec 2 - Force Laws, Lewis Structures and Resonance
Lec 3 - Double Minima, Earnshaw's Theorem and Plum-Puddings
Lec 4 - Coping with Smallness and Scanning Probe Microscopy
Lec 6 - Seeing Bonds by Electron Difference Density
Lec 7 - Quantum Mechanical Kinetic Energy
Lec 8 - One-Dimensional Wave Functions
Lec 10 - Reality and the Orbital Approximation
Lec 11 - Orbital Correction and Plum-Pudding Molecules
Lec 12 - Overlap and Atom-Pair Bonds
Lec 13 - Overlap and Energy-Match
Lec 14 - Checking Hybridization Theory with XH_3
Lec 15 - Chemical Reactivity: SOMO, HOMO, and LUMO
Lec 16 - Recognizing Functional Groups
Lec 17 - Reaction Analogies and Carbonyl Reactivity
Lec 18 - Amide, Carboxylic Acid and Alkyl Lithium
Lec 19 - Oxygen and the Chemical Revolution (Beginning to 1789)
Lec 20 - Rise of the Atomic Theory (1790-1805)
Lec 21 - Berzelius to Liebig and Wöhler (1805-1832)
Lec 22 - Radical and Type Theories (1832-1850)
Lec 23 - Valence Theory and Constitutional Structure (1858)
Lec 24 - Determining Chemical Structure by Isomer Counting (1869)
Lec 25 - Models in 3D Space (1869-1877); Optical Isomers
Lec 26 - Van't Hoff's Tetrahedral Carbon and Chirality
Lec 27 - Communicating Molecular Structure in Diagrams and Words
Lec 28 - Stereochemical Nomenclature; Racemization and Resolution
Lec 29 - Preparing Single Enantiomers and the Mechanism of Optical Rotation
Lec 30 - Esomeprazole as an Example of Drug Testing and Usage
Lec 31 - Preparing Single Enantiomers and Conformational Energy
Lec 32 - Stereotopicity and Baeyer Strain Theory
Lec 33 - Conformational Energy and Molecular Mechanics
Lec 34 - Sharpless Oxidation Catalysts and the Conformation of Cycloalkanes
Lec 35 - Understanding Molecular Structure and Energy through Standard Bonds
Lec 36 - Bond Energies, the Boltzmann Factor and Entropy
Lec Last - Potential Energy Surfaces, Transition State Theory and Reaction Mechanism