Open Yale CoursesCHEM 125: Freshman Organic ChemistryLecture 9 - Chladni Figures and One-Electron Atoms<< previous session | next session >>Overview:After showing how a double-minimum potential generates one-dimensional bonding, Professor McBridemoves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equationmight have been daunting, but it was not, because the necessary formulas had been worked out more than acentury earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate tofrequencies. The analogy is pursued by studying the form of wave functions for "hydrogen-like" one-electronatoms. Removing normalizing constants from the formulas for familiar orbitals reveals the underlyingsimplicity of their shapes.Problem sets/Reading assignment:Reading assignments, problem sets, PowerPoint presentations, and other resources for this lecture can beaccessed from Professor McBride's on-campus course website, which was developed for his Fall 2008
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