ex02 day06 and 07 added_edited

ex02 day06 and 07 added_edited - Walker CH301 Exam02...

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Unformatted text preview: Walker CH301 Exam02 Materials Page 1 of 7 Additional Notes for Quantum W AVEFUNCTIONS , E LECTRON C LOUDS , AND M ORE Viable (allowed) function Function NOT allowed Why is this function allowed? Why not? If we convert the left-hand function into a Psi-squared plot, it will look like: Walker CH301 Exam02 Materials Page 2 of 7 When we treat electrons like waves and use things like sines and cosines to describe them, we can solve the differential Schrodingers equation for the Hydrogen atom and get solutions: Where a is the radius of the Hydrogen atom. Note we use polar coordinates, not Cartesian. (No need to memorize the above) Walker CH301 Exam02 Materials Page 3 of 7 We can then generalize the solutions to match a more familiar setup for electrons in the atom: NOTE: THIS IS FOR H ATOM ONLY!!! ( ONE PROTON , ONE ELECTRON ATOM ) Note: Adding protons to the nucleus pulls the energy levels in (down in diagram). Adding electrons causes the sublevel energies to shift and lose degeneracy. For example, the 2s and 2p sublevels will be at causes the sublevel energies to shift and lose degeneracy....
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This note was uploaded on 11/11/2011 for the course CH 301 taught by Professor Fakhreddine/lyon during the Spring '07 term at University of Texas at Austin.

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ex02 day06 and 07 added_edited - Walker CH301 Exam02...

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