CHEM 111 Lecture Notes - Lecture 10: Fluorescence, Quantum Number, Morphism Of Algebraic Varieties
25 Aug 2016
School
Department
Course
Professor
Document Summary
Vitrual photoelectric effect (you can do it now) Schrodingers wave descrition of a particle in free space. E(tot) = e(kin)(t) + e(pot)(t) = p^2/2m + v = e de broglie = p=h/lambda (2pi comes from conversion to radians) 1d hamiltonian is -(weird h)^2/2m x d^2(trident)(x)/dx^2 + v(x) Make v = 0 assumption and solve trident = sin(x) or trident = cos(x) (or any sum of these) weird h = planck"s constant /2pi free space = potential energy is 0. No probability of being at infinite energy so trident = 0. Limits at edges of box to keep function continuous: sin(x) solutions work, cos(x) solutions don"t. Lessons from the paricle in a box trident is just a regular function. Energy nodes n-1 nodes the more nodes, the higher the energy. Narrow box - high energy and farther apart, wider box - lower energy and closer together. A sin kx + b cos kx d^2trident / dx^2 = -k^2trident.
