Lec 7 MIT 5.111 Principles of Chemical Science, Fall 2005
All right. Today, in particular the second half of the lecture today, we're going to do some of the hardest concepts that we've done so far, and also some of the most important concepts that we've done so far. I just want to give you a heads-up on that. Last time we had we had solved the Schrödinger equation for the binding energies of the electron to the nucleus. And that means if I write the generic Schrödinger equation down here, what we found was what this E was. And we found that it had a nice analytical form, that the allowed binding energies were quantized. They were quantized by that principle quantum number n. And so we can write those allowed energies as E sub n is minus R sub H over n squared. So, n is this principle quantum number. And n runs from 1, 2 all the way up to infinity. Today what we're going to do is we're going to look at the solutions to the Schrödinger equation for this, for the wave function, for the wave. And remember we ...