Materials in Electronics/Confined Particles

Schrödinger's Equation can be used to find the electron distributions in a range of situations. The easiest to solve, theoretically, is the potential well. This is a region of space with a lower potential than neigbouring regions. The simplest case is where the well is infinitely deep, so electrons cannot ever escape. This is the Infinite Potential Well: /1D Infinite Wells/ /2D Infinite Wells/ /3D Infinite Wells/ If you add more electrons to the box, the states are filled according to the Aufbau Principle: ../The Aufbau Principle/ However, infinte wells don't exist and are just a convenient approximation. In real life, we deal with Finite Wells: 1D Finite Potential Wells