CHEM 001 Lecture Notes - Lecture 9: Azimuthal Quantum Number, Magnetic Quantum Number, Principal Quantum Number
Document Summary
Schrodinger wave equation (3d) can be solved for 1e- atoms (he+, li2+) Wave function nim that is a solution with quantum numbers n, l, m is called an orbital. Principle quantum number (n) determines energy and size (also called shell) Angular momentum quantum number (l) describes the shape. Where l= 0 (s-orbital), l=1 (p-orbital), l=2(d-orbital), l=3 (f-orbital) Magnetic quantum number (m) labels different orbitals of a subshell (orientation) Ex: in a p orbital, px, py, and pz each represent one orbital the above three numbers specify an orbital. Spin magnetic quantum number (ms) describes the direction an electron is spinning in (up or down, remember ?) No two electrons in the same atom has the exact same quantum numbers. Ex: n=2, l=1, ml=-1 represents the first 2p orbital (2px) Multi-electron atoms (aka non-hydrogen) have additional factors that affect electron energy. Negative sign means attraction the more distance from the nucleus, the smaller the value of ep.