CHEM 4502 Lecture Notes - Lecture 19: Principal Quantum Number, Wave Function, Atomic Orbital
Document Summary
Angular momentum: the big picture: total angular p = quantized. Takes on values of where l = integer (qunatum #) where ml is an integer (another quantum number). Solution to angular part of wavefunction gave us 2 quantum #s, l and m l. We still need to solve for radial part of wavefunction, as well as learn about the energies we need 3 quantum #s since we"re working in 3d we might get different radial function depending on angular (l) wavefunction. Fast forward through math and we get another quantum # and the energy dependence! For any hydrogenic atom orbital: n and l are related n = 1,2, where n = 1,2, Radial wavefunctions are in class of functions given by: Radial probability density don"t count origin as a node. 2s orbital actually has a part that"s closer to nucleus than 1s.