CHEM 120A Study Guide - Midterm Guide: Bohr Magneton, Radial Distribution Function, Electron Rest Mass
Document Summary
Chemistry 120a 2nd midterm: (36 pts) for this question, recall the energy levels of the hydrogenic. En = me z 2e4/22n2 = e0 z 2/n2 , n = 1, 2, 3, where ze is the nuclear charge, me is the electron mass, and e0 = me e4/22 13. 7 ev. The eigenstates of the h-atom are n,l,m(r, , ) = rn,l(r) yl,m( , ). In these states, the eigenvalues of the operators for square orbital an- gular momentum, l2, and for the z-component of angular momentum, Lz, are 2 l(l + 1) and m, respectively. If a hydrogenic atom is subject to a magnetic eld in the z-direction, the additional term in the hamiltonian is emag = + blzb where b = e/2mec is the bohr magneton. Figure 2: radial distribution functions u(r) = rrnl(r) 1: circle those of the following that are true about the 1-electron atom.
