CHEM 101 Lecture Notes - Lecture 14: Magnetic Quantum Number, Atomic Orbital, Bohr Radius
Document Summary
What began it allthe matter wave equation, i. e. , the time-independent schr odinger wave equation: (cid:18) 2 (cid:19) + v (x, y, z) = e where: V = potential energy = k z e2 r for the hydrogenic atom. and and. = (x, y, z) = matter wave amplitude. E = energy = z 2 ry n2 for the hydrogenic atom. The time-independent schr odinger equation again, using the notation: | |2 = matter wave intensity = probability density (max born). Atomic orbitals (ao), are functions of r, , and spherical polar coordinates not the. The portions are themselves dependent upon the three quantum numbers: n, , m . N, ,m (r, , ) = rn, (r)y ,m ( , ) = rn, (r) ( )eim . Recall the rules for each of the three (3) quantum numbers: n = 1, 2, 3, .
