Pchem 2 Chapter 7 The Hydrogen Atom

344, 345, 346

Square of total angular momentum

two parts

Stern and Gerlach found the quite unexpected result that a beam of silver atoms splits into only ____. Note that this corresponds to 2l + 1 = 2, or to l = 1/ 2.

doublet

under high resolution it was observed that the n = 2 to n = 1 transition in atomic hydrogen is split into two closely spaced lines, called a ____.

two distinct states

Wolfgang Pauli showed that all these observations could be explained with the postulate that an electron can exist in ____.

spin quantum number m(s)

Fourth quantum number. Restricted to two values, +1/2 and -1/2.

angular momentum eigenvalue equation

orbital angular momentum of an electron in a hydrogen atom

spin angular momentum of an electron in a hydrogen atom

spin eigenfunctions

alpha and beta

spin variable

sigma, not a continuous variable

momentums