1. Magnetic Dipoles and Angular Momenta
Orbital angular momentum of electron
Primitive (wrong) model of the planetary atom
The orbital angular momenta are quantized

2. Magnetic Dipoles and Angular Momenta
Spin angular momentum of the electron
In the center of mass frame there is
a residual angular momentum due to particle spin
The electron has spin 1/2
The total angular momentum is

3. Magnetic Dipoles and Angular Momenta
Spin angular momentum of the proton
In the center of mass frame there is
angular momentum due to proton spin
The proton has spin 1/2
g_p = 2(2.79)
note that proton is composite

4. Magnetic Dipoles and Angular Momenta
Spin angular momentum of the neutron
In the center of mass frame there is
angular momentum due to neutron spin
The neutron has spin 1/2
g_n = 2(-1.91); note that neutron is electrically
neutral, but is also a composite particle

5. Magnetic Dipoles and Angular Momenta
Nuclear Angular Momentum
In the center of mass frame the total nuclear
angular momentum is quantized
e.g. 3He has I=1/2 and g=2(-2.13)
16O* has I=3 and g=2(1.66)
*=excited state

6. Magnetic Dipoles and Angular Momenta
Bohr Magneton
Nuclear Magneton
g-factors
Larmor Frequency