In a silver atom, the first 46 electrons are all paired and according to David McIntyre in Quantum Mechanics,
The electrons in the closed shells can be represented by a spherically symmetric cloud with no orbital or spin angular momentum.
How do we show that the total orbital angular momentum for a spherically symmetric distribution is zero - using geometry?
furthermore, does this configuration of angular momentum - orbital angular momentum - change if the atoms are subject to an inhomogeneous magnetic field, like in the Stern Gerlach experiment? If not then why?