PHYS 275: Hw 8 Solutions
Chapter 9:
5-) Remembering the Aufbau principle,
we see that 113 electrons would require the 7p level with one electron. Thus
Such an element might not exist because the proton-proton electromagnetic repulsion would overcome
the nucleon-nucleon strong interaction. This is because the strong force is about 100 times stronger than
the electromagnetic force but has a limited range of action.
20-) Under a weak magnetic field the state would be split with . Thus to determine
how many states one would get we need to know how many different would occur, which is
states! In a sketch:
21-) Under a strong magnetic field the state would be split with . Thus we
need to determine how many different values would take. For
. Thus, That means 5 levels!
where
27-) Hund’s Rules help us determine the angular momentum quantum numbers of the ground state of
atoms.
(a) For which gives a spin
angular momentum of , thus there will be states for carbon, called triplet states.
