Showing Consistency with Hund's Rules

[Children_of_StMU]

Homework Statement

Show that the ground states for the first three elements in the “neon configuration” (Z=11 to 18) are consistent with Hunds rules.

Homework Equations

From Hyperphysics, the rules are:
1. The term with maximum multiplicity lies lowest in energy
2. For a given multiplicity, the term with the largest value of L lies lowest in in energy.
3. For atoms with less than half-filled shells, the level with the lowest value of J lies lowest in energy.

(in form ^2s+1L_J)

3. The Attempt at a Solution
We know how to use Hund's rules to find the configuration. For the first three elements--Na, Mg, and Al--the configuration is [Ne]2S1/2, [Ne]1S0, and [Ne]2P1/2.

But how do we show consistency? Our best guess is that we find the energies of each element in their ground states and check it with the rules. How do we find energy though? Is it E_n? And if is, do we use the Bohr formula? Or something else?

 

[Children_of_StMU]

My attempted solution was right... I'll just leave this up in case anyone else wanted to know.