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Atomic physics of sodium. In the sodium atom, there is a transition between the

ID: 1392180 • Letter: A

Question

Atomic physics of sodium. In the sodium atom, there is a transition between the 3s and 3p atomic states that produces the yellow-orange light seen in many street lamps.

a.) Sodium has 11 protons and 11 electrons with ten of the electrons filling the n = 1 and n = 2 levels. Including interactions between the outer electron and the electrons in the underlying shells, should the 3s or the 3p energy level have the highest energy? Use properties of the hydrogen wave functions.

b.) What are the possible total angular momentum values associated with the 3S and 3P energy levels?

c.) Draw an energy level diagram that shows how the energies of the levels with total angular momentum j ? l ? s that come from the 3S and 3P levels are affected by the spin-orbit

splitting. Also show how each of the these levels are affected by the presence of an external magnetic field

d.) Which of the n =3 levels can be reached from the 4s level by emission of a photon? and why

Explanation / Answer

Part A:-
3p energy level have the highest energy because P shell is in higher energy state then S when angular momentum of both in their respective shell is same.

Part-B:-
With 3S energy level, possible angular momentum value is l=0 and With 3P energy level,it is l= 1. (Here angular momentum is nothing but Azimunthal Quantum Number)

Part-D:- 3P (follow the Hund's rule)