Physics 224   Fall 1998

		Phenomenology 		due 11:00 am Tuesday Oct. 20

PROBLEM SET 3

Oct. 16 Colloquium: ``Nonlinear Dynamics, Parity, and Geometry: The Emergence of Structure in Inhomogeneous Turbulence''
Dr. Leaf Turner, Los Alamos National Laboratory
3 pm, 101 Rowland Hall (formerly PS I)

1.

Eisberg and Resnick: 7.4

2.

Identify the atoms that have the following ground state electronic configurations in their outer shell or shells: (a) $3s^2\;3p^6 \;3d^8\;4s^2$, (b) $4s^2\;4p^4$ (c) $4s^2\;4p^6\;4d^2\;5s^2$ (d) $4s^2\;4p^6\;4d^1\;5s^2$, (e) $4s^2\;4p^6\;4d^{10}\;4f^3$.

3.

Show that the multiplicity of a level, defined as the number of different J-values that can be formed from given L and Svalues, is 2L+1 or 2S+1, whichever is smaller.

4.

What are the values of L, S, and J and the multiplicities of the levels having the following term designations: ¹S₀, ³D₂, ⁴P_5/2, ²F_7/2, ⁶I_13/2?

5.

What types of terms can result from the following values of Land S? (Answer in spectroscopic notation.) (a) L=1, S=1/2(b) L=3, S=1, (c) L=2, S=7/2, (d) L=5, S=3/2. (Partial answer: (a) ²P_1/2, ²P_3/2).

6.

What spectral terms result from an electron configuration $3d\;4f$, assuming LS coupling?

7.

In the transition $^4F_{3/2}\;-\;^10D_{1/2}$, how many lines will appear in the Zeeman pattern? Explain your reasoning by listing the allowed transitions.