Discussion Fr 15.7.2005  10:30 - 11:15 am lecture hall SN 20.2

Problem Set 12   (ground state, excited states, term symbols, transition strength)
 

Problem 1

The electronical ground state configuration of mercury is [Xe](4f¹⁴)(5d¹⁰)(6s²). What is the term symbol of the ground state?
What term symbols are possible when a 6s electron is promoted to a 6p state ?
What term symbols are possible when a 5d electron is promoted to a 6p state ?
Which transitions are allowed?
 

Problem 2

The electron configuration of Ytterbium in the ground state is [Xe] (4f)¹⁴(6s)². What term symbols are possible when a 4f electron is promoted to a 5d state: [Xe] (4f)¹³(6s)²(5d)?
Sort the resulting states in an energetic order assuming that (besides Hund's rules) the term with the highest orbital angular momentum has the lowest energy.

Problem 3

You measure the extinction of a molecule e [litre mol^-1cm^-1] in the visible range and observe ε= 20000dm³ mol^-1cm^-1 in the maximum of the absorption at 600 nm. The width of absorption is 24 nm.

1. Determine the differential cross section s(n).
2. Determine the integral cross section  σ_o = òsdn .   For simplicity assume that the integral is given by "width" * "high" of the absorption.
3. Determine the oscillator strength f of the transition.
4. Determine |R_nm|.

Problem 4

Two equivalent d electrons form the ground state of Ti, (3d)². What term values are possible under consideration of the Pauli principle (use the table in the script). Which terms become possible, when the states are formed with a 3d and a 4d electron (3d)¹(4d)¹?

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