Question

ie (a) Beginning with 11 dV derive the following equation for the spin-orbit energy shift where nd Eonh 2Eohc As part of the derivation, bonus marks will be given if 1 dV Ze2 can be proven [7 marks] (b) Evaluate the doublet energy splittings for elements in group I of the periodic table and compare with the values presented in the following table. [3 marks] Mathematica is not necessary here, but you may use it Table 1: Spin-orbit splittings Elemen ZTranson AE (THz) Lithium 3 2p-2s 0.01 Sodium 3p 3s 0.51 Potassium 194p 48 1.74 Rubidium 375p 5s 7.1 Ceasium 55 6p 6s 16.6

Answer 1

toe have al uen dha 2 2 Noe, Poten tial ene 2. 2 e <능 r.>_ dv 4eeo.ro a. 1(1tDat) 2e2 23

.Coh ab -This can also be o then as- but be have oven had 2. 2-2 2n hence pros