Summary answers to standard class problems
2. (a) 14.1 MeV
4. only 3p 2P3/2 exists
5. (a) parallel; antiparallel. (b) higher.
6. 3.3GHz
7. silicon (Z=14) or phosphorus (Z=15)
10. Na ground configuration 1s22s22p63s. Quantum defect 1.37
11. series limit 241nm; 3p quantum defect 0.88; 3s-4p wavelength estimated to be 332nm; using additional details, a better estimate is 330nm.
13. terms and levels: 4s2 1S0, 4s4p 1P1, 4s4p 3P0,1,2, 4s5s 1S0, 4s5s 3S1
14. levels at 6.23, 5.41, 4.40, 3.94, 3.76, and 0 (x106 m-1)
15. only second transition obeys.
16. levels at 3.331, 3.153, 2.365, 1.531, 1.521, 1.515, and 0 (x106 m-1)
17. F = 11/2 (to minimize measurement errors, use the outermost measurements); J = 2, I = 7/2.
18. L = 0, S = 3/2, J = 3/2; for Paschen-Back effect, B >> 170 T
19. There are 6 components separated by (2/3)eB/4pi me. The middle two are not observed along the field direction. Weak field would be less than (on the order of) 0.1 T.
20. Remember that F = I + J implies MF = MI + MJ. gI is positive. Delta = 109 MHz.
21. Shift is 3/5 of that calculated with a charge shell, as done in notes. Mass shift 673GHz; deuterium has higher frequency transition. For Hg, mass shift is 45MHz. 202Hg has the longer wavelength transition.
22. screening factor for K is 1.5, for LIII 20.
23. voltage 71 keV, wavenlength (Kalpha) 59 keV. Cut-off wavelength is 0.021nm. Minimum kinetic energy of Auger electron is 47 keV.
24. (i) crossed beams. (ii) two-photon. (iii) saturated absorption.
25. radiation width 10MHz. Doppler broadening, reduced by divergence, is 7MHz; interaction time width 10kHz.