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86 TheLS-coupling scheme Fig. 5.8Thejj-coupling scheme. The spin–orbit interaction energy is large compared to theEre.(Cf.Fig.5. ...
5.3 Intermediate coupling: the transition between coupling schemes 87 − 1 − 2 − 3 − 4 − 5 − 6 − 7 − 8 − 9 − 10 − 11 0 H He Mg Hg ...
88 TheLS-coupling scheme the fine structure is much smaller than the energy separation (Ere∼ 1. 3 × 106 m−^1 ) between the^3 Pte ...
5.3 Intermediate coupling: the transition between coupling schemes 89 Example 5.2 The1s2pconfigurationinhelium JE(m−^1 ) 2 16 90 ...
90 TheLS-coupling scheme 5.4 Selection rules in theLS-coupling scheme Table 5.1 gives the selection rules for electric dipole tr ...
5.5 The Zeeman effect 91 levels of the terms in theLS-coupling scheme. In the vector model we project the magnetic moment ontoJ( ...
92 TheLS-coupling scheme Fig. 5.12The normal Zeeman effect on the 1s2p^1 P 1 –1s3d^1 D 2 line in he- lium. These levels split in ...
5.6 Summary 93 B S L Fig. 5.14The Paschen–Back effect oc- curs in a strong external magnetic field. The spin and orbital angular ...
94 TheLS-coupling scheme is not small compared to the energy gap between the configurat- ions—this is common in atoms with compl ...
Exercises for Chapter 5 95 theLS-coupling scheme describes this atom. Show the electric dipole transitions that are allowed be- ...
96 TheLS-coupling scheme scheme. Give a physical justification for three of these rules. Which of the following are allowed for ...
Hyperfine structure and isotope shift 6 6.1 Hyperfine structure 97 6.2 Isotope shift 105 6.3 Zeeman effect and hyperfine structu ...
98 Hyperfine structure and isotope shift Fig. 6.1(a) An illustration of a nu- cleus with spinIsurrounded by the spherically-symm ...
6.1 Hyperfine structure 99 Fig. 6.2(a) The probability density|ψ(r)|^2 of an s-electron at small distances (r a 0 ) is almost c ...
100 Hyperfine structure and isotope shift The proton has ag-factor ofgI=5.6, so forn=1=Zwe have ∆EHFS h =1.42 GHz. This is very ...
6.1 Hyperfine structure 101 population inversion in the bulb, i.e. the population inF= 1 exceeds that inF = 0; this gives more s ...
102 Hyperfine structure and isotope shift Table 6.1Comparison of fine and hyperfine structures. Fine structure in the Hyperfine ...
6.1 Hyperfine structure 103 Na,Z=11 Cs,Z=55 E(3p^2 P 3 / 2 )−E(3p^2 P 1 / 2 ), E(6p^2 P 3 / 2 )−E(6p^2 P 1 / 2 ), ∆fFS= 510 GHz ...
104 Hyperfine structure and isotope shift isotopes of the same element have different hyperfine splittings because the magnetic ...
6.2 Isotope shift 105 Column II in this table gives the positions of the peaks^15 measured^15 Thehighestpeakinthecaseofthe from ...
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