0198506961.pdf
106 Hyperfine structure and isotope shift ∆ ̃νMass=ν ̃A′′− ̃νA′= ̃ν∞ 1+me/A′′Mp − ̃ν∞ 1+me/A′Mp ν ̃∞ { 1 − me A′′Mp − ( 1 − me ...
6.2 Isotope shift 107 Reduced mass shift (visible line) Volume shift Doppler width Energy (eV) 1 10 100 1 10 102 10 −^1 10 −^2 1 ...
108 Hyperfine structure and isotope shift of a nucleus as rN 1. 2 ×A^1 /^3 fm. (6.25) Using this equation and making the same a ...
6.3 Zeeman effect and hyperfine structure 109 sum of the electronic and nuclear moments (cf. eqn 5.9): μatom=−gJμBJ+gIμNI−gJμBJ ...
110 Hyperfine structure and isotope shift Fig. 6.9The projection of the contri- butions to the magnetic moment from the atomic e ...
6.3 Zeeman effect and hyperfine structure 111 good quantum number andJprecesses aboutB.^27 The effect of the hy-^27 The nuclear ...
112 Hyperfine structure and isotope shift The energies are measured from the point midway between the hyperfine (^30) Any choice ...
6.4 Measurement of hyperfine structure 113 Even isotopes (no HFS) Lines from even isotopes 0 10 20 30 Transmitted intensity Freq ...
114 Hyperfine structure and isotope shift we consider the Doppler width ∆fDof a line of wavelengthλ: ∆fD 2 u λ , (6.38) whereui ...
6.4 Measurement of hyperfine structure 115 Beam source Collimator Atoms deposited in two places Magnet Fig. 6.13In the original ...
116 Hyperfine structure and isotope shift A magnet B magnet D Detector Oven Polarizer Interaction region Source Analyser of atom ...
6.4 Measurement of hyperfine structure 117 atomic-beam experiment are as follows. Atoms emerge from an oven to form an atomic b ...
118 Hyperfine structure and isotope shift Fig. 6.16The method of magnetic res- onance in an atomic beam detects tran- sitions th ...
6.4 Measurement of hyperfine structure 119 wherevbeamis the typical velocity in the beam andlis the length of the interaction re ...
120 Hyperfine structure and isotope shift Exercises (6.1)The magnetic field in fine and hyperfine structure Calculate the magnet ...
Exercises for Chapter 6 121 (6.5)Interval for hyperfine structure (a) Show that an interaction of the formAI·J leads to an inter ...
122 Hyperfine structure and isotope shift (e) Define what is meant by a ‘strong field’ when considering hyperfine structure. Giv ...
The interaction of atoms with radiation 7 7.1 Setting up the equations 123 7.2 The EinsteinB coefficients 126 7.3 Interaction wi ...
124 The interaction of atoms with radiation functions ofH 0 ; the unperturbed eigenvalues and eigenfunctions ofH 0 are just the ...
7.1 Setting up the equations 125 Ω= eX 12 |E 0 | , (7.12) where X 12 =〈 1 |x| 2 〉. (7.13) To solve the coupled differential eq ...
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