Chapter 11
Hyperfine Structure

Introduction (Sect. 11.1)

Summary of contributions
Michelson's Ryerson speech
Michelson's Nobel lecture

Isotopic Blends

Structure of the nucleon
Finite size of the nucleus
Perturbative correction
1s level (exact to 1st order)
Approximate solution
Isotope shifts
Nuclear Penetration

Magnetic dipole contribution (Sect. 11.2)

Link to background material
Magnetic dipole interaction
Magnetic field
Vector algebra
Pauli spin matrices
Commutation rules
Stretch and jacknife

Fermi contact term

QM and EBK
Darwin term
Magnetized sphere

Example: Hydrogenic 21 cm radiation (Sect. 11.2.2)

Improved calculation
Transition rate
FWHM and temperature
Doppler width of 21 cm line

Schmidt model of the magnetic dipole moment

Independent particle model
Spin-orbit coupling
Stretch and jacknife states
Dirac moment g-factors
Data plot for odd-even
Data plot for even-odd

Quadrupole moment contribution (Sect. 11.3)

Electric quadrupole moment
QM formulation
Quadrupole moments
Data tabulation (pdf)

Spectroscopic calculations (Sect. 11.4)

General expression
Specific example
Grotrian diagram
Numerical values
Na example
Extracting A and B
Specifying expectation values

External fields

Magnetic moment
External magnetic fields


Laser excitation
Fabry-Perot detection

Hyperfine induced decays (Sect. 11.6)


Hyperfine quenching
Isoelectronic plot
Properties of the most abundant isotopes
Enriched isotopes
Decay curves
Delayed downstream spectra


Hyperfine coupling
Eigenvalue solution
Complex formulation
Solution using ab initio unquenched values
J=0-1 splitting from the measured J=0 lifetime

Chapter 1;   Chapter 2;   Chapter 3;   Chapter 4;   Chapter 5;   Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 12
Chapter 13
Chapter 14
Chapter 15