Chapter 6
Electric Dipole Radiation

The Weisskopf-Wigner approximation

Fermi
Merzbacher
Approximations
Evidence available
Compare with theory
Published article
QM and decay

Lorentz-Drude theory

Radiated Power
Damped Harmonic Oscillator
Special cases 1 and 2
Special case 3, real roots
Complex roots
Resulting equation
Jackson's treatment

QM oscillator strengths

Oscillator strengths
States and levels
Formulae
Application to Ca II H and K lines
Application to Na I D lines

Intensities in various spectral hierarchies (Sect. 6.1)

Lifetimes and rates at various hierarchies
Term and multiplet values
Line intensities
"Natural" excitation
Line strength
Transition probability rate

Angular polarization (Sect. 6.1.1)

E1 radiation pattern
Linear dipole representation
Angular distribution
Plot
Pi and sigma patterns
Cascade induced alignment
Decay of polarization
Instrumental polarizations
Magic angles

Hydrogenic dipole matrix elements (Sect. 6.2)

Angular and radial portions
Six-J symbols
Coupling schemes
Calculator
Radial integral
Specific calculations
Multiplet strengths
Lifetimes
Formulae
Summed A's, n=2,3
Summed A's, n=4
Branching fractions
Level diagram
Decay curve
Tabulations

Commutator relations (Sect. 6.3)

Dirac bra-ket
Commutator algebra
Length and velocity
Acceleration
Classical analogy
Thomas-Reiche-Kuhn
Sum rule
Applied to Na
Applied to H

Apply to the dipole polarizability (Sect. 6.4)

Quadratic Stark effect
Applied to Na I and Mg II
ad isoelectronically
Mg II extended
Ca II
Hydrogen continuum states
Continuum states and confidence limits
Invert for lifetimes

Disappearance spectroscopy (Sect. 6.6)

Hydrogenic matrix
Cancellation landscape
Penetration and polarization quantum defects
Cu s-p plot
Cu p-d plot
Cu d-f plot
K p-d plot

  • Isoelectronic variation of polarization QD
  • Isoelectronic variation of relativistic QD
  • Bates-Damgaard Tables
  • Sinusoidal formulation
  • Burgess and Seaton formulation

    • Application of sums to other parameters

    Generalized f and E sums
    Index of refraction of gases
    continued

  • Adiabatic and nonadiabatic polarizabilities
  • Quadrupole polarizability
  • b and aq isoelectronically
  • Generalized f-sums
  • Values for H and inert gases
  • Computations of index
  • Hydrogenic f-sums

    • Contribution of core to transition moment Sect. 6.5)

    Dipole moment of a complex atom
    Polarization shifts in cancellations


    Chapter 1
    Chapter 2
    Chapter 3
    Chapter 4
    Chapter 5
    Chapter 7
    Chapter 8
    Chapter 9
    Homepage


    Dipole moment
    Using hydrogenlike values
    Formula
    Application to S V and Cl VI

    Application to coinage metal-like sequences

    Coinage metal-like systems
    Ag cancellations
    Au cancellations
    Hg II 5p decay curve
    Ions with severe cancellations
    Application to Au sequence
    Atomic radii
    Cu Grotrian diagram
    Tl III Grotrian diagram
    Contributions to sums
    Tabulations
    Dipole polarizabilities
    ANDC determination
    Polarization model

    Application to the K sequence

    K s-p plot
    K p-d plot
    K 6p-8d
    C II H and K lines




    Deferred topics:

    Calculations for hydrogen

    Line strength angular factors
    Example: Lyman alpha
    Oscillator strength
    Transition probability rate
    Multiplet intensity
    Fractional parentage
    Multiplet definitions
    Effective multiplet values