Chapter 8 - Atomic Structure and Lifetimes
Applications

Forbidden transitions

  • Inevitability of decay?
  • Multipole radiation in He-like atoms

    • M1 - easier than E1 (Sect. 8.1-8.2)

  • Models for E1 and M1 transitions
  • Electric and magnetic dipoles
  • Compare Z dependences
  • Line strength factors
  • Empirical specification
  • Tabulation
  • Fine structures
  • Examples

    • Intermediate coupling channels

  • IC line strengths, sp
  • IC line strengths, p2
  • M1 line strengths
  • Application: Si-like Kr22+
  • Isoelectronic application
  • Ordering of relativistic corrections

    • Astrophysical implications (Sect. 8.2)

    The Solar Corona

  • Helium
  • Eclipse photo and coronium
  • Solar corona, before 1930
  • Lyot solar camera
  • Coronagraph spectrum
  • Coronium and Edlén
  • Bengt Edlén and King Gustaf VI Adolf, 1951
  • Why Edlén abandoned his thesis work
  • Gröna jorden?
  • Solar temperatures
  • Grotrian and Edlén
  • Highly ionized lab spectra
  • Identified lines
  • Compute np and np5 A's
  • Compute IC A's

    • Analysis of solar data

  • Temperature broadening
  • Doppler width
  • Solar temperatures
  • Nebulium and the O III ground configuration

    • Example: p3 configuration (Sect. 8.2.4)

  • 2 nonequivalent electrons
  • 2 equivalent electrons
  • 3 equivalent p electrons
  • LS to jj
  • Matrix
  • Inversion of coefficients from known roots
  • Slater/spin-orbit parameters from measured energies
  • Application
  • Find vectors
  • Physical eigenvectors
  • Matrix diagonalization
  • Tabulation
  • Matrix multiplication
  • Line strength array
  • Fe 19+
  • P sequence

    Chap.1   Chap.2   Chap.3   Bridge A   Ch.4   Bridge B   Chap.5

    Chapter 9
    Chapter 10
    Chapter 11
    Chapter 12
    Chapter 13
    Chapter 14
    Chapter 15

    Homepage







    Deferred Topics

    s2p and s2p5 ground configs

    Reduction formula
    n=2 B and F sequences
    n=3 Al and Cl sequences
    n=4,5,6 sequences
    Ga sequence
    Fits
    Isoelectronic plots
    Ground states

    p2 and p4 ground state configurations

    M1 with intermediate coupling
    Line strengths for sp
    Line strengths for p2 and p4
    Kr22+: line strengths
    -Transition probability
    -Lifetime
    Si sequence
    S sequence
    Formulae

    p3 ground configurations

    p3 levels from LS to jj
    Off-diagonal Hamiltonian
    Polynomial reduction
    Reduction
    Application to Fe19+
    Computed eigenvectors
    Vectors and matrices
    Matrix product
    Compare with ab initio
    P sequence