Chapter 3 - Atomic Structure and Lifetimes
Semiempirical Parametrization of Energy-Level Data

Part I: Historical Foundations (Sect. 3.1)

Dispersion

  • First observation?
  • Refraction and dispersion by spheres
  • Parhelia
  • Sun dogs

    • Newton and the "Phænomena of Colours"

  • Newton's studies
  • Take apart and put together again
  • The misfortune of the circular hole

    • Two types of light sources

  • The various Rydberg series
  • Emission and absorption spectra
  • Solar spectrum
  • First observations of dispersed light
  • Melvill
  • Wollasten
  • Kirchhoff and Bunsen
  • Stellar absorption spectra
  • History of astronomical spectroscopy
  • Spectra of various neutral atoms

    • Balmer and the hydrogen spectrum

  • Balmer, Rydberg and Ritz
  • Balmer's plot of Ångström's data
  • Balmer's plot revisited
  • Rydberg's seminar
  • "Janne Rydberg, his life and work," Nucl. Instr. Meth. (in press)

    • Part II: Quantum Defect Methods

    The Rydberg-Ritz quantum defect reduction (Sect. 3.3)

  • Data-based mapping systematization
  • Quantum defect, phase shift, and n
  • n dependence of average powers of r
  • Grotrian diagrams

    The two-body problem (Sect. 3.2)

  • Reduced mass
  • The Rydberg constant
  • Atomic constants

    Application of Rydberg-Ritz (Sect. 3.3.2)

  • Na I Grotrian diagram
  • Determination of the 5p-3/2 level
  • Na data
  • Quantum defect reduction
  • Quantum defect plot
  • Search IP
  • Smooth and extrapolate

    • Interpretation of Ritz parameters (Sect. 3.3.2)

  • Quantum defect on both sides?
  • Solution by iteration
  • Quantum defect as fctn of n
  • continued
  • Penetration and polarization
  • Isoelectronic landscape
  • Charge dependence

    • Semiclassical derivation of Rydberg-Ritz formula (Sect. 3.3.1)

  • EBK formulation
  • Coulombic at large r
  • Taylor expand

    • The Polarization Model (Sect. 3.4)

  • Expectation value expansion
  • Non-penetrating orbits
  • Hydrogenic values
  • Quantum defect
  • Tight and loose cores
  • Compare polarizabilities
  • Si III analysis
  • Other analyses
  • Penetration formulation

    • Part III: Screening Parametrizations (Sect. 3.5)

    Characterizing regions of large and small r (Sect. 3.5.1)

  • Phase shifts and radial scalings

    • Regular and irregular doublet laws (Sect. 3.5.2)

  • Irregular doublet law
  • Applied to Na sequence
  • Regular doublet law
  • X-ray notation
  • X-ray screening parameter plots
  • (continued)
  • Characteristic X-rays
  • Summary of X-ray screening parameters
  • Apply to optical spectra

    • The Dirac-Sommerfeld expansion (Sect. 3.6.1)

  • Expansion of Dirac Energy
  • Nested binomial expressions
  • Collecting terms and shifting sums
  • Formulation
  • Coefficients

    • Applications to complex systems (Sect. 3.6.2)

  • Apply to Cu sequence 4p fs
  • Screening extrapolations up Rydberg series
  • Adding s-electrons to 4p
  • Differenced screening of 4sk4p
  • Combined plot

    • Relative importance of higher order terms (Sect 3.6.3)

  • Gravitational analogue

    • Quantum electrodynamic corrections

  • Semiclassical Lamb shift
  • Energy splittings
  • Schematic plot
  • Screening of Lamb shift

    Screening expansions of transition rates (Sect. 3.7)

  • Time dependent processes
  • Line strength factors
  • H-like intrashell line strengths values
  • Alkali-Metallike sequences

    • Relativistic corrections (Sect. 3.7.2)

  • Li-like uranium anomaly
  • Relativistic corrections for hydrogen
  • Comparison with Li
  • Na-like Corrected

    • Current state of knowledge

  • Li and Na vs theory
  • Cancellation Landscape
  • PSD multiplexed detection
  • Block diagram of SE approach


    Chapter 1
    Chapter 2
    Bridge A
    Chapter 4
    Bridge B
    Chapter 5
    Chapter 6

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