Chapter 7
Line Strengths in Two-Valence Electron Systems

Screening Parametrizations of Line Strengths

Overview of Data-Based Methods
Transition probability rate data base
NIST page
Isoelectronic sequences
Alkali-metalike sequences
H-like intrashell line strengths values
Line strengths with spectator ns electron
Alkaline-earthlike Sequences
Hg lore

Two-Electron and Electron-Hole Systems (Sect. 7.1)

Intrashell s2-sp

  • nsnp matrix
  • Secular equation
  • Eigenvectors
  • Matrix approach
  • Matrix elements
  • Data reduction
  • Quantities connected by mixing Angles
  • IsoPlot of Mixing Angles
  • Log(cot) plot
    Cd mixing angles
    Cd reduced line strengths
    MCDHF calculations
    Electron configurations
  • Intrashell sp-sd (Sect. 7.1.5)

    Extension to pd
    Line strengths and mixing angles
    Fitting parameters
  • Experimental lifetimes
  • Predictions
  • Branching fraction comparisons for In II
  • Intershell, "Bears"

    Be Sequence
    Be-like Grotrian and Decay
    Differential lifetimes
    3-Bears spectrum
    Differential decay curve
    Branching of Singlet
    Z2S Plot for 3-Bears
    He-like Slope Law

    Intershell, inert gaslike systems (Sect. 7.1.4)

    Z2S Plot for Ne-Sequence
    Lasing action for Z=34
    Mixing angles 2s3p, 2p53s
    Ar-like Plunging Levels
    Ar-like Mixing Angles
    Theoretical line strengths

    p2 and p4 configurations

    p2 formulation
    Data reductions
    Ground term M1 transitions
    M1 transitions

    C, Si, Ge, Sn and Pb sequences (Sect. 7.1.7)

    Line strengths from mixing angles
    Si-Ge-Sn comparisons
    Te III

    Relativistic corrections (Sect. 7.2)

    s2-sp transitions

    Contrast Cd and Hg sequences
    Radial-Angular Mixing Angles
    Trig reduction
    Hg mixing angles
    Hg reduced line strengths

    p2-sp transitions (Sect. 7.2.3)

    Pb Grotrian diagram
    Pb Cancellations
    Relativistic eigenvectors
    Dirac Formulae
    Data reduction
    Other data reductions

    Dirac Formulation of Be sequence

    Mixing angles
    Radial-Angular Mixing Angles
    Be sequence Joint Mixing Angles
    Be Seq Corrections
    Be Sequence
    l-mixing at high Z CI

    Other applications of mixing angles (Sect. 7.3)

    Zeeman effect
    Vector model
    Landé g factor
    Gymagnetic ratios with IC

    Chapter 1;   Chapter 2;   Chapter 3;   Chapter 4;   Chapter 5;   Chapter 6

    Chapter 8
    Chapter 9
    Chapter 10
    Chapter 11
    Chapter 12
    Chapter 13
    Chapter 14
    Chapter 15



    Relevant sources

    Level crossings
    Plunging levels
    S-like avoided crossings
    f-value crossings
    Cancellations in 2s3p and 3s4p
    Ground term M1 transitions
    Si Sequence
    S Sequence
    Charge Scaling Methods
    Charge dependent units
    Expansion of line strength
    Expansion of oscillator strength
    f-value vs 1/Z examples
    Intrashell, Li 2s-2p
    Intershell, Li 2s-3p, 2p-3s
    Avoided crossings
    CI cancellation in Al sequence
    Si II Grotrian diagram
    Na and Cu ns-sp sequences
    Z2S vs screened Z
    Screening approximations
    Dalgarno charge expansions
    Continued screening
    Padé approximations
    Screening strategies
    Single Valence Electron Systems
    Li-like Johnson
    Hydrogenlike case
    Comparison with Li
    Li-like Corrected
    Na-like Corrected
    Li-Na Johnson
    PSD fs of Si XII
    Cancellation Landscape
    Excited configurations
    Alkalilike sequences: paramaterized MBPT
    Lamb shift screening for the irregular doublet
    Screening of the regular doublet
    M1 and E2 in alkalilike systems
    Level splittings
    Semiempirical reduction
    sp and p5 mixing
    Empirical mixing angles