# Chapter 8 - Atomic Structure and Lifetimes

*Applications*

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## Forbidden transitions

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Inevitability of decay?
Multipole radiation in He-like atoms
### M1 - easier than E1 (Sect. 8.1-8.2)

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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

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IC line strengths, sp
IC line strengths, p^{2}
M1 line strengths
Application: Si-like Kr^{22+}
Isoelectronic application
Ordering of relativistic corrections
## Astrophysical implications (Sect. 8.2)

### The Solar Corona

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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 np^{5} A's
Compute IC A's
### Analysis of solar data

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Temperature broadening
Doppler width
Solar temperatures
Nebulium and the O III ground configuration
### Example: p^{3} configuration (Sect. 8.2.4)

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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

Deferred Topics
#### s^{2}p and s^{2}p^{5} 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

*p*^{2} and *p*^{4} ground state
configurations

M1 with intermediate coupling

Line strengths for *sp*

Line strengths for *p*^{2} and
*p*^{4}

Kr^{22+}: line strengths

-Transition probability

-Lifetime

Si sequence

S sequence

Formulae

*p*^{3} ground configurations

*p*^{3} levels from *LS* to
*jj*

Off-diagonal Hamiltonian

Polynomial reduction

Reduction

Application to Fe^{19+}

Computed eigenvectors

Vectors and matrices

Matrix product

Compare with * ab initio*

P sequence