^{1,a)}and L. I. Podobedova

^{1,b)}

### Abstract

This compilation is the second in a series of updates to *Atomic Transition Probabilities, Sodium through Calcium,* published in 1969 by Wiese *et al.* [Atomic Transition Probabilities, Vol. II, Vol. II: Sodium through Calcium, NSROS-NBS Vol. 2 (U.S. GPO, Washington, D.C., 1969)]. Atomic transition probabilities have been critically evaluated and compiled for about 5000 spectral lines of aluminum (nuclear charge ). The cited values and their estimated uncertainties are based on our consideration of all available theoretical and experimental literature sources. All ionization stages (except for hydrogenic) are covered, and the data are presented in separate tables for each atom and ion. Separate listings are given for “allowed” (electric dipole) and “forbidden” (magnetic dipole plus electric and magnetic quadrupole) transitions. In each spectrum, lines are grouped into multiplets which are arranged in order of ascending lower- and upper-level energies, respectively. For each line, the emission transition probability , the line strength , and (for allowed lines) the absorption oscillator strength are given, together with the spectroscopic designation, the wavelength, the statistical weights, and the energy levels of the lower and upper states. The estimated relative uncertainties of the line strength are also indicated, as are the source citations. We include only those lines whose transition rates are deemed sufficiently accurate to qualify as reference values. Short introductions precede the tables for each ion.

1. Introduction

2. Acknowledgments and Future Plans

3. References for Sections 1 and 2

4. Aluminum

4.1.

4.1.1. Allowed Transitions for

4.1.2. Forbidden Transitions for

4.2.

4.2.1. Allowed Transitions for

4.2.2. Forbidden Transitions for

4.3.

4.3.1. Allowed Transitions for

4.3.2. Forbidden Transitions for

4.4.

4.4.1. Allowed Transitions for

4.4.2. Forbidden Transitions for

4.5.

4.5.1. Allowed Transitions for

4.5.2. Forbidden Transitions for

4.6.

4.6.1. Allowed Transitions for

4.6.2. Forbidden Transitions for

4.7.

4.7.1. Allowed Transitions for

4.7.2. Forbidden Transitions for

4.8.

4.8.1. Allowed Transitions for

4.8.2. Forbidden Transitions for

4.9.

4.9.1. Allowed Transitions for

4.9.2. Forbidden Transitions for

4.10.

4.10.1. Allowed Transitions for

4.10.2. Forbidden Transitions for

4.11.

4.11.1. Allowed Transitions for

4.12.

4.12.1. Allowed Transitions for

### Key Topics

- Sodium
- 24.0
- Ab initio calculations
- 20.0
- Magnesium
- 20.0
- Ionization
- 14.0
- Ground states
- 12.0

## Tables

Correspondence between accuracy and estimated relative uncertainty

Correspondence between accuracy and estimated relative uncertainty

Conversion factors for transition rates

Conversion factors for transition rates

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{46,47} and Froese Fischer,^{71} 3=Vujnović *et al.*,^{81} *et al.*,^{13} and ^{29})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{46,47} and Froese Fischer,^{71} 3=Vujnović *et al.*,^{81} *et al.*,^{13} and ^{29})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (reference in this table is as follows: and Forese Fischer^{71})

Transition probabilities of forbidden lines for (reference in this table is as follows: and Forese Fischer^{71})

Wavelength finding list for allowed lines

Wavelength finding list for allowed lines

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{5,6} and Froese Fischer,^{70} and Fang,^{9} ,^{82} *et al.*,^{11} and Puri,^{64} and *et al.* ^{75})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{5,6} and Froese Fischer,^{70} and Fang,^{9} ,^{82} *et al.*,^{11} and Puri,^{64} and *et al.* ^{75})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{72}, and and Mukherjee^{58})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{72}, and and Mukherjee^{58})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: Fischer^{20})

Transition probabilities of allowed lines for (references in this table are as follows: Fischer^{20})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Mukherjee,^{38} *et al.* ^{26})

Transition probabilities of forbidden lines for (references in this table are as follows: and Mukherjee,^{38} *et al.* ^{26})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: and Froese Fischer,^{70} and ^{74})

Transition probabilities of allowed lines for (references in this table are as follows: and Froese Fischer,^{70} and ^{74})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{70})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{70})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: and Zeippen,^{7,8} and Froese Fischer,^{71} and ^{3})

Transition probabilities of allowed lines for (references in this table are as follows: and Zeippen,^{7,8} and Froese Fischer,^{71} and ^{3})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: and Zeippen,^{7,8} and Froese Fischer,^{71} *et al.*,^{80} and ^{3})

Transition probabilities of allowed lines for (references in this table are as follows: and Zeippen,^{7,8} and Froese Fischer,^{71} *et al.*,^{80} and ^{3})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71} and *et al.* ^{23})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71} and *et al.* ^{23})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: and Lennon,^{4} and Froese,^{71} and *et al.*,^{51})

Transition probabilities of allowed lines for (references in this table are as follows: and Lennon,^{4} and Froese,^{71} and *et al.*,^{51})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71} and *et al.* ^{49})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{71} and *et al.* ^{49})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: and Pradhan,^{41,42} and Froese Fischer,^{71} ,^{2} ,^{14} and *et al.* ^{48})

Transition probabilities of allowed lines for (references in this table are as follows: and Pradhan,^{41,42} and Froese Fischer,^{71} ,^{2} ,^{14} and *et al.* ^{48})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer,^{71} *et al.*,^{79} and *et al.*,^{24})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer,^{71} *et al.*,^{79} and *et al.*,^{24})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{15,16} and Froese Fischer,^{71} *et al.*,^{50} *et al.*,^{25} and *et al.* ^{62})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{15,16} and Froese Fischer,^{71} *et al.*,^{50} *et al.*,^{25} and *et al.* ^{62})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{87} and *et al.* ^{25})

Transition probabilities of forbidden lines for (references in this table are as follows: and Froese Fischer^{87} and *et al.* ^{25})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{77,78} Fischer.^{21} *et al.*,^{63} *et al.*,^{60} and Grant,^{19} and *et al.* ^{27})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{77,78} Fischer.^{21} *et al.*,^{63} *et al.*,^{60} and Grant,^{19} and *et al.* ^{27})

Wavelength finding list for forbidden lines of

Wavelength finding list for forbidden lines of

Transition probabilities of forbidden lines for (references in this table are as follows: Fischer,^{21} and Hibbert,^{37} and *et al.* ^{61})

Transition probabilities of forbidden lines for (references in this table are as follows: Fischer,^{21} and Hibbert,^{37} and *et al.* ^{61})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{55,56} Fischer,^{22} *et al.*,^{85} *et al.*,^{32} ,^{66} and Sureau,^{28} *et al.*,^{86} and *et al.* ^{44})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{55,56} Fischer,^{22} *et al.*,^{85} *et al.*,^{32} ,^{66} and Sureau,^{28} *et al.*,^{86} and *et al.* ^{44})

Wavelength finding list for allowed lines of

Wavelength finding list for allowed lines of

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{17,18} *et al.*,^{36} and *et al.* ^{33})

Transition probabilities of allowed lines for (references in this table are as follows: *et al.*,^{17,18} *et al.*,^{36} and *et al.* ^{33})

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