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

^{1,b)}

### Abstract

This compilation is the first in a series of updates to a critical compilation published in 1969 [W. L. Wiese, M. W. Smith, and B. M. Miles, Atomic Transition Probabilities, Vol. II: Sodium through Calcium, NSRDS-NBS Vol. 2 (U.S. GPO, Washington, D.C., 1969)]. Atomic transition probabilities have been critically evaluated and compiled for about 11 400 spectral lines of sodium and magnesium (nuclear charge , respectively). 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) transitions, on the one hand, and for “forbidden” (magnetic dipole plus electric and magnetic quadrupole) transitions, on the other. 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 introduce a statistical method that we use to estimate these uncertainties for most of the cited transition rates. We only include those lines whose transition rates are deemed sufficiently accurate to qualify as reference values. Short introductions precede the tables for each ion. The general introduction contains a discussion of the principal criteria for our judgments and our method of data selection and evaluation.

1. Introduction

2. Data Assessment

2.1. Main Criteria

2.2. The Critical Factors for the Determination of Atomic Transition Probabilities

2.2.1. Theoretical Methods

2.2.2. Experimental Methods

2.3. Selection Procedure

3. Brief Discussion of the Principal Data Sources

3.1. General Remarks

3.2. The Opacity Project

3.3. Breit-Pauli MCHF

3.4. Configuration Interaction Methods

3.5. Many-Body Perturbation Theory

3.6. Other Multiconfiguration Calculations

3.7. Related Atomic Physics Data in Tables

4. Estimating Relative Uncertainties of Line Strengths

4.1. Pooling of Relative Uncertainties of the Different Lines in a Spectrum

4.2. Restriction to Data from Certain Authors

4.3. Evaluation Procedure

5. Arrangement of the Tables

6. Acknowledgments and Future Plans

7. Appendix A: Classical Statistical Considerations

8. Appendix B: Computing the Error Function

9. References for the Introductory Material—Sections 1–8

10. Na

10.1.

10.1.1. Allowed Transitions for

10.1.2. References for Allowed Transitions for

10.1.3. Forbidden Transitions for

10.1.4. References for Forbidden Transitions for

10.2.

10.2.1. Allowed Transitions for

10.2.2. References for Allowed Transitions for

10.2.3. Forbidden Transitions for

10.2.4. References for Forbidden Transitions for

10.3.

10.3.1. Allowed Transitions for

10.3.2. References for Allowed Transitions for

10.3.3. Forbidden Transitions for

10.3.4. References for Forbidden Transitions for

10.4.

10.4.1. Allowed Transitions for

10.4.2. References for Allowed Transitions for

10.4.3. Forbidden Transitions for

10.4.4. References for Forbidden Transitions for

10.5.

10.5.1. Allowed Transitions for

10.5.2. References for Allowed Transitions for

10.5.3. Forbidden Transitions for

10.5.4. References for Forbidden Transitions for

10.6.

10.6.1. Allowed Transitions for

10.6.2. References for Allowed Transitions for

10.6.3. Forbidden Transitions for

10.6.4. References for Forbidden Transitions for

10.7.

10.7.1. Allowed Transitions for

10.7.2. References for Allowed Transitions for

10.7.3. Forbidden Transitions for

10.7.4. References for Forbidden Transitions for

10.8.

10.8.1. Allowed Transitions for

10.8.2. References for Allowed Transitions for

10.8.3. Forbidden Transitions for

10.8.4. References for Forbidden Transitions for

10.9.

10.9.1. Allowed Transitions for

10.9.2. References for Allowed Transitions for

10.10.

10.10.1. Allowed Transitions for

10.10.2. References for Allowed Transitions for

11. Mg

11.1.

11.1.1. Allowed Transitions for

11.1.2. References for Allowed Transitions for

11.1.3. Forbidden Transitions for

11.1.4. References for Forbidden Transitions for

11.2.

11.2.1. Allowed Transitions for

11.2.2. References for Allowed Transitions for

11.2.3. Forbidden Transitions for

11.2.4. References for Forbidden Transitions for

11.3.

11.3.1. Allowed Transitions for

11.3.2. References for Allowed Transitions for

11.3.3. Forbidden Transitions for

11.3.4. References for Forbidden Transitions for

11.4.

11.4.1. Allowed Transitions for

11.4.2. References for Allowed Transitions for

11.4.3. Forbidden Transitions for

11.4.4. References for Forbidden Transitions for

11.5.

11.5.1. Allowed Transitions for

11.5.2. References for Allowed Transitions for

11.5.3. Forbidden Transitions for

11.5.4. References for Forbidden Transitions for

11.6.

11.6.1. Allowed Transitions for

11.6.2. References for Allowed Transitions for

11.6.3. Forbidden Transitions for

11.6.4. References for Forbidden Transitions for

11.7.

11.7.1. Allowed Transitions for

11.7.2. References for Allowed Transitions for

11.7.3. Forbidden Transitions for

11.7.4. References for Forbidden Transitions for

11.8.

11.8.1. Allowed Transitions for

11.8.2. References for Allowed Transitions for

11.8.3. Forbidden Transitions for

11.8.4. References for Forbidden Transitions for

11.9.

11.9.1. Allowed Transitions for

11.9.2. References for Allowed Transitions for

11.9.3. Forbidden Transitions for

11.9.4. References for Forbidden Transitions for

11.10.

11.10.1. Allowed Transitions for

11.10.2. References for Allowed Transitions for

11.11.

11.11.1. Allowed Transitions for

11.11.2. References for Allowed Transitions for

### Key Topics

- Sodium
- 85.0
- Magnesium
- 83.0
- Ab initio calculations
- 35.0
- Ionization
- 25.0
- Opacity
- 24.0

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