1. Introduction

1.1. Background

1.2. Brief overview of CODATA 2010 adjustment

1.2.1. Fine-structure constant

**α**

1.2.2. Planck constant

1.2.3. Molar gas constant

1.2.4. Newtonian constant of gravitation

*G*1.2.5. Rydberg constant

*R*

_{∞}and proton radius

*r*

_{p}

1.3. Outline of the paper

2. Special Quantities and Units

3. Relative Atomic Masses

3.1. Relative atomic masses of atoms

3.2. Relative atomic masses of ions and nuclei

3.3. Relative atomic masses of the proton, triton, and helion

3.4. Cyclotron resonancemeasurement of the electron relative atomic mass

4. Atomic Transition Frequencies

4.1. Hydrogen and deuterium transition frequencies, the Rydberg constant

*R*

_{∞}, and the proton and deuteron charge radii

*r*

_{p},

*r*

_{d}

4.1.1. Theory of hydrogen and deuterium energy levels

4.2. Antiprotonic helium transition frequencies and

4.2.1. Theory relevant to antiprotonic helium

4.2.2. Experiments on antiprotonic helium

4.2.3. Inferred value of from antiprotonic helium

4.3. Hyperfine structure and fine structure

5. Magnetic-Moment Anomalies and

**-Factors**

*g*5.1. Electron magnetic-moment anomaly

*a*

_{e}and the fine-structure constant α

5.1.1. Theory of

*a*

_{e}

5.1.2. Measurements of

*a*

_{e}

5.1.3. Values of

**inferred from**

*α**a*

_{e}

5.2. Muon magnetic-moment anomaly

5.2.1. Theory of

5.2.2. Measurement of : Brookhaven

5.3. Bound-electron

**-factor in and in and**

*g*5.3.1. Theory of the bound electron

**-factor**

*g*5.3.2. Measurements of and

6. Magnetic-moment Ratios and the Muon-electron Mass Ratio

6.1. Magnetic-moment ratios

6.1.1. Theoretical ratios of atomic bound-particle to free-particle

**-factors**

*g*6.1.2. Bound helion to free helion magnetic-moment ratio

6.1.3. Ratio measurements

6.2. Muonium transition frequencies, the muon-proton magnetic-moment ratio , and muon-electron mass ratio

6.2.1. Theory of the muonium ground-state hyperfine splitting

6.2.2. Measurements of muonium transition frequencies and values of and

7. Quotient of Planck Constant and Particle Mass and α

7.1. Quotient

7.2. Quotient

7.3. Other data

8. Electrical Measurements

8.1. Types of electrical quantities

8.2. Electrical data

8.2.1. and

**: NPL watt balance**

*h*8.2.2. and

**: METAS watt balance**

*h*8.2.3. Inferred value of

*K*

_{J}

8.3. Josephson and quantum-Hall-effect relations

9. Measurements Involving Silicon Crystals

9.1. Measurements of of natural silicon

9.2.

*d*

_{220}difference measurements of natural silicon crystals

9.3. Gamma-ray determination of the neutron relative atomic mass

9.4. Historic x-ray units

9.5. Other data involving natural silicon crystals

9.6. Determination of

*N*

_{A}with enriched silicon

10. Thermal Physical Quantities

10.1. Acoustic gas thermometry

10.1.1. NPL 1979 and NIST 1988 values of

*R*10.1.2. LNE 2009 and 2011 values of

*R*10.1.3. NPL 2010 value of

*R*10.1.4. INRIM 2010 value of

*R*10.2. Boltzmann constant

**and quotient**

*k*10.2.1. NIST 2007 value of

*k*10.2.2. NIST 2011 value of

10.3. Other data

10.4. Stefan-Boltzmann constant ᔇ

11. Newtonian Constant of Gravitation

*G*11.1. Updated values

11.1.1. National Institute of Standards and Technology and University of Virginia

11.1.2. Los Alamos National Laboratory

11.2. New values

11.2.1. Huazhong University of Science and Technology

11.2.2. JILA

12. Electroweak Quantities

13. Analysis of Data

13.1. Comparison of data through inferred values of

**,**

*α***,**

*h***, and**

*k*13.2. Multivariate analysis of data

13.2.1. Data related to the Newtonian constant of gravitation

*G*13.2.2. Data related to all other constants

13.2.3. Test of the Josephson and quantum-Hall-effect relations

14. The 2010 CODATA Recommended Values

14.1. Calculational details

14.2. Tables of values

15. Summary and Conclusion

15.1. Comparison of 2010 and 2006 CODATA recommended values

15.2. Some implications of the 2010 CODATA recommended values and adjustment for metrology and physics

15.3. Suggestions for future work

16. List of Symbols and Abbreviations

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