March 27, 2012 | Peter J. Mohr†, Barry N. Taylor‡, and David B. Newell§
The 2010 CODATA recommended values of the fundamental physical constants are presented in this paper. The values are based on a least-squares adjustment of input data, which includes experimental and theoretical results from 2007 to 2010. The adjustment replaces the 2006 CODATA values and provides a more accurate set of constants with reduced uncertainties. Key constants such as the fine-structure constant α, Planck constant h, molar gas constant R, Newtonian constant of gravitation G, Rydberg constant R∞, and proton radius rp have been updated. The 2010 values show improved precision, with α having a relative standard uncertainty of 3.2×10⁻¹⁰ compared to 6.8×10⁻¹⁰ in 2006. The Planck constant h has a relative uncertainty of 3.0×10⁻⁸, and the molar gas constant R has an uncertainty of 9.1×10⁻⁷. The Newtonian constant of gravitation G has an uncertainty of 12 parts in 10⁵, and the Rydberg constant R∞ has a relative uncertainty of 5.0×10⁻¹². The proton radius rp has an uncertainty of 0.0051 fm. The paper also discusses the analysis of data, the calculation of constants, and the implications of the 2010 adjustment for metrology and physics. The recommended values are available online and are based on extensive data analysis and least-squares adjustment. The paper provides detailed information on the input data, the adjustment process, and the resulting values of the fundamental physical constants.The 2010 CODATA recommended values of the fundamental physical constants are presented in this paper. The values are based on a least-squares adjustment of input data, which includes experimental and theoretical results from 2007 to 2010. The adjustment replaces the 2006 CODATA values and provides a more accurate set of constants with reduced uncertainties. Key constants such as the fine-structure constant α, Planck constant h, molar gas constant R, Newtonian constant of gravitation G, Rydberg constant R∞, and proton radius rp have been updated. The 2010 values show improved precision, with α having a relative standard uncertainty of 3.2×10⁻¹⁰ compared to 6.8×10⁻¹⁰ in 2006. The Planck constant h has a relative uncertainty of 3.0×10⁻⁸, and the molar gas constant R has an uncertainty of 9.1×10⁻⁷. The Newtonian constant of gravitation G has an uncertainty of 12 parts in 10⁵, and the Rydberg constant R∞ has a relative uncertainty of 5.0×10⁻¹². The proton radius rp has an uncertainty of 0.0051 fm. The paper also discusses the analysis of data, the calculation of constants, and the implications of the 2010 adjustment for metrology and physics. The recommended values are available online and are based on extensive data analysis and least-squares adjustment. The paper provides detailed information on the input data, the adjustment process, and the resulting values of the fundamental physical constants.