Norm residue isomorphism theorem: Difference between revisions
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en>LokiClock →Statement: l->ℓ |
clarified exposition |
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{| class="wikitable" | |||
|- | |||
! colspan="2"|{{tnavbar-header|Quantity|Template:Table of atomic and nuclear constants}} | |||
!Symbol | |||
!Value<ref name="concise">The values are given in the so-called ''concise form''; the number in brackets is the ''[[standard uncertainty]]'', which is the value multiplied by the ''[[relative standard uncertainty]]''.</ref><ref name="2010 CODATA">P.J. Mohr, B.N. Taylor, and D.B. Newell (2011), "The 2010 CODATA Recommended Values of the Fundamental Physical Constants" (Web Version 6.0). This database was developed by J. Baker, M. Douma, and S. Kotochigova. Available: http://physics.nist.gov/constants [Thursday, 02-Jun-2011 21:00:12 EDT]. National Institute of Standards and Technology, Gaithersburg, MD 20899.</ref> ([[SI]] units) | |||
!Relative Standard Uncertainty | |||
|- | |||
| colspan=2 |[[Bohr radius]] | |||
|<math>a_0 = \alpha / 4 \pi R_\infin \,</math> | |||
|5.291 772 1092(17) × 10<sup>−11</sup> m | |||
|3.2 × 10<sup>−9</sup> | |||
|- | |||
| colspan=2 |[[classical electron radius]] | |||
|<math>r_{\mathrm{e}} = e^2 / 4\pi\varepsilon_0 m_e c^2\,</math> | |||
|2.817 940 3267(27) × 10<sup>−15</sup> m | |||
|9.7 × 10<sup>−10</sup> | |||
|- | |||
| colspan=2 |[[electron|electron mass]] | |||
|<math>m_{\mathrm{e}} \,</math> | |||
| 9.109 382 91(40) × 10<sup>−31</sup> kg | |||
|4.4 × 10<sup>−8</sup> | |||
|- | |||
|colspan=2| [[Fermi coupling constant]] | |||
|<math>G_{\mathrm{F}} / (\hbar c)^3</math> | |||
|1.166 364(5) × 10<sup>−5</sup> GeV<sup>−2</sup> | |||
|4.3 × 10<sup>−6</sup> | |||
|- | |||
|colspan=2 |[[fine-structure constant]] | |||
|<math>\alpha = \mu_0 e^2 c / 2 h = e^2 / 4 \pi \varepsilon_0 \hbar c \,</math> | |||
|7.297 352 5698(24) × 10<sup>−3</sup> | |||
|3.2 × 10<sup>−10</sup> | |||
|- | |||
|colspan=2 |[[Hartree energy]] | |||
|<math>E_{\mathrm{h}} = 2 R_\infin h c \,</math> | |||
|4.359 744 34(19) × 10<sup>−18</sup> J | |||
|4.4 × 10<sup>−8</sup> | |||
|- | |||
|colspan=2 |[[proton|proton mass]] | |||
|<math>m_{\mathrm{p}} \,</math> | |||
| 1.672 621 777(74) × 10<sup>−27</sup> kg | |||
|4.4 × 10<sup>−8<sup> | |||
|- | |||
|colspan=2 |quantum of circulation | |||
|<math>h / 2 m_{\mathrm{e}} \,</math> | |||
|3.636 947 5520(24) × 10<sup>−4</sup> m² s<sup>−1</sup> | |||
|6.5 × 10<sup>−10</sup> | |||
|- | |||
|colspan=2 |[[Rydberg constant]] | |||
|<math>R_\infin = \alpha^2 m_{\mathrm{e}} c / 2 h \,</math> | |||
|10 973 731.568 539(55) m<sup>−1</sup> | |||
|5.0 × 10<sup>−12</sup> | |||
|- | |||
|colspan=2 |Thomson [[cross section (physics)|cross section]] | |||
|<math>(8 \pi / 3)r_{\mathrm{e}}^2</math> | |||
|6.652 458 734(13) × 10<sup>−29</sup> m² | |||
|1.9 × 10<sup>−9</sup> | |||
|- | |||
|colspan=2 |[[Weinberg angle|weak mixing angle]] | |||
|<math>\sin^2 \theta_{\mathrm{W}} = 1 - (m_{\mathrm{W}} / m_{\mathrm{Z}})^2 \,</math> | |||
|0.2223(21)</td> | |||
<td>9.5 × 10<sup>−3</sup> | |||
|- | |||
|}<noinclude> | |||
{{template reference list}} | |||
[[Category:Physics templates]] | |||
</noinclude> |
Revision as of 06:47, 27 October 2013
Template:Tnavbar-header | Symbol | Value[1][2] (SI units) | Relative Standard Uncertainty | |
---|---|---|---|---|
Bohr radius | 5.291 772 1092(17) × 10−11 m | 3.2 × 10−9 | ||
classical electron radius | 2.817 940 3267(27) × 10−15 m | 9.7 × 10−10 | ||
electron mass | 9.109 382 91(40) × 10−31 kg | 4.4 × 10−8 | ||
Fermi coupling constant | 1.166 364(5) × 10−5 GeV−2 | 4.3 × 10−6 | ||
fine-structure constant | 7.297 352 5698(24) × 10−3 | 3.2 × 10−10 | ||
Hartree energy | 4.359 744 34(19) × 10−18 J | 4.4 × 10−8 | ||
proton mass | 1.672 621 777(74) × 10−27 kg | 4.4 × 10−8 | ||
quantum of circulation | 3.636 947 5520(24) × 10−4 m² s−1 | 6.5 × 10−10 | ||
Rydberg constant | 10 973 731.568 539(55) m−1 | 5.0 × 10−12 | ||
Thomson cross section | 6.652 458 734(13) × 10−29 m² | 1.9 × 10−9 | ||
weak mixing angle | 0.2223(21) | 9.5 × 10−3 |
Template:Template reference list
- ↑ The values are given in the so-called concise form; the number in brackets is the standard uncertainty, which is the value multiplied by the relative standard uncertainty.
- ↑ P.J. Mohr, B.N. Taylor, and D.B. Newell (2011), "The 2010 CODATA Recommended Values of the Fundamental Physical Constants" (Web Version 6.0). This database was developed by J. Baker, M. Douma, and S. Kotochigova. Available: http://physics.nist.gov/constants [Thursday, 02-Jun-2011 21:00:12 EDT]. National Institute of Standards and Technology, Gaithersburg, MD 20899.