Norm residue isomorphism theorem: Difference between revisions

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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 07:47, 27 October 2013

Template:Tnavbar-header Symbol Value[1][2] (SI units) Relative Standard Uncertainty
Bohr radius a0=α/4πR∞ 5.291 772 1092(17) × 10−11 m 3.2 × 10−9
classical electron radius re=e2/4πε0mec2 2.817 940 3267(27) × 10−15 m 9.7 × 10−10
electron mass me 9.109 382 91(40) × 10−31 kg 4.4 × 10−8
Fermi coupling constant GF/(ℏc)3 1.166 364(5) × 10−5 GeV−2 4.3 × 10−6
fine-structure constant α=μ0e2c/2h=e2/4πε0ℏc 7.297 352 5698(24) × 10−3 3.2 × 10−10
Hartree energy Eh=2R∞hc 4.359 744 34(19) × 10−18 J 4.4 × 10−8
proton mass mp 1.672 621 777(74) × 10−27 kg 4.4 × 10−8
quantum of circulation h/2me 3.636 947 5520(24) × 10−4 m² s−1 6.5 × 10−10
Rydberg constant R∞=α2mec/2h 10 973 731.568 539(55) m−1 5.0 × 10−12
Thomson cross section (8π/3)re2 6.652 458 734(13) × 10−29 m² 1.9 × 10−9
weak mixing angle sin2θW=1−(mW/mZ)2 0.2223(21) 9.5 × 10−3

Template:Template reference list


  1. ↑ 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.
  2. ↑ 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.