Norm residue isomorphism theorem: Difference between revisions

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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 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/(c)3 1.166 364(5) × 10−5 GeV−2 4.3 × 10−6
fine-structure constant α=μ0e2c/2h=e2/4πε0c 7.297 352 5698(24) × 10−3 3.2 × 10−10
Hartree energy Eh=2Rhc 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 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.