Sakuma–Hattori equation: Difference between revisions

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Added the units for wavelength and temperature that correspond to the value of the Second Radiation Constant used in the equation
 
en>R. J. Mathar
→Discussion: formula added that avoids the use of the polylogarithms.
 
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{| class="wikitable"
|-
!{{tnavbar-header|Quantity|Template:Table of electromagnetic 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
|-
|[[Vacuum permeability|magnetic constant]] (vacuum permeability)
|<math> \mu_0 \,</math>
|4π × 10<sup>−7</sup> N·A<sup>−2</sup> = 1.256 637 061... × 10<sup>−6</sup> N·A<sup>−2</sup>
|defined
|-
|[[vacuum permittivity|electric constant]] (vacuum permittivity)
|<math> \varepsilon_0 = 1/\mu_0 c^2 \,</math>
|8.854 187 817... × 10<sup>−12</sup> F·m<sup>−1</sup>
|defined
|-
|[[impedance of free space|characteristic impedance of vacuum]]
|<math>Z_0 = \mu_0 c \,</math>
|376.730 313 461... Ω
|defined
|-
|[[Coulomb's law|Coulomb's constant]]
|<math>k_{\mathrm{e}} = 1 / 4\pi\varepsilon_0 \,</math>
|8.987 551 787... × 10<sup>9</sup> N·m²·C<sup>−2</sup>
|defined
|-
|[[elementary charge]]
|<math>e
\,</math>
|1.602 176 565(35) × 10<sup>−19</sup> C
|2.2 × 10<sup>−8</sup>
|-
|[[Bohr magneton]]
|<math>\mu_{\mathrm{B}} = e \hbar / 2 m_e</math>
|9.274 009 68(20) × 10<sup>−24</sup> J·T<sup>−1</sup>
|2.2 × 10<sup>−8</sup>
|-
|[[conductance quantum]]
|<math>G_0 = 2 e^2 / h \,</math>
|7.748 091 7346(25) × 10<sup>−5</sup> S
|3.2 × 10<sup>−10</sup>
|-
|inverse [[conductance quantum]]
|<math>G_0^{-1} = h / 2 e^2 \,</math>
|12 906.403 7217(42) Ω
|3.2 × 10<sup>−10</sup>
|-
|[[Josephson junction|Josephson]] constant
|<math>K_{\mathrm{J}} = 2 e / h \,</math>
|4.835 978 70(11) × 10<sup>14</sup> Hz·V<sup>−1</sup>
|2.2 × 10<sup>−8</sup>
|-
|[[magnetic flux quantum]]
|<math>\phi_0 = h / 2 e \,</math>
|2.067 833 758(46) × 10<sup>−15</sup> Wb
|2.2 × 10<sup>−8</sup>
|-
|[[nuclear magneton]]
|<math>\mu_{\mathrm{N}} = e \hbar / 2 m_p</math>
|5.050 783 53(11) × 10<sup>−27</sup> J·T<sup>−1</sup>
|2.2 × 10<sup>−8</sup>
|-
|[[von Klitzing constant]]
|<math>R_{\mathrm{K}} = h / e^2 \,</math>
|25 812.807 4434(84) Ω
|3.2 × 10<sup>−10</sup>
|-
|}<noinclude>
{{template reference list}}


[[Category:Physics templates]]


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Latest revision as of 11:48, 31 January 2014

Template:Tnavbar-header Symbol Value[1][2] (SI units) Relative Standard Uncertainty
magnetic constant (vacuum permeability) μ0 4π × 10−7 N·A−2 = 1.256 637 061... × 10−6 N·A−2 defined
electric constant (vacuum permittivity) ε0=1/μ0c2 8.854 187 817... × 10−12 F·m−1 defined
characteristic impedance of vacuum Z0=μ0c 376.730 313 461... Ω defined
Coulomb's constant ke=1/4πε0 8.987 551 787... × 109 N·m²·C−2 defined
elementary charge e 1.602 176 565(35) × 10−19 C 2.2 × 10−8
Bohr magneton μB=eℏ/2me 9.274 009 68(20) × 10−24 J·T−1 2.2 × 10−8
conductance quantum G0=2e2/h 7.748 091 7346(25) × 10−5 S 3.2 × 10−10
inverse conductance quantum G0−1=h/2e2 12 906.403 7217(42) Ω 3.2 × 10−10
Josephson constant KJ=2e/h 4.835 978 70(11) × 1014 Hz·V−1 2.2 × 10−8
magnetic flux quantum ϕ0=h/2e 2.067 833 758(46) × 10−15 Wb 2.2 × 10−8
nuclear magneton μN=eℏ/2mp 5.050 783 53(11) × 10−27 J·T−1 2.2 × 10−8
von Klitzing constant RK=h/e2 25 812.807 4434(84) Ω 3.2 × 10−10

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.
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