List of physical constants
Table of physical constants[]
Symbol | Quantity | Value[1] | Relative standard uncertainty |
Group |
---|---|---|---|---|
speed of light in vacuum | 299792458 m⋅s−1[2] | 0 | ud | |
Planck constant | 6.62607015×10−34 J⋅Hz−1[3] | 0 | ud f | |
reduced Planck constant | 1.054571817...×10−34 J⋅s[4] | 0 | ud f | |
Newtonian constant of gravitation | 6.67430(15)×10−11 m3⋅kg−1⋅s−2[5] | 2.2×10−5 | u f | |
vacuum electric permittivity | 8.8541878128(13)×10−12 F⋅m−1[6] | 1.5×10−10 | u f | |
vacuum magnetic permeability | 1.25663706212(19)×10−6 N⋅A−2[7] | 1.5×10−10 | u f | |
characteristic impedance of vacuum | 376.730313668(57) Ω[8] | 1.5×10−10 | u | |
elementary charge | 1.602176634×10−19 C[9] | 0 | de f | |
hyperfine transition frequency of 133Cs | 9192631770 Hz[10] | 0 | d | |
Avogadro constant | 6.02214076×1023 mol−1[11] | 0 | d pf | |
Boltzmann constant | 1.380649×10−23 J⋅K−1[12] | 0 | d pf | |
conductance quantum | 7.748091729...×10−5 S[13] | 0 | e f | |
Josephson constant | 483597.8484...×109 Hz⋅V−1[14] | 0 | e f | |
Coulomb constant | 8.9875517923(14)×109 kg⋅m3⋅s−2⋅C−2[15] | 0 | e f | |
von Klitzing constant | 25812.80745... Ω[16] | 0 | e f | |
magnetic flux quantum | 2.067833848...×10−15 Wb[17] | 0 | e f | |
inverse conductance quantum | 12906.40372... Ω[18] | 0 | e | |
Bohr magneton | 9.2740100783(28)×10−24 J⋅T−1[19] | 3.0×10−10 | e | |
nuclear magneton | 5.0507837461(15)×10−27 J⋅T−1[20] | 3.1×10−10 | e | |
fine-structure constant | 7.2973525693(11)×10−3[21] | 1.5×10−10 | a f | |
inverse fine-structure constant | 137.035999084(21)[22] | 1.5×10−10 | a f | |
electron mass | 9.1093837015(28)×10−31 kg[23] | 3.0×10−10 | a f | |
proton mass | 1.67262192369(51)×10−27 kg[24] | 3.1×10−10 | a f | |
neutron mass | 1.67492749804(95)×10−27 kg[25] | 5.7×10−10 | a | |
Bohr radius | 5.29177210903(80)×10−11 m[26] | 1.5×10−10 | a | |
classical electron radius | 2.8179403262(13)×10−15 m[27] | 4.5×10−10 | a | |
electron g-factor | −2.00231930436256(35)[28] | 1.7×10−13 | a | |
Fermi coupling constant | 1.1663787(6)×10−5 GeV−2[29] | 5.1×10−7 | a | |
Hartree energy | 4.3597447222071(85)×10−18 J[30] | 1.9×10−12 | a | |
quantum of circulation | 3.6369475516(11)×10−4 m2⋅s−1[31] | 3.0×10−10 | a | |
Rydberg constant | 10973731.568160(21) m−1[32] | 1.9×10−12 | a | |
Thomson cross section | 6.6524587321(60)×10−29 m2[33] | 9.1×10−10 | a | |
W-to-Z mass ratio | 0.88153(17)[34] | 1.9×10−4 | ||
weak mixing angle | 0.22290(30)[35] | 1.3×10−3 | a | |
atomic mass constant | 1.66053906660(50)×10−27 kg[36] | 3.0×10−10 | pf | |
Faraday constant | 96485.33212... C⋅mol−1[37] | 0 | pf | |
molar gas constant | 8.314462618... J⋅mol−1⋅K−1[38] | 0 | pf | |
molar mass constant | 0.99999999965(30)×10−3 kg⋅mol−1[39] | 3.0×10−10 | pf | |
Stefan–Boltzmann constant | 5.670374419...×10−8 W⋅m−2⋅K−4[40] | 0 | pf | |
first radiation constant | 3.741771852...×10−16 W⋅m2[41] | 0 | p | |
first radiation constant for spectral radiance | 1.191042972...×10−16 W⋅m2⋅sr−1[42] | 0 | p | |
molar mass of carbon-12 | 11.9999999958(36)×10−3 kg⋅mol−1[43] | 3.0×10−10 | p | |
molar Planck constant | 3.990312712...×10−10 J⋅Hz−1⋅mol−1[44] | 0 | p | |
second radiation constant | 1.438776877...×10−2 m⋅K[45] | 0 | p | |
Wien wavelength displacement law constant | 2.897771955...×10−3 m⋅K[46] | 0 | p | |
Wien frequency displacement law constant | 5.878925757...×1010 Hz⋅K−1[47] | 0 | p | |
Wien entropy displacement law constant | 3.002916077...×10−3 m⋅K[48] | 0 | p |
'Group' reflects categorization on the NIST website:[49]
- u: universal
- d: defined
- e: electromagnetic
- a: atomic and nuclear
- p: physico-chemical
- f: frequently used
- n: non-SI units
See also[]
References[]
- ^ The values are given in the so-called concise form; the number in parentheses is the standard uncertainty and indicates the amount by which the least significant digits of the value are uncertain.
- ^ "2018 CODATA Value: speed of light in vacuum". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Planck constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2021-04-28.
- ^ "2018 CODATA Value: reduced Planck constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-08-28.
- ^ "2018 CODATA Value: Newtonian constant of gravitation". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: vacuum electric permittivity". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: vacuum magnetic permeability". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: characteristic impedance of vacuum". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-10-31.
- ^ "2018 CODATA Value: elementary charge". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: hyperfine transition frequency of Cs-133". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-08-18.
- ^ "2018 CODATA Value: Avogadro constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Boltzmann constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: conductance quantum". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Josephson constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ Huray, Paul G., 1941- (2010). Maxwell's equations. Hoboken, N.J.: Wiley. pp. 8, 57. ISBN 978-0-470-54991-9. OCLC 739118459.CS1 maint: multiple names: authors list (link)
- ^ "2018 CODATA Value: von Klitzing constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: magnetic flux quantum". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: inverse of conductance quantum". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Bohr magneton". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: nuclear magneton". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: fine-structure constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: inverse fine-structure constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: electron mass in u". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: proton mass". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: neutron mass". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-08-23.
- ^ "2018 CODATA Value: Bohr radius". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: classical electron radius". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: electron g factor". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2020-03-13.
- ^ "2018 CODATA Value: Fermi coupling constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Hartree energy". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: quantum of circulation". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Rydberg constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Thomson cross section". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: W to Z mass ratio". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-12-21.
- ^ "2018 CODATA Value: weak mixing angle". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: atomic mass constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Faraday constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: molar gas constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: molar mass constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Stefan–Boltzmann constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: first radiation constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: first radiation constant for spectral radiance". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: molar mass of carbon-12". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: molar Planck constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: second radiation constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Wien wavelength displacement law constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ "2018 CODATA Value: Wien frequency displacement law constant". The NIST Reference on Constants, Units, and Uncertainty. NIST. 20 May 2019. Retrieved 2019-05-20.
- ^ Delgado-Bonal A (May 2017). "Entropy of radiation: the unseen side of light". Scientific Reports. 7 (1): 1642. Bibcode:2017NatSR...7.1642D. doi:10.1038/s41598-017-01622-6. PMC 5432030. PMID 28490790.
- ^ "Fundamental Physical Constants from NIST".
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