Data:CODATA Recommended Values of the Fundamental Physical Constants 1973

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Quantity Symbol Value ur
Permeability of vacuum (magnetic constant) μ0  × 10−7 H m−1
≈ 1.256 637 061… × 10−6 H m−1
exact
[note 1]
Speed of light in vacuum c0 2.997 924 58(1.2) × 108 m s−1 4 × 10−9
Permittivity of vacuum (electric constant) ε0 = (μ0c20)−1 8.854 187 82(7) × 10−12 F m−1 8 × 10−9
Planck constant h
ħ = h/2π
6.626 176 × 10−34 J s
1.054 5887(57) × 10−34 J s
5.4 × 10−6
5.4 × 10−6
Fine structure constant α = μ0c0e2/2h
α−1
0.007 297 3506(60)
137.036 04(11)
8.2 × 10−7
8.2 × 10−7
Gravitational constant G 6.6720(41) × 10−11 N m2 kg−2 6.15 × 10−4
Rydberg constant R 1.097 373 177(83) × 10−7 m−1 7.5 × 10−8
Elementary charge e 1.602 1892(46) × 10−19 C 2.9 × 10−6
Avogadro constant NA 6.022 045(31) × 1023 mol−1 5.1 × 10−6
Atomic mass unit
(atomic mass constant)
1 u = (10−3 kg mol−1)/NA
mu
1.660 5655(86) × 10−27 kg 5.1 × 10−6
Faraday constant F = NAe 9.648 456(27) × 104 C mol−1 2.8 × 10−6
Molar gas constant R 8.314 41(26) J K−1 mol−1 3.1 × 10−5
Boltzmann constant k = R/NA 1.380 662(44) × 10−23 J K−1 3.2 × 10−5
Molar volume, ideal gas (T0 = 273.15 K, p0 = 1 atm) Vm = RT0/p0 0.022 413 83(70) m3 mol−1 3.1 × 10−5
Stefan–Bolzmann constant σ = (π2/60)k4/ħ3c20 5.670 32(71) × 10−8 W m−2 K−4 1.25 × 10−4
First radiation constant c1 = 2πhc20 3.741 832(20) × 10−16 W m2 5.4 × 10−6
Second radiation constant c2 = hc0/k 0.014 387 86(45) m K 3.1 × 10−5
Electron rest mass me 9.109 534(47) × 10−31 kg
5.485 8026(21) × 10−4 u
5.1 × 10−6
3.8 × 10−7
Muon rest mass mμ 1.883 566(11) × 10−28 kg
0.113 429 20(26) u
5.6 × 10−6
2.3 × 10−6
Proton rest mass mp 1.672 6485(86) × 10−27 kg
1.007 276 470(11) u
5.1 × 10−6
1.1 × 10−8
Neutron rest mass mn 1.674 9543(86) × 10−27 kg
1.008 665 012(37) u
5.1 × 10−6
3.7 × 10−8
Ratio, proton mass to electron mass mp/me 1836.151 52(70) 3.8 × 10−7
Ratio, muon mass to electron mass mμ/me 206.768 65(47) 2.3 × 10−6
Bohr magneton μB = /2me 9.274 078(36) × 10−24 J T−1 3.9 × 10−6
Nuclear magneton μN = /2mp 5.050 824(20) × 10−27 J T−1 3.9 × 10−6
Electron magnetic moment μe 9.284 832(36) × 10−24 J T−1 3.9 × 10−6
Electron g-factor ½ge = μe/μB 1.001 159 6567(35) 3.5 × 10−9
Muon magnetic moment μμ 4.490 474(18) × 10−26 J T−1 3.9 × 10−6
Muon g-factor ½gμ 1.001 166 16(31) 3.1 × 10−7
Proton magnetic moment μp 1.410 6171(55) × 10−26 J T−1 3.9 × 10−6
Proton magnetic moment in Bohr magnetons μp/μB 1.521 032 209(16) × 10−3 1.1 × 10−8
Proton moment in nuclear magnetons μp/μN 2.792 8456(11) 3.8 × 10−7
Ratio, electron to proton magnetic moments μe/μp 658.210 6880(66) 1.0 × 10−8
Ratio, muon moment to proton moment μμ/μp 3.183 3402(72) 2.3 × 10−6
Proton gyromagnetic ratio γp 2.675 1987(75) × 108 s−1 T−1 2.8 × 10−6
Diamagnetic shielding factor, spherical H2O sample 1 + σ(H2O) 1.000 025 637(67) 6.7 × 10−8
Proton gyromagnetic ratio (uncorrected) γp
γp/2π
2.675 1301(75) × 108 s−1 T−1
42.576 02(12) MHz T−1
2.8 × 10−6
2.8 × 10−6
Proton moment in nuclear magnetons (uncorrected) μp/μN 2.792 7740(11) 3.8 × 10−7
Bohr radius a0 = α/4πR 5.291 7706(44) × 10−11 m 8.2 × 10−7
Josephson frequency–voltage ratio
(Josephson constant)
e/2h
KJ
483.5939(13) THz V−1 2.6 × 10−6
Magnetic flux quantum Φ0 = h/2e
h/e
2.067 8506(54) × 10−15 Wb
4.135 701(11) × 10−15 J Hz−1 C−1
2.6 × 10−6
2.6 × 10−6
Quantum of circulation h/2me
h/me
3.636 9455(60) × 10−4 J Hz−1 kg−1
7.273 891(12) × 10−4 J Hz−1 kg−1
1.6 × 10−6
1.6 × 10−6
Electron Compton wavelength λC(e) = α2/2R
λC(e) = λC(e)/2π = αa0
2.426 3089(40) × 10−12 m
3.861 5905(64) × 10−13 m
1.6 × 10−6
1.6 × 10−6
Proton Compton wavelength λC(p) = h/mpc0
λC(p) = λC(p)/2π
1.321 4099(22) × 10−15 m
2.103 0892(36) × 10−16 m
1.7 × 10−6
1.7 × 10−6
Neutron Compton wavelength λC(n) = h/mnc0
λC(n) = λC(n)/2π
1.319 5909(22) × 10−15 m
2.100 1941(35) × 10−16 m
1.7 × 10−6
1.7 × 10−6
Specific electron charge e/me 1.758 8047(49) × 1011 C kg−1 2.8 × 10−6

Notes

  1. The numerical value of the magnetic constant is fixed by the definition of the ampere.

Reference

Cohen, E. Richard; Taylor, B. N. The 1973 Least‐Squares Adjustment of the Fundamental Constants. J. Phys. Chem. Ref. Data 1973, 2 (4), 663–734. DOI: 10.1063/1.3253130.

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