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All Physics

Physical constants

75 constants from the 2022 CODATA adjustment. Values are exact as published; a blank uncertainty means the constant is exact by definition.

Universal

Quantity Symbol Value Uncertainty Unit
speed of light in vacuum c 299 792 458 exact m·s−1
Newtonian constant of gravitation G 6.674 30 e-11 0.000 15 e-11 m3·kg−1·s−2
Planck constant h 6.626 070 15 e-34 exact J·Hz−1
reduced Planck constant ħ 1.054 571 817... e-34 exact J·s
Planck constant in eV/Hz h 4.135 667 696... e-15 exact eV·Hz−1
vacuum electric permittivity ε₀ 8.854 187 8188 e-12 0.000 000 0014 e-12 F·m−1
vacuum magnetic permeability μ₀ 1.256 637 061 27 e-6 0.000 000 000 20 e-6 N·A−2
characteristic impedance of vacuum Z₀ 376.730 313 412 0.000 000 059 ohm
Planck length lP 1.616 255 e-35 0.000 018 e-35 m
Planck mass mP 2.176 434 e-8 0.000 024 e-8 kg
Planck time tP 5.391 247 e-44 0.000 060 e-44 s
Planck temperature TP 1.416 784 e32 0.000 016 e32 K

Electromagnetic

Quantity Symbol Value Uncertainty Unit
elementary charge e 1.602 176 634 e-19 exact C
magnetic flux quantum Φ₀ 2.067 833 848... e-15 exact Wb
conductance quantum G₀ 7.748 091 729... e-5 exact S
Josephson constant KJ 483 597.848 4... e9 exact Hz·V−1
von Klitzing constant RK 25 812.807 45... exact ohm
Bohr magneton μB 9.274 010 0657 e-24 0.000 000 0029 e-24 J·T−1
nuclear magneton μN 5.050 783 7393 e-27 0.000 000 0016 e-27 J·T−1
electron magnetic moment μe -9.284 764 6917 e-24 0.000 000 0029 e-24 J·T−1
proton magnetic moment μp 1.410 606 795 45 e-26 0.000 000 000 60 e-26 J·T−1
neutron magnetic moment μn -9.662 3653 e-27 0.000 0023 e-27 J·T−1
electron g factor ge -2.002 319 304 360 92 0.000 000 000 000 36

Atomic and nuclear

Quantity Symbol Value Uncertainty Unit
fine-structure constant α 7.297 352 5643 e-3 0.000 000 0011 e-3
inverse fine-structure constant 1/α 137.035 999 177 0.000 000 021
Rydberg constant R∞ 10 973 731.568 157 0.000 012 m−1
Rydberg constant times hc in eV R∞hc 13.605 693 122 990 0.000 000 000 015 eV
Bohr radius a₀ 5.291 772 105 44 e-11 0.000 000 000 82 e-11 m
Hartree energy Eh 4.359 744 722 2060 e-18 0.000 000 000 0048 e-18 J
Hartree energy in eV Eh 27.211 386 245 981 0.000 000 000 030 eV
classical electron radius re 2.817 940 3205 e-15 0.000 000 0013 e-15 m
Thomson cross section σe 6.652 458 7051 e-29 0.000 000 0062 e-29 m2
Compton wavelength λC 2.426 310 235 38 e-12 0.000 000 000 76 e-12 m
electron mass me 9.109 383 7139 e-31 0.000 000 0028 e-31 kg
electron mass energy equivalent in MeV mec² 0.510 998 950 69 0.000 000 000 16 MeV
proton mass mp 1.672 621 925 95 e-27 0.000 000 000 52 e-27 kg
proton mass energy equivalent in MeV mpc² 938.272 089 43 0.000 000 29 MeV
neutron mass mn 1.674 927 500 56 e-27 0.000 000 000 85 e-27 kg
neutron mass energy equivalent in MeV mnc² 939.565 421 94 0.000 000 48 MeV
deuteron mass md 3.343 583 7768 e-27 0.000 000 0010 e-27 kg
alpha particle mass mα 6.644 657 3450 e-27 0.000 000 0021 e-27 kg
muon mass mμ 1.883 531 627 e-28 0.000 000 042 e-28 kg
proton-electron mass ratio mp/m_e 1836.152 673 426 0.000 000 032
proton rms charge radius rp 8.4075 e-16 0.0064 e-16 m
atomic mass constant mu 1.660 539 068 92 e-27 0.000 000 000 52 e-27 kg
atomic mass constant energy equivalent in MeV muc² 931.494 103 72 0.000 000 29 MeV

Physico-chemical

Quantity Symbol Value Uncertainty Unit
Avogadro constant NA 6.022 140 76 e23 exact mol−1
Boltzmann constant k 1.380 649 e-23 exact J·K−1
Boltzmann constant in eV/K k 8.617 333 262... e-5 exact eV·K−1
molar gas constant R 8.314 462 618... exact J·mol−1·K−1
Faraday constant F 96 485.332 12... exact C·mol−1
molar volume of ideal gas (273.15 K, 101.325 kPa) Vm 22.413 969 54... e-3 exact m3·mol−1
Loschmidt constant (273.15 K, 101.325 kPa) n₀ 2.686 780 111... e25 exact m−3
Stefan-Boltzmann constant σ 5.670 374 419... e-8 exact W·m−2·K−4
Wien wavelength displacement law constant b 2.897 771 955... e-3 exact m·K
Wien frequency displacement law constant b′ 5.878 925 757... e10 exact Hz·K−1
first radiation constant c₁ 3.741 771 852... e-16 exact W·m2
second radiation constant c₂ 1.438 776 877... e-2 exact m·K
molar Planck constant NAh 3.990 312 712... e-10 exact J·Hz−1·mol−1

Adopted exact values

Quantity Symbol Value Uncertainty Unit
standard acceleration of gravity gn 9.806 65 exact m·s−2
standard atmosphere atm 101 325 exact Pa
standard-state pressure 100 000 exact Pa
hyperfine transition frequency of Cs-133 ΔνCs 9 192 631 770 exact Hz
luminous efficacy Kcd 683 exact lm·W−1
electron volt eV 1.602 176 634 e-19 exact J

Unit relationships

Quantity Symbol Value Uncertainty Unit
electron volt-joule relationship 1.602 176 634 e-19 exact J
joule-electron volt relationship 6.241 509 074... e18 exact eV
atomic mass unit-kilogram relationship 1.660 539 068 92 e-27 0.000 000 000 52 e-27 kg
atomic mass unit-electron volt relationship 9.314 941 0372 e8 0.000 000 0029 e8 eV
kilogram-joule relationship 8.987 551 787... e16 exact J
kelvin-joule relationship 1.380 649 e-23 exact J
kelvin-electron volt relationship 8.617 333 262... e-5 exact eV
hertz-joule relationship 6.626 070 15 e-34 exact J
hertz-electron volt relationship 4.135 667 696... e-15 exact eV
inverse meter-joule relationship 1.986 445 857... e-25 exact J

Values from the CODATA 2022 adjustment, published by NIST — a work of the United States government and in the public domain. The complete listing of 355 constants is at physics.nist.gov/cuu/Constants.