Name Expression/Symbol Value (SI units) Unit Category Notes
Planck length
{\displaystyle l_{\text{P}}={\sqrt {\frac {\hbar G}{c^{3}}}}}
1.616229E-35 m Natural Unit
Planck mass
{\displaystyle m_{\text{P}}={\sqrt {\frac {\hbar c}{G}}}}
2.176470E-08 kg Natural Unit
Planck time
{\displaystyle t_{\text{P}}={\frac {l_{\text{P}}}{c}}={\frac {\hbar }{m_{\text{P}}c^{2}}}={\sqrt {\frac {\hbar G}{c^{5}}}}}
5.39116E-44 s Natural Unit
Planck charge
{\displaystyle q_{\text{P}}={\sqrt {4\pi \varepsilon _{0}\hbar c}}}
1.875545956E-18 C Natural Unit
Planck temperature
{\displaystyle T_{\text{P}}={\frac {m_{\text{P}}c^{2}}{k_{\text{B}}}}={\sqrt {\frac {\hbar c^{5}}{Gk_{\text{B}}^{2}}}}}
1.416808E+32 K Natural Unit
speed of light in vacuum
{\displaystyle c}
299792458 m⋅s−1 Universal Constant defined
Newtonian constant of gravitation {\displaystyle G} 6.67408E-11 m3⋅kg−1⋅s−2 Universal Constant
Planck constant {\displaystyle h} 6.626070040E-34 J⋅s Universal Constant
reduced Planck constant {\displaystyle \hbar =h/2\pi } 1.054571800E-34 J⋅s Universal Constant
magnetic constant (vacuum permeability) {\displaystyle \mu _{0}} 1.2566370614359200E-06 N⋅A−2 Electromagnetic constant defined
electric constant (vacuum permittivity) {\displaystyle \varepsilon _{0}=1/\mu _{0}c^{2}} 8.854187817E-12 F⋅m−1 Electromagnetic constant defined
characteristic impedance of vacuum
{\displaystyle Z_{0}=\mu _{0}c}
376.730313461 Ω Electromagnetic constant defined
Coulomb’s constant {\displaystyle k_{\mathrm {e} }=1/4\pi \varepsilon _{0}} 8987551787.36817 kg⋅m3⋅s−4⋅A−2 Electromagnetic constant defined
elementary charge
{\displaystyle e}
1.6021766208E-19 C Electromagnetic constant
Bohr magneton {\displaystyle \mu _{\mathrm {B} }=e\hbar /2m_{\mathrm {e} }} 9.274009994E-24 J⋅T−1 Electromagnetic constant
conductance quantum
{\displaystyle G_{0}=2e^{2}/h}
7.748091731E-05 S Electromagnetic constant
inverse conductance quantum {\displaystyle G_{0}^{-1}=h/2e^{2}} 12906.4037278 Ω Electromagnetic constant
Josephson constant
{\displaystyle K_{\mathrm {J} }=2e/h}
4.835978525E+14 Hz⋅V−1 Electromagnetic constant
magnetic flux quantum
{\displaystyle \phi _{0}=h/2e}
2.067833831E-15 Wb Electromagnetic constant
nuclear magneton {\displaystyle \mu _{\mathrm {N} }=e\hbar /2m_{\mathrm {p} }} 5.050783699E-27 J⋅T−1 Electromagnetic constant
von Klitzing constant
{\displaystyle R_{\mathrm {K} }=h/e^{2}}
25812.8074555 Ω Electromagnetic constant
Bohr radius
{\displaystyle a_{0}=\hbar /\alpha m_{e}c}
5.2917721067E-11 m Atomic/nuclear constant
classical electron radius
{\displaystyle r_{\mathrm {e} }=e^{2}/4\pi \varepsilon _{0}m_{\mathrm {e} }c^{2}}
2.8179403227E-15 m Atomic/nuclear constant
electron mass
{\displaystyle m_{\mathrm {e} }}
9.10938356E-31 kg Atomic/nuclear constant
Fermi coupling constant {\displaystyle G_{\mathrm {F} }/(\hbar c)^{3}} 1.1663787E-05 GeV−2 Atomic/nuclear constant
fine-structure constant
{\displaystyle \alpha =\mu _{0}e^{2}c/2h=e^{2}/4\pi \varepsilon _{0}\hbar c}
0.0072973525664 Atomic/nuclear constant
Hartree energy
{\displaystyle E_{\mathrm {h} }=2R_{\infty }hc}
4.35974465E-18 J Atomic/nuclear constant
proton mass
{\displaystyle m_{\mathrm {p} }}
1.672621898E-27 kg Atomic/nuclear constant
quantum of circulation {\displaystyle h/2m_{\mathrm {e} }} 0.00036369475486 m2 s−1 Atomic/nuclear constant
Rydberg constant
{\displaystyle R_{\infty }=\alpha ^{2}m_{\mathrm {e} }c/2h}
10973731.568508 m−1 Atomic/nuclear constant
Thomson cross section
{\displaystyle (8\pi /3)r_{\mathrm {e} }^{2}}
6.6524587158E-29 m2 Atomic/nuclear constant
weak mixing angle
{\displaystyle \sin ^{2}\theta _{\mathrm {W} }=1-(m_{\mathrm {W} }/m_{\mathrm {Z} })^{2}}
0.2223 Atomic/nuclear constant
Efimov factor 22.7 Atomic/nuclear constant
Atomic mass constant
{\displaystyle m_{\mathrm {u} }=1\,\mathrm {u} }
1.660539040E-27
kg Physico-chemical constant
Avogadro constant
{\displaystyle N_{\mathrm {A} },L}
6.022140857E+23
mol−1 Physico-chemical constant
Boltzmann constant
{\displaystyle k=k_{\mathrm {B} }=R/N_{\mathrm {A} }}
1.38065E-23
J⋅K−1 Physico-chemical constant
Faraday constant
{\displaystyle F=N_{\mathrm {A} }e}
96485.33289
C⋅mol−1 Physico-chemical constant
first radiation constant
{\displaystyle c_{1}=2\pi hc^{2}}
3.74177E-16
W⋅m2 Physico-chemical constant
first radiation constant {\displaystyle c_{\mathrm {1L} }=c_{1}/\pi } 1.191042953E-16 W⋅m2⋅sr−1 Physico-chemical constant for spectral radiance
Loschmidt constant
{\displaystyle n_{0}=N_{\mathrm {A} }/V_{\mathrm {m} }}
2.6867811E+25
m−3 Physico-chemical constant
at {\displaystyle T} = 273.15 K and {\displaystyle p} = 101.325 kPa
gas constant
{\displaystyle R}
8.3144598
J⋅mol−1⋅K−1 Physico-chemical constant
molar Planck constant {\displaystyle N_{\mathrm {A} }h} 3.9903127110E-10 J⋅s⋅mol−1 Physico-chemical constant
molar volume of an ideal gas
{\displaystyle V_{\mathrm {m} }=RT/p}
0.022710947
m3⋅mol−1 Physico-chemical constant
at {\displaystyle T} = 273.15 K and {\displaystyle p} = 100 kPa
molar volume of an ideal gas
{\displaystyle V_{\mathrm {m} }=RT/p}
0.022413962
m3⋅mol−1 Physico-chemical constant at {\displaystyle T} = 273.15 K and {\displaystyle p} = 101.325 kPa
Sackur–Tetrode constant
{\displaystyle S_{0}/R={\frac {5}{2}}+\ln \left[(2\pi m_{\mathrm {u} }kT/h^{2})^{3/2}kT/p\right]}}
-1.1517084
Physico-chemical constant
at {\displaystyle T} = 1 K and {\displaystyle p} = 100 kPa
Sackur–Tetrode constant
{\displaystyle S_{0}/R={\frac {5}{2}}+\ln \left[(2\pi m_{\mathrm {u} }kT/h^{2})^{3/2}kT/p\right]}}
-1.1648714 Physico-chemical constant
at {\displaystyle T} = 1 K and {\displaystyle p} = 101.325 kPa
second radiation constant
{\displaystyle c_{2}=hc/k}
0.0143877736
m⋅K Physico-chemical constant
Stefan–Boltzmann constant {\displaystyle \sigma =\pi ^{2}k^{4}/60\hbar ^{3}c^{2}} 5.670367E-08 W⋅m−2⋅K−4 Physico-chemical constant
Wien displacement law constant
0.002897773
m⋅K Physico-chemical constant
Wien-Bonal entropy displacement law constant
0.003002915
m⋅K Physico-chemical constant
conventional value of Josephson constant
{\displaystyle K_{\mathrm {J-90} }}
4.835979E+14
Hz⋅V−1 Adopted value defined
conventional value of von Klitzing constant
{\displaystyle R_{\mathrm {K-90} }}
25812.807
Ω Adopted value defined
molar mass
{\displaystyle M_{\mathrm {u} }=M({}^{12}\mathrm {C} )/12}
0.001
kg⋅mol−1 Adopted value defined; constant
molar mass
{\displaystyle M({}^{12}\mathrm {C} )=N_{\mathrm {A} }m({}^{12}\mathrm {C} )}
0.012
kg⋅mol−1 Adopted value defined; of carbon-12
standard acceleration of gravity
{\displaystyle g_{\mathrm {n} }}
9.80665
m⋅s−2 Adopted value gee, free-fall on Earth; defined
standard atmosphere {\displaystyle \mathrm {atm} } 101325 Pa Adopted value defined
Caesium standard (defines the SI second) \Delta \nu_{Cs} 9192631770 Hz Adopted value defined
Name Expression/Symbol Value (SI units) Unit Category Notes
speed of light in vacuum
{\displaystyle c}
299792458 m⋅s−1 Universal Constant defined
Planck constant {\displaystyle h} 6.626070040E-34 J⋅s Universal Constant
reduced Planck constant {\displaystyle \hbar =h/2\pi } 1.054571800E-34 J⋅s Universal Constant
magnetic constant (vacuum permeability) {\displaystyle \mu _{0}} 1.2566370614359200E-06 N⋅A−2 Electromagnetic constant defined
electric constant (vacuum permittivity) {\displaystyle \varepsilon _{0}=1/\mu _{0}c^{2}} 8.854187817E-12 F⋅m−1 Electromagnetic constant defined
elementary charge
{\displaystyle e}
1.6021766208E-19 C Electromagnetic constant
electron mass {\displaystyle m_{\mathrm {e} }} 9.10938356E-31 kg Atomic/nuclear constant
proton mass {\displaystyle m_{\mathrm {p} }} 1.672621898E-27 kg Atomic/nuclear constant
Atomic mass constant {\displaystyle m_{\mathrm {u} }=1\,\mathrm {u} }
1.660539040E-27
kg Physico-chemical constant
Avogadro constant
{\displaystyle N_{\mathrm {A} },L}
6.022140857E+23
mol−1 Physico-chemical constant
Boltzmann constant
{\displaystyle k=k_{\mathrm {B} }=R/N_{\mathrm {A} }}
1.38065E-23
J⋅K−1 Physico-chemical constant
gas constant
{\displaystyle R}
8.3144598
J⋅mol−1⋅K−1 Physico-chemical constant
molar volume of an ideal gas {\displaystyle V_{\mathrm {m} }=RT/p} 0.022413962 m3⋅mol−1 Physico-chemical constant at {\displaystyle T} = 273.15 K and {\displaystyle p} = 101.325 kPa
Stefan–Boltzmann constant
{\displaystyle \sigma =\pi ^{2}k^{4}/60\hbar ^{3}c^{2}}
5.670367E-08
W⋅m−2⋅K−4 Physico-chemical constant
Wien displacement law constant
{\displaystyle b_{\text{energy}}=hck^{-1}/}
0.002897773
m⋅K Physico-chemical constant
standard acceleration of gravity
{\displaystyle g_{\mathrm {n} }}
9.80665
m⋅s−2 Adopted value gee, free-fall on Earth; defined
standard atmosphere {\displaystyle \mathrm {atm} } 101325 Pa Adopted value defined

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