Constants

Dimensional Constants
Dimensionless Constants

Dimensional Constants

a0 = 0.05291772083(19) ± 3.7 × 10−11 nm (Bohr radius)
a0 = 2 × 10−8 cm/s2
aP = 5.6 × 1051 m/s2 (Planck acceleration)
AP = 1.855 × 1043 Bq
AP = 2.61 × 10−70 m
b = 2.8977686(51) ± 1.7 × 10−6 mm·K
BP = 2.52 × 1054 T (Planck magnetic flux density)
c = 1.0792528488 × 109 km/h = 1 lux = 299.792458 Mm/s = 1 vP (Einstein's constant/Planck velocity)
c2 = 9 × 1016 m2/s2
c1 = 3.74177107(29) × 10−16 ± 7.8 × 10−24 W·m2
c2 = 0.014387752(25) ± 1.7 × 10−8 m·°K
CP = 1.312 × 10−47 F (Planck capacitance)
e = 160.2176462(63) ± 3.9 × 10−6 zC (elementary charge)
e/h = 2.41798940(21) × 1014 A/J ± 8.5 × 10−6%
ε0 = 8.8541878176204 pF/m (electric constant)
Eh = 27.2113834(11) ± 3.9 × 10−7 eV = 4.35974381(34) × 10−18 ± 7.8 × 10−26 J
EP = 1.22 × 1028 eV = 1.9561 GJ (Planck energy)
EP = 6.5 × 1061 V/m (Planck electric field strength)
fA = 2.5 × 1011 eV
fP = 1.855 × 1043 Hz
F = 96,485.3415(39) ± 0.0004 C/mol
FP = 1.21027 × 1044 N (Planck force)
Φ0 = 2.067833636(81) × 10−15 ± 3.9 × 10−23 Wb (magnetic flux quantum)
ΦP = 6.582 × 10−16 Wb
g0 = 9.80665 m/s2
G = 6.67259(85) × 10−11 m3/kg/s2 (Newton's gravitational constant)
G0 = 77.48091733(26) μS ± 3.3 × 10−7% (conductance quantum)
G0−1 = 12,906.403725(43) Ω ± 3.3 × 10−7% (inverse conductance quantum)
Gβ = 1.136 × 10−23/eV2
GF = 0.0000116639 ± 2 × 10−10/GeV2


GP = 0.0002434 S (Planck conductance)
h = 4.13566727(16) × 10−15 ± 3.9 × 10−23 eV·s = 6.62606876(52) × 10−34 ± 7.8 × 10−42 J·s (Planck's constant)
hc = 1,239.8 eV·nm = 1.9864 × 10−25 J·m
h/e = 4.135701(11) × 10−15 J/Hz/C


H = 71 ± 4 km/s/Mpc
IP = 3.4793(22) × 1025 A (Planck current)
k = 0.0000861734215 ± 1.7 × 10−11 eV/K = 1 SP = 13.806503(24) ± 0.000017 yJ/K (Boltzmann constant/Planck entropy)
κ = 2.076(3) × 10−43 s2/(kg·m) (gravitational coupling constant)
Ke = 8.9875517873682 × 109 m/F (Coulomb force/electrostatic constant)
Kee2 = 1.43996 eV·nm = 2.30708 × 10−28 J·m
KJ = 483.597879(41) THz/V ± 8.5 × 10−6% (Josephson constant)
lP = 5.39121(40) × 10−44 ls ± 0.0075% = 10−51 ly = 1.61624(12) × 10−35 m ± 0.0075% (Planck length)
LP = 2.215 × 10−40 H (Planck inductance)
Λ = 10−52/m2
ΛC = 1.6 TeV
Λs = 200 MeV
mmax = 8.7 × 1023 eV/c2
mP = 21.7645(16) μg ± 0.0075% (Planck mass)
mSSB = 5.05 × 1011 eV/c2
mu = 1.492 × 10−10 J/c2 = 1.66053873(13) × 10−27 ± 7.9 × 10−35 kg = 931.494043(80) MeV/c2
μ0 = 1.256637061435917295 μH/m = 4π × 10−7 H/m (magnetic constant)
μB = 0.00005788381749(43) ± 7.3 × 10−14 eV/T = 9.27400899(37) ± 4 × 10−8 yJ/T (Bohr magneton)
μB/h = 1.39962458(12) × 1010 Hz/T ± 8.6 × 10−6%
μB/(hc) = 46.6864507(40)/m/T ± 8.6 × 10−6%
μB/k = 0.6717131(12) K/T ± 0.00018%
μN = 3.152451259(21) × 10−8 eV/T ± 6.7 × 10−7% = 5.05078343(43) × 10−27 J/T ± 8.6 × 10−6% (nuclear magneton)
μN/h = 7.62259371(65) MHz/T ± 8.6 × 10−6%
μN/(hc) = 0.0254262358(22)/m/T ± 8.6 × 10−6%
μN/k = 0.00036582637(64) K/T ± 0.00018%
NA = 6.02214199(47) × 1023 ± 7.9 × 1015/mol (Avogadro's number)
pP = 6.5 N·s (Planck momentum)
PP = 3.62831 × 1052 W (Planck power)
PP = 4.635 × 10113 Pa
qP = 1.8755459 aC = 11.7 e (Planck charge)
ρc = 4.5 × 10−25 kg/m3
ρP = 5.155 × 1095 kg/m3 (Planck density)
R = 1.9872 cal/(K·mol) = 8.314472(15) J/(mol·K) = 0.0820562(35) L·atm/(K·mol) (molar gas constant)
R = 0.001097/Å = 1.0973731568549(83) × 107 ± 0.000076/m (Rydberg constant)
RH = 13.60569172(53) ± 3.9 × 10−7 eV = 2.17987190(17) × 10−18 ± 7.8 × 10−26 J = 1.3120 MJ/mol
RK = 25,812.807449(86) Ω ± 3.3 × 10−7% (von Klitzing constant)
RP = 4,108 Ω (Planck resistance)
σ = 5.6704004 × 10−8 ± 7 × 10−14 W/(m·°K4)

tH = 2.5 × 1010 a
tP = 10−51 a = 5.39121(40) × 10−44 s ± 0.0075% (Planck time)

TP = 1.41679(11) × 1032 K ± 0.0075% (Planck temperature)
v = 252.514 GeV/c2
Vm(STP) = 0.022413996(39) m3/mol (molar volume of ideal gas at STP)
VμS = −2 × 10−13 eV
VP = 1.221 × 1028 V (Planck voltage)
Z0 = 376.73031346177 Ω (characteristic impedance of vacuum)

Dimensionless Constants

α = 0.007297352568(24) (fine structure constant)
α−1 = 137.03599911(46)
αG = 5.9 × 10−39
α(mWc2)−1 = 128
α(mZc2)−1 = 128.89
α2−1 ≈ 30
αS = 1
αS(~1 GeV) ≈ 0.3
αS(~100 GeV) ≈ 0.1
αS(2 GeV) = 0.39
αS(245 MeV) = 0.6286
αS(5 GeV) = 0.216
αS(5.3 GeV) = 0.166
αS(34 GeV) = 0.121
αS(90 GeV) = 0.118
αS(91 GeV) = 0.106
αS(mZc2) = 0.1187(20)
αW = 10−13
αW(mZc2)−1 = 30.1(3)
e = 2.71828182845904523536028747135266249775724709369996
e−1 = 0.36787944117144232159552377016143086744581113103177
e2 = 7.38905609893065022723042746057500781318031557055184
eπ = 23.1406926327792690057290864
eπ = 0.0432139182637722497744177
φ = 1.61803398874989484820458683436563811772030918
g1 = 0.33566
g12 = 0.11267
g2 = 0.66434
g22 = 0.44135
γ = 0.57721566490153386061
gγ = 0.37 (DFSZ)
gγ = −0.96 (KSVZ)
gV^νμe = 0.3009 ± 0.0015
ii = 0.2078795763507619085469556
M = 0.43429448190325182765112891891660508229439700580367
M−1 = 2.30258509299404568401799145468436420760110148862877
π = 3.14159265358979323846264338327950288419716939937511
π−1 = 0.31830988618379067153776752674502872406891929148091
π2 = 9.86960440108935861883449099987615113531369940724079
π−2 = 0.1013212
π3 = 31.0062767
πe = 22.4591577183610454734271522
Pogson ratio = 2.512 = 1001/5
θC = 13°
θW = 28.7°

ξ = 0.2224(19) ± 0.00087