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Physics and Chemistry Constants Table

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Constant Name Symbol Value Dimension Definition (Notes)
acceleration due to gravity g 9.80665 m/s2
atomic mass unit, unified u 1.660538782(83) × 10-27 kg (Mass of 12C)/12
astronomical unit au 1.4959787066(30) × 1011 m Mean Earth to Sun distance
Avogadro constant R 6.02214179(30) × 1023 mol-1 Particles in a mole of substance
Bohr magneton µB 9.27400915(23) × 10-24 m2•A
Bohr radius aoo 5.2917720859(36) × 10-11 m = α/(4πR)
Boltzmann constant k 1.3806504(24) × 10-23 J/K
Charge/Quantum ratio 2.417989454(60) × 1014 A/J = e/h
Conductance quantum G0 7.7480917004(53) × 10-5 S = 2e2/h
day, mean sidereal dsidereal 86164.090530833 s 23h + 56m +4.090 530833s
deuteron (2H) mass md 3.34358320(17) × 10-27 Kg 1875.612793(47) MeV/c2 = 2.013553212724(78) u
Earth mass ME 5.9736(76) × 1024 Kg
Earth radius (equatorial) RE 6.37814 × 106 m
electron charge magnitude eV 1.602176487(40) × 10-19 C
electron rest mass me 9.10938215(45) × 10-31 Kg 0.510998910(13) MeV = 5.4857990942(23) × 10-4 u
electron radius, classical re 2.8179402894(58) × 10-15 m = e2(4πε0mec2)
electron Compton wavelength λe 2.4263102175(33) × 10-12 m = h/cme
fine structure constant α 7.2973525376(50) × 10-3 N/A = μ0ce2/2h
gravitation constant G 6.67428(67) × 10-11 m3/(kg.s2) = GM1M2/r122
Hubble constant H0 2.29(13) × 10-18 s-1
Josephson constant KJ 4.83597891(12) × 10-14 Hz/V = 2e/h
light year (deprecated) ly 9.4607304 × 1016 m
magnetic constant (vacuum permeability) µ0 2.067833667(52) × 10-15 W.b = h/2e
magnetic flux quantum Φ0 1.2566370614 × 10-6 N·A-2 = 4π × 10-7 N·A-2
Naperian (natural) logarithm base e 2.718281828459045235
nuclear magneton µN 5.05078324(13) × 10-27 Kg
parsec (au/arcsec) pc 3.08568025 × 1016 m
permittivity of free space ε0 8.854187817 × 10-12 F/m
Planck constant h 6.62606896(33) × 10-34 J.s
Planck constant, reduced (Angular) hbar 1.054 571628(53) × 10-34 J.s
Planck length lp 1.616252(81) × 10-35 m = ctp
Planck mass mp 2.17644(11) × 10-8 kg = √(h/2π)c/G
Planck time tp 5.39124(27) × 10-44 s = (h/2π)/mpc2
Planck temperature 1.416785(71) × 1032 K = mpc2/k
proton rest mass mp 1.672621637(83) × 10-27 kg
Quantum of circulation 3.6369475199(50) × 10-4 m2/s = h/2me
Rydberg energy R 1.0973731568527(73) × 107 m-1 = cα2me/2h
speed of light in vacuum c 2.99792458 × 108 m/s
Stefan-Boltzmann constant σ 5.6704(40) × 10-8 W/(m2 K4) = 2π5k4/15h3c2
Thompson cross section σT 6.6524 × 10-29 m2 = 8π.r02/3
Wien displacement law constant b 2.8977685(51) × 10-3 m.K
year, sidereal (fixed star to fixed star, 1994) ysidereal 31558149.8 s
year, tropical (equinox to equinox, 1994) y 31556925.2 s
Von Klitzing constant RK 2.5812807557(18) × 104 Ω = h/e2

Mathematics Constants Table

Constant Name Symbol Value
Pi π 3.141592653589793
Euler's number, base of Natural logarithm e 2.718281828459045
Euler-Mascheroni constant γ 0.5772156649015329
Golden ratio f 1.6180339887498948
Plastic constant ρ 1.324717957244746
Embree-Trefethen constant ß 0.70258
Feigenbaum constant d 4.6692016091029907
Feigenbaum constant a 2.5029078750958928
Twin prime constant C2 0.6601618158468696
Meissel-Mertens constant M1 0.2614972128476428
Brun's constant B2 1.9021605823
Brun's constant B4 0.87058838
de Bruijn-Newman constant Λ -0.0000000027
Catalan's constant K 0.915965594177219
Landau-Ramanujan constant K 0.7642236535892207
Viswanath's constant K 1.13198824
Ramanujan-Soldner constant µ 1.4513692348833811
Erdos-Borwein constant EB 1.6066951524152918
Bernstein's constant ß 0.2801694990238691
Gauss-Kuzmin-Wirsing constant λ 0.3036630028987327
Hafner-Sarnak-McCurley constant s 0.353236371854996
Golomb-Dickman constant µ 0.6243299885435509
Cahen's constant 0.6434105463
Laplace limit 0.6627434193491816
Alladi-Grinstead constant 0.8093940205
Lengyel's constant Λ 1.0986858055
Levy's constant 3.2758229187218112
Apery's constant ζ 1.2020569031595943
Mill's constant θ 1.3063778838630807
Backhouse's constant 1.4560749485826897
Poerter's constant 1.4670780794
Lieb's constant 1.5396007178
Niven's constant 1.7052111401053678
Sierpinski's constant K 2.5849817595792532
Khinchin's constant 2.6854520010653064
Fransen-Robinson constant F 2.8077702420285194
Parabolic constant P2 2.2955871493926381
Omega constant Ω 0.5671432904097839
MRB constant 0.187859