MIT 3.091 Table of Fundamental Physical Constants This data is derived from the 1986 CODATA recommended values of the fundamental physical constants. It is not intended to be an authoritative source: typographical errors are possible and the data has been reformatted. You can find the more complete information from the NIST at http://physics.nist.gov/PhysRefData/codata86/codata86.html. #Constant Symbol Value Units Speed of light in vacuum (c) 299792458 m s-1 Permeability of vacuum (mu_0) 1.25663706143592e-06 N A-2 Permittivity of vacuum (epsilon_0) 8.854187817e-12 F m-1 Electrostatic Force Consant (1/4(*pi*eo)) 8.987552e+09 nt-m^2/coul^2 Constant of gravitation (G) 6.67259e-11 +/- 8.5e-15 kg-1 s-2 Planck constant (h) 6.6260755e-34 +/- 4.0e-40 J s Planck constant in eV 4.1356692e-15 +/- 1.2e-21 eV s h-bar (h-bar) 1.05457266e-34 +/- 6.3e-41 J s h-bar in eV 6.582122e-16 +/- 2.0e-22 eV s Planck mass (m_p) 2.17671e-08 +/- 1.4e-12 kg Planck length (l_p) 1.61605e-35 +/- 1.0e-39 m Planck time (t_p) 5.39056e-44 +/- 3.4e-48 s Elementary charge (e) 1.60217733e-19 +/- 4.9e-26 C Magnetic flux quantum (Phi_0) 2.06783461e-15 +/- 6.1e-22 Wb Josephson frequency-voltage quotient 483597670000000 +/- 1.4e+08 V-1 s-1 Quantized Hall conductance 3.87404614e-05 +/- 1.7e-12 Omega-1 Quantized Hall resistance (R_H) 25812.8056 +/- 0.0012 Omega Bohr magneton (mu_B) 9.2740154e-24 +/- 3.1e-30 J T-1 Bohr magneton in eV 5.78838263e-05 +/- 5.2e-12 eV T-1 Bohr magneton in Hz 13996241800 +/- 4200 T-1 s-1 Bohr magneton in wavenumbers 46.686437 +/- 1.4e-05 m-1 T-1 Bohr magneton in kelvins 0.6717099 +/- 5.7e-06 K T-1 Nuclear magneton (mu_N) 5.0507866e-27 +/- 1.7 e-33 J T-1 Nuclear magneton in eV 3.15245166e-08 +/- 2.8e-15 eV T-1 Nuclear magneton in Hz 7622591.4 +/- 2.3 T-1 s-1 Nuclear magneton in wavenumbers 0.0254262281 +/- 7.7e-09 m-1 T-1 Nuclear magneton in kelvins 0.0003658246 +/- 3.1e-09 K T-1 Fine structure constant (alpha) 0.00729735308 +/- 3.3e-10 Inverse fine structure constant 137.0359895 +/- 6.1e-06 Rydberg constant (Ry) 10973731.534 +/- 0.013 m-1 Rydberg constant in Hz 3.2898419499e+15 +/- 3.9 e+06s-1 Rydberg constant in joules 2.1798741e-18 +/- 1.3e-24 J Rydberg constant in eV 13.6056981 +/- 4.0e-06 eV Bohr radius (a_0) 5.29177249e-11 +/- 2.4e-18 m Hartree energy (E_h) 4.3597482e-18 +/- 2.6e-24 J Hartree energy in eV 27.2113961 +/- 8.1e-06 eV Quantum of circulation 0.000363694807 +/- 3.3e-11 m2 s-1 Electron mass (m_e) 9.1093897e-31 +/- 5.4e-37 kg Electron mass in u 0.000548579903 +/- 1.3e-11 u Electron mass in eV 510999.06 +/- 0.15 eV Electron-muon mass ratio 0.00483633218 +/- 7.1e-10 Electron-proton mass ratio 0.000544617013 +/- 1.1e-11 Electron-deuteron mass ratio 0.000272443707 +/- 6e-12 Electron-alpha-particle mass ratio 0.000137093354 +/- 3e-12 Electron specific charge -175881962000 +/- -53000 C kg-1 Electron molar mass 5.48579903e-07 +/- 1.3e-14 kg mol-1 Electron Compton wavelength (lambda_C) 2.42631058e-12 +/- 2.2e-19 m Electron Compton wavelength / 2 pi 3.86159323e-13 +/- 3.5e-20 m Electron classical radius (r_e) 2.81794092e-15 +/- 3.8e-22 m Electron Thomson cross section (sigma_e) 6.6524616e-29 +/- 1.8e-35 m2 Electron magnetic moment 9.2847701e-24 +/- 3.1e-30 J T-1 Electron magnetic moment (Bohr magnetons) 1.001159652193 +/- 1.0e-11 Electron mgntc moment (nuclear magnetons) 1838.282 +/- 3.7e-05 Electron magnetic moment anomaly (a_e) 0.001159652193 +/- 1.0e-11 Electron g-factor (g_e) 2.002319304386 +/- 2.0e-11 Electron-muon magnetic moment ratio 206.766967 +/- 3.0e-05 Electron-proton magnetic moment ratio 658.2106881 +/- 6.6e-06 Muon mass 1.8835327e-28 +/- 1.1e-34 kg Muon mass in u 0.113428913 +/- 1.7e-08 u Muon mass in eV 105658389 +/- 34 eV Muon-electron mass ratio 206.768262 +/- 3.0e-05 Muon molar mass 0.000113428913 +/- 1.7e-11 kg mol-1 Muon magnetic moment 4.4904514e-26 +/- 1.5e-32 J T-1 Muon magnetic moment in Bohr magnetons 0.00484197097 +/- 7.1e-10 Muon magnetic moment (nuclear magnetons) 8.8905981 +/- 1.3e-06 Muon magnetic moment anomaly (a_mu) 0.001165923 +/- 8.4e-09 Muon g-factor (g_mu) 2.002331846 +/- 1.7e-08 Muon-proton magnetic moment ratio 3.18334547 +/- 4.7e-07 Proton radius (From electron difussion) 8.62e-16 +/- 0.02 m (F. Biraben) Proton mass (m_p) 1.6726231e-27 +/- 1.0e-33 kg Proton mass in u 1.00727647 +/- 1.2e-08 u Proton mass in eV 938272310 +/- 280 eV Proton-electron mass ratio 1836.152701 +/- 3.7e-05 Proton-muon mass ratio 8.8802444 +/- 1.3e-06 Proton specific charge 95788309 +/- 29 C kg-1 Proton molar mass 0.00100727647 +/- 1.2e-11 kg mol-1 Proton Compton wavelength (lambda_C,p) 1.32141002e-15 +/- 1.2e-22 m Proton magnetic moment 1.41060761e-26 +/- 4.7e-33 J T-1 Proton magnetic moment (Bohr magnetons) 0.001521032202 +/- 1.5e-11 Proton magnetic moment (nclr magnetons) 2.792847386 +/- 6.3e-08 Diamagnetic shielding correction for protons (H_2 O, spherical sample, 298.15 K)(sigma_H2O) 2.5689e-05 +/- 1.5e-08 Shielded proton moment (H_2 O, spherical sample, 298.15 K)(mu_p') 1.41057138e-26 +/- 4.7e-33 J T-1 Shielded proton moment (Bohr magnetons) 0.001520993129 +/- 1.7e-11 Shielded proton moment (nclr magnetons) 2.792775642 +/- 6.4e-08 Proton gyromagnetic ratio (gamma_p) 267522128 +/- 81 T-1 s-1 (gamma_p) 42577469 +/- 13 T-1 s-1 Proton gyromagnetic ratio, uncorrected (H_2 O, spherical sample, 298.15 K) (gamma_p') 267515255 +/- 81 T-1 s-1 (gamma_p'/2pi) 42576375 +/- 13 T-1 s-1 Neutron mass (m_n) 1.6749286e-27 +/- 1.0e-33 kg Neutron mass in u 1.008664904 +/- 1.4e-08 u Neutron mass in eV 939565630 +/- 280 eV Neutron-electron mass ratio 1838.683662 +/- 4.0e-05 Neutron-proton mass ratio 1.001378404 +/- 9e-09 Neutron molar mass 0.001008664904 +/- 1.4e-11 kg mol-1 Neutron Compton wavelength (lambda_C,n) 1.3195911e-15 +/- 1.2e-22 m Neutron magnetic moment 9.6623707e-27 +/- 4.0e-33J T-1 Neutron magnetic moment (Bohr magnetons) 0.00104187563 +/- 2.5e-10 Neutron mgntc moment (nuclear magnetons) 1.91304275 +/- 4.5e-07 Neutron-electron magnetic moment ratio 0.00104066882 +/- 2.5e-10 Neutron-proton magnetic moment ratio 0.68497934 +/- 1.6e-07 Deuteron mass (m_d) 3.343586e-27 +/- 2.0e-33 kg Deuteron mass in u 2.013553214 +/- 2.4e-08 u Deuteron mass in eV 1875613390 +/- 570 eV Deuteron-electron mass ratio 3670.483014 +/- 7.5e-05 Deuteron-proton mass ratio 1.999007496 +/- 6e-09 Deuteron molar mass 0.002013553214 +/- 2.4e-11 kg mol-1 Deuteron magnetic moment (mu_d) 4.3307375e-27 +/- 1.5e-33 J T-1 Deuteron magnetic moment (Bohr magnetons) 0.0004669754479 +/- 9.1e-12 Deuteron mgntc moment (nuclear magnetons) 0.85743823 +/- 2.4e-08 Deuteron-electron magnetic moment ratio 0.000466434546 +/- 9.1e-12 Deuteron-proton magnetic moment ratio 0.3070122035 +/- 5.1e-09 Avagadro constant (N_A) 6.0221367e+23 +/- 3.6e+17 mol-1 Atomic mass constant (m_u) 1.6605402e-27 +/- 1.0e-33 kg Atomic mass constant in eV 931494320 +/- 280 eV Faraday constant (F) 96485.309 +/- 0.029 C mol-1 Molar Planck constant 3.99031323e-10 +/- 3.6e-17 J s mol-1 (N_A hc) 0.11962658 +/- 1.1e-07 J m mol-1 Molar gas constant (R) 8.31451 +/- 7.0e-05 J mol-1 K-1 Boltzmann constant (k) 1.380658e-23 +/- 1.2e-28 J K-1 Boltzmann constant in eV 8.617385e-05 +/- 7.3e-10e V K-1 Boltzmann constant in Hz 20836740000 +/- 180000 K-1 s-1 Boltzmann constant in wavenumbers 69.50387 +/- 0.00059 m-1 K-1 Molar volume (ideal gas), STP (V_m) 0.0224141 +/- 1.9e-07 m3 mol-1 Loschmidt constant (n_0) 2.686763e+25 +/- 2.3e+20 m-3 Stefan-Boltzmann constant (sigma) 5.67051e-08 +/- 1.9e-12 W m-2 K-4 First radiation constant (c_1) 3.7417749e-16 +/- 2.2e-22 W m2 Second radiation constant (c_2) 0.01438769 +/- 1.2e-07 m K Wien displacement law constant (b) 0.002897756 +/- 2.4e-08 m K Electron volt (eV) 1.60217733e-19 +/- 4.9e-26 J Atomic mass unit (u) 1.6605402e-27 +/- 1.0e-33 kg Standard atmosphere (atm) 101325 Pa Std accel gravity (g_n) 9.80665m s-2 BIPM-maintained ohm, Omega_69-B1 as of 1 Jan 85 (Omega_B185) 1-1.563e-6 +/- 5.0e-08Omega Drift rate of Omega_69-B1 (dOmega_69-B1/dt)-0.0566 +/- -0.0015 muOmega/yr BIPM-maintained volt 483 694 GHz(h/2e) (V_76-B1) 1-7.59e-6 +/- 3.0e-07 V BIPM maintained ampere A_BIPM (A_B185) 1-6.03e-6 +/- 3.0e-07 A Cu x-unit: (xu(CuKalpha1)) 1.00207789e-13 +/- 7.0e-20m Mo x-unit: (xu(MoKalpha1))1.00209938e-13 +/- 4.5e-20m AA *: (AAngstrom-star) 1.00001481e-10 +/- 9.2e-17 m Lattice spacing of Si (in vacuum, 295.65 K)(a) 5.4310196e-10 +/- 1.1e-16 m Lattice spacing Si (220) plane (d_220) 1.9201554e-10 +/- 4.0e-17 m Molar volume of Si (V_m(Si)) 1.20588179e-05 +/- 8.9e-12 m3 mol-1 Radiation density constant (a) 7.564e-16 J M^-3 K^-4 Mass of the Sun 1.9891E30 Kg. Mass of the Earth 5.9724E24 Kg. Equatorial radius of the earth 6378137m Polar radius of the earth 6356752m Astronomical unit (au) 1.4959787066e11 meters. Mean radius of Mercury's orbit: 5.790909(6376)e10 meters Sideral period of Mercury: 87.96 days