Table of Fundamental Physical Constants

adapted from MIT 3.091 by somen

The following table lists the 1986 CODATA recommended values of the fundamental physical constants. The current values, "1998 CODATA recommended values", became available in July 1999, with details to be published in early 2000. You can find the latest data from the NIST at http://physics.nist.gov/PhysRefData/codata86/codata86.html.
# Constant Symbol Value Units
1 Speed of light in vacuum  (c)  299792458 m s-1
2 Permeability of vacuum  (mu_0)  1.25663706143592e-06 N A-2
3 Permittivity of vacuum  (epsilon_0)  8.854187817e-12 F m-1
4 Newtonian constant of gravitation  (G)  6.6725985e-11 ± 8.54093e-15 m3 kg-1 s-2
5 Planck constant  (h)  6.62607554e-34 ± 3.97565e-40 J s
6 Planck constant in eV    4.135669212e-15 ± 1.2407e-21 eV s
7 h-bar  (h-bar)  1.0545726663e-34 ± 6.32744e-41 J s
8 h-bar in eV    6.58212202e-16 ± 1.97464e-22 eV s
9 Planck mass  (m_p)  2.1767114e-08 ± 1.3931e-12 kg
10 Planck length  (l_p)  1.616051e-35 ± 1.03427e-39 m
11 Planck time  (t_p)  5.3905634e-44 ± 3.44996e-48 s
12 Elementary charge  (e)  1.6021773349e-19 ± 4.80653e-26 C
13 Magnetic flux quantum  (Phi_0)  2.0678346161e-15 ± 6.2035e-22 Wb
14 Josephson frequency-voltage quotient    483597671400000 ± 1.45079e+08 V-1 s-1
15 Quantized Hall conductance    3.8740461417e-05 ± 1.74332e-12 Omega-1
16 Quantized Hall resistance  (R_H)  25812.805612 ± 0.00116158 Omega
17 Bohr magneton  (mu_B)  9.274015431e-24 ± 3.15317e-30 J T-1
18 Bohr magneton in eV    5.7883826352e-05 ± 5.15166e-12 eV T-1
19 Bohr magneton in Hz    13996241842 ± 4198.87 T-1 s-1
20 Bohr magneton in wavenumbers    46.68643714 ± 1.40059e-05 m-1 T-1
21 Bohr magneton in kelvins    0.671709957 ± 5.70953e-06 K T-1
22 Nuclear magneton  (mu_N)  5.050786617e-27 ± 1.71727e-33 J T-1
23 Nuclear magneton in eV    3.1524516628e-08 ± 2.80568e-15 eV T-1
24 Nuclear magneton in Hz    7622591.423 ± 2.28678 T-1 s-1
25 Nuclear magneton in wavenumbers    0.025426228177 ± 7.62787e-09 m-1 T-1
26 Nuclear magneton in kelvins    0.000365824631 ± 3.10951e-09 K T-1
27 Fine structure constant  (alpha)  0.0072973530833 ± 3.28381e-10  
28 Inverse fine structure constant    137.035989561 ± 6.16662e-06  
29 Rydberg constant  (Ry)  10973731.53413 ± 0.0131685 m-1
30 Rydberg constant in Hz    3.289841949939e+15 ± 3.94781e+06 s-1
31 Rydberg constant in joules    2.179874113e-18 ± 1.30792e-24 J
32 Rydberg constant in eV    13.60569814 ± 4.08171e-06 eV
33 Bohr radius  (a_0)  5.2917724924e-11 ± 2.3813e-18 m
34 Hartree energy  (E_h)  4.359748226e-18 ± 2.61585e-24 J
35 Hartree energy in eV    27.211396181 ± 8.16342e-06 eV
36 Quantum of circulation    0.00036369480733 ± 3.23688e-11 m2 s-1
37 Electron mass  (m_e)  9.109389754e-31 ± 5.37454e-37 kg
38 Electron mass in u    0.00054857990313 ± 1.26173e-11 u
39 Electron mass in eV    510999.0615 ± 0.1533 eV
40 Electron-muon mass ratio    0.0048363321871 ± 7.2545e-10  
41 Electron-proton mass ratio    0.00054461701311 ± 1.08923e-11  
42 Electron-deuteron mass ratio    0.0002724437076 ± 5.44887e-12  
43 Electron-alpha-particle mass ratio    0.0001370933543 ± 2.87896e-12  
44 Electron specific charge    -175881962530 ± -52764.6 C kg-1
45 Electron molar mass    5.4857990313e-07 ± 1.26173e-14 kg mol-1
46 Electron Compton wavelength  (lambda_C)  2.4263105822e-12 ± 2.15942e-19 m
47 Electron Compton wavelength over 2 pi  (lambda-bar_C) 3.8615932335e-13 ± 3.43682e-20 m
48 Electron classical radius  (r_e)  2.8179409238e-15 ± 3.66332e-22 m
49 Electron Thomson cross section  (sigma_e)  6.652461618e-29 ± 1.79616e-35 m2
50 Electron magnetic moment    9.284770131e-24 ± 3.15682e-30 J T-1
51 Electron magnetic moment in Bohr magnetons   1.0011596521931 ± 1.00116e-11  
52 Electron magnetic moment in nuclear magnetons   1838.28200037 ± 3.67656e-05  
53 Electron magnetic moment anomaly  (a-e)  0.0011596521931 ± 9.97301e-12  
54 Electron g-factor  (g_e)  2.0023193043862 ± 2.00232e-11  
55 Electron-muon magnetic moment ratio    206.7669673 ± 3.1015e-05  
56 Electron-proton magnetic moment ratio    658.210688166 ± 6.58211e-06  
57 Muon mass    1.883532711e-28 ± 1.14895e-34 kg
58 Muon mass in u    0.11342891317 ± 1.70143e-08 u
59 Muon mass in eV    105658389.34 ± 33.8107 eV
60 Muon-electron mass ratio    206.7682623 ± 3.10152e-05  
61 Muon molar mass    0.00011342891317 ± 1.70143e-11 kg mol-1
62 Muon magnetic moment    4.490451415e-26 ± 1.48185e-32 J T-1
63 Muon magnetic moment in Bohr magnetons    0.0048419709771 ± 7.26296e-10  
64 Muon magnetic moment in nuclear magnetons   8.890598113 ± 1.33359e-06  
65 Muon magnetic moment anomaly  (a_mu)  0.001165923084 ± 8.39465e-09  
66 Muon g-factor  (g_mu)  2.00233184617 ± 1.68196e-08  
67 Muon-proton magnetic moment ratio    3.1833454747 ± 4.77502e-07  
68 Proton mass  (m_p)  1.67262311e-27 ± 9.86848e-34 kg
69 Proton mass in u    1.00727647012 ± 1.20873e-08 u
70 Proton mass in eV    938272312.8 ± 281.482 eV
71 Proton-electron mass ratio    1836.15270137 ± 3.67231e-05  
72 Proton-muon mass ratio    8.880244413 ± 1.33204e-06  
73 Proton specific charge    95788309.29 ± 28.7365 C kg-1
74 Proton molar mass    0.00100727647012 ± 1.20873e-11 kg mol-1
75 Proton Compton wavelength  (lambda_Cp)  1.3214100212e-15 ± 1.17605e-22 m
76 Proton magnetic moment    1.4106076147e-26 ± 4.79607e-33 J T-1
77 Proton magnetic moment in Bohr magnetons   0.00152103220215 ± 1.52103e-11  
78 Proton magnetic moment in nuclear magnetons   2.79284738663 ± 6.42355e-08  
79 Diamagnetic shielding correction for protons (H_2 O, spherical sample, 298.15 K) (sigma_H2O)  2.568915e-05  
80 Shielded proton moment (H_2 O, spherical sample, 298.15 K) (mu_p')  1.4105713847e-26 ± 4.79594e-33 J T-1
81 Shielded proton moment in Bohr magnetons   0.00152099312917 ± 1.67309e-11  
82 Shielded proton moment in nuclear magnetons   2.79277564264 ± 6.42338e-08  
83 Proton gyromagnetic ratio  (gamma_p)  267522128.81 ± 80.2566 T-1 s-1
84 (gamma_p)  42577469.13 ± 12.7732 T-1 s-1
85 Proton gyromagnetic ratio, uncorrected (H_2 O, spherical sample, 298.15 K) (gamma_p')  267515255.81 ± 80.2546 T-1 s-1
86 (gamma_p'/2pi) 42576375.13 ± 12.7729 T-1 s-1
87 Neutron mass  (m_n)  1.67492861e-27 ± 9.88208e-34 kg
88 Neutron mass in u    1.00866490414 ± 1.41213e-08 u
89 Neutron mass in eV    939565632.8 ± 281.87 eV
90 Neutron-electron mass ratio    1838.6836624 ± 4.0451e-05  
91 Neutron-proton mass ratio    1.0013784049 ± 9.01241e-09  
92 Neutron molar mass    0.00100866490414 ± 1.41213e-11 kg mol-1
93 Neutron Compton wavelength  (lamda_Cn)  1.3195911012e-15 ± 1.17444e-22 m
94 Neutron magnetic moment    9.66237074e-27 ± 3.96157e-33 J T-1
95 Neutron magnetic moment in Bohr magnetons   0.0010418756325 ± 2.5005e-10  
96 Neutron magnetic moment in nuclear magnetons   1.9130427545 ± 4.5913e-07  
97 Neutron-electron magnetic moment ratio    0.0010406688225 ± 2.49761e-10  
98 Neutron-proton magnetic moment ratio    0.6849793416 ± 1.64395e-07  
99 Deuteron mass  (m_d)  3.34358602e-27 ± 1.97272e-33 kg
100 Deuteron mass in u    2.01355321424 ± 2.41626e-08 u
101 Deuteron mass in eV    1875613395.7 ± 562.684 eV
102 Deuteron-electron mass ratio    3670.48301475 ± 7.34097e-05  
103 Deuteron-proton mass ratio    1.9990074966 ± 5.99702e-09  
104 Deuteron molar mass    0.00201355321424 ± 2.41626e-11 kg mol-1
105 Deuteron magnetic moment  (mu_d)  4.330737515e-27 ± 1.47245e-33 J T-1
106 Deuteron magnetic moment in Bohr magnetons   0.000466975447991 ± 8.87253e-12  
107 Deuteron magnetic moment in nuclear magnetons   0.85743823024 ± 2.40083e-08  
108 Deuteron-electron magnetic moment ratio    0.000466434546091 ± 8.86226e-12  
109 Deuteron-proton magnetic moment ratio    0.307012203551 ± 5.21921e-09  
110 Avagadro constant  (N_A)  6.022136736e+23 ± 3.55306e+17 mol-1
111 Atomic mass constant  (m_u)  1.66054021e-27 ± 9.79719e-34 kg
112 Atomic mass constant in eV    931494322.8 ± 279.448 eV
113 Faraday constant  (F)  96485.30929 ± 0.0289456 C mol-1
114 Molar Planck constant    3.9903132336e-10 ± 3.55138e-17 J s mol-1
115 (N_A hc)  0.1196265811 ± 1.06468e-08 J m mol-1
116 Molar gas constant  (R)  8.3145107 ± 6.98419e-05 J mol-1 K-1
117 Boltzmann constant  (k)  1.38065812e-23 ± 1.17356e-28 J K-1
118 Boltzmann constant in eV    8.61738573e-05 ± 7.2386e-10 eV K-1
119 Boltzmann constant in Hz    20836741800 ± 175029 K-1 s-1
120 Boltzmann constant in wavenumbers    69.5038759 ± 0.000583833 m-1 K-1
121 Molar volume (ideal gas), STP  (V_m)  0.0224141019 ± 1.88278e-07 m3 mol-1
122 Loschmidt constant  (n_0)  2.68676323e+25 ± 2.28375e+20 m-3
123 Stefan-Boltzmann constant  (sigma)  5.6705119e-08 ± 1.92797e-12 W m-2 K-4
124 First radiation constant  (c_1)  3.741774922e-16 ± 2.24506e-22 W m2
125 Second radiation constant  (c_2)  0.0143876912 ± 1.20857e-07 m K
126 Wien displacement law constant  (b)  0.00289775624 ± 2.43412e-08 m K
127 Electron volt  (eV)  1.6021773349e-19 ± 4.80653e-26 J
128 Atomic mass unit  (u)  1.66054021e-27 ± 9.79719e-34 kg
129 Standard atmosphere  (atm)  101325 Pa
130 Standard acceleration of gravity  (g_n)  9.80665 m s-2
131 BIPM-maintained ohm, Omega_69-B1 as of 1 Jan 85 (Omega_B185) 1-1.56350e-6 Omega
132 Drift rate of Omega_69-B1  (dOmega_69-B1/dt) -0.056615 muOmega/yr
133 BIPM-maintained volt 483 694 GHz(h/2e)  (V_76-B1)  1-7.5930e-6 V
134 BIPM maintained ampere A_BIPM  (A_B185)  1-6.0330e-6 A
135 Cu x-unit:  (xu(CuKalpha1)) 1.002077897e-13 ± 7.01455e-20 m
136 Mo x-unit:  (xu(MoKalpha1)) 1.0020993845e-13 ± 4.50945e-20 m
137 AA *:  (AAngstrom-star) 1.0000148192e-10 ± 9.20014e-17 m
138 Lattice spacing of Si (in vacuum, 295.65 K) (a)  5.431019611e-10 ± 1.14051e-16 m
139 Lattice spacing Si (220) plane  (d_220)  1.920155404e-10 ± 4.03233e-17 m
140 Molar volume of Si  (V_m(Si))  1.2058817989e-05 ± 8.92353e-12 m3 mol-1


Table Version 1.0.1

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