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1# Compiled by Charles Harris, dated October 3, 2002 

2# updated to 2002 values by BasSw, 2006 

3# Updated to 2006 values by Vincent Davis June 2010 

4# Updated to 2014 values by Joseph Booker, 2015 

5# Updated to 2018 values by Jakob Jakobson, 2019 

6 

7from __future__ import annotations 

8 

9""" 

10Fundamental Physical Constants 

11------------------------------ 

12 

13These constants are taken from CODATA Recommended Values of the Fundamental 

14Physical Constants 2018. 

15 

16Object 

17------ 

18physical_constants : dict 

19 A dictionary containing physical constants. Keys are the names of physical 

20 constants, values are tuples (value, units, precision). 

21 

22Functions 

23--------- 

24value(key): 

25 Returns the value of the physical constant(key). 

26unit(key): 

27 Returns the units of the physical constant(key). 

28precision(key): 

29 Returns the relative precision of the physical constant(key). 

30find(sub): 

31 Prints or returns list of keys containing the string sub, default is all. 

32 

33Source 

34------ 

35The values of the constants provided at this site are recommended for 

36international use by CODATA and are the latest available. Termed the "2018 

37CODATA recommended values," they are generally recognized worldwide for use in 

38all fields of science and technology. The values became available on 20 May 

392019 and replaced the 2014 CODATA set. Also available is an introduction to the 

40constants for non-experts at 

41 

42https://physics.nist.gov/cuu/Constants/introduction.html 

43 

44References 

45---------- 

46Theoretical and experimental publications relevant to the fundamental constants 

47and closely related precision measurements published since the mid 1980s, but 

48also including many older papers of particular interest, some of which date 

49back to the 1800s. To search the bibliography, visit 

50 

51https://physics.nist.gov/cuu/Constants/ 

52 

53""" 

54 

55import warnings 

56from math import pi, sqrt 

57 

58from typing import Any 

59 

60__all__ = ['physical_constants', 'value', 'unit', 'precision', 'find', 

61 'ConstantWarning'] 

62 

63""" 

64Source: https://physics.nist.gov/cuu/Constants/ 

65 

66The values of the constants provided at this site are recommended for 

67international use by CODATA and are the latest available. Termed the "2018 

68CODATA recommended values," they are generally recognized worldwide for use in 

69all fields of science and technology. The values became available on 20 May 

702019 and replaced the 2014 CODATA set. 

71""" 

72 

73# 

74# Source: https://physics.nist.gov/cuu/Constants/ 

75# 

76 

77# Quantity Value Uncertainty Unit 

78# ---------------------------------------------------- --------------------- -------------------- ------------- 

79txt2002 = """\ 

80Wien displacement law constant 2.897 7685e-3 0.000 0051e-3 m K 

81atomic unit of 1st hyperpolarizablity 3.206 361 51e-53 0.000 000 28e-53 C^3 m^3 J^-2 

82atomic unit of 2nd hyperpolarizablity 6.235 3808e-65 0.000 0011e-65 C^4 m^4 J^-3 

83atomic unit of electric dipole moment 8.478 353 09e-30 0.000 000 73e-30 C m 

84atomic unit of electric polarizablity 1.648 777 274e-41 0.000 000 016e-41 C^2 m^2 J^-1 

85atomic unit of electric quadrupole moment 4.486 551 24e-40 0.000 000 39e-40 C m^2 

86atomic unit of magn. dipole moment 1.854 801 90e-23 0.000 000 16e-23 J T^-1 

87atomic unit of magn. flux density 2.350 517 42e5 0.000 000 20e5 T 

88deuteron magn. moment 0.433 073 482e-26 0.000 000 038e-26 J T^-1 

89deuteron magn. moment to Bohr magneton ratio 0.466 975 4567e-3 0.000 000 0050e-3 

90deuteron magn. moment to nuclear magneton ratio 0.857 438 2329 0.000 000 0092 

91deuteron-electron magn. moment ratio -4.664 345 548e-4 0.000 000 050e-4 

92deuteron-proton magn. moment ratio 0.307 012 2084 0.000 000 0045 

93deuteron-neutron magn. moment ratio -0.448 206 52 0.000 000 11 

94electron gyromagn. ratio 1.760 859 74e11 0.000 000 15e11 s^-1 T^-1 

95electron gyromagn. ratio over 2 pi 28 024.9532 0.0024 MHz T^-1 

96electron magn. moment -928.476 412e-26 0.000 080e-26 J T^-1 

97electron magn. moment to Bohr magneton ratio -1.001 159 652 1859 0.000 000 000 0038 

98electron magn. moment to nuclear magneton ratio -1838.281 971 07 0.000 000 85 

99electron magn. moment anomaly 1.159 652 1859e-3 0.000 000 0038e-3 

100electron to shielded proton magn. moment ratio -658.227 5956 0.000 0071 

101electron to shielded helion magn. moment ratio 864.058 255 0.000 010 

102electron-deuteron magn. moment ratio -2143.923 493 0.000 023 

103electron-muon magn. moment ratio 206.766 9894 0.000 0054 

104electron-neutron magn. moment ratio 960.920 50 0.000 23 

105electron-proton magn. moment ratio -658.210 6862 0.000 0066 

106magn. constant 12.566 370 614...e-7 0 N A^-2 

107magn. flux quantum 2.067 833 72e-15 0.000 000 18e-15 Wb 

108muon magn. moment -4.490 447 99e-26 0.000 000 40e-26 J T^-1 

109muon magn. moment to Bohr magneton ratio -4.841 970 45e-3 0.000 000 13e-3 

110muon magn. moment to nuclear magneton ratio -8.890 596 98 0.000 000 23 

111muon-proton magn. moment ratio -3.183 345 118 0.000 000 089 

112neutron gyromagn. ratio 1.832 471 83e8 0.000 000 46e8 s^-1 T^-1 

113neutron gyromagn. ratio over 2 pi 29.164 6950 0.000 0073 MHz T^-1 

114neutron magn. moment -0.966 236 45e-26 0.000 000 24e-26 J T^-1 

115neutron magn. moment to Bohr magneton ratio -1.041 875 63e-3 0.000 000 25e-3 

116neutron magn. moment to nuclear magneton ratio -1.913 042 73 0.000 000 45 

117neutron to shielded proton magn. moment ratio -0.684 996 94 0.000 000 16 

118neutron-electron magn. moment ratio 1.040 668 82e-3 0.000 000 25e-3 

119neutron-proton magn. moment ratio -0.684 979 34 0.000 000 16 

120proton gyromagn. ratio 2.675 222 05e8 0.000 000 23e8 s^-1 T^-1 

121proton gyromagn. ratio over 2 pi 42.577 4813 0.000 0037 MHz T^-1 

122proton magn. moment 1.410 606 71e-26 0.000 000 12e-26 J T^-1 

123proton magn. moment to Bohr magneton ratio 1.521 032 206e-3 0.000 000 015e-3 

124proton magn. moment to nuclear magneton ratio 2.792 847 351 0.000 000 028 

125proton magn. shielding correction 25.689e-6 0.015e-6 

126proton-neutron magn. moment ratio -1.459 898 05 0.000 000 34 

127shielded helion gyromagn. ratio 2.037 894 70e8 0.000 000 18e8 s^-1 T^-1 

128shielded helion gyromagn. ratio over 2 pi 32.434 1015 0.000 0028 MHz T^-1 

129shielded helion magn. moment -1.074 553 024e-26 0.000 000 093e-26 J T^-1 

130shielded helion magn. moment to Bohr magneton ratio -1.158 671 474e-3 0.000 000 014e-3 

131shielded helion magn. moment to nuclear magneton ratio -2.127 497 723 0.000 000 025 

132shielded helion to proton magn. moment ratio -0.761 766 562 0.000 000 012 

133shielded helion to shielded proton magn. moment ratio -0.761 786 1313 0.000 000 0033 

134shielded helion gyromagn. ratio 2.037 894 70e8 0.000 000 18e8 s^-1 T^-1 

135shielded helion gyromagn. ratio over 2 pi 32.434 1015 0.000 0028 MHz T^-1 

136shielded proton magn. moment 1.410 570 47e-26 0.000 000 12e-26 J T^-1 

137shielded proton magn. moment to Bohr magneton ratio 1.520 993 132e-3 0.000 000 016e-3 

138shielded proton magn. moment to nuclear magneton ratio 2.792 775 604 0.000 000 030 

139{220} lattice spacing of silicon 192.015 5965e-12 0.000 0070e-12 m""" 

140 

141txt2006 = """\ 

142lattice spacing of silicon 192.015 5762 e-12 0.000 0050 e-12 m 

143alpha particle-electron mass ratio 7294.299 5365 0.000 0031 

144alpha particle mass 6.644 656 20 e-27 0.000 000 33 e-27 kg 

145alpha particle mass energy equivalent 5.971 919 17 e-10 0.000 000 30 e-10 J 

146alpha particle mass energy equivalent in MeV 3727.379 109 0.000 093 MeV 

147alpha particle mass in u 4.001 506 179 127 0.000 000 000 062 u 

148alpha particle molar mass 4.001 506 179 127 e-3 0.000 000 000 062 e-3 kg mol^-1 

149alpha particle-proton mass ratio 3.972 599 689 51 0.000 000 000 41 

150Angstrom star 1.000 014 98 e-10 0.000 000 90 e-10 m 

151atomic mass constant 1.660 538 782 e-27 0.000 000 083 e-27 kg 

152atomic mass constant energy equivalent 1.492 417 830 e-10 0.000 000 074 e-10 J 

153atomic mass constant energy equivalent in MeV 931.494 028 0.000 023 MeV 

154atomic mass unit-electron volt relationship 931.494 028 e6 0.000 023 e6 eV 

155atomic mass unit-hartree relationship 3.423 177 7149 e7 0.000 000 0049 e7 E_h 

156atomic mass unit-hertz relationship 2.252 342 7369 e23 0.000 000 0032 e23 Hz 

157atomic mass unit-inverse meter relationship 7.513 006 671 e14 0.000 000 011 e14 m^-1 

158atomic mass unit-joule relationship 1.492 417 830 e-10 0.000 000 074 e-10 J 

159atomic mass unit-kelvin relationship 1.080 9527 e13 0.000 0019 e13 K 

160atomic mass unit-kilogram relationship 1.660 538 782 e-27 0.000 000 083 e-27 kg 

161atomic unit of 1st hyperpolarizability 3.206 361 533 e-53 0.000 000 081 e-53 C^3 m^3 J^-2 

162atomic unit of 2nd hyperpolarizability 6.235 380 95 e-65 0.000 000 31 e-65 C^4 m^4 J^-3 

163atomic unit of action 1.054 571 628 e-34 0.000 000 053 e-34 J s 

164atomic unit of charge 1.602 176 487 e-19 0.000 000 040 e-19 C 

165atomic unit of charge density 1.081 202 300 e12 0.000 000 027 e12 C m^-3 

166atomic unit of current 6.623 617 63 e-3 0.000 000 17 e-3 A 

167atomic unit of electric dipole mom. 8.478 352 81 e-30 0.000 000 21 e-30 C m 

168atomic unit of electric field 5.142 206 32 e11 0.000 000 13 e11 V m^-1 

169atomic unit of electric field gradient 9.717 361 66 e21 0.000 000 24 e21 V m^-2 

170atomic unit of electric polarizability 1.648 777 2536 e-41 0.000 000 0034 e-41 C^2 m^2 J^-1 

171atomic unit of electric potential 27.211 383 86 0.000 000 68 V 

172atomic unit of electric quadrupole mom. 4.486 551 07 e-40 0.000 000 11 e-40 C m^2 

173atomic unit of energy 4.359 743 94 e-18 0.000 000 22 e-18 J 

174atomic unit of force 8.238 722 06 e-8 0.000 000 41 e-8 N 

175atomic unit of length 0.529 177 208 59 e-10 0.000 000 000 36 e-10 m 

176atomic unit of mag. dipole mom. 1.854 801 830 e-23 0.000 000 046 e-23 J T^-1 

177atomic unit of mag. flux density 2.350 517 382 e5 0.000 000 059 e5 T 

178atomic unit of magnetizability 7.891 036 433 e-29 0.000 000 027 e-29 J T^-2 

179atomic unit of mass 9.109 382 15 e-31 0.000 000 45 e-31 kg 

180atomic unit of momentum 1.992 851 565 e-24 0.000 000 099 e-24 kg m s^-1 

181atomic unit of permittivity 1.112 650 056... e-10 (exact) F m^-1 

182atomic unit of time 2.418 884 326 505 e-17 0.000 000 000 016 e-17 s 

183atomic unit of velocity 2.187 691 2541 e6 0.000 000 0015 e6 m s^-1 

184Avogadro constant 6.022 141 79 e23 0.000 000 30 e23 mol^-1 

185Bohr magneton 927.400 915 e-26 0.000 023 e-26 J T^-1 

186Bohr magneton in eV/T 5.788 381 7555 e-5 0.000 000 0079 e-5 eV T^-1 

187Bohr magneton in Hz/T 13.996 246 04 e9 0.000 000 35 e9 Hz T^-1 

188Bohr magneton in inverse meters per tesla 46.686 4515 0.000 0012 m^-1 T^-1 

189Bohr magneton in K/T 0.671 7131 0.000 0012 K T^-1 

190Bohr radius 0.529 177 208 59 e-10 0.000 000 000 36 e-10 m 

191Boltzmann constant 1.380 6504 e-23 0.000 0024 e-23 J K^-1 

192Boltzmann constant in eV/K 8.617 343 e-5 0.000 015 e-5 eV K^-1 

193Boltzmann constant in Hz/K 2.083 6644 e10 0.000 0036 e10 Hz K^-1 

194Boltzmann constant in inverse meters per kelvin 69.503 56 0.000 12 m^-1 K^-1 

195characteristic impedance of vacuum 376.730 313 461... (exact) ohm 

196classical electron radius 2.817 940 2894 e-15 0.000 000 0058 e-15 m 

197Compton wavelength 2.426 310 2175 e-12 0.000 000 0033 e-12 m 

198Compton wavelength over 2 pi 386.159 264 59 e-15 0.000 000 53 e-15 m 

199conductance quantum 7.748 091 7004 e-5 0.000 000 0053 e-5 S 

200conventional value of Josephson constant 483 597.9 e9 (exact) Hz V^-1 

201conventional value of von Klitzing constant 25 812.807 (exact) ohm 

202Cu x unit 1.002 076 99 e-13 0.000 000 28 e-13 m 

203deuteron-electron mag. mom. ratio -4.664 345 537 e-4 0.000 000 039 e-4 

204deuteron-electron mass ratio 3670.482 9654 0.000 0016 

205deuteron g factor 0.857 438 2308 0.000 000 0072 

206deuteron mag. mom. 0.433 073 465 e-26 0.000 000 011 e-26 J T^-1 

207deuteron mag. mom. to Bohr magneton ratio 0.466 975 4556 e-3 0.000 000 0039 e-3 

208deuteron mag. mom. to nuclear magneton ratio 0.857 438 2308 0.000 000 0072 

209deuteron mass 3.343 583 20 e-27 0.000 000 17 e-27 kg 

210deuteron mass energy equivalent 3.005 062 72 e-10 0.000 000 15 e-10 J 

211deuteron mass energy equivalent in MeV 1875.612 793 0.000 047 MeV 

212deuteron mass in u 2.013 553 212 724 0.000 000 000 078 u 

213deuteron molar mass 2.013 553 212 724 e-3 0.000 000 000 078 e-3 kg mol^-1 

214deuteron-neutron mag. mom. ratio -0.448 206 52 0.000 000 11 

215deuteron-proton mag. mom. ratio 0.307 012 2070 0.000 000 0024 

216deuteron-proton mass ratio 1.999 007 501 08 0.000 000 000 22 

217deuteron rms charge radius 2.1402 e-15 0.0028 e-15 m 

218electric constant 8.854 187 817... e-12 (exact) F m^-1 

219electron charge to mass quotient -1.758 820 150 e11 0.000 000 044 e11 C kg^-1 

220electron-deuteron mag. mom. ratio -2143.923 498 0.000 018 

221electron-deuteron mass ratio 2.724 437 1093 e-4 0.000 000 0012 e-4 

222electron g factor -2.002 319 304 3622 0.000 000 000 0015 

223electron gyromag. ratio 1.760 859 770 e11 0.000 000 044 e11 s^-1 T^-1 

224electron gyromag. ratio over 2 pi 28 024.953 64 0.000 70 MHz T^-1 

225electron mag. mom. -928.476 377 e-26 0.000 023 e-26 J T^-1 

226electron mag. mom. anomaly 1.159 652 181 11 e-3 0.000 000 000 74 e-3 

227electron mag. mom. to Bohr magneton ratio -1.001 159 652 181 11 0.000 000 000 000 74 

228electron mag. mom. to nuclear magneton ratio -1838.281 970 92 0.000 000 80 

229electron mass 9.109 382 15 e-31 0.000 000 45 e-31 kg 

230electron mass energy equivalent 8.187 104 38 e-14 0.000 000 41 e-14 J 

231electron mass energy equivalent in MeV 0.510 998 910 0.000 000 013 MeV 

232electron mass in u 5.485 799 0943 e-4 0.000 000 0023 e-4 u 

233electron molar mass 5.485 799 0943 e-7 0.000 000 0023 e-7 kg mol^-1 

234electron-muon mag. mom. ratio 206.766 9877 0.000 0052 

235electron-muon mass ratio 4.836 331 71 e-3 0.000 000 12 e-3 

236electron-neutron mag. mom. ratio 960.920 50 0.000 23 

237electron-neutron mass ratio 5.438 673 4459 e-4 0.000 000 0033 e-4 

238electron-proton mag. mom. ratio -658.210 6848 0.000 0054 

239electron-proton mass ratio 5.446 170 2177 e-4 0.000 000 0024 e-4 

240electron-tau mass ratio 2.875 64 e-4 0.000 47 e-4 

241electron to alpha particle mass ratio 1.370 933 555 70 e-4 0.000 000 000 58 e-4 

242electron to shielded helion mag. mom. ratio 864.058 257 0.000 010 

243electron to shielded proton mag. mom. ratio -658.227 5971 0.000 0072 

244electron volt 1.602 176 487 e-19 0.000 000 040 e-19 J 

245electron volt-atomic mass unit relationship 1.073 544 188 e-9 0.000 000 027 e-9 u 

246electron volt-hartree relationship 3.674 932 540 e-2 0.000 000 092 e-2 E_h 

247electron volt-hertz relationship 2.417 989 454 e14 0.000 000 060 e14 Hz 

248electron volt-inverse meter relationship 8.065 544 65 e5 0.000 000 20 e5 m^-1 

249electron volt-joule relationship 1.602 176 487 e-19 0.000 000 040 e-19 J 

250electron volt-kelvin relationship 1.160 4505 e4 0.000 0020 e4 K 

251electron volt-kilogram relationship 1.782 661 758 e-36 0.000 000 044 e-36 kg 

252elementary charge 1.602 176 487 e-19 0.000 000 040 e-19 C 

253elementary charge over h 2.417 989 454 e14 0.000 000 060 e14 A J^-1 

254Faraday constant 96 485.3399 0.0024 C mol^-1 

255Faraday constant for conventional electric current 96 485.3401 0.0048 C_90 mol^-1 

256Fermi coupling constant 1.166 37 e-5 0.000 01 e-5 GeV^-2 

257fine-structure constant 7.297 352 5376 e-3 0.000 000 0050 e-3 

258first radiation constant 3.741 771 18 e-16 0.000 000 19 e-16 W m^2 

259first radiation constant for spectral radiance 1.191 042 759 e-16 0.000 000 059 e-16 W m^2 sr^-1 

260hartree-atomic mass unit relationship 2.921 262 2986 e-8 0.000 000 0042 e-8 u 

261hartree-electron volt relationship 27.211 383 86 0.000 000 68 eV 

262Hartree energy 4.359 743 94 e-18 0.000 000 22 e-18 J 

263Hartree energy in eV 27.211 383 86 0.000 000 68 eV 

264hartree-hertz relationship 6.579 683 920 722 e15 0.000 000 000 044 e15 Hz 

265hartree-inverse meter relationship 2.194 746 313 705 e7 0.000 000 000 015 e7 m^-1 

266hartree-joule relationship 4.359 743 94 e-18 0.000 000 22 e-18 J 

267hartree-kelvin relationship 3.157 7465 e5 0.000 0055 e5 K 

268hartree-kilogram relationship 4.850 869 34 e-35 0.000 000 24 e-35 kg 

269helion-electron mass ratio 5495.885 2765 0.000 0052 

270helion mass 5.006 411 92 e-27 0.000 000 25 e-27 kg 

271helion mass energy equivalent 4.499 538 64 e-10 0.000 000 22 e-10 J 

272helion mass energy equivalent in MeV 2808.391 383 0.000 070 MeV 

273helion mass in u 3.014 932 2473 0.000 000 0026 u 

274helion molar mass 3.014 932 2473 e-3 0.000 000 0026 e-3 kg mol^-1 

275helion-proton mass ratio 2.993 152 6713 0.000 000 0026 

276hertz-atomic mass unit relationship 4.439 821 6294 e-24 0.000 000 0064 e-24 u 

277hertz-electron volt relationship 4.135 667 33 e-15 0.000 000 10 e-15 eV 

278hertz-hartree relationship 1.519 829 846 006 e-16 0.000 000 000010e-16 E_h 

279hertz-inverse meter relationship 3.335 640 951... e-9 (exact) m^-1 

280hertz-joule relationship 6.626 068 96 e-34 0.000 000 33 e-34 J 

281hertz-kelvin relationship 4.799 2374 e-11 0.000 0084 e-11 K 

282hertz-kilogram relationship 7.372 496 00 e-51 0.000 000 37 e-51 kg 

283inverse fine-structure constant 137.035 999 679 0.000 000 094 

284inverse meter-atomic mass unit relationship 1.331 025 0394 e-15 0.000 000 0019 e-15 u 

285inverse meter-electron volt relationship 1.239 841 875 e-6 0.000 000 031 e-6 eV 

286inverse meter-hartree relationship 4.556 335 252 760 e-8 0.000 000 000 030 e-8 E_h 

287inverse meter-hertz relationship 299 792 458 (exact) Hz 

288inverse meter-joule relationship 1.986 445 501 e-25 0.000 000 099 e-25 J 

289inverse meter-kelvin relationship 1.438 7752 e-2 0.000 0025 e-2 K 

290inverse meter-kilogram relationship 2.210 218 70 e-42 0.000 000 11 e-42 kg 

291inverse of conductance quantum 12 906.403 7787 0.000 0088 ohm 

292Josephson constant 483 597.891 e9 0.012 e9 Hz V^-1 

293joule-atomic mass unit relationship 6.700 536 41 e9 0.000 000 33 e9 u 

294joule-electron volt relationship 6.241 509 65 e18 0.000 000 16 e18 eV 

295joule-hartree relationship 2.293 712 69 e17 0.000 000 11 e17 E_h 

296joule-hertz relationship 1.509 190 450 e33 0.000 000 075 e33 Hz 

297joule-inverse meter relationship 5.034 117 47 e24 0.000 000 25 e24 m^-1 

298joule-kelvin relationship 7.242 963 e22 0.000 013 e22 K 

299joule-kilogram relationship 1.112 650 056... e-17 (exact) kg 

300kelvin-atomic mass unit relationship 9.251 098 e-14 0.000 016 e-14 u 

301kelvin-electron volt relationship 8.617 343 e-5 0.000 015 e-5 eV 

302kelvin-hartree relationship 3.166 8153 e-6 0.000 0055 e-6 E_h 

303kelvin-hertz relationship 2.083 6644 e10 0.000 0036 e10 Hz 

304kelvin-inverse meter relationship 69.503 56 0.000 12 m^-1 

305kelvin-joule relationship 1.380 6504 e-23 0.000 0024 e-23 J 

306kelvin-kilogram relationship 1.536 1807 e-40 0.000 0027 e-40 kg 

307kilogram-atomic mass unit relationship 6.022 141 79 e26 0.000 000 30 e26 u 

308kilogram-electron volt relationship 5.609 589 12 e35 0.000 000 14 e35 eV 

309kilogram-hartree relationship 2.061 486 16 e34 0.000 000 10 e34 E_h 

310kilogram-hertz relationship 1.356 392 733 e50 0.000 000 068 e50 Hz 

311kilogram-inverse meter relationship 4.524 439 15 e41 0.000 000 23 e41 m^-1 

312kilogram-joule relationship 8.987 551 787... e16 (exact) J 

313kilogram-kelvin relationship 6.509 651 e39 0.000 011 e39 K 

314lattice parameter of silicon 543.102 064 e-12 0.000 014 e-12 m 

315Loschmidt constant (273.15 K, 101.325 kPa) 2.686 7774 e25 0.000 0047 e25 m^-3 

316mag. constant 12.566 370 614... e-7 (exact) N A^-2 

317mag. flux quantum 2.067 833 667 e-15 0.000 000 052 e-15 Wb 

318molar gas constant 8.314 472 0.000 015 J mol^-1 K^-1 

319molar mass constant 1 e-3 (exact) kg mol^-1 

320molar mass of carbon-12 12 e-3 (exact) kg mol^-1 

321molar Planck constant 3.990 312 6821 e-10 0.000 000 0057 e-10 J s mol^-1 

322molar Planck constant times c 0.119 626 564 72 0.000 000 000 17 J m mol^-1 

323molar volume of ideal gas (273.15 K, 100 kPa) 22.710 981 e-3 0.000 040 e-3 m^3 mol^-1 

324molar volume of ideal gas (273.15 K, 101.325 kPa) 22.413 996 e-3 0.000 039 e-3 m^3 mol^-1 

325molar volume of silicon 12.058 8349 e-6 0.000 0011 e-6 m^3 mol^-1 

326Mo x unit 1.002 099 55 e-13 0.000 000 53 e-13 m 

327muon Compton wavelength 11.734 441 04 e-15 0.000 000 30 e-15 m 

328muon Compton wavelength over 2 pi 1.867 594 295 e-15 0.000 000 047 e-15 m 

329muon-electron mass ratio 206.768 2823 0.000 0052 

330muon g factor -2.002 331 8414 0.000 000 0012 

331muon mag. mom. -4.490 447 86 e-26 0.000 000 16 e-26 J T^-1 

332muon mag. mom. anomaly 1.165 920 69 e-3 0.000 000 60 e-3 

333muon mag. mom. to Bohr magneton ratio -4.841 970 49 e-3 0.000 000 12 e-3 

334muon mag. mom. to nuclear magneton ratio -8.890 597 05 0.000 000 23 

335muon mass 1.883 531 30 e-28 0.000 000 11 e-28 kg 

336muon mass energy equivalent 1.692 833 510 e-11 0.000 000 095 e-11 J 

337muon mass energy equivalent in MeV 105.658 3668 0.000 0038 MeV 

338muon mass in u 0.113 428 9256 0.000 000 0029 u 

339muon molar mass 0.113 428 9256 e-3 0.000 000 0029 e-3 kg mol^-1 

340muon-neutron mass ratio 0.112 454 5167 0.000 000 0029 

341muon-proton mag. mom. ratio -3.183 345 137 0.000 000 085 

342muon-proton mass ratio 0.112 609 5261 0.000 000 0029 

343muon-tau mass ratio 5.945 92 e-2 0.000 97 e-2 

344natural unit of action 1.054 571 628 e-34 0.000 000 053 e-34 J s 

345natural unit of action in eV s 6.582 118 99 e-16 0.000 000 16 e-16 eV s 

346natural unit of energy 8.187 104 38 e-14 0.000 000 41 e-14 J 

347natural unit of energy in MeV 0.510 998 910 0.000 000 013 MeV 

348natural unit of length 386.159 264 59 e-15 0.000 000 53 e-15 m 

349natural unit of mass 9.109 382 15 e-31 0.000 000 45 e-31 kg 

350natural unit of momentum 2.730 924 06 e-22 0.000 000 14 e-22 kg m s^-1 

351natural unit of momentum in MeV/c 0.510 998 910 0.000 000 013 MeV/c 

352natural unit of time 1.288 088 6570 e-21 0.000 000 0018 e-21 s 

353natural unit of velocity 299 792 458 (exact) m s^-1 

354neutron Compton wavelength 1.319 590 8951 e-15 0.000 000 0020 e-15 m 

355neutron Compton wavelength over 2 pi 0.210 019 413 82 e-15 0.000 000 000 31 e-15 m 

356neutron-electron mag. mom. ratio 1.040 668 82 e-3 0.000 000 25 e-3 

357neutron-electron mass ratio 1838.683 6605 0.000 0011 

358neutron g factor -3.826 085 45 0.000 000 90 

359neutron gyromag. ratio 1.832 471 85 e8 0.000 000 43 e8 s^-1 T^-1 

360neutron gyromag. ratio over 2 pi 29.164 6954 0.000 0069 MHz T^-1 

361neutron mag. mom. -0.966 236 41 e-26 0.000 000 23 e-26 J T^-1 

362neutron mag. mom. to Bohr magneton ratio -1.041 875 63 e-3 0.000 000 25 e-3 

363neutron mag. mom. to nuclear magneton ratio -1.913 042 73 0.000 000 45 

364neutron mass 1.674 927 211 e-27 0.000 000 084 e-27 kg 

365neutron mass energy equivalent 1.505 349 505 e-10 0.000 000 075 e-10 J 

366neutron mass energy equivalent in MeV 939.565 346 0.000 023 MeV 

367neutron mass in u 1.008 664 915 97 0.000 000 000 43 u 

368neutron molar mass 1.008 664 915 97 e-3 0.000 000 000 43 e-3 kg mol^-1 

369neutron-muon mass ratio 8.892 484 09 0.000 000 23 

370neutron-proton mag. mom. ratio -0.684 979 34 0.000 000 16 

371neutron-proton mass ratio 1.001 378 419 18 0.000 000 000 46 

372neutron-tau mass ratio 0.528 740 0.000 086 

373neutron to shielded proton mag. mom. ratio -0.684 996 94 0.000 000 16 

374Newtonian constant of gravitation 6.674 28 e-11 0.000 67 e-11 m^3 kg^-1 s^-2 

375Newtonian constant of gravitation over h-bar c 6.708 81 e-39 0.000 67 e-39 (GeV/c^2)^-2 

376nuclear magneton 5.050 783 24 e-27 0.000 000 13 e-27 J T^-1 

377nuclear magneton in eV/T 3.152 451 2326 e-8 0.000 000 0045 e-8 eV T^-1 

378nuclear magneton in inverse meters per tesla 2.542 623 616 e-2 0.000 000 064 e-2 m^-1 T^-1 

379nuclear magneton in K/T 3.658 2637 e-4 0.000 0064 e-4 K T^-1 

380nuclear magneton in MHz/T 7.622 593 84 0.000 000 19 MHz T^-1 

381Planck constant 6.626 068 96 e-34 0.000 000 33 e-34 J s 

382Planck constant in eV s 4.135 667 33 e-15 0.000 000 10 e-15 eV s 

383Planck constant over 2 pi 1.054 571 628 e-34 0.000 000 053 e-34 J s 

384Planck constant over 2 pi in eV s 6.582 118 99 e-16 0.000 000 16 e-16 eV s 

385Planck constant over 2 pi times c in MeV fm 197.326 9631 0.000 0049 MeV fm 

386Planck length 1.616 252 e-35 0.000 081 e-35 m 

387Planck mass 2.176 44 e-8 0.000 11 e-8 kg 

388Planck mass energy equivalent in GeV 1.220 892 e19 0.000 061 e19 GeV 

389Planck temperature 1.416 785 e32 0.000 071 e32 K 

390Planck time 5.391 24 e-44 0.000 27 e-44 s 

391proton charge to mass quotient 9.578 833 92 e7 0.000 000 24 e7 C kg^-1 

392proton Compton wavelength 1.321 409 8446 e-15 0.000 000 0019 e-15 m 

393proton Compton wavelength over 2 pi 0.210 308 908 61 e-15 0.000 000 000 30 e-15 m 

394proton-electron mass ratio 1836.152 672 47 0.000 000 80 

395proton g factor 5.585 694 713 0.000 000 046 

396proton gyromag. ratio 2.675 222 099 e8 0.000 000 070 e8 s^-1 T^-1 

397proton gyromag. ratio over 2 pi 42.577 4821 0.000 0011 MHz T^-1 

398proton mag. mom. 1.410 606 662 e-26 0.000 000 037 e-26 J T^-1 

399proton mag. mom. to Bohr magneton ratio 1.521 032 209 e-3 0.000 000 012 e-3 

400proton mag. mom. to nuclear magneton ratio 2.792 847 356 0.000 000 023 

401proton mag. shielding correction 25.694 e-6 0.014 e-6 

402proton mass 1.672 621 637 e-27 0.000 000 083 e-27 kg 

403proton mass energy equivalent 1.503 277 359 e-10 0.000 000 075 e-10 J 

404proton mass energy equivalent in MeV 938.272 013 0.000 023 MeV 

405proton mass in u 1.007 276 466 77 0.000 000 000 10 u 

406proton molar mass 1.007 276 466 77 e-3 0.000 000 000 10 e-3 kg mol^-1 

407proton-muon mass ratio 8.880 243 39 0.000 000 23 

408proton-neutron mag. mom. ratio -1.459 898 06 0.000 000 34 

409proton-neutron mass ratio 0.998 623 478 24 0.000 000 000 46 

410proton rms charge radius 0.8768 e-15 0.0069 e-15 m 

411proton-tau mass ratio 0.528 012 0.000 086 

412quantum of circulation 3.636 947 5199 e-4 0.000 000 0050 e-4 m^2 s^-1 

413quantum of circulation times 2 7.273 895 040 e-4 0.000 000 010 e-4 m^2 s^-1 

414Rydberg constant 10 973 731.568 527 0.000 073 m^-1 

415Rydberg constant times c in Hz 3.289 841 960 361 e15 0.000 000 000 022 e15 Hz 

416Rydberg constant times hc in eV 13.605 691 93 0.000 000 34 eV 

417Rydberg constant times hc in J 2.179 871 97 e-18 0.000 000 11 e-18 J 

418Sackur-Tetrode constant (1 K, 100 kPa) -1.151 7047 0.000 0044 

419Sackur-Tetrode constant (1 K, 101.325 kPa) -1.164 8677 0.000 0044 

420second radiation constant 1.438 7752 e-2 0.000 0025 e-2 m K 

421shielded helion gyromag. ratio 2.037 894 730 e8 0.000 000 056 e8 s^-1 T^-1 

422shielded helion gyromag. ratio over 2 pi 32.434 101 98 0.000 000 90 MHz T^-1 

423shielded helion mag. mom. -1.074 552 982 e-26 0.000 000 030 e-26 J T^-1 

424shielded helion mag. mom. to Bohr magneton ratio -1.158 671 471 e-3 0.000 000 014 e-3 

425shielded helion mag. mom. to nuclear magneton ratio -2.127 497 718 0.000 000 025 

426shielded helion to proton mag. mom. ratio -0.761 766 558 0.000 000 011 

427shielded helion to shielded proton mag. mom. ratio -0.761 786 1313 0.000 000 0033 

428shielded proton gyromag. ratio 2.675 153 362 e8 0.000 000 073 e8 s^-1 T^-1 

429shielded proton gyromag. ratio over 2 pi 42.576 3881 0.000 0012 MHz T^-1 

430shielded proton mag. mom. 1.410 570 419 e-26 0.000 000 038 e-26 J T^-1 

431shielded proton mag. mom. to Bohr magneton ratio 1.520 993 128 e-3 0.000 000 017 e-3 

432shielded proton mag. mom. to nuclear magneton ratio 2.792 775 598 0.000 000 030 

433speed of light in vacuum 299 792 458 (exact) m s^-1 

434standard acceleration of gravity 9.806 65 (exact) m s^-2 

435standard atmosphere 101 325 (exact) Pa 

436Stefan-Boltzmann constant 5.670 400 e-8 0.000 040 e-8 W m^-2 K^-4 

437tau Compton wavelength 0.697 72 e-15 0.000 11 e-15 m 

438tau Compton wavelength over 2 pi 0.111 046 e-15 0.000 018 e-15 m 

439tau-electron mass ratio 3477.48 0.57 

440tau mass 3.167 77 e-27 0.000 52 e-27 kg 

441tau mass energy equivalent 2.847 05 e-10 0.000 46 e-10 J 

442tau mass energy equivalent in MeV 1776.99 0.29 MeV 

443tau mass in u 1.907 68 0.000 31 u 

444tau molar mass 1.907 68 e-3 0.000 31 e-3 kg mol^-1 

445tau-muon mass ratio 16.8183 0.0027 

446tau-neutron mass ratio 1.891 29 0.000 31 

447tau-proton mass ratio 1.893 90 0.000 31 

448Thomson cross section 0.665 245 8558 e-28 0.000 000 0027 e-28 m^2 

449triton-electron mag. mom. ratio -1.620 514 423 e-3 0.000 000 021 e-3 

450triton-electron mass ratio 5496.921 5269 0.000 0051 

451triton g factor 5.957 924 896 0.000 000 076 

452triton mag. mom. 1.504 609 361 e-26 0.000 000 042 e-26 J T^-1 

453triton mag. mom. to Bohr magneton ratio 1.622 393 657 e-3 0.000 000 021 e-3 

454triton mag. mom. to nuclear magneton ratio 2.978 962 448 0.000 000 038 

455triton mass 5.007 355 88 e-27 0.000 000 25 e-27 kg 

456triton mass energy equivalent 4.500 387 03 e-10 0.000 000 22 e-10 J 

457triton mass energy equivalent in MeV 2808.920 906 0.000 070 MeV 

458triton mass in u 3.015 500 7134 0.000 000 0025 u 

459triton molar mass 3.015 500 7134 e-3 0.000 000 0025 e-3 kg mol^-1 

460triton-neutron mag. mom. ratio -1.557 185 53 0.000 000 37 

461triton-proton mag. mom. ratio 1.066 639 908 0.000 000 010 

462triton-proton mass ratio 2.993 717 0309 0.000 000 0025 

463unified atomic mass unit 1.660 538 782 e-27 0.000 000 083 e-27 kg 

464von Klitzing constant 25 812.807 557 0.000 018 ohm 

465weak mixing angle 0.222 55 0.000 56 

466Wien frequency displacement law constant 5.878 933 e10 0.000 010 e10 Hz K^-1 

467Wien wavelength displacement law constant 2.897 7685 e-3 0.000 0051 e-3 m K""" 

468 

469txt2010 = """\ 

470{220} lattice spacing of silicon 192.015 5714 e-12 0.000 0032 e-12 m 

471alpha particle-electron mass ratio 7294.299 5361 0.000 0029 

472alpha particle mass 6.644 656 75 e-27 0.000 000 29 e-27 kg 

473alpha particle mass energy equivalent 5.971 919 67 e-10 0.000 000 26 e-10 J 

474alpha particle mass energy equivalent in MeV 3727.379 240 0.000 082 MeV 

475alpha particle mass in u 4.001 506 179 125 0.000 000 000 062 u 

476alpha particle molar mass 4.001 506 179 125 e-3 0.000 000 000 062 e-3 kg mol^-1 

477alpha particle-proton mass ratio 3.972 599 689 33 0.000 000 000 36 

478Angstrom star 1.000 014 95 e-10 0.000 000 90 e-10 m 

479atomic mass constant 1.660 538 921 e-27 0.000 000 073 e-27 kg 

480atomic mass constant energy equivalent 1.492 417 954 e-10 0.000 000 066 e-10 J 

481atomic mass constant energy equivalent in MeV 931.494 061 0.000 021 MeV 

482atomic mass unit-electron volt relationship 931.494 061 e6 0.000 021 e6 eV 

483atomic mass unit-hartree relationship 3.423 177 6845 e7 0.000 000 0024 e7 E_h 

484atomic mass unit-hertz relationship 2.252 342 7168 e23 0.000 000 0016 e23 Hz 

485atomic mass unit-inverse meter relationship 7.513 006 6042 e14 0.000 000 0053 e14 m^-1 

486atomic mass unit-joule relationship 1.492 417 954 e-10 0.000 000 066 e-10 J 

487atomic mass unit-kelvin relationship 1.080 954 08 e13 0.000 000 98 e13 K 

488atomic mass unit-kilogram relationship 1.660 538 921 e-27 0.000 000 073 e-27 kg 

489atomic unit of 1st hyperpolarizability 3.206 361 449 e-53 0.000 000 071 e-53 C^3 m^3 J^-2 

490atomic unit of 2nd hyperpolarizability 6.235 380 54 e-65 0.000 000 28 e-65 C^4 m^4 J^-3 

491atomic unit of action 1.054 571 726 e-34 0.000 000 047 e-34 J s 

492atomic unit of charge 1.602 176 565 e-19 0.000 000 035 e-19 C 

493atomic unit of charge density 1.081 202 338 e12 0.000 000 024 e12 C m^-3 

494atomic unit of current 6.623 617 95 e-3 0.000 000 15 e-3 A 

495atomic unit of electric dipole mom. 8.478 353 26 e-30 0.000 000 19 e-30 C m 

496atomic unit of electric field 5.142 206 52 e11 0.000 000 11 e11 V m^-1 

497atomic unit of electric field gradient 9.717 362 00 e21 0.000 000 21 e21 V m^-2 

498atomic unit of electric polarizability 1.648 777 2754 e-41 0.000 000 0016 e-41 C^2 m^2 J^-1 

499atomic unit of electric potential 27.211 385 05 0.000 000 60 V 

500atomic unit of electric quadrupole mom. 4.486 551 331 e-40 0.000 000 099 e-40 C m^2 

501atomic unit of energy 4.359 744 34 e-18 0.000 000 19 e-18 J 

502atomic unit of force 8.238 722 78 e-8 0.000 000 36 e-8 N 

503atomic unit of length 0.529 177 210 92 e-10 0.000 000 000 17 e-10 m 

504atomic unit of mag. dipole mom. 1.854 801 936 e-23 0.000 000 041 e-23 J T^-1 

505atomic unit of mag. flux density 2.350 517 464 e5 0.000 000 052 e5 T 

506atomic unit of magnetizability 7.891 036 607 e-29 0.000 000 013 e-29 J T^-2 

507atomic unit of mass 9.109 382 91 e-31 0.000 000 40 e-31 kg 

508atomic unit of mom.um 1.992 851 740 e-24 0.000 000 088 e-24 kg m s^-1 

509atomic unit of permittivity 1.112 650 056... e-10 (exact) F m^-1 

510atomic unit of time 2.418 884 326 502e-17 0.000 000 000 012e-17 s 

511atomic unit of velocity 2.187 691 263 79 e6 0.000 000 000 71 e6 m s^-1 

512Avogadro constant 6.022 141 29 e23 0.000 000 27 e23 mol^-1 

513Bohr magneton 927.400 968 e-26 0.000 020 e-26 J T^-1 

514Bohr magneton in eV/T 5.788 381 8066 e-5 0.000 000 0038 e-5 eV T^-1 

515Bohr magneton in Hz/T 13.996 245 55 e9 0.000 000 31 e9 Hz T^-1 

516Bohr magneton in inverse meters per tesla 46.686 4498 0.000 0010 m^-1 T^-1 

517Bohr magneton in K/T 0.671 713 88 0.000 000 61 K T^-1 

518Bohr radius 0.529 177 210 92 e-10 0.000 000 000 17 e-10 m 

519Boltzmann constant 1.380 6488 e-23 0.000 0013 e-23 J K^-1 

520Boltzmann constant in eV/K 8.617 3324 e-5 0.000 0078 e-5 eV K^-1 

521Boltzmann constant in Hz/K 2.083 6618 e10 0.000 0019 e10 Hz K^-1 

522Boltzmann constant in inverse meters per kelvin 69.503 476 0.000 063 m^-1 K^-1 

523characteristic impedance of vacuum 376.730 313 461... (exact) ohm 

524classical electron radius 2.817 940 3267 e-15 0.000 000 0027 e-15 m 

525Compton wavelength 2.426 310 2389 e-12 0.000 000 0016 e-12 m 

526Compton wavelength over 2 pi 386.159 268 00 e-15 0.000 000 25 e-15 m 

527conductance quantum 7.748 091 7346 e-5 0.000 000 0025 e-5 S 

528conventional value of Josephson constant 483 597.9 e9 (exact) Hz V^-1 

529conventional value of von Klitzing constant 25 812.807 (exact) ohm 

530Cu x unit 1.002 076 97 e-13 0.000 000 28 e-13 m 

531deuteron-electron mag. mom. ratio -4.664 345 537 e-4 0.000 000 039 e-4 

532deuteron-electron mass ratio 3670.482 9652 0.000 0015 

533deuteron g factor 0.857 438 2308 0.000 000 0072 

534deuteron mag. mom. 0.433 073 489 e-26 0.000 000 010 e-26 J T^-1 

535deuteron mag. mom. to Bohr magneton ratio 0.466 975 4556 e-3 0.000 000 0039 e-3 

536deuteron mag. mom. to nuclear magneton ratio 0.857 438 2308 0.000 000 0072 

537deuteron mass 3.343 583 48 e-27 0.000 000 15 e-27 kg 

538deuteron mass energy equivalent 3.005 062 97 e-10 0.000 000 13 e-10 J 

539deuteron mass energy equivalent in MeV 1875.612 859 0.000 041 MeV 

540deuteron mass in u 2.013 553 212 712 0.000 000 000 077 u 

541deuteron molar mass 2.013 553 212 712 e-3 0.000 000 000 077 e-3 kg mol^-1 

542deuteron-neutron mag. mom. ratio -0.448 206 52 0.000 000 11 

543deuteron-proton mag. mom. ratio 0.307 012 2070 0.000 000 0024 

544deuteron-proton mass ratio 1.999 007 500 97 0.000 000 000 18 

545deuteron rms charge radius 2.1424 e-15 0.0021 e-15 m 

546electric constant 8.854 187 817... e-12 (exact) F m^-1 

547electron charge to mass quotient -1.758 820 088 e11 0.000 000 039 e11 C kg^-1 

548electron-deuteron mag. mom. ratio -2143.923 498 0.000 018 

549electron-deuteron mass ratio 2.724 437 1095 e-4 0.000 000 0011 e-4 

550electron g factor -2.002 319 304 361 53 0.000 000 000 000 53 

551electron gyromag. ratio 1.760 859 708 e11 0.000 000 039 e11 s^-1 T^-1 

552electron gyromag. ratio over 2 pi 28 024.952 66 0.000 62 MHz T^-1 

553electron-helion mass ratio 1.819 543 0761 e-4 0.000 000 0017 e-4 

554electron mag. mom. -928.476 430 e-26 0.000 021 e-26 J T^-1 

555electron mag. mom. anomaly 1.159 652 180 76 e-3 0.000 000 000 27 e-3 

556electron mag. mom. to Bohr magneton ratio -1.001 159 652 180 76 0.000 000 000 000 27 

557electron mag. mom. to nuclear magneton ratio -1838.281 970 90 0.000 000 75 

558electron mass 9.109 382 91 e-31 0.000 000 40 e-31 kg 

559electron mass energy equivalent 8.187 105 06 e-14 0.000 000 36 e-14 J 

560electron mass energy equivalent in MeV 0.510 998 928 0.000 000 011 MeV 

561electron mass in u 5.485 799 0946 e-4 0.000 000 0022 e-4 u 

562electron molar mass 5.485 799 0946 e-7 0.000 000 0022 e-7 kg mol^-1 

563electron-muon mag. mom. ratio 206.766 9896 0.000 0052 

564electron-muon mass ratio 4.836 331 66 e-3 0.000 000 12 e-3 

565electron-neutron mag. mom. ratio 960.920 50 0.000 23 

566electron-neutron mass ratio 5.438 673 4461 e-4 0.000 000 0032 e-4 

567electron-proton mag. mom. ratio -658.210 6848 0.000 0054 

568electron-proton mass ratio 5.446 170 2178 e-4 0.000 000 0022 e-4 

569electron-tau mass ratio 2.875 92 e-4 0.000 26 e-4 

570electron to alpha particle mass ratio 1.370 933 555 78 e-4 0.000 000 000 55 e-4 

571electron to shielded helion mag. mom. ratio 864.058 257 0.000 010 

572electron to shielded proton mag. mom. ratio -658.227 5971 0.000 0072 

573electron-triton mass ratio 1.819 200 0653 e-4 0.000 000 0017 e-4 

574electron volt 1.602 176 565 e-19 0.000 000 035 e-19 J 

575electron volt-atomic mass unit relationship 1.073 544 150 e-9 0.000 000 024 e-9 u 

576electron volt-hartree relationship 3.674 932 379 e-2 0.000 000 081 e-2 E_h 

577electron volt-hertz relationship 2.417 989 348 e14 0.000 000 053 e14 Hz 

578electron volt-inverse meter relationship 8.065 544 29 e5 0.000 000 18 e5 m^-1 

579electron volt-joule relationship 1.602 176 565 e-19 0.000 000 035 e-19 J 

580electron volt-kelvin relationship 1.160 4519 e4 0.000 0011 e4 K 

581electron volt-kilogram relationship 1.782 661 845 e-36 0.000 000 039 e-36 kg 

582elementary charge 1.602 176 565 e-19 0.000 000 035 e-19 C 

583elementary charge over h 2.417 989 348 e14 0.000 000 053 e14 A J^-1 

584Faraday constant 96 485.3365 0.0021 C mol^-1 

585Faraday constant for conventional electric current 96 485.3321 0.0043 C_90 mol^-1 

586Fermi coupling constant 1.166 364 e-5 0.000 005 e-5 GeV^-2 

587fine-structure constant 7.297 352 5698 e-3 0.000 000 0024 e-3 

588first radiation constant 3.741 771 53 e-16 0.000 000 17 e-16 W m^2 

589first radiation constant for spectral radiance 1.191 042 869 e-16 0.000 000 053 e-16 W m^2 sr^-1 

590hartree-atomic mass unit relationship 2.921 262 3246 e-8 0.000 000 0021 e-8 u 

591hartree-electron volt relationship 27.211 385 05 0.000 000 60 eV 

592Hartree energy 4.359 744 34 e-18 0.000 000 19 e-18 J 

593Hartree energy in eV 27.211 385 05 0.000 000 60 eV 

594hartree-hertz relationship 6.579 683 920 729 e15 0.000 000 000 033 e15 Hz 

595hartree-inverse meter relationship 2.194 746 313 708 e7 0.000 000 000 011 e7 m^-1 

596hartree-joule relationship 4.359 744 34 e-18 0.000 000 19 e-18 J 

597hartree-kelvin relationship 3.157 7504 e5 0.000 0029 e5 K 

598hartree-kilogram relationship 4.850 869 79 e-35 0.000 000 21 e-35 kg 

599helion-electron mass ratio 5495.885 2754 0.000 0050 

600helion g factor -4.255 250 613 0.000 000 050 

601helion mag. mom. -1.074 617 486 e-26 0.000 000 027 e-26 J T^-1 

602helion mag. mom. to Bohr magneton ratio -1.158 740 958 e-3 0.000 000 014 e-3 

603helion mag. mom. to nuclear magneton ratio -2.127 625 306 0.000 000 025 

604helion mass 5.006 412 34 e-27 0.000 000 22 e-27 kg 

605helion mass energy equivalent 4.499 539 02 e-10 0.000 000 20 e-10 J 

606helion mass energy equivalent in MeV 2808.391 482 0.000 062 MeV 

607helion mass in u 3.014 932 2468 0.000 000 0025 u 

608helion molar mass 3.014 932 2468 e-3 0.000 000 0025 e-3 kg mol^-1 

609helion-proton mass ratio 2.993 152 6707 0.000 000 0025 

610hertz-atomic mass unit relationship 4.439 821 6689 e-24 0.000 000 0031 e-24 u 

611hertz-electron volt relationship 4.135 667 516 e-15 0.000 000 091 e-15 eV 

612hertz-hartree relationship 1.519 829 8460045e-16 0.000 000 0000076e-16 E_h 

613hertz-inverse meter relationship 3.335 640 951... e-9 (exact) m^-1 

614hertz-joule relationship 6.626 069 57 e-34 0.000 000 29 e-34 J 

615hertz-kelvin relationship 4.799 2434 e-11 0.000 0044 e-11 K 

616hertz-kilogram relationship 7.372 496 68 e-51 0.000 000 33 e-51 kg 

617inverse fine-structure constant 137.035 999 074 0.000 000 044 

618inverse meter-atomic mass unit relationship 1.331 025 051 20 e-15 0.000 000 000 94 e-15 u 

619inverse meter-electron volt relationship 1.239 841 930 e-6 0.000 000 027 e-6 eV 

620inverse meter-hartree relationship 4.556 335 252 755 e-8 0.000 000 000 023 e-8 E_h 

621inverse meter-hertz relationship 299 792 458 (exact) Hz 

622inverse meter-joule relationship 1.986 445 684 e-25 0.000 000 088 e-25 J 

623inverse meter-kelvin relationship 1.438 7770 e-2 0.000 0013 e-2 K 

624inverse meter-kilogram relationship 2.210 218 902 e-42 0.000 000 098 e-42 kg 

625inverse of conductance quantum 12 906.403 7217 0.000 0042 ohm 

626Josephson constant 483 597.870 e9 0.011 e9 Hz V^-1 

627joule-atomic mass unit relationship 6.700 535 85 e9 0.000 000 30 e9 u 

628joule-electron volt relationship 6.241 509 34 e18 0.000 000 14 e18 eV 

629joule-hartree relationship 2.293 712 48 e17 0.000 000 10 e17 E_h 

630joule-hertz relationship 1.509 190 311 e33 0.000 000 067 e33 Hz 

631joule-inverse meter relationship 5.034 117 01 e24 0.000 000 22 e24 m^-1 

632joule-kelvin relationship 7.242 9716 e22 0.000 0066 e22 K 

633joule-kilogram relationship 1.112 650 056... e-17 (exact) kg 

634kelvin-atomic mass unit relationship 9.251 0868 e-14 0.000 0084 e-14 u 

635kelvin-electron volt relationship 8.617 3324 e-5 0.000 0078 e-5 eV 

636kelvin-hartree relationship 3.166 8114 e-6 0.000 0029 e-6 E_h 

637kelvin-hertz relationship 2.083 6618 e10 0.000 0019 e10 Hz 

638kelvin-inverse meter relationship 69.503 476 0.000 063 m^-1 

639kelvin-joule relationship 1.380 6488 e-23 0.000 0013 e-23 J 

640kelvin-kilogram relationship 1.536 1790 e-40 0.000 0014 e-40 kg 

641kilogram-atomic mass unit relationship 6.022 141 29 e26 0.000 000 27 e26 u 

642kilogram-electron volt relationship 5.609 588 85 e35 0.000 000 12 e35 eV 

643kilogram-hartree relationship 2.061 485 968 e34 0.000 000 091 e34 E_h 

644kilogram-hertz relationship 1.356 392 608 e50 0.000 000 060 e50 Hz 

645kilogram-inverse meter relationship 4.524 438 73 e41 0.000 000 20 e41 m^-1 

646kilogram-joule relationship 8.987 551 787... e16 (exact) J 

647kilogram-kelvin relationship 6.509 6582 e39 0.000 0059 e39 K 

648lattice parameter of silicon 543.102 0504 e-12 0.000 0089 e-12 m 

649Loschmidt constant (273.15 K, 100 kPa) 2.651 6462 e25 0.000 0024 e25 m^-3 

650Loschmidt constant (273.15 K, 101.325 kPa) 2.686 7805 e25 0.000 0024 e25 m^-3 

651mag. constant 12.566 370 614... e-7 (exact) N A^-2 

652mag. flux quantum 2.067 833 758 e-15 0.000 000 046 e-15 Wb 

653molar gas constant 8.314 4621 0.000 0075 J mol^-1 K^-1 

654molar mass constant 1 e-3 (exact) kg mol^-1 

655molar mass of carbon-12 12 e-3 (exact) kg mol^-1 

656molar Planck constant 3.990 312 7176 e-10 0.000 000 0028 e-10 J s mol^-1 

657molar Planck constant times c 0.119 626 565 779 0.000 000 000 084 J m mol^-1 

658molar volume of ideal gas (273.15 K, 100 kPa) 22.710 953 e-3 0.000 021 e-3 m^3 mol^-1 

659molar volume of ideal gas (273.15 K, 101.325 kPa) 22.413 968 e-3 0.000 020 e-3 m^3 mol^-1 

660molar volume of silicon 12.058 833 01 e-6 0.000 000 80 e-6 m^3 mol^-1 

661Mo x unit 1.002 099 52 e-13 0.000 000 53 e-13 m 

662muon Compton wavelength 11.734 441 03 e-15 0.000 000 30 e-15 m 

663muon Compton wavelength over 2 pi 1.867 594 294 e-15 0.000 000 047 e-15 m 

664muon-electron mass ratio 206.768 2843 0.000 0052 

665muon g factor -2.002 331 8418 0.000 000 0013 

666muon mag. mom. -4.490 448 07 e-26 0.000 000 15 e-26 J T^-1 

667muon mag. mom. anomaly 1.165 920 91 e-3 0.000 000 63 e-3 

668muon mag. mom. to Bohr magneton ratio -4.841 970 44 e-3 0.000 000 12 e-3 

669muon mag. mom. to nuclear magneton ratio -8.890 596 97 0.000 000 22 

670muon mass 1.883 531 475 e-28 0.000 000 096 e-28 kg 

671muon mass energy equivalent 1.692 833 667 e-11 0.000 000 086 e-11 J 

672muon mass energy equivalent in MeV 105.658 3715 0.000 0035 MeV 

673muon mass in u 0.113 428 9267 0.000 000 0029 u 

674muon molar mass 0.113 428 9267 e-3 0.000 000 0029 e-3 kg mol^-1 

675muon-neutron mass ratio 0.112 454 5177 0.000 000 0028 

676muon-proton mag. mom. ratio -3.183 345 107 0.000 000 084 

677muon-proton mass ratio 0.112 609 5272 0.000 000 0028 

678muon-tau mass ratio 5.946 49 e-2 0.000 54 e-2 

679natural unit of action 1.054 571 726 e-34 0.000 000 047 e-34 J s 

680natural unit of action in eV s 6.582 119 28 e-16 0.000 000 15 e-16 eV s 

681natural unit of energy 8.187 105 06 e-14 0.000 000 36 e-14 J 

682natural unit of energy in MeV 0.510 998 928 0.000 000 011 MeV 

683natural unit of length 386.159 268 00 e-15 0.000 000 25 e-15 m 

684natural unit of mass 9.109 382 91 e-31 0.000 000 40 e-31 kg 

685natural unit of mom.um 2.730 924 29 e-22 0.000 000 12 e-22 kg m s^-1 

686natural unit of mom.um in MeV/c 0.510 998 928 0.000 000 011 MeV/c 

687natural unit of time 1.288 088 668 33 e-21 0.000 000 000 83 e-21 s 

688natural unit of velocity 299 792 458 (exact) m s^-1 

689neutron Compton wavelength 1.319 590 9068 e-15 0.000 000 0011 e-15 m 

690neutron Compton wavelength over 2 pi 0.210 019 415 68 e-15 0.000 000 000 17 e-15 m 

691neutron-electron mag. mom. ratio 1.040 668 82 e-3 0.000 000 25 e-3 

692neutron-electron mass ratio 1838.683 6605 0.000 0011 

693neutron g factor -3.826 085 45 0.000 000 90 

694neutron gyromag. ratio 1.832 471 79 e8 0.000 000 43 e8 s^-1 T^-1 

695neutron gyromag. ratio over 2 pi 29.164 6943 0.000 0069 MHz T^-1 

696neutron mag. mom. -0.966 236 47 e-26 0.000 000 23 e-26 J T^-1 

697neutron mag. mom. to Bohr magneton ratio -1.041 875 63 e-3 0.000 000 25 e-3 

698neutron mag. mom. to nuclear magneton ratio -1.913 042 72 0.000 000 45 

699neutron mass 1.674 927 351 e-27 0.000 000 074 e-27 kg 

700neutron mass energy equivalent 1.505 349 631 e-10 0.000 000 066 e-10 J 

701neutron mass energy equivalent in MeV 939.565 379 0.000 021 MeV 

702neutron mass in u 1.008 664 916 00 0.000 000 000 43 u 

703neutron molar mass 1.008 664 916 00 e-3 0.000 000 000 43 e-3 kg mol^-1 

704neutron-muon mass ratio 8.892 484 00 0.000 000 22 

705neutron-proton mag. mom. ratio -0.684 979 34 0.000 000 16 

706neutron-proton mass difference 2.305 573 92 e-30 0.000 000 76 e-30 

707neutron-proton mass difference energy equivalent 2.072 146 50 e-13 0.000 000 68 e-13 

708neutron-proton mass difference energy equivalent in MeV 1.293 332 17 0.000 000 42 

709neutron-proton mass difference in u 0.001 388 449 19 0.000 000 000 45 

710neutron-proton mass ratio 1.001 378 419 17 0.000 000 000 45 

711neutron-tau mass ratio 0.528 790 0.000 048 

712neutron to shielded proton mag. mom. ratio -0.684 996 94 0.000 000 16 

713Newtonian constant of gravitation 6.673 84 e-11 0.000 80 e-11 m^3 kg^-1 s^-2 

714Newtonian constant of gravitation over h-bar c 6.708 37 e-39 0.000 80 e-39 (GeV/c^2)^-2 

715nuclear magneton 5.050 783 53 e-27 0.000 000 11 e-27 J T^-1 

716nuclear magneton in eV/T 3.152 451 2605 e-8 0.000 000 0022 e-8 eV T^-1 

717nuclear magneton in inverse meters per tesla 2.542 623 527 e-2 0.000 000 056 e-2 m^-1 T^-1 

718nuclear magneton in K/T 3.658 2682 e-4 0.000 0033 e-4 K T^-1 

719nuclear magneton in MHz/T 7.622 593 57 0.000 000 17 MHz T^-1 

720Planck constant 6.626 069 57 e-34 0.000 000 29 e-34 J s 

721Planck constant in eV s 4.135 667 516 e-15 0.000 000 091 e-15 eV s 

722Planck constant over 2 pi 1.054 571 726 e-34 0.000 000 047 e-34 J s 

723Planck constant over 2 pi in eV s 6.582 119 28 e-16 0.000 000 15 e-16 eV s 

724Planck constant over 2 pi times c in MeV fm 197.326 9718 0.000 0044 MeV fm 

725Planck length 1.616 199 e-35 0.000 097 e-35 m 

726Planck mass 2.176 51 e-8 0.000 13 e-8 kg 

727Planck mass energy equivalent in GeV 1.220 932 e19 0.000 073 e19 GeV 

728Planck temperature 1.416 833 e32 0.000 085 e32 K 

729Planck time 5.391 06 e-44 0.000 32 e-44 s 

730proton charge to mass quotient 9.578 833 58 e7 0.000 000 21 e7 C kg^-1 

731proton Compton wavelength 1.321 409 856 23 e-15 0.000 000 000 94 e-15 m 

732proton Compton wavelength over 2 pi 0.210 308 910 47 e-15 0.000 000 000 15 e-15 m 

733proton-electron mass ratio 1836.152 672 45 0.000 000 75 

734proton g factor 5.585 694 713 0.000 000 046 

735proton gyromag. ratio 2.675 222 005 e8 0.000 000 063 e8 s^-1 T^-1 

736proton gyromag. ratio over 2 pi 42.577 4806 0.000 0010 MHz T^-1 

737proton mag. mom. 1.410 606 743 e-26 0.000 000 033 e-26 J T^-1 

738proton mag. mom. to Bohr magneton ratio 1.521 032 210 e-3 0.000 000 012 e-3 

739proton mag. mom. to nuclear magneton ratio 2.792 847 356 0.000 000 023 

740proton mag. shielding correction 25.694 e-6 0.014 e-6 

741proton mass 1.672 621 777 e-27 0.000 000 074 e-27 kg 

742proton mass energy equivalent 1.503 277 484 e-10 0.000 000 066 e-10 J 

743proton mass energy equivalent in MeV 938.272 046 0.000 021 MeV 

744proton mass in u 1.007 276 466 812 0.000 000 000 090 u 

745proton molar mass 1.007 276 466 812 e-3 0.000 000 000 090 e-3 kg mol^-1 

746proton-muon mass ratio 8.880 243 31 0.000 000 22 

747proton-neutron mag. mom. ratio -1.459 898 06 0.000 000 34 

748proton-neutron mass ratio 0.998 623 478 26 0.000 000 000 45 

749proton rms charge radius 0.8775 e-15 0.0051 e-15 m 

750proton-tau mass ratio 0.528 063 0.000 048 

751quantum of circulation 3.636 947 5520 e-4 0.000 000 0024 e-4 m^2 s^-1 

752quantum of circulation times 2 7.273 895 1040 e-4 0.000 000 0047 e-4 m^2 s^-1 

753Rydberg constant 10 973 731.568 539 0.000 055 m^-1 

754Rydberg constant times c in Hz 3.289 841 960 364 e15 0.000 000 000 017 e15 Hz 

755Rydberg constant times hc in eV 13.605 692 53 0.000 000 30 eV 

756Rydberg constant times hc in J 2.179 872 171 e-18 0.000 000 096 e-18 J 

757Sackur-Tetrode constant (1 K, 100 kPa) -1.151 7078 0.000 0023 

758Sackur-Tetrode constant (1 K, 101.325 kPa) -1.164 8708 0.000 0023 

759second radiation constant 1.438 7770 e-2 0.000 0013 e-2 m K 

760shielded helion gyromag. ratio 2.037 894 659 e8 0.000 000 051 e8 s^-1 T^-1 

761shielded helion gyromag. ratio over 2 pi 32.434 100 84 0.000 000 81 MHz T^-1 

762shielded helion mag. mom. -1.074 553 044 e-26 0.000 000 027 e-26 J T^-1 

763shielded helion mag. mom. to Bohr magneton ratio -1.158 671 471 e-3 0.000 000 014 e-3 

764shielded helion mag. mom. to nuclear magneton ratio -2.127 497 718 0.000 000 025 

765shielded helion to proton mag. mom. ratio -0.761 766 558 0.000 000 011 

766shielded helion to shielded proton mag. mom. ratio -0.761 786 1313 0.000 000 0033 

767shielded proton gyromag. ratio 2.675 153 268 e8 0.000 000 066 e8 s^-1 T^-1 

768shielded proton gyromag. ratio over 2 pi 42.576 3866 0.000 0010 MHz T^-1 

769shielded proton mag. mom. 1.410 570 499 e-26 0.000 000 035 e-26 J T^-1 

770shielded proton mag. mom. to Bohr magneton ratio 1.520 993 128 e-3 0.000 000 017 e-3 

771shielded proton mag. mom. to nuclear magneton ratio 2.792 775 598 0.000 000 030 

772speed of light in vacuum 299 792 458 (exact) m s^-1 

773standard acceleration of gravity 9.806 65 (exact) m s^-2 

774standard atmosphere 101 325 (exact) Pa 

775standard-state pressure 100 000 (exact) Pa 

776Stefan-Boltzmann constant 5.670 373 e-8 0.000 021 e-8 W m^-2 K^-4 

777tau Compton wavelength 0.697 787 e-15 0.000 063 e-15 m 

778tau Compton wavelength over 2 pi 0.111 056 e-15 0.000 010 e-15 m 

779tau-electron mass ratio 3477.15 0.31 

780tau mass 3.167 47 e-27 0.000 29 e-27 kg 

781tau mass energy equivalent 2.846 78 e-10 0.000 26 e-10 J 

782tau mass energy equivalent in MeV 1776.82 0.16 MeV 

783tau mass in u 1.907 49 0.000 17 u 

784tau molar mass 1.907 49 e-3 0.000 17 e-3 kg mol^-1 

785tau-muon mass ratio 16.8167 0.0015 

786tau-neutron mass ratio 1.891 11 0.000 17 

787tau-proton mass ratio 1.893 72 0.000 17 

788Thomson cross section 0.665 245 8734 e-28 0.000 000 0013 e-28 m^2 

789triton-electron mass ratio 5496.921 5267 0.000 0050 

790triton g factor 5.957 924 896 0.000 000 076 

791triton mag. mom. 1.504 609 447 e-26 0.000 000 038 e-26 J T^-1 

792triton mag. mom. to Bohr magneton ratio 1.622 393 657 e-3 0.000 000 021 e-3 

793triton mag. mom. to nuclear magneton ratio 2.978 962 448 0.000 000 038 

794triton mass 5.007 356 30 e-27 0.000 000 22 e-27 kg 

795triton mass energy equivalent 4.500 387 41 e-10 0.000 000 20 e-10 J 

796triton mass energy equivalent in MeV 2808.921 005 0.000 062 MeV 

797triton mass in u 3.015 500 7134 0.000 000 0025 u 

798triton molar mass 3.015 500 7134 e-3 0.000 000 0025 e-3 kg mol^-1 

799triton-proton mass ratio 2.993 717 0308 0.000 000 0025 

800unified atomic mass unit 1.660 538 921 e-27 0.000 000 073 e-27 kg 

801von Klitzing constant 25 812.807 4434 0.000 0084 ohm 

802weak mixing angle 0.2223 0.0021 

803Wien frequency displacement law constant 5.878 9254 e10 0.000 0053 e10 Hz K^-1 

804Wien wavelength displacement law constant 2.897 7721 e-3 0.000 0026 e-3 m K""" 

805 

806txt2014 = """\ 

807{220} lattice spacing of silicon 192.015 5714 e-12 0.000 0032 e-12 m 

808alpha particle-electron mass ratio 7294.299 541 36 0.000 000 24 

809alpha particle mass 6.644 657 230 e-27 0.000 000 082 e-27 kg 

810alpha particle mass energy equivalent 5.971 920 097 e-10 0.000 000 073 e-10 J 

811alpha particle mass energy equivalent in MeV 3727.379 378 0.000 023 MeV 

812alpha particle mass in u 4.001 506 179 127 0.000 000 000 063 u 

813alpha particle molar mass 4.001 506 179 127 e-3 0.000 000 000 063 e-3 kg mol^-1 

814alpha particle-proton mass ratio 3.972 599 689 07 0.000 000 000 36 

815Angstrom star 1.000 014 95 e-10 0.000 000 90 e-10 m 

816atomic mass constant 1.660 539 040 e-27 0.000 000 020 e-27 kg 

817atomic mass constant energy equivalent 1.492 418 062 e-10 0.000 000 018 e-10 J 

818atomic mass constant energy equivalent in MeV 931.494 0954 0.000 0057 MeV 

819atomic mass unit-electron volt relationship 931.494 0954 e6 0.000 0057 e6 eV 

820atomic mass unit-hartree relationship 3.423 177 6902 e7 0.000 000 0016 e7 E_h 

821atomic mass unit-hertz relationship 2.252 342 7206 e23 0.000 000 0010 e23 Hz 

822atomic mass unit-inverse meter relationship 7.513 006 6166 e14 0.000 000 0034 e14 m^-1 

823atomic mass unit-joule relationship 1.492 418 062 e-10 0.000 000 018 e-10 J 

824atomic mass unit-kelvin relationship 1.080 954 38 e13 0.000 000 62 e13 K 

825atomic mass unit-kilogram relationship 1.660 539 040 e-27 0.000 000 020 e-27 kg 

826atomic unit of 1st hyperpolarizability 3.206 361 329 e-53 0.000 000 020 e-53 C^3 m^3 J^-2 

827atomic unit of 2nd hyperpolarizability 6.235 380 085 e-65 0.000 000 077 e-65 C^4 m^4 J^-3 

828atomic unit of action 1.054 571 800 e-34 0.000 000 013 e-34 J s 

829atomic unit of charge 1.602 176 6208 e-19 0.000 000 0098 e-19 C 

830atomic unit of charge density 1.081 202 3770 e12 0.000 000 0067 e12 C m^-3 

831atomic unit of current 6.623 618 183 e-3 0.000 000 041 e-3 A 

832atomic unit of electric dipole mom. 8.478 353 552 e-30 0.000 000 052 e-30 C m 

833atomic unit of electric field 5.142 206 707 e11 0.000 000 032 e11 V m^-1 

834atomic unit of electric field gradient 9.717 362 356 e21 0.000 000 060 e21 V m^-2 

835atomic unit of electric polarizability 1.648 777 2731 e-41 0.000 000 0011 e-41 C^2 m^2 J^-1 

836atomic unit of electric potential 27.211 386 02 0.000 000 17 V 

837atomic unit of electric quadrupole mom. 4.486 551 484 e-40 0.000 000 028 e-40 C m^2 

838atomic unit of energy 4.359 744 650 e-18 0.000 000 054 e-18 J 

839atomic unit of force 8.238 723 36 e-8 0.000 000 10 e-8 N 

840atomic unit of length 0.529 177 210 67 e-10 0.000 000 000 12 e-10 m 

841atomic unit of mag. dipole mom. 1.854 801 999 e-23 0.000 000 011 e-23 J T^-1 

842atomic unit of mag. flux density 2.350 517 550 e5 0.000 000 014 e5 T 

843atomic unit of magnetizability 7.891 036 5886 e-29 0.000 000 0090 e-29 J T^-2 

844atomic unit of mass 9.109 383 56 e-31 0.000 000 11 e-31 kg 

845atomic unit of mom.um 1.992 851 882 e-24 0.000 000 024 e-24 kg m s^-1 

846atomic unit of permittivity 1.112 650 056... e-10 (exact) F m^-1 

847atomic unit of time 2.418 884 326509e-17 0.000 000 000014e-17 s 

848atomic unit of velocity 2.187 691 262 77 e6 0.000 000 000 50 e6 m s^-1 

849Avogadro constant 6.022 140 857 e23 0.000 000 074 e23 mol^-1 

850Bohr magneton 927.400 9994 e-26 0.000 0057 e-26 J T^-1 

851Bohr magneton in eV/T 5.788 381 8012 e-5 0.000 000 0026 e-5 eV T^-1 

852Bohr magneton in Hz/T 13.996 245 042 e9 0.000 000 086 e9 Hz T^-1 

853Bohr magneton in inverse meters per tesla 46.686 448 14 0.000 000 29 m^-1 T^-1 

854Bohr magneton in K/T 0.671 714 05 0.000 000 39 K T^-1 

855Bohr radius 0.529 177 210 67 e-10 0.000 000 000 12 e-10 m 

856Boltzmann constant 1.380 648 52 e-23 0.000 000 79 e-23 J K^-1 

857Boltzmann constant in eV/K 8.617 3303 e-5 0.000 0050 e-5 eV K^-1 

858Boltzmann constant in Hz/K 2.083 6612 e10 0.000 0012 e10 Hz K^-1 

859Boltzmann constant in inverse meters per kelvin 69.503 457 0.000 040 m^-1 K^-1 

860characteristic impedance of vacuum 376.730 313 461... (exact) ohm 

861classical electron radius 2.817 940 3227 e-15 0.000 000 0019 e-15 m 

862Compton wavelength 2.426 310 2367 e-12 0.000 000 0011 e-12 m 

863Compton wavelength over 2 pi 386.159 267 64 e-15 0.000 000 18 e-15 m 

864conductance quantum 7.748 091 7310 e-5 0.000 000 0018 e-5 S 

865conventional value of Josephson constant 483 597.9 e9 (exact) Hz V^-1 

866conventional value of von Klitzing constant 25 812.807 (exact) ohm 

867Cu x unit 1.002 076 97 e-13 0.000 000 28 e-13 m 

868deuteron-electron mag. mom. ratio -4.664 345 535 e-4 0.000 000 026 e-4 

869deuteron-electron mass ratio 3670.482 967 85 0.000 000 13 

870deuteron g factor 0.857 438 2311 0.000 000 0048 

871deuteron mag. mom. 0.433 073 5040 e-26 0.000 000 0036 e-26 J T^-1 

872deuteron mag. mom. to Bohr magneton ratio 0.466 975 4554 e-3 0.000 000 0026 e-3 

873deuteron mag. mom. to nuclear magneton ratio 0.857 438 2311 0.000 000 0048 

874deuteron mass 3.343 583 719 e-27 0.000 000 041 e-27 kg 

875deuteron mass energy equivalent 3.005 063 183 e-10 0.000 000 037 e-10 J 

876deuteron mass energy equivalent in MeV 1875.612 928 0.000 012 MeV 

877deuteron mass in u 2.013 553 212 745 0.000 000 000 040 u 

878deuteron molar mass 2.013 553 212 745 e-3 0.000 000 000 040 e-3 kg mol^-1 

879deuteron-neutron mag. mom. ratio -0.448 206 52 0.000 000 11 

880deuteron-proton mag. mom. ratio 0.307 012 2077 0.000 000 0015 

881deuteron-proton mass ratio 1.999 007 500 87 0.000 000 000 19 

882deuteron rms charge radius 2.1413 e-15 0.0025 e-15 m 

883electric constant 8.854 187 817... e-12 (exact) F m^-1 

884electron charge to mass quotient -1.758 820 024 e11 0.000 000 011 e11 C kg^-1 

885electron-deuteron mag. mom. ratio -2143.923 499 0.000 012 

886electron-deuteron mass ratio 2.724 437 107 484 e-4 0.000 000 000 096 e-4 

887electron g factor -2.002 319 304 361 82 0.000 000 000 000 52 

888electron gyromag. ratio 1.760 859 644 e11 0.000 000 011 e11 s^-1 T^-1 

889electron gyromag. ratio over 2 pi 28 024.951 64 0.000 17 MHz T^-1 

890electron-helion mass ratio 1.819 543 074 854 e-4 0.000 000 000 088 e-4 

891electron mag. mom. -928.476 4620 e-26 0.000 0057 e-26 J T^-1 

892electron mag. mom. anomaly 1.159 652 180 91 e-3 0.000 000 000 26 e-3 

893electron mag. mom. to Bohr magneton ratio -1.001 159 652 180 91 0.000 000 000 000 26 

894electron mag. mom. to nuclear magneton ratio -1838.281 972 34 0.000 000 17 

895electron mass 9.109 383 56 e-31 0.000 000 11 e-31 kg 

896electron mass energy equivalent 8.187 105 65 e-14 0.000 000 10 e-14 J 

897electron mass energy equivalent in MeV 0.510 998 9461 0.000 000 0031 MeV 

898electron mass in u 5.485 799 090 70 e-4 0.000 000 000 16 e-4 u 

899electron molar mass 5.485 799 090 70 e-7 0.000 000 000 16 e-7 kg mol^-1 

900electron-muon mag. mom. ratio 206.766 9880 0.000 0046 

901electron-muon mass ratio 4.836 331 70 e-3 0.000 000 11 e-3 

902electron-neutron mag. mom. ratio 960.920 50 0.000 23 

903electron-neutron mass ratio 5.438 673 4428 e-4 0.000 000 0027 e-4 

904electron-proton mag. mom. ratio -658.210 6866 0.000 0020 

905electron-proton mass ratio 5.446 170 213 52 e-4 0.000 000 000 52 e-4 

906electron-tau mass ratio 2.875 92 e-4 0.000 26 e-4 

907electron to alpha particle mass ratio 1.370 933 554 798 e-4 0.000 000 000 045 e-4 

908electron to shielded helion mag. mom. ratio 864.058 257 0.000 010 

909electron to shielded proton mag. mom. ratio -658.227 5971 0.000 0072 

910electron-triton mass ratio 1.819 200 062 203 e-4 0.000 000 000 084 e-4 

911electron volt 1.602 176 6208 e-19 0.000 000 0098 e-19 J 

912electron volt-atomic mass unit relationship 1.073 544 1105 e-9 0.000 000 0066 e-9 u 

913electron volt-hartree relationship 3.674 932 248 e-2 0.000 000 023 e-2 E_h 

914electron volt-hertz relationship 2.417 989 262 e14 0.000 000 015 e14 Hz 

915electron volt-inverse meter relationship 8.065 544 005 e5 0.000 000 050 e5 m^-1 

916electron volt-joule relationship 1.602 176 6208 e-19 0.000 000 0098 e-19 J 

917electron volt-kelvin relationship 1.160 452 21 e4 0.000 000 67 e4 K 

918electron volt-kilogram relationship 1.782 661 907 e-36 0.000 000 011 e-36 kg 

919elementary charge 1.602 176 6208 e-19 0.000 000 0098 e-19 C 

920elementary charge over h 2.417 989 262 e14 0.000 000 015 e14 A J^-1 

921Faraday constant 96 485.332 89 0.000 59 C mol^-1 

922Faraday constant for conventional electric current 96 485.3251 0.0012 C_90 mol^-1 

923Fermi coupling constant 1.166 3787 e-5 0.000 0006 e-5 GeV^-2 

924fine-structure constant 7.297 352 5664 e-3 0.000 000 0017 e-3 

925first radiation constant 3.741 771 790 e-16 0.000 000 046 e-16 W m^2 

926first radiation constant for spectral radiance 1.191 042 953 e-16 0.000 000 015 e-16 W m^2 sr^-1 

927hartree-atomic mass unit relationship 2.921 262 3197 e-8 0.000 000 0013 e-8 u 

928hartree-electron volt relationship 27.211 386 02 0.000 000 17 eV 

929Hartree energy 4.359 744 650 e-18 0.000 000 054 e-18 J 

930Hartree energy in eV 27.211 386 02 0.000 000 17 eV 

931hartree-hertz relationship 6.579 683 920 711 e15 0.000 000 000 039 e15 Hz 

932hartree-inverse meter relationship 2.194 746 313 702 e7 0.000 000 000 013 e7 m^-1 

933hartree-joule relationship 4.359 744 650 e-18 0.000 000 054 e-18 J 

934hartree-kelvin relationship 3.157 7513 e5 0.000 0018 e5 K 

935hartree-kilogram relationship 4.850 870 129 e-35 0.000 000 060 e-35 kg 

936helion-electron mass ratio 5495.885 279 22 0.000 000 27 

937helion g factor -4.255 250 616 0.000 000 050 

938helion mag. mom. -1.074 617 522 e-26 0.000 000 014 e-26 J T^-1 

939helion mag. mom. to Bohr magneton ratio -1.158 740 958 e-3 0.000 000 014 e-3 

940helion mag. mom. to nuclear magneton ratio -2.127 625 308 0.000 000 025 

941helion mass 5.006 412 700 e-27 0.000 000 062 e-27 kg 

942helion mass energy equivalent 4.499 539 341 e-10 0.000 000 055 e-10 J 

943helion mass energy equivalent in MeV 2808.391 586 0.000 017 MeV 

944helion mass in u 3.014 932 246 73 0.000 000 000 12 u 

945helion molar mass 3.014 932 246 73 e-3 0.000 000 000 12 e-3 kg mol^-1 

946helion-proton mass ratio 2.993 152 670 46 0.000 000 000 29 

947hertz-atomic mass unit relationship 4.439 821 6616 e-24 0.000 000 0020 e-24 u 

948hertz-electron volt relationship 4.135 667 662 e-15 0.000 000 025 e-15 eV 

949hertz-hartree relationship 1.5198298460088 e-16 0.0000000000090e-16 E_h 

950hertz-inverse meter relationship 3.335 640 951... e-9 (exact) m^-1 

951hertz-joule relationship 6.626 070 040 e-34 0.000 000 081 e-34 J 

952hertz-kelvin relationship 4.799 2447 e-11 0.000 0028 e-11 K 

953hertz-kilogram relationship 7.372 497 201 e-51 0.000 000 091 e-51 kg 

954inverse fine-structure constant 137.035 999 139 0.000 000 031 

955inverse meter-atomic mass unit relationship 1.331 025 049 00 e-15 0.000 000 000 61 e-15 u 

956inverse meter-electron volt relationship 1.239 841 9739 e-6 0.000 000 0076 e-6 eV 

957inverse meter-hartree relationship 4.556 335 252 767 e-8 0.000 000 000 027 e-8 E_h 

958inverse meter-hertz relationship 299 792 458 (exact) Hz 

959inverse meter-joule relationship 1.986 445 824 e-25 0.000 000 024 e-25 J 

960inverse meter-kelvin relationship 1.438 777 36 e-2 0.000 000 83 e-2 K 

961inverse meter-kilogram relationship 2.210 219 057 e-42 0.000 000 027 e-42 kg 

962inverse of conductance quantum 12 906.403 7278 0.000 0029 ohm 

963Josephson constant 483 597.8525 e9 0.0030 e9 Hz V^-1 

964joule-atomic mass unit relationship 6.700 535 363 e9 0.000 000 082 e9 u 

965joule-electron volt relationship 6.241 509 126 e18 0.000 000 038 e18 eV 

966joule-hartree relationship 2.293 712 317 e17 0.000 000 028 e17 E_h 

967joule-hertz relationship 1.509 190 205 e33 0.000 000 019 e33 Hz 

968joule-inverse meter relationship 5.034 116 651 e24 0.000 000 062 e24 m^-1 

969joule-kelvin relationship 7.242 9731 e22 0.000 0042 e22 K 

970joule-kilogram relationship 1.112 650 056... e-17 (exact) kg 

971kelvin-atomic mass unit relationship 9.251 0842 e-14 0.000 0053 e-14 u 

972kelvin-electron volt relationship 8.617 3303 e-5 0.000 0050 e-5 eV 

973kelvin-hartree relationship 3.166 8105 e-6 0.000 0018 e-6 E_h 

974kelvin-hertz relationship 2.083 6612 e10 0.000 0012 e10 Hz 

975kelvin-inverse meter relationship 69.503 457 0.000 040 m^-1 

976kelvin-joule relationship 1.380 648 52 e-23 0.000 000 79 e-23 J 

977kelvin-kilogram relationship 1.536 178 65 e-40 0.000 000 88 e-40 kg 

978kilogram-atomic mass unit relationship 6.022 140 857 e26 0.000 000 074 e26 u 

979kilogram-electron volt relationship 5.609 588 650 e35 0.000 000 034 e35 eV 

980kilogram-hartree relationship 2.061 485 823 e34 0.000 000 025 e34 E_h 

981kilogram-hertz relationship 1.356 392 512 e50 0.000 000 017 e50 Hz 

982kilogram-inverse meter relationship 4.524 438 411 e41 0.000 000 056 e41 m^-1 

983kilogram-joule relationship 8.987 551 787... e16 (exact) J 

984kilogram-kelvin relationship 6.509 6595 e39 0.000 0037 e39 K 

985lattice parameter of silicon 543.102 0504 e-12 0.000 0089 e-12 m 

986Loschmidt constant (273.15 K, 100 kPa) 2.651 6467 e25 0.000 0015 e25 m^-3 

987Loschmidt constant (273.15 K, 101.325 kPa) 2.686 7811 e25 0.000 0015 e25 m^-3 

988mag. constant 12.566 370 614... e-7 (exact) N A^-2 

989mag. flux quantum 2.067 833 831 e-15 0.000 000 013 e-15 Wb 

990molar gas constant 8.314 4598 0.000 0048 J mol^-1 K^-1 

991molar mass constant 1 e-3 (exact) kg mol^-1 

992molar mass of carbon-12 12 e-3 (exact) kg mol^-1 

993molar Planck constant 3.990 312 7110 e-10 0.000 000 0018 e-10 J s mol^-1 

994molar Planck constant times c 0.119 626 565 582 0.000 000 000 054 J m mol^-1 

995molar volume of ideal gas (273.15 K, 100 kPa) 22.710 947 e-3 0.000 013 e-3 m^3 mol^-1 

996molar volume of ideal gas (273.15 K, 101.325 kPa) 22.413 962 e-3 0.000 013 e-3 m^3 mol^-1 

997molar volume of silicon 12.058 832 14 e-6 0.000 000 61 e-6 m^3 mol^-1 

998Mo x unit 1.002 099 52 e-13 0.000 000 53 e-13 m 

999muon Compton wavelength 11.734 441 11 e-15 0.000 000 26 e-15 m 

1000muon Compton wavelength over 2 pi 1.867 594 308 e-15 0.000 000 042 e-15 m 

1001muon-electron mass ratio 206.768 2826 0.000 0046 

1002muon g factor -2.002 331 8418 0.000 000 0013 

1003muon mag. mom. -4.490 448 26 e-26 0.000 000 10 e-26 J T^-1 

1004muon mag. mom. anomaly 1.165 920 89 e-3 0.000 000 63 e-3 

1005muon mag. mom. to Bohr magneton ratio -4.841 970 48 e-3 0.000 000 11 e-3 

1006muon mag. mom. to nuclear magneton ratio -8.890 597 05 0.000 000 20 

1007muon mass 1.883 531 594 e-28 0.000 000 048 e-28 kg 

1008muon mass energy equivalent 1.692 833 774 e-11 0.000 000 043 e-11 J 

1009muon mass energy equivalent in MeV 105.658 3745 0.000 0024 MeV 

1010muon mass in u 0.113 428 9257 0.000 000 0025 u 

1011muon molar mass 0.113 428 9257 e-3 0.000 000 0025 e-3 kg mol^-1 

1012muon-neutron mass ratio 0.112 454 5167 0.000 000 0025 

1013muon-proton mag. mom. ratio -3.183 345 142 0.000 000 071 

1014muon-proton mass ratio 0.112 609 5262 0.000 000 0025 

1015muon-tau mass ratio 5.946 49 e-2 0.000 54 e-2 

1016natural unit of action 1.054 571 800 e-34 0.000 000 013 e-34 J s 

1017natural unit of action in eV s 6.582 119 514 e-16 0.000 000 040 e-16 eV s 

1018natural unit of energy 8.187 105 65 e-14 0.000 000 10 e-14 J 

1019natural unit of energy in MeV 0.510 998 9461 0.000 000 0031 MeV 

1020natural unit of length 386.159 267 64 e-15 0.000 000 18 e-15 m 

1021natural unit of mass 9.109 383 56 e-31 0.000 000 11 e-31 kg 

1022natural unit of mom.um 2.730 924 488 e-22 0.000 000 034 e-22 kg m s^-1 

1023natural unit of mom.um in MeV/c 0.510 998 9461 0.000 000 0031 MeV/c 

1024natural unit of time 1.288 088 667 12 e-21 0.000 000 000 58 e-21 s 

1025natural unit of velocity 299 792 458 (exact) m s^-1 

1026neutron Compton wavelength 1.319 590 904 81 e-15 0.000 000 000 88 e-15 m 

1027neutron Compton wavelength over 2 pi 0.210 019 415 36 e-15 0.000 000 000 14 e-15 m 

1028neutron-electron mag. mom. ratio 1.040 668 82 e-3 0.000 000 25 e-3 

1029neutron-electron mass ratio 1838.683 661 58 0.000 000 90 

1030neutron g factor -3.826 085 45 0.000 000 90 

1031neutron gyromag. ratio 1.832 471 72 e8 0.000 000 43 e8 s^-1 T^-1 

1032neutron gyromag. ratio over 2 pi 29.164 6933 0.000 0069 MHz T^-1 

1033neutron mag. mom. -0.966 236 50 e-26 0.000 000 23 e-26 J T^-1 

1034neutron mag. mom. to Bohr magneton ratio -1.041 875 63 e-3 0.000 000 25 e-3 

1035neutron mag. mom. to nuclear magneton ratio -1.913 042 73 0.000 000 45 

1036neutron mass 1.674 927 471 e-27 0.000 000 021 e-27 kg 

1037neutron mass energy equivalent 1.505 349 739 e-10 0.000 000 019 e-10 J 

1038neutron mass energy equivalent in MeV 939.565 4133 0.000 0058 MeV 

1039neutron mass in u 1.008 664 915 88 0.000 000 000 49 u 

1040neutron molar mass 1.008 664 915 88 e-3 0.000 000 000 49 e-3 kg mol^-1 

1041neutron-muon mass ratio 8.892 484 08 0.000 000 20 

1042neutron-proton mag. mom. ratio -0.684 979 34 0.000 000 16 

1043neutron-proton mass difference 2.305 573 77 e-30 0.000 000 85 e-30 

1044neutron-proton mass difference energy equivalent 2.072 146 37 e-13 0.000 000 76 e-13 

1045neutron-proton mass difference energy equivalent in MeV 1.293 332 05 0.000 000 48 

1046neutron-proton mass difference in u 0.001 388 449 00 0.000 000 000 51 

1047neutron-proton mass ratio 1.001 378 418 98 0.000 000 000 51 

1048neutron-tau mass ratio 0.528 790 0.000 048 

1049neutron to shielded proton mag. mom. ratio -0.684 996 94 0.000 000 16 

1050Newtonian constant of gravitation 6.674 08 e-11 0.000 31 e-11 m^3 kg^-1 s^-2 

1051Newtonian constant of gravitation over h-bar c 6.708 61 e-39 0.000 31 e-39 (GeV/c^2)^-2 

1052nuclear magneton 5.050 783 699 e-27 0.000 000 031 e-27 J T^-1 

1053nuclear magneton in eV/T 3.152 451 2550 e-8 0.000 000 0015 e-8 eV T^-1 

1054nuclear magneton in inverse meters per tesla 2.542 623 432 e-2 0.000 000 016 e-2 m^-1 T^-1 

1055nuclear magneton in K/T 3.658 2690 e-4 0.000 0021 e-4 K T^-1 

1056nuclear magneton in MHz/T 7.622 593 285 0.000 000 047 MHz T^-1 

1057Planck constant 6.626 070 040 e-34 0.000 000 081 e-34 J s 

1058Planck constant in eV s 4.135 667 662 e-15 0.000 000 025 e-15 eV s 

1059Planck constant over 2 pi 1.054 571 800 e-34 0.000 000 013 e-34 J s 

1060Planck constant over 2 pi in eV s 6.582 119 514 e-16 0.000 000 040 e-16 eV s 

1061Planck constant over 2 pi times c in MeV fm 197.326 9788 0.000 0012 MeV fm 

1062Planck length 1.616 229 e-35 0.000 038 e-35 m 

1063Planck mass 2.176 470 e-8 0.000 051 e-8 kg 

1064Planck mass energy equivalent in GeV 1.220 910 e19 0.000 029 e19 GeV 

1065Planck temperature 1.416 808 e32 0.000 033 e32 K 

1066Planck time 5.391 16 e-44 0.000 13 e-44 s 

1067proton charge to mass quotient 9.578 833 226 e7 0.000 000 059 e7 C kg^-1 

1068proton Compton wavelength 1.321 409 853 96 e-15 0.000 000 000 61 e-15 m 

1069proton Compton wavelength over 2 pi 0.210 308910109e-15 0.000 000 000097e-15 m 

1070proton-electron mass ratio 1836.152 673 89 0.000 000 17 

1071proton g factor 5.585 694 702 0.000 000 017 

1072proton gyromag. ratio 2.675 221 900 e8 0.000 000 018 e8 s^-1 T^-1 

1073proton gyromag. ratio over 2 pi 42.577 478 92 0.000 000 29 MHz T^-1 

1074proton mag. mom. 1.410 606 7873 e-26 0.000 000 0097 e-26 J T^-1 

1075proton mag. mom. to Bohr magneton ratio 1.521 032 2053 e-3 0.000 000 0046 e-3 

1076proton mag. mom. to nuclear magneton ratio 2.792 847 3508 0.000 000 0085 

1077proton mag. shielding correction 25.691 e-6 0.011 e-6 

1078proton mass 1.672 621 898 e-27 0.000 000 021 e-27 kg 

1079proton mass energy equivalent 1.503 277 593 e-10 0.000 000 018 e-10 J 

1080proton mass energy equivalent in MeV 938.272 0813 0.000 0058 MeV 

1081proton mass in u 1.007 276 466 879 0.000 000 000 091 u 

1082proton molar mass 1.007 276 466 879 e-3 0.000 000 000 091 e-3 kg mol^-1 

1083proton-muon mass ratio 8.880 243 38 0.000 000 20 

1084proton-neutron mag. mom. ratio -1.459 898 05 0.000 000 34 

1085proton-neutron mass ratio 0.998 623 478 44 0.000 000 000 51 

1086proton rms charge radius 0.8751 e-15 0.0061 e-15 m 

1087proton-tau mass ratio 0.528 063 0.000 048 

1088quantum of circulation 3.636 947 5486 e-4 0.000 000 0017 e-4 m^2 s^-1 

1089quantum of circulation times 2 7.273 895 0972 e-4 0.000 000 0033 e-4 m^2 s^-1 

1090Rydberg constant 10 973 731.568 508 0.000 065 m^-1 

1091Rydberg constant times c in Hz 3.289 841 960 355 e15 0.000 000 000 019 e15 Hz 

1092Rydberg constant times hc in eV 13.605 693 009 0.000 000 084 eV 

1093Rydberg constant times hc in J 2.179 872 325 e-18 0.000 000 027 e-18 J 

1094Sackur-Tetrode constant (1 K, 100 kPa) -1.151 7084 0.000 0014 

1095Sackur-Tetrode constant (1 K, 101.325 kPa) -1.164 8714 0.000 0014 

1096second radiation constant 1.438 777 36 e-2 0.000 000 83 e-2 m K 

1097shielded helion gyromag. ratio 2.037 894 585 e8 0.000 000 027 e8 s^-1 T^-1 

1098shielded helion gyromag. ratio over 2 pi 32.434 099 66 0.000 000 43 MHz T^-1 

1099shielded helion mag. mom. -1.074 553 080 e-26 0.000 000 014 e-26 J T^-1 

1100shielded helion mag. mom. to Bohr magneton ratio -1.158 671 471 e-3 0.000 000 014 e-3 

1101shielded helion mag. mom. to nuclear magneton ratio -2.127 497 720 0.000 000 025 

1102shielded helion to proton mag. mom. ratio -0.761 766 5603 0.000 000 0092 

1103shielded helion to shielded proton mag. mom. ratio -0.761 786 1313 0.000 000 0033 

1104shielded proton gyromag. ratio 2.675 153 171 e8 0.000 000 033 e8 s^-1 T^-1 

1105shielded proton gyromag. ratio over 2 pi 42.576 385 07 0.000 000 53 MHz T^-1 

1106shielded proton mag. mom. 1.410 570 547 e-26 0.000 000 018 e-26 J T^-1 

1107shielded proton mag. mom. to Bohr magneton ratio 1.520 993 128 e-3 0.000 000 017 e-3 

1108shielded proton mag. mom. to nuclear magneton ratio 2.792 775 600 0.000 000 030 

1109speed of light in vacuum 299 792 458 (exact) m s^-1 

1110standard acceleration of gravity 9.806 65 (exact) m s^-2 

1111standard atmosphere 101 325 (exact) Pa 

1112standard-state pressure 100 000 (exact) Pa 

1113Stefan-Boltzmann constant 5.670 367 e-8 0.000 013 e-8 W m^-2 K^-4 

1114tau Compton wavelength 0.697 787 e-15 0.000 063 e-15 m 

1115tau Compton wavelength over 2 pi 0.111 056 e-15 0.000 010 e-15 m 

1116tau-electron mass ratio 3477.15 0.31 

1117tau mass 3.167 47 e-27 0.000 29 e-27 kg 

1118tau mass energy equivalent 2.846 78 e-10 0.000 26 e-10 J 

1119tau mass energy equivalent in MeV 1776.82 0.16 MeV 

1120tau mass in u 1.907 49 0.000 17 u 

1121tau molar mass 1.907 49 e-3 0.000 17 e-3 kg mol^-1 

1122tau-muon mass ratio 16.8167 0.0015 

1123tau-neutron mass ratio 1.891 11 0.000 17 

1124tau-proton mass ratio 1.893 72 0.000 17 

1125Thomson cross section 0.665 245 871 58 e-28 0.000 000 000 91 e-28 m^2 

1126triton-electron mass ratio 5496.921 535 88 0.000 000 26 

1127triton g factor 5.957 924 920 0.000 000 028 

1128triton mag. mom. 1.504 609 503 e-26 0.000 000 012 e-26 J T^-1 

1129triton mag. mom. to Bohr magneton ratio 1.622 393 6616 e-3 0.000 000 0076 e-3 

1130triton mag. mom. to nuclear magneton ratio 2.978 962 460 0.000 000 014 

1131triton mass 5.007 356 665 e-27 0.000 000 062 e-27 kg 

1132triton mass energy equivalent 4.500 387 735 e-10 0.000 000 055 e-10 J 

1133triton mass energy equivalent in MeV 2808.921 112 0.000 017 MeV 

1134triton mass in u 3.015 500 716 32 0.000 000 000 11 u 

1135triton molar mass 3.015 500 716 32 e-3 0.000 000 000 11 e-3 kg mol^-1 

1136triton-proton mass ratio 2.993 717 033 48 0.000 000 000 22 

1137unified atomic mass unit 1.660 539 040 e-27 0.000 000 020 e-27 kg 

1138von Klitzing constant 25 812.807 4555 0.000 0059 ohm 

1139weak mixing angle 0.2223 0.0021 

1140Wien frequency displacement law constant 5.878 9238 e10 0.000 0034 e10 Hz K^-1 

1141Wien wavelength displacement law constant 2.897 7729 e-3 0.000 0017 e-3 m K""" 

1142 

1143txt2018 = """\ 

1144alpha particle-electron mass ratio 7294.299 541 42 0.000 000 24 

1145alpha particle mass 6.644 657 3357 e-27 0.000 000 0020 e-27 kg 

1146alpha particle mass energy equivalent 5.971 920 1914 e-10 0.000 000 0018 e-10 J 

1147alpha particle mass energy equivalent in MeV 3727.379 4066 0.000 0011 MeV 

1148alpha particle mass in u 4.001 506 179 127 0.000 000 000 063 u 

1149alpha particle molar mass 4.001 506 1777 e-3 0.000 000 0012 e-3 kg mol^-1 

1150alpha particle-proton mass ratio 3.972 599 690 09 0.000 000 000 22 

1151alpha particle relative atomic mass 4.001 506 179 127 0.000 000 000 063 

1152Angstrom star 1.000 014 95 e-10 0.000 000 90 e-10 m 

1153atomic mass constant 1.660 539 066 60 e-27 0.000 000 000 50 e-27 kg 

1154atomic mass constant energy equivalent 1.492 418 085 60 e-10 0.000 000 000 45 e-10 J 

1155atomic mass constant energy equivalent in MeV 931.494 102 42 0.000 000 28 MeV 

1156atomic mass unit-electron volt relationship 9.314 941 0242 e8 0.000 000 0028 e8 eV 

1157atomic mass unit-hartree relationship 3.423 177 6874 e7 0.000 000 0010 e7 E_h 

1158atomic mass unit-hertz relationship 2.252 342 718 71 e23 0.000 000 000 68 e23 Hz 

1159atomic mass unit-inverse meter relationship 7.513 006 6104 e14 0.000 000 0023 e14 m^-1 

1160atomic mass unit-joule relationship 1.492 418 085 60 e-10 0.000 000 000 45 e-10 J 

1161atomic mass unit-kelvin relationship 1.080 954 019 16 e13 0.000 000 000 33 e13 K 

1162atomic mass unit-kilogram relationship 1.660 539 066 60 e-27 0.000 000 000 50 e-27 kg 

1163atomic unit of 1st hyperpolarizability 3.206 361 3061 e-53 0.000 000 0015 e-53 C^3 m^3 J^-2 

1164atomic unit of 2nd hyperpolarizability 6.235 379 9905 e-65 0.000 000 0038 e-65 C^4 m^4 J^-3 

1165atomic unit of action 1.054 571 817... e-34 (exact) J s 

1166atomic unit of charge 1.602 176 634 e-19 (exact) C 

1167atomic unit of charge density 1.081 202 384 57 e12 0.000 000 000 49 e12 C m^-3 

1168atomic unit of current 6.623 618 237 510 e-3 0.000 000 000 013 e-3 A 

1169atomic unit of electric dipole mom. 8.478 353 6255 e-30 0.000 000 0013 e-30 C m 

1170atomic unit of electric field 5.142 206 747 63 e11 0.000 000 000 78 e11 V m^-1 

1171atomic unit of electric field gradient 9.717 362 4292 e21 0.000 000 0029 e21 V m^-2 

1172atomic unit of electric polarizability 1.648 777 274 36 e-41 0.000 000 000 50 e-41 C^2 m^2 J^-1 

1173atomic unit of electric potential 27.211 386 245 988 0.000 000 000 053 V 

1174atomic unit of electric quadrupole mom. 4.486 551 5246 e-40 0.000 000 0014 e-40 C m^2 

1175atomic unit of energy 4.359 744 722 2071 e-18 0.000 000 000 0085 e-18 J 

1176atomic unit of force 8.238 723 4983 e-8 0.000 000 0012 e-8 N 

1177atomic unit of length 5.291 772 109 03 e-11 0.000 000 000 80 e-11 m 

1178atomic unit of mag. dipole mom. 1.854 802 015 66 e-23 0.000 000 000 56 e-23 J T^-1 

1179atomic unit of mag. flux density 2.350 517 567 58 e5 0.000 000 000 71 e5 T 

1180atomic unit of magnetizability 7.891 036 6008 e-29 0.000 000 0048 e-29 J T^-2 

1181atomic unit of mass 9.109 383 7015 e-31 0.000 000 0028 e-31 kg 

1182atomic unit of momentum 1.992 851 914 10 e-24 0.000 000 000 30 e-24 kg m s^-1 

1183atomic unit of permittivity 1.112 650 055 45 e-10 0.000 000 000 17 e-10 F m^-1 

1184atomic unit of time 2.418 884 326 5857 e-17 0.000 000 000 0047 e-17 s 

1185atomic unit of velocity 2.187 691 263 64 e6 0.000 000 000 33 e6 m s^-1 

1186Avogadro constant 6.022 140 76 e23 (exact) mol^-1 

1187Bohr magneton 9.274 010 0783 e-24 0.000 000 0028 e-24 J T^-1 

1188Bohr magneton in eV/T 5.788 381 8060 e-5 0.000 000 0017 e-5 eV T^-1 

1189Bohr magneton in Hz/T 1.399 624 493 61 e10 0.000 000 000 42 e10 Hz T^-1 

1190Bohr magneton in inverse meter per tesla 46.686 447 783 0.000 000 014 m^-1 T^-1 

1191Bohr magneton in K/T 0.671 713 815 63 0.000 000 000 20 K T^-1 

1192Bohr radius 5.291 772 109 03 e-11 0.000 000 000 80 e-11 m 

1193Boltzmann constant 1.380 649 e-23 (exact) J K^-1 

1194Boltzmann constant in eV/K 8.617 333 262... e-5 (exact) eV K^-1 

1195Boltzmann constant in Hz/K 2.083 661 912... e10 (exact) Hz K^-1 

1196Boltzmann constant in inverse meter per kelvin 69.503 480 04... (exact) m^-1 K^-1 

1197classical electron radius 2.817 940 3262 e-15 0.000 000 0013 e-15 m 

1198Compton wavelength 2.426 310 238 67 e-12 0.000 000 000 73 e-12 m 

1199conductance quantum 7.748 091 729... e-5 (exact) S 

1200conventional value of ampere-90 1.000 000 088 87... (exact) A 

1201conventional value of coulomb-90 1.000 000 088 87... (exact) C 

1202conventional value of farad-90 0.999 999 982 20... (exact) F 

1203conventional value of henry-90 1.000 000 017 79... (exact) H 

1204conventional value of Josephson constant 483 597.9 e9 (exact) Hz V^-1 

1205conventional value of ohm-90 1.000 000 017 79... (exact) ohm 

1206conventional value of volt-90 1.000 000 106 66... (exact) V 

1207conventional value of von Klitzing constant 25 812.807 (exact) ohm 

1208conventional value of watt-90 1.000 000 195 53... (exact) W 

1209Cu x unit 1.002 076 97 e-13 0.000 000 28 e-13 m 

1210deuteron-electron mag. mom. ratio -4.664 345 551 e-4 0.000 000 012 e-4 

1211deuteron-electron mass ratio 3670.482 967 88 0.000 000 13 

1212deuteron g factor 0.857 438 2338 0.000 000 0022 

1213deuteron mag. mom. 4.330 735 094 e-27 0.000 000 011 e-27 J T^-1 

1214deuteron mag. mom. to Bohr magneton ratio 4.669 754 570 e-4 0.000 000 012 e-4 

1215deuteron mag. mom. to nuclear magneton ratio 0.857 438 2338 0.000 000 0022 

1216deuteron mass 3.343 583 7724 e-27 0.000 000 0010 e-27 kg 

1217deuteron mass energy equivalent 3.005 063 231 02 e-10 0.000 000 000 91 e-10 J 

1218deuteron mass energy equivalent in MeV 1875.612 942 57 0.000 000 57 MeV 

1219deuteron mass in u 2.013 553 212 745 0.000 000 000 040 u 

1220deuteron molar mass 2.013 553 212 05 e-3 0.000 000 000 61 e-3 kg mol^-1 

1221deuteron-neutron mag. mom. ratio -0.448 206 53 0.000 000 11 

1222deuteron-proton mag. mom. ratio 0.307 012 209 39 0.000 000 000 79 

1223deuteron-proton mass ratio 1.999 007 501 39 0.000 000 000 11 

1224deuteron relative atomic mass 2.013 553 212 745 0.000 000 000 040 

1225deuteron rms charge radius 2.127 99 e-15 0.000 74 e-15 m 

1226electron charge to mass quotient -1.758 820 010 76 e11 0.000 000 000 53 e11 C kg^-1 

1227electron-deuteron mag. mom. ratio -2143.923 4915 0.000 0056 

1228electron-deuteron mass ratio 2.724 437 107 462 e-4 0.000 000 000 096 e-4 

1229electron g factor -2.002 319 304 362 56 0.000 000 000 000 35 

1230electron gyromag. ratio 1.760 859 630 23 e11 0.000 000 000 53 e11 s^-1 T^-1 

1231electron gyromag. ratio in MHz/T 28 024.951 4242 0.000 0085 MHz T^-1 

1232electron-helion mass ratio 1.819 543 074 573 e-4 0.000 000 000 079 e-4 

1233electron mag. mom. -9.284 764 7043 e-24 0.000 000 0028 e-24 J T^-1 

1234electron mag. mom. anomaly 1.159 652 181 28 e-3 0.000 000 000 18 e-3 

1235electron mag. mom. to Bohr magneton ratio -1.001 159 652 181 28 0.000 000 000 000 18 

1236electron mag. mom. to nuclear magneton ratio -1838.281 971 88 0.000 000 11 

1237electron mass 9.109 383 7015 e-31 0.000 000 0028 e-31 kg 

1238electron mass energy equivalent 8.187 105 7769 e-14 0.000 000 0025 e-14 J 

1239electron mass energy equivalent in MeV 0.510 998 950 00 0.000 000 000 15 MeV 

1240electron mass in u 5.485 799 090 65 e-4 0.000 000 000 16 e-4 u 

1241electron molar mass 5.485 799 0888 e-7 0.000 000 0017 e-7 kg mol^-1 

1242electron-muon mag. mom. ratio 206.766 9883 0.000 0046 

1243electron-muon mass ratio 4.836 331 69 e-3 0.000 000 11 e-3 

1244electron-neutron mag. mom. ratio 960.920 50 0.000 23 

1245electron-neutron mass ratio 5.438 673 4424 e-4 0.000 000 0026 e-4 

1246electron-proton mag. mom. ratio -658.210 687 89 0.000 000 20 

1247electron-proton mass ratio 5.446 170 214 87 e-4 0.000 000 000 33 e-4 

1248electron relative atomic mass 5.485 799 090 65 e-4 0.000 000 000 16 e-4 

1249electron-tau mass ratio 2.875 85 e-4 0.000 19 e-4 

1250electron to alpha particle mass ratio 1.370 933 554 787 e-4 0.000 000 000 045 e-4 

1251electron to shielded helion mag. mom. ratio 864.058 257 0.000 010 

1252electron to shielded proton mag. mom. ratio -658.227 5971 0.000 0072 

1253electron-triton mass ratio 1.819 200 062 251 e-4 0.000 000 000 090 e-4 

1254electron volt 1.602 176 634 e-19 (exact) J 

1255electron volt-atomic mass unit relationship 1.073 544 102 33 e-9 0.000 000 000 32 e-9 u 

1256electron volt-hartree relationship 3.674 932 217 5655 e-2 0.000 000 000 0071 e-2 E_h 

1257electron volt-hertz relationship 2.417 989 242... e14 (exact) Hz 

1258electron volt-inverse meter relationship 8.065 543 937... e5 (exact) m^-1 

1259electron volt-joule relationship 1.602 176 634 e-19 (exact) J 

1260electron volt-kelvin relationship 1.160 451 812... e4 (exact) K 

1261electron volt-kilogram relationship 1.782 661 921... e-36 (exact) kg 

1262elementary charge 1.602 176 634 e-19 (exact) C 

1263elementary charge over h-bar 1.519 267 447... e15 (exact) A J^-1 

1264Faraday constant 96 485.332 12... (exact) C mol^-1 

1265Fermi coupling constant 1.166 3787 e-5 0.000 0006 e-5 GeV^-2 

1266fine-structure constant 7.297 352 5693 e-3 0.000 000 0011 e-3 

1267first radiation constant 3.741 771 852... e-16 (exact) W m^2 

1268first radiation constant for spectral radiance 1.191 042 972... e-16 (exact) W m^2 sr^-1 

1269hartree-atomic mass unit relationship 2.921 262 322 05 e-8 0.000 000 000 88 e-8 u 

1270hartree-electron volt relationship 27.211 386 245 988 0.000 000 000 053 eV 

1271Hartree energy 4.359 744 722 2071 e-18 0.000 000 000 0085 e-18 J 

1272Hartree energy in eV 27.211 386 245 988 0.000 000 000 053 eV 

1273hartree-hertz relationship 6.579 683 920 502 e15 0.000 000 000 013 e15 Hz 

1274hartree-inverse meter relationship 2.194 746 313 6320 e7 0.000 000 000 0043 e7 m^-1 

1275hartree-joule relationship 4.359 744 722 2071 e-18 0.000 000 000 0085 e-18 J 

1276hartree-kelvin relationship 3.157 750 248 0407 e5 0.000 000 000 0061 e5 K 

1277hartree-kilogram relationship 4.850 870 209 5432 e-35 0.000 000 000 0094 e-35 kg 

1278helion-electron mass ratio 5495.885 280 07 0.000 000 24 

1279helion g factor -4.255 250 615 0.000 000 050 

1280helion mag. mom. -1.074 617 532 e-26 0.000 000 013 e-26 J T^-1 

1281helion mag. mom. to Bohr magneton ratio -1.158 740 958 e-3 0.000 000 014 e-3 

1282helion mag. mom. to nuclear magneton ratio -2.127 625 307 0.000 000 025 

1283helion mass 5.006 412 7796 e-27 0.000 000 0015 e-27 kg 

1284helion mass energy equivalent 4.499 539 4125 e-10 0.000 000 0014 e-10 J 

1285helion mass energy equivalent in MeV 2808.391 607 43 0.000 000 85 MeV 

1286helion mass in u 3.014 932 247 175 0.000 000 000 097 u 

1287helion molar mass 3.014 932 246 13 e-3 0.000 000 000 91 e-3 kg mol^-1 

1288helion-proton mass ratio 2.993 152 671 67 0.000 000 000 13 

1289helion relative atomic mass 3.014 932 247 175 0.000 000 000 097 

1290helion shielding shift 5.996 743 e-5 0.000 010 e-5 

1291hertz-atomic mass unit relationship 4.439 821 6652 e-24 0.000 000 0013 e-24 u 

1292hertz-electron volt relationship 4.135 667 696... e-15 (exact) eV 

1293hertz-hartree relationship 1.519 829 846 0570 e-16 0.000 000 000 0029 e-16 E_h 

1294hertz-inverse meter relationship 3.335 640 951... e-9 (exact) m^-1 

1295hertz-joule relationship 6.626 070 15 e-34 (exact) J 

1296hertz-kelvin relationship 4.799 243 073... e-11 (exact) K 

1297hertz-kilogram relationship 7.372 497 323... e-51 (exact) kg 

1298hyperfine transition frequency of Cs-133 9 192 631 770 (exact) Hz 

1299inverse fine-structure constant 137.035 999 084 0.000 000 021 

1300inverse meter-atomic mass unit relationship 1.331 025 050 10 e-15 0.000 000 000 40 e-15 u 

1301inverse meter-electron volt relationship 1.239 841 984... e-6 (exact) eV 

1302inverse meter-hartree relationship 4.556 335 252 9120 e-8 0.000 000 000 0088 e-8 E_h 

1303inverse meter-hertz relationship 299 792 458 (exact) Hz 

1304inverse meter-joule relationship 1.986 445 857... e-25 (exact) J 

1305inverse meter-kelvin relationship 1.438 776 877... e-2 (exact) K 

1306inverse meter-kilogram relationship 2.210 219 094... e-42 (exact) kg 

1307inverse of conductance quantum 12 906.403 72... (exact) ohm 

1308Josephson constant 483 597.848 4... e9 (exact) Hz V^-1 

1309joule-atomic mass unit relationship 6.700 535 2565 e9 0.000 000 0020 e9 u 

1310joule-electron volt relationship 6.241 509 074... e18 (exact) eV 

1311joule-hartree relationship 2.293 712 278 3963 e17 0.000 000 000 0045 e17 E_h 

1312joule-hertz relationship 1.509 190 179... e33 (exact) Hz 

1313joule-inverse meter relationship 5.034 116 567... e24 (exact) m^-1 

1314joule-kelvin relationship 7.242 970 516... e22 (exact) K 

1315joule-kilogram relationship 1.112 650 056... e-17 (exact) kg 

1316kelvin-atomic mass unit relationship 9.251 087 3014 e-14 0.000 000 0028 e-14 u 

1317kelvin-electron volt relationship 8.617 333 262... e-5 (exact) eV 

1318kelvin-hartree relationship 3.166 811 563 4556 e-6 0.000 000 000 0061 e-6 E_h 

1319kelvin-hertz relationship 2.083 661 912... e10 (exact) Hz 

1320kelvin-inverse meter relationship 69.503 480 04... (exact) m^-1 

1321kelvin-joule relationship 1.380 649 e-23 (exact) J 

1322kelvin-kilogram relationship 1.536 179 187... e-40 (exact) kg 

1323kilogram-atomic mass unit relationship 6.022 140 7621 e26 0.000 000 0018 e26 u 

1324kilogram-electron volt relationship 5.609 588 603... e35 (exact) eV 

1325kilogram-hartree relationship 2.061 485 788 7409 e34 0.000 000 000 0040 e34 E_h 

1326kilogram-hertz relationship 1.356 392 489... e50 (exact) Hz 

1327kilogram-inverse meter relationship 4.524 438 335... e41 (exact) m^-1 

1328kilogram-joule relationship 8.987 551 787... e16 (exact) J 

1329kilogram-kelvin relationship 6.509 657 260... e39 (exact) K 

1330lattice parameter of silicon 5.431 020 511 e-10 0.000 000 089 e-10 m 

1331lattice spacing of ideal Si (220) 1.920 155 716 e-10 0.000 000 032 e-10 m 

1332Loschmidt constant (273.15 K, 100 kPa) 2.651 645 804... e25 (exact) m^-3 

1333Loschmidt constant (273.15 K, 101.325 kPa) 2.686 780 111... e25 (exact) m^-3 

1334luminous efficacy 683 (exact) lm W^-1 

1335mag. flux quantum 2.067 833 848... e-15 (exact) Wb 

1336molar gas constant 8.314 462 618... (exact) J mol^-1 K^-1 

1337molar mass constant 0.999 999 999 65 e-3 0.000 000 000 30 e-3 kg mol^-1 

1338molar mass of carbon-12 11.999 999 9958 e-3 0.000 000 0036 e-3 kg mol^-1 

1339molar Planck constant 3.990 312 712... e-10 (exact) J Hz^-1 mol^-1 

1340molar volume of ideal gas (273.15 K, 100 kPa) 22.710 954 64... e-3 (exact) m^3 mol^-1 

1341molar volume of ideal gas (273.15 K, 101.325 kPa) 22.413 969 54... e-3 (exact) m^3 mol^-1 

1342molar volume of silicon 1.205 883 199 e-5 0.000 000 060 e-5 m^3 mol^-1 

1343Mo x unit 1.002 099 52 e-13 0.000 000 53 e-13 m 

1344muon Compton wavelength 1.173 444 110 e-14 0.000 000 026 e-14 m 

1345muon-electron mass ratio 206.768 2830 0.000 0046 

1346muon g factor -2.002 331 8418 0.000 000 0013 

1347muon mag. mom. -4.490 448 30 e-26 0.000 000 10 e-26 J T^-1 

1348muon mag. mom. anomaly 1.165 920 89 e-3 0.000 000 63 e-3 

1349muon mag. mom. to Bohr magneton ratio -4.841 970 47 e-3 0.000 000 11 e-3 

1350muon mag. mom. to nuclear magneton ratio -8.890 597 03 0.000 000 20 

1351muon mass 1.883 531 627 e-28 0.000 000 042 e-28 kg 

1352muon mass energy equivalent 1.692 833 804 e-11 0.000 000 038 e-11 J 

1353muon mass energy equivalent in MeV 105.658 3755 0.000 0023 MeV 

1354muon mass in u 0.113 428 9259 0.000 000 0025 u 

1355muon molar mass 1.134 289 259 e-4 0.000 000 025 e-4 kg mol^-1 

1356muon-neutron mass ratio 0.112 454 5170 0.000 000 0025 

1357muon-proton mag. mom. ratio -3.183 345 142 0.000 000 071 

1358muon-proton mass ratio 0.112 609 5264 0.000 000 0025 

1359muon-tau mass ratio 5.946 35 e-2 0.000 40 e-2 

1360natural unit of action 1.054 571 817... e-34 (exact) J s 

1361natural unit of action in eV s 6.582 119 569... e-16 (exact) eV s 

1362natural unit of energy 8.187 105 7769 e-14 0.000 000 0025 e-14 J 

1363natural unit of energy in MeV 0.510 998 950 00 0.000 000 000 15 MeV 

1364natural unit of length 3.861 592 6796 e-13 0.000 000 0012 e-13 m 

1365natural unit of mass 9.109 383 7015 e-31 0.000 000 0028 e-31 kg 

1366natural unit of momentum 2.730 924 530 75 e-22 0.000 000 000 82 e-22 kg m s^-1 

1367natural unit of momentum in MeV/c 0.510 998 950 00 0.000 000 000 15 MeV/c 

1368natural unit of time 1.288 088 668 19 e-21 0.000 000 000 39 e-21 s 

1369natural unit of velocity 299 792 458 (exact) m s^-1 

1370neutron Compton wavelength 1.319 590 905 81 e-15 0.000 000 000 75 e-15 m 

1371neutron-electron mag. mom. ratio 1.040 668 82 e-3 0.000 000 25 e-3 

1372neutron-electron mass ratio 1838.683 661 73 0.000 000 89 

1373neutron g factor -3.826 085 45 0.000 000 90 

1374neutron gyromag. ratio 1.832 471 71 e8 0.000 000 43 e8 s^-1 T^-1 

1375neutron gyromag. ratio in MHz/T 29.164 6931 0.000 0069 MHz T^-1 

1376neutron mag. mom. -9.662 3651 e-27 0.000 0023 e-27 J T^-1 

1377neutron mag. mom. to Bohr magneton ratio -1.041 875 63 e-3 0.000 000 25 e-3 

1378neutron mag. mom. to nuclear magneton ratio -1.913 042 73 0.000 000 45 

1379neutron mass 1.674 927 498 04 e-27 0.000 000 000 95 e-27 kg 

1380neutron mass energy equivalent 1.505 349 762 87 e-10 0.000 000 000 86 e-10 J 

1381neutron mass energy equivalent in MeV 939.565 420 52 0.000 000 54 MeV 

1382neutron mass in u 1.008 664 915 95 0.000 000 000 49 u 

1383neutron molar mass 1.008 664 915 60 e-3 0.000 000 000 57 e-3 kg mol^-1 

1384neutron-muon mass ratio 8.892 484 06 0.000 000 20 

1385neutron-proton mag. mom. ratio -0.684 979 34 0.000 000 16 

1386neutron-proton mass difference 2.305 574 35 e-30 0.000 000 82 e-30 kg 

1387neutron-proton mass difference energy equivalent 2.072 146 89 e-13 0.000 000 74 e-13 J 

1388neutron-proton mass difference energy equivalent in MeV 1.293 332 36 0.000 000 46 MeV 

1389neutron-proton mass difference in u 1.388 449 33 e-3 0.000 000 49 e-3 u 

1390neutron-proton mass ratio 1.001 378 419 31 0.000 000 000 49 

1391neutron relative atomic mass 1.008 664 915 95 0.000 000 000 49 

1392neutron-tau mass ratio 0.528 779 0.000 036 

1393neutron to shielded proton mag. mom. ratio -0.684 996 94 0.000 000 16 

1394Newtonian constant of gravitation 6.674 30 e-11 0.000 15 e-11 m^3 kg^-1 s^-2 

1395Newtonian constant of gravitation over h-bar c 6.708 83 e-39 0.000 15 e-39 (GeV/c^2)^-2 

1396nuclear magneton 5.050 783 7461 e-27 0.000 000 0015 e-27 J T^-1 

1397nuclear magneton in eV/T 3.152 451 258 44 e-8 0.000 000 000 96 e-8 eV T^-1 

1398nuclear magneton in inverse meter per tesla 2.542 623 413 53 e-2 0.000 000 000 78 e-2 m^-1 T^-1 

1399nuclear magneton in K/T 3.658 267 7756 e-4 0.000 000 0011 e-4 K T^-1 

1400nuclear magneton in MHz/T 7.622 593 2291 0.000 000 0023 MHz T^-1 

1401Planck constant 6.626 070 15 e-34 (exact) J Hz^-1 

1402Planck constant in eV/Hz 4.135 667 696... e-15 (exact) eV Hz^-1 

1403Planck length 1.616 255 e-35 0.000 018 e-35 m 

1404Planck mass 2.176 434 e-8 0.000 024 e-8 kg 

1405Planck mass energy equivalent in GeV 1.220 890 e19 0.000 014 e19 GeV 

1406Planck temperature 1.416 784 e32 0.000 016 e32 K 

1407Planck time 5.391 247 e-44 0.000 060 e-44 s 

1408proton charge to mass quotient 9.578 833 1560 e7 0.000 000 0029 e7 C kg^-1 

1409proton Compton wavelength 1.321 409 855 39 e-15 0.000 000 000 40 e-15 m 

1410proton-electron mass ratio 1836.152 673 43 0.000 000 11 

1411proton g factor 5.585 694 6893 0.000 000 0016 

1412proton gyromag. ratio 2.675 221 8744 e8 0.000 000 0011 e8 s^-1 T^-1 

1413proton gyromag. ratio in MHz/T 42.577 478 518 0.000 000 018 MHz T^-1 

1414proton mag. mom. 1.410 606 797 36 e-26 0.000 000 000 60 e-26 J T^-1 

1415proton mag. mom. to Bohr magneton ratio 1.521 032 202 30 e-3 0.000 000 000 46 e-3 

1416proton mag. mom. to nuclear magneton ratio 2.792 847 344 63 0.000 000 000 82 

1417proton mag. shielding correction 2.5689 e-5 0.0011 e-5 

1418proton mass 1.672 621 923 69 e-27 0.000 000 000 51 e-27 kg 

1419proton mass energy equivalent 1.503 277 615 98 e-10 0.000 000 000 46 e-10 J 

1420proton mass energy equivalent in MeV 938.272 088 16 0.000 000 29 MeV 

1421proton mass in u 1.007 276 466 621 0.000 000 000 053 u 

1422proton molar mass 1.007 276 466 27 e-3 0.000 000 000 31 e-3 kg mol^-1 

1423proton-muon mass ratio 8.880 243 37 0.000 000 20 

1424proton-neutron mag. mom. ratio -1.459 898 05 0.000 000 34 

1425proton-neutron mass ratio 0.998 623 478 12 0.000 000 000 49 

1426proton relative atomic mass 1.007 276 466 621 0.000 000 000 053 

1427proton rms charge radius 8.414 e-16 0.019 e-16 m 

1428proton-tau mass ratio 0.528 051 0.000 036 

1429quantum of circulation 3.636 947 5516 e-4 0.000 000 0011 e-4 m^2 s^-1 

1430quantum of circulation times 2 7.273 895 1032 e-4 0.000 000 0022 e-4 m^2 s^-1 

1431reduced Compton wavelength 3.861 592 6796 e-13 0.000 000 0012 e-13 m 

1432reduced muon Compton wavelength 1.867 594 306 e-15 0.000 000 042 e-15 m 

1433reduced neutron Compton wavelength 2.100 194 1552 e-16 0.000 000 0012 e-16 m 

1434reduced Planck constant 1.054 571 817... e-34 (exact) J s 

1435reduced Planck constant in eV s 6.582 119 569... e-16 (exact) eV s 

1436reduced Planck constant times c in MeV fm 197.326 980 4... (exact) MeV fm 

1437reduced proton Compton wavelength 2.103 089 103 36 e-16 0.000 000 000 64 e-16 m 

1438reduced tau Compton wavelength 1.110 538 e-16 0.000 075 e-16 m 

1439Rydberg constant 10 973 731.568 160 0.000 021 m^-1 

1440Rydberg constant times c in Hz 3.289 841 960 2508 e15 0.000 000 000 0064 e15 Hz 

1441Rydberg constant times hc in eV 13.605 693 122 994 0.000 000 000 026 eV 

1442Rydberg constant times hc in J 2.179 872 361 1035 e-18 0.000 000 000 0042 e-18 J 

1443Sackur-Tetrode constant (1 K, 100 kPa) -1.151 707 537 06 0.000 000 000 45 

1444Sackur-Tetrode constant (1 K, 101.325 kPa) -1.164 870 523 58 0.000 000 000 45 

1445second radiation constant 1.438 776 877... e-2 (exact) m K 

1446shielded helion gyromag. ratio 2.037 894 569 e8 0.000 000 024 e8 s^-1 T^-1 

1447shielded helion gyromag. ratio in MHz/T 32.434 099 42 0.000 000 38 MHz T^-1 

1448shielded helion mag. mom. -1.074 553 090 e-26 0.000 000 013 e-26 J T^-1 

1449shielded helion mag. mom. to Bohr magneton ratio -1.158 671 471 e-3 0.000 000 014 e-3 

1450shielded helion mag. mom. to nuclear magneton ratio -2.127 497 719 0.000 000 025 

1451shielded helion to proton mag. mom. ratio -0.761 766 5618 0.000 000 0089 

1452shielded helion to shielded proton mag. mom. ratio -0.761 786 1313 0.000 000 0033 

1453shielded proton gyromag. ratio 2.675 153 151 e8 0.000 000 029 e8 s^-1 T^-1 

1454shielded proton gyromag. ratio in MHz/T 42.576 384 74 0.000 000 46 MHz T^-1 

1455shielded proton mag. mom. 1.410 570 560 e-26 0.000 000 015 e-26 J T^-1 

1456shielded proton mag. mom. to Bohr magneton ratio 1.520 993 128 e-3 0.000 000 017 e-3 

1457shielded proton mag. mom. to nuclear magneton ratio 2.792 775 599 0.000 000 030 

1458shielding difference of d and p in HD 2.0200 e-8 0.0020 e-8 

1459shielding difference of t and p in HT 2.4140 e-8 0.0020 e-8 

1460speed of light in vacuum 299 792 458 (exact) m s^-1 

1461standard acceleration of gravity 9.806 65 (exact) m s^-2 

1462standard atmosphere 101 325 (exact) Pa 

1463standard-state pressure 100 000 (exact) Pa 

1464Stefan-Boltzmann constant 5.670 374 419... e-8 (exact) W m^-2 K^-4 

1465tau Compton wavelength 6.977 71 e-16 0.000 47 e-16 m 

1466tau-electron mass ratio 3477.23 0.23 

1467tau energy equivalent 1776.86 0.12 MeV 

1468tau mass 3.167 54 e-27 0.000 21 e-27 kg 

1469tau mass energy equivalent 2.846 84 e-10 0.000 19 e-10 J 

1470tau mass in u 1.907 54 0.000 13 u 

1471tau molar mass 1.907 54 e-3 0.000 13 e-3 kg mol^-1 

1472tau-muon mass ratio 16.8170 0.0011 

1473tau-neutron mass ratio 1.891 15 0.000 13 

1474tau-proton mass ratio 1.893 76 0.000 13 

1475Thomson cross section 6.652 458 7321 e-29 0.000 000 0060 e-29 m^2 

1476triton-electron mass ratio 5496.921 535 73 0.000 000 27 

1477triton g factor 5.957 924 931 0.000 000 012 

1478triton mag. mom. 1.504 609 5202 e-26 0.000 000 0030 e-26 J T^-1 

1479triton mag. mom. to Bohr magneton ratio 1.622 393 6651 e-3 0.000 000 0032 e-3 

1480triton mag. mom. to nuclear magneton ratio 2.978 962 4656 0.000 000 0059 

1481triton mass 5.007 356 7446 e-27 0.000 000 0015 e-27 kg 

1482triton mass energy equivalent 4.500 387 8060 e-10 0.000 000 0014 e-10 J 

1483triton mass energy equivalent in MeV 2808.921 132 98 0.000 000 85 MeV 

1484triton mass in u 3.015 500 716 21 0.000 000 000 12 u 

1485triton molar mass 3.015 500 715 17 e-3 0.000 000 000 92 e-3 kg mol^-1 

1486triton-proton mass ratio 2.993 717 034 14 0.000 000 000 15 

1487triton relative atomic mass 3.015 500 716 21 0.000 000 000 12 

1488triton to proton mag. mom. ratio 1.066 639 9191 0.000 000 0021 

1489unified atomic mass unit 1.660 539 066 60 e-27 0.000 000 000 50 e-27 kg 

1490vacuum electric permittivity 8.854 187 8128 e-12 0.000 000 0013 e-12 F m^-1 

1491vacuum mag. permeability 1.256 637 062 12 e-6 0.000 000 000 19 e-6 N A^-2 

1492von Klitzing constant 25 812.807 45... (exact) ohm 

1493weak mixing angle 0.222 90 0.000 30 

1494Wien frequency displacement law constant 5.878 925 757... e10 (exact) Hz K^-1 

1495Wien wavelength displacement law constant 2.897 771 955... e-3 (exact) m K 

1496W to Z mass ratio 0.881 53 0.000 17 """ 

1497 

1498# ----------------------------------------------------------------------------- 

1499 

1500physical_constants: dict[str, tuple[float, str, float]] = {} 

1501 

1502 

1503def parse_constants_2002to2014(d: str) -> dict[str, tuple[float, str, float]]: 

1504 constants = {} 

1505 for line in d.split('\n'): 

1506 name = line[:55].rstrip() 

1507 val = float(line[55:77].replace(' ', '').replace('...', '')) 

1508 uncert = float(line[77:99].replace(' ', '').replace('(exact)', '0')) 

1509 units = line[99:].rstrip() 

1510 constants[name] = (val, units, uncert) 

1511 return constants 

1512 

1513 

1514def parse_constants_2018toXXXX(d: str) -> dict[str, tuple[float, str, float]]: 

1515 constants = {} 

1516 for line in d.split('\n'): 

1517 name = line[:60].rstrip() 

1518 val = float(line[60:85].replace(' ', '').replace('...', '')) 

1519 uncert = float(line[85:110].replace(' ', '').replace('(exact)', '0')) 

1520 units = line[110:].rstrip() 

1521 constants[name] = (val, units, uncert) 

1522 return constants 

1523 

1524 

1525_physical_constants_2002 = parse_constants_2002to2014(txt2002) 

1526_physical_constants_2006 = parse_constants_2002to2014(txt2006) 

1527_physical_constants_2010 = parse_constants_2002to2014(txt2010) 

1528_physical_constants_2014 = parse_constants_2002to2014(txt2014) 

1529_physical_constants_2018 = parse_constants_2018toXXXX(txt2018) 

1530 

1531 

1532physical_constants.update(_physical_constants_2002) 

1533physical_constants.update(_physical_constants_2006) 

1534physical_constants.update(_physical_constants_2010) 

1535physical_constants.update(_physical_constants_2014) 

1536physical_constants.update(_physical_constants_2018) 

1537_current_constants = _physical_constants_2018 

1538_current_codata = "CODATA 2018" 

1539 

1540# check obsolete values 

1541_obsolete_constants = {} 

1542for k in physical_constants: 

1543 if k not in _current_constants: 

1544 _obsolete_constants[k] = True 

1545 

1546# generate some additional aliases 

1547_aliases = {} 

1548for k in _physical_constants_2002: 

1549 if 'magn.' in k: 

1550 _aliases[k] = k.replace('magn.', 'mag.') 

1551for k in _physical_constants_2006: 

1552 if 'momentum' in k: 

1553 _aliases[k] = k.replace('momentum', 'mom.um') 

1554for k in _physical_constants_2018: 

1555 if 'momentum' in k: 

1556 _aliases[k] = k.replace('momentum', 'mom.um') 

1557 

1558# CODATA 2018: renamed and no longer exact; use as aliases 

1559_aliases['mag. constant'] = 'vacuum mag. permeability' 

1560_aliases['electric constant'] = 'vacuum electric permittivity' 

1561 

1562 

1563class ConstantWarning(DeprecationWarning): 

1564 """Accessing a constant no longer in current CODATA data set""" 

1565 pass 

1566 

1567 

1568def _check_obsolete(key: str) -> None: 

1569 if key in _obsolete_constants and key not in _aliases: 

1570 warnings.warn("Constant '%s' is not in current %s data set" % ( 

1571 key, _current_codata), ConstantWarning) 

1572 

1573 

1574def value(key: str) -> float: 

1575 """ 

1576 Value in physical_constants indexed by key 

1577 

1578 Parameters 

1579 ---------- 

1580 key : Python string 

1581 Key in dictionary `physical_constants` 

1582 

1583 Returns 

1584 ------- 

1585 value : float 

1586 Value in `physical_constants` corresponding to `key` 

1587 

1588 Examples 

1589 -------- 

1590 >>> from scipy import constants 

1591 >>> constants.value('elementary charge') 

1592 1.602176634e-19 

1593 

1594 """ 

1595 _check_obsolete(key) 

1596 return physical_constants[key][0] 

1597 

1598 

1599def unit(key: str) -> str: 

1600 """ 

1601 Unit in physical_constants indexed by key 

1602 

1603 Parameters 

1604 ---------- 

1605 key : Python string 

1606 Key in dictionary `physical_constants` 

1607 

1608 Returns 

1609 ------- 

1610 unit : Python string 

1611 Unit in `physical_constants` corresponding to `key` 

1612 

1613 Examples 

1614 -------- 

1615 >>> from scipy import constants 

1616 >>> constants.unit('proton mass') 

1617 'kg' 

1618 

1619 """ 

1620 _check_obsolete(key) 

1621 return physical_constants[key][1] 

1622 

1623 

1624def precision(key: str) -> float: 

1625 """ 

1626 Relative precision in physical_constants indexed by key 

1627 

1628 Parameters 

1629 ---------- 

1630 key : Python string 

1631 Key in dictionary `physical_constants` 

1632 

1633 Returns 

1634 ------- 

1635 prec : float 

1636 Relative precision in `physical_constants` corresponding to `key` 

1637 

1638 Examples 

1639 -------- 

1640 >>> from scipy import constants 

1641 >>> constants.precision('proton mass') 

1642 5.1e-37 

1643 

1644 """ 

1645 _check_obsolete(key) 

1646 return physical_constants[key][2] / physical_constants[key][0] 

1647 

1648 

1649def find(sub: str | None = None, disp: bool = False) -> Any: 

1650 """ 

1651 Return list of physical_constant keys containing a given string. 

1652 

1653 Parameters 

1654 ---------- 

1655 sub : str 

1656 Sub-string to search keys for. By default, return all keys. 

1657 disp : bool 

1658 If True, print the keys that are found and return None. 

1659 Otherwise, return the list of keys without printing anything. 

1660 

1661 Returns 

1662 ------- 

1663 keys : list or None 

1664 If `disp` is False, the list of keys is returned. 

1665 Otherwise, None is returned. 

1666 

1667 Examples 

1668 -------- 

1669 >>> from scipy.constants import find, physical_constants 

1670 

1671 Which keys in the ``physical_constants`` dictionary contain 'boltzmann'? 

1672 

1673 >>> find('boltzmann') 

1674 ['Boltzmann constant', 

1675 'Boltzmann constant in Hz/K', 

1676 'Boltzmann constant in eV/K', 

1677 'Boltzmann constant in inverse meter per kelvin', 

1678 'Stefan-Boltzmann constant'] 

1679 

1680 Get the constant called 'Boltzmann constant in Hz/K': 

1681 

1682 >>> physical_constants['Boltzmann constant in Hz/K'] 

1683 (20836619120.0, 'Hz K^-1', 0.0) 

1684 

1685 Find constants with 'radius' in the key: 

1686 

1687 >>> find('radius') 

1688 ['Bohr radius', 

1689 'classical electron radius', 

1690 'deuteron rms charge radius', 

1691 'proton rms charge radius'] 

1692 >>> physical_constants['classical electron radius'] 

1693 (2.8179403262e-15, 'm', 1.3e-24) 

1694 

1695 """ 

1696 if sub is None: 

1697 result = list(_current_constants.keys()) 

1698 else: 

1699 result = [key for key in _current_constants 

1700 if sub.lower() in key.lower()] 

1701 

1702 result.sort() 

1703 if disp: 

1704 for key in result: 

1705 print(key) 

1706 return 

1707 else: 

1708 return result 

1709 

1710 

1711c = value('speed of light in vacuum') 

1712mu0 = value('vacuum mag. permeability') 

1713epsilon0 = value('vacuum electric permittivity') 

1714 

1715# Table is lacking some digits for exact values: calculate from definition 

1716exact_values = { 

1717 'joule-kilogram relationship': (1 / (c * c), 'kg', 0.0), 

1718 'kilogram-joule relationship': (c * c, 'J', 0.0), 

1719 'hertz-inverse meter relationship': (1 / c, 'm^-1', 0.0), 

1720 

1721 # The following derived quantities are no longer exact (CODATA2018): 

1722 # specify separately 

1723 'characteristic impedance of vacuum': ( 

1724 sqrt(mu0 / epsilon0), 'ohm', 

1725 sqrt(mu0 / epsilon0) * 0.5 * ( 

1726 physical_constants['vacuum mag. permeability'][2] / mu0 

1727 + physical_constants['vacuum electric permittivity'][2] / epsilon0)) 

1728} 

1729 

1730# sanity check 

1731for key in exact_values: 

1732 val = physical_constants[key][0] 

1733 if abs(exact_values[key][0] - val) / val > 1e-9: 

1734 raise ValueError("Constants.codata: exact values too far off.") 

1735 if exact_values[key][2] == 0 and physical_constants[key][2] != 0: 

1736 raise ValueError("Constants.codata: value not exact") 

1737 

1738physical_constants.update(exact_values) 

1739 

1740_tested_keys = ['natural unit of velocity', 

1741 'natural unit of action', 

1742 'natural unit of action in eV s', 

1743 'natural unit of mass', 

1744 'natural unit of energy', 

1745 'natural unit of energy in MeV', 

1746 'natural unit of mom.um', 

1747 'natural unit of mom.um in MeV/c', 

1748 'natural unit of length', 

1749 'natural unit of time'] 

1750 

1751# finally, insert aliases for values 

1752for k, v in list(_aliases.items()): 

1753 if v in _current_constants or v in _tested_keys: 

1754 physical_constants[k] = physical_constants[v] 

1755 else: 

1756 del _aliases[k]