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Some SI Tables and Geometric Unit Tables

  • SI Defined Units .... SI Derived Units .... SI Accepted Units
  • Earth Constants .... Universal Constants .... Planck Constants
  • Electromagnetic Constants .... Bohr Magneton .... Nuclear Magneton
  • (Inverse) Fine Structure Constant .... Rydberg Constant .... Physical Constants
  • Chemical Constants .... Boltzmann Constant .... Physico-chemical Constants
  • Electron Constants .... Proton Constants .... Neutron Constants
  • Energy Equivalence I .... Energy Equivalence II .... Energy Equivalence III
  • Energy Equivalence IV .... Energy Conversion Factors I .... Energy Conversion Factors II
  • Energy Conversion Factors III .... Energy Conversion Factors IV .... Atomic Units

SI Defined Units
Quantity Name Symbol
length (distance) meter m
mass kilogram kg
time second s
temperature Kelvin K
current Ampere A
quantity mole mol
luminosity candela cd

SI Derived Units
Quantity Name Symbol Units
frequency Hertz Hz m-1
velocity - - m s-1
acceleration - - m s-2
force Newton N kg m s-2
pressure (stress) Pascal Pa N m-2 = kg m-1 s-2
energy (work, heat) Joule J N m = kg m2 s-2
momentum (impulse) - - N s = kg m s-1
power Watt W J s-1 = kg m2 s-3
electric charge Coulomb C A s
electric potential (emf) Volt V J C-1 = W A-1 = kg m2 s-3 A-1
resistance Ohm W V A-1 = kg m2 s-3 A-2
conductance Siemens S A V-1 = W-1 = kg-1 m-2 s3 A2
magnetic flux Weber Wb V s = kg m2 s-2 A-1
inductance Henry H Wb A-1 = kg m2 s-2 A-2
capacitance Farad F C V-1 = kg-1 m-2 s4 A2
electric field strength - - V m-1 = N C-1
electric displacement - - C m-2
magnetic field strength - - A m-1
magnetic flux density Tesla T Wb m-2 = N A-1 m-1 = kg s-2 A-1
plane angle radian rad 2p (circle)
solid angle steradian sr 4p (sphere)
luminous flux lumen lm cd sr
illuminance lux lx lm m-2

SI Accepted Units
Quantity Name Symbol Units
length Ångstrom Å, å 1 a = 10-10 m
volume Liter L, l 1 L = 10-3 m3
mass metric ton t 1 t = 1000 kg
pressure bar bar 1 bar = 105 Pa = 105 N m-2
time minute min 1 min = 60 sec
time hour h 1 h = 60 min = 3600 sec
time day d 1 d = 24 h = 86 400 s
plane angle degree o 1o = (p/180) rad
plane angle minute ' 1' = (1/60)o = (p/10 800) rad
plane angle second " 1" = (1/60)' = (p/648 000) rad

Geometric Constants

Earth Constants
Constant Symbol Value
Standard Atmosphere atm 101 325 Pa (exact)
Standard Acceleration of Gravity ga 9.806 65 m s-2 (exact)
Astronomical Unit (Earth-Sun) au 1.495 978 706 91 (30) ´ 1011 m

Universal Constants
Constant Symbol Value
Speed of Light in Vacuum c 299 792 458 m s-1 (exact)
Permeability of Vacuum = 4p ´ 10-7 N/A2 mo 12.566 370 614 ... N A-2
Permittivity of Vacuum = 1/moc2 eo 8.854 187 817 ... ´ 10-12 F m-1
Newtonian Constant of Gravitation G 6.672 59 (85) ´ 10-11 m3 kg-1 s-2
electron Volt (in Joules) eV 1.602 177 33 (49) ´ 10-19 J
(unified) atomic mass unit = m(12C)/12 u 1.660 540 2 (10) ´ 10-27 kg

Planck Constants
Constant Symbol Value
Planck Constant h 6.626 075 5 10 (40) ´ 10-34 J s
Planck Constant = h/{e} (in electron Volts) h/{e} 4.135 669 2 (12) ´ 10-15 eV s
Planck Constant = h/2p h 1.054 572 66 (63) ´ 10-34 J s
Planck Constant = h/2p{e} (in electron Volts) h/{e} 6.582 122 0 (20) ´ 10-16 eV s
Planck Mass = (hc/G)1/2 mP 2.176 71 (14) ´ 10-8 kg
Planck Length = h/mPc = (hG/c3)1/2 lP 1.616 05 (10) ´ 10-35 m
Planck Time = lP/c = (hG/c5)1/2 tP 5.390 56 (34) ´ 10-44 s

Electromagnetic Constants
Constant Symbol Value
Electronic Charge Quantum e 1.602 177 33 (49) ´ 10-19 C
Quantized Electronic Charge = e/h e/h 2.417 988 36 (72) ´ 1014 A J-1
Magnetic Flux Quantum = h/2e Fo 2.037 834 61 (61) ´ 10-15 Wb
Josephson Frequency/Voltage Quotient = 2e/h 2e/h 4.835 976 7 (14) ´ 1015 Hz V-1
Quantized Hall Conductance = e2/h e2/h 3.874 046 14 (17) ´ 10-5 S
Quantized Hall Resistance = h/e2 = moc/2a RH 25 812.805 6 (12) W

Bohr Magneton
Constant Symbol Value
Bohr Magneton = eh/2me mB 9.274 015 4 (31) ´ 10-24 J T-1
Bohr Magneton = mB/{e} (in electron Volts) mB/e 5.788 382 63 (52) ´ 10-5 eV T-1
Bohr Magneton = mB/h (in Hertz) mB/h 1.399 624 18 (42) ´ 1010 Hz T-1
Bohr Magneton = mB/hc (in wavenumbers) mB/hc 46.686 437 (14) m-1 T-1
Bohr Magneton = mB/k (in Kelvins) mB/k 0.671 709 9 (57) K T-1

Nuclear Magneton
Constant Symbol Value
Nuclear Magneton = eh/2mp mN 5.050 786 6 (17) ´ 10-27 J T-1
Nuclear Magneton = mN/{e} (in electron Volts) mN/e 3.152 451 66 (28) ´ 10-8 eV T-1
Nuclear Magneton = mN/h (in Hertz) mN/h 7.622 591 4 (23) MHz T-1
Nuclear Magneton = mN/hc (in wavenumbers) mN/hc 2.542 622 81 (77) ´ 10-2 m-2 T-1
Nuclear Magneton = mN/k (in Kelvins) mN/k 3.658 246 (31) ´ 10-4 K T-1

(Inverse) Fine Structure Constant
Constant Symbol Value
Fine Structure Constant = moce2/2h a 7.297 353 08 (33) ´ 10-3
Inverse Fine Structure Constant = 2h/moce2 1/a = a-1 137.035 989 5 (61)

Rydberg Constant
Constant Symbol Value
Rydberg Constant = meca2/2h R¥ 10 973 731.534 (13) m-1
Rydberg Constant = R¥c (in Hertz) R¥c 3.289 841 949 9 (40) ´ 1015 Hz
Rydberg Constant = R¥hc (in Joules) R¥hc 2.179 874 1 (13) ´ 10-18 J
Rydberg Constant = R¥hc/{e} (in electron Volts) R¥hc/{e} 13.605 698 1 (40) eV

Physical Constants
Constant Symbol Value
Bohr Radius = a/4pR¥ ao 0.529 177 249 (24) ´ 10-10 m
Hartree Energy = e2/4peoao = 2R¥hc Eh 4.359 748 2 (26) ´ 10-18 J
Hartree Energy = Eh/{e} (in electron Volts) Eh/{e} 27.211 396 1 (81) eV
Quantum of Circulation = h/2me h/2me 3.636 948 07 (33) ´ 10-4 m2 s-1
Quanta of Circulation = h/me h/me 7.273 896 14 (65) ´ 10-4 m2 s-1

Chemical Constants
Constant Symbol Value
Avogadro's Number NA, L 6.022 136 7 (36) ´ 1023 mol-1
Atomic Mass Constant = m(12C)/12 = 1 Dalton (Da) mu 1.660 540 2 (10) ´ 10-27 kg
Atomic Mass Constant = muc2/{e} (in electron Volts) mu 931.494 32 (28) MeV
Faraday Constant F 96 485.309 (29) C mol-1
Molar Planck Constant = NAh NAh 3.990 313 23 (36) ´ 10-10 J s mol-1
Molar Planck Constant = NAhc NAhc 0.119 626 58 (11) J m mol-1
Molar Gas Constant R 8.314 510 (70) J mol-1 K-1
Molar Volume = RT/p (ideal gas at 1 atm/273.15 K) Vm 22 414.10 (19) cm3 mol-1
Loschmidt Constant = NA/Vm no 2.686 763 (23) ´ 1025 m-3

Boltzmann Constant
Constant Symbol Value
Boltzmann Constant = R/NA k, kB 1.380 658 (12) ´ 10-23 J K-1
Boltzmann Constant = k/{e} (in electron Volts) k/{e} 8.617 385 (73) ´ 10-5 eV K-1
Boltzmann Constant = k/h (in Hertz) k/h 2.083 674 (18) ´ 1010 Hz K-1
Boltzmann Constant = k/hc (in wavenumbers) k/hc 69.503 87 (59) m-1 K-1

Physico-chemical Constants
Constant Symbol Value
Stefan-Boltzmann Constant = (p2/60)k4/h3c2 s 5.670 51 (19) ´ 10-8 m-2 K-4
First Radiation Constant = 2phc2 c1 3.741 774 9 (22) ´ 10-16 W m2
Second Radiation Constant = hc/k c2 0.014 387 69 (12) m K

Electron Constants
Constant Symbol Value
Electron Mass me 9.109 389 7 (54) ´ 10-31 kg
Electron Mass (in atomic mass units) me 5.485 799 03 (13) ´ 10-4 u (amu)
Electron Mass = mec2/{e} (in electron Volts) me 0.510 999 06 (15) MeV
Electron - Proton Mass Ratio = me/mp me/mp 5.446 170 13 (11) ´ 10-4
Electron Specific Charge = -e/me -e/me 1.758 819 62 (53) ´ 1011 C kg-1
Electron Molar Mass M(e) 5.485 799 03 (13) ´ 10-7 kg mol-1
Electron Compton Wavelength = h/mec lC(e) 2.426 310 58 (22) ´ 10-12 m
Electron Compton Wavelength = lC(e)/2p = aao = a2/4pR¥ lC(e) 3.861 593 23 (35) ´ 10-13 m
Electron Classical Radius = a2/ao re 2.817 940 92 (38) ´ 10-15 m
Thomson Cross Section = (8p/3)re2 se 0.665 246 16 (18) ´ 10-28 m2
Electron Magnetic Moment me 928.477 01 (31) ´ 10-26 J T-1
Electron Magnetic Moment = me/mB (in Bohr magnetons) me/mB 1.001 159 652 193 (10)
Electron Magnetic Moment = me/mN (in nuclear magnetons) me/mN 1838.282 000 (37)
Electron Magnetic Moment Anomaly = me/mB - 1 ae 1.159 652 193 (10) ´ 10-3
Electron g-factor = 2(1 + ae) ge 2.002 319 304 386 (20)
Electron - Proton Magnetic Moment Ratio = me/mp me/mp 658.210 688 1 (66)

Proton Constants
Constant Symbol Value
Proton Mass mp 1.672 623 1 (10) ´ 10-27 kg
Proton Mass (in atomic mass units) mp 1.007 276 470 (12) u (amu)
Proton Mass = mpc2/{e} (in electron Volts) mp 938.272 31 (28) MeV
Proton - Electron Mass Ratio = mp/me mp/me 1836.152 701 (37)
Proton Specific Charge = e/mp e/mp 9.578 830 9 (29) ´ 107 C kg-1
Proton Molar Mass M(p) 1.007 276 470 (12) ´ 10-3 kg mol-1
Proton Compton Wavelength = h/mpc lC(p) 1.321 410 02 (12) ´ 10-15 m
Proton Compton Wavelength = lC(p)/2p lC(p) 2.103 089 37 (19) ´ 10-16 m
Proton Magnetic Moment mp 1.410 607 61 (47) ´ 10-26 J T-1
Proton Magnetic Moment = mp/mB (in Bohr magnetons) mp/mB 1.521 032 202 (15) ´ 10-3
Proton Magnetic Moment = mp/mN (in nuclear magnetons) mp/mN 2.792 847 386 (63)
Proton Gyromagnetic Ratio gp 26 752.212 8 (81) ´ 104 s-1 T-1
Proton Gyromagnetic Ratio = gp/2p gp/2p 42.577 469 (13) MHz T-1

Neutron Constants
Constant Symbol Value
Neutron Mass mn 1.674 928 6 (10) ´ 10-27 kg
Neutron Mass (in atomic mass units) mn 1.008 664 904 (14) u (amu)
Neutron Mass = mnc2/{e} (in electron Volts) mn 939.565 63 (28) MeV
Neutron - Electron Mass Ratio = mn/me mn/me 1836.683 662 (40)
Neutron - Proton Mass Ratio = mn/mp mn/mp 1.001 378 404 (9)
Neutron Molar Mass M(n) 1.008 664 904 (14) ´ 10-3 kg mol-1
Neutron Compton Wavelength = h/mnc lC(n) 1.319 591 10 (12) ´ 10-15 m
Neutron Compton Wavelength = lC(n)/2p lC(n) 2.100 194 45 (19) ´ 10-16 m
Neutron Magnetic Moment mn 0.966 237 07 (40) ´ 10-26 J T-1
Neutron Magnetic Moment = mn/mB (in Bohr magnetons) mn/mB 1.041 875 63 (25) ´ 10-3
Neutron Magnetic Moment = mn/mN (in nuclear magnetons) mn/mN 1.913 042 75 (45)
Neutron - Electron Magnetic Moment Ratio = mn/me mn/mB 1.040 668 82 (25) ´ 10-3
Neutron - Proton Magnetic Moment Ratio = mn/mp mn/mp 0.684 979 24 (16)

Energy Equivalence I
Units J (Joule) kg (kilogram)
1 J (Joule) = 1 J (Joule) 1.112 650 06 ´ 10-17 kg
1 kg (kilogram) = 8.987 551 787 ´ 1016 J 1 kg (kilogram)
1 m-1 (wavenumber) = 1.986 447 5 (12) ´ 10-25 J 2.210 220 9 (13) ´ 10-42 kg
1 Hz (Hertz) = 6.626 075 5 (40) ´ 10-34 J 7.372 503 2 (44) ´ 10-51 kg
1 K (Kelvin) = 1.380 658 (12) ´ 10-23 J 1.536 189 (13) ´ 10-40 kg
1 eV (electron Volt) = 1.602 177 33 (49) ´ 10-19 J 1.782 662 70 (54) ´ 10-36 kg
1 u (atomic mass unit) = 1.492 419 09 (88) ´ 10-10 J 1.660 540 2 (10) ´ 10-27 kg
1 (atomic energy unit) Hartree = 4.359 748 2 (26) ´ 10-18 J 4.850 874 1 (29) ´ 10-35 kg

Energy Equivalence II
Units m-1 (wavenumber) Hz (Hertz)
1 J (Joule) = 5.034 112 5 (30) ´ 1024 m-1 1.509 188 97 (90) ´ 1033 Hz
1 kg (kilogram) = 4.524 434 7 (27) ´ 1041 m-1 1.356 391 40 (81) ´ 1050 Hz
1 m-1 (wavenumber) = 1 m-1 (wavenumber) 299 792 458 Hz
1 Hz (Hertz) = 3.335 640 952 ´ 10-9 m-1 1 Hz (Hertz)
1 K (Kelvin) = 69.503 87 (59) m-1 2.083 674 (18) ´ 1010 Hz
1 eV (electron Volt) = 806 554.10 (24) m-1 2.417 988 36 (72) ´ 1014 Hz
1 u (atomic mass unit) = 7.513 005 63 (67) ´ 1014 m-1 2.252 342 42 (20) ´ 1023 Hz
1 Hartree (atomic energy unit) = 21 947 463.067 (26) m-1 6.579 683 899 9 (78) ´ 1015 Hz

Energy Equivalence III
Units K (Kelvin) eV (electron Volt)
1 J (Joule) = 7.242 924 (61) ´ 1022 K 6.241 506 4 (19) ´ 1018 eV
1 kg (kilogram) = 6.509 616 (55) ´ 1039 K 5.609 586 2 (17) ´ 1035 eV
1 m-1 (wavenumber) = 0.014 387 69 (12) K 1.239 842 44 (37) ´ 10-6 eV
1 Hz (Hertz) = 4.799 216 (41) ´ 10-11 K 4.135 669 2 (12) ´ 10-15 eV
1 K (Kelvin) = 1 K (Kelvin) 8.617 385 (73) ´ 10-5 eV
1 eV (electron Volt) = 11 604.45 K 1 eV (electron Volt)
1 u (atomic mass unit) = 1.080 947 8 (91) ´ 1013 K 931.494 32 (28) ´ 106 eV
1 Hartree (atomic energy unit) = 3.157 733 (27) ´ 105 K 27.211 396 1 (81) eV

Energy Equivalence IV
Units u (atomic mass unit) Hartree (atomic energy unit)
1 J (Joule) = 6.700 530 8 (40) ´ 109 u 2.293 710 4 (14) ´ 1017 Hartree
1 kg (kilogram) = 6.022 136 7 (36) ´ 1026 u 2.061 484 1 (12) ´ 1034 Hartree
1 m-1 (wavenumber) = 1.331 025 22 (12) ´ 10-15 u 4.556 335 267 2 (54) ´ 10-8 Hartree
1 Hz (Hertz) = 4.439 822 24 (40) ´ 10-24 u 1.519 829 850 8 (18) ´ 10-16 Hartree
1 K (Kelvin) = 9.251 140 (78) ´ 10-14 u 3.166 829 (27) ´ 10-6 Hartree
1 eV (electron Volt) = 1.073 543 85 (33) ´ 10-9 u 0.036 749 309 (11) Hartree
1 u (atomic mass unit) = 1 u (atomic mass unit) 3.423 177 25 (31) ´ 107 Hartree
1 Hartree (atomic energy unit) = 2.921 262 69 (26) ´ 10-8 u 1 Hartree (atomic energy unit)

Energy Conversion Factors I
Units J (Joule) kg (kilogram)
1 J (Joule) ´ factor =
energy equivalent = 		1 J (Joule) ´ 1 =
1 J (Joule) 		1 J (Joule) ´ 1/{c2} =
1.112 650 06 ´ 10-17 kg
1 kg (kilogram) ´ factor =
energy equivalent = 		1 kg (kilogram) ´ {c2} =
8.987 551 787 ´ 1016 J 		1 kg (kilogram) ´ 1 =
1 kg (kilogram)
1 m-1 (wavenumber) ´ factor =
energy equivalent = 		1 m-1 (wavenumber) ´ {hc} =
1.986 447 5 (12) ´ 10-25 J 		1 m-1 (wavenumber) ´ {h/c} =
2.210 220 9 (13) ´ 10-42 kg
1 Hz (Hertz) ´ factor =
energy equivalent = 		1 Hz (Hertz) ´ {h} =
6.626 075 5 (40) ´ 10-34 J 		1 Hz (Hertz) ´ {h/c2} =
7.372 503 2 (44) ´ 10-51 kg
1 K (Kelvin) ´ factor =
energy equivalent = 		1 K (Kelvin) ´ {k} =
1.380 658 (12) ´ 10-23 J 		1 K (Kelvin) ´ {k/c2} =
1.536 189 (13) ´ 10-40 kg
1 eV (electron Volt) ´ factor =
energy equivalent = 		1 eV (electron Volt) ´ {e} =
1.602 177 33 (49) ´ 10-19 J 		1 eV (electron Volt) ´ {e/c2} =
1.782 662 70 (54) ´ 10-36 kg
1 u (atomic mass unit) ´ factor =
energy equivalent = 		1 u (atomic mass unit) ´ {mu/c2} =
1.492 419 09 (88) ´ 10-10 J 		1 u (atomic mass unit) ´ {mu} =
1.660 540 2 (10) ´ 10-27 kg
1 Hartree (atomic energy unit) ´ factor =
energy equivalent = 		1 Hartree ´ {2R¥hc} =
4.359 748 2 (26) ´ 10-18 J 		1 Hartree ´ {2R¥h/c} =
4.850 874 1 (29) ´ 10-35 kg

Energy Conversion Factors II
Units m-1 (wavenumber) Hz (Hertz)
1 J (Joule) ´ factor =
energy equivalent = 		1 J (Joule) ´ 1/{hc} =
5.034 112 5 (30) ´ 1024 m-1 		1 J (Joule) ´ 1/{h} =
1.509 188 97 (90) ´ 1033 Hz
1 kg (kilogram) ´ factor =
energy equivalent = 		1 kg (kilogram) ´ {c/h} =
4.524 434 7 (27) ´ 1041 m-1 		1 kg (kilogram) ´ {c2/h} =
1.356 391 40 (81) ´ 1050 Hz
1 m-1 (wavenumber) ´ factor =
energy equivalent = 		1 m-1 (wavenumber) ´ 1 =
1 m-1 (wavenumber) 		1 m-1 (wavenumber) ´ {c} =
299 792 458 Hz
1 Hz (Hertz) ´ factor =
energy equivalent = 		1 Hz (Hertz) ´ 1/{c} =
3.335 640 952 ´ 10-9 m-1 		1 Hz (Hertz) ´ 1 =
1 Hz (Hertz)
1 K (Kelvin) ´ factor =
energy equivalent = 		1 K (Kelvin) ´ {k/hc} =
69.503 87 (59) m-1 		1 K (Kelvin) ´ {k/h} =
2.083 674 (18) ´ 1010 Hz
1 eV (electron Volt) ´ factor =
energy equivalent = 		1 eV (electron Volt) ´ {e/hc} =
806 554.10 (24) m-1 		1 eV (electron Volt) ´ {e/h} =
2.417 988 36 (72) ´ 1014 Hz
1 u (atomic mass unit) ´ factor =
energy equivalent = 		1 u (atomic mass unit) ´ {muc/h} =
7.513 005 63 (67) ´ 1014 m-1 		1 u (atomic mass unit) ´ {muc2/h} =
2.252 342 42 (20) ´ 1023 Hz
1 Hartree (atomic energy unit) ´ factor =
energy equivalent = 		1 Hartree ´ {2R¥} =
21 947 463.067 (26) m-1 		1 Hartree ´ {2R¥c} =
6.579 683 899 9 (78) ´ 1015 Hz

Energy Conversion Factors III
Units K (Kelvin) eV (electron Volt)
1 J (Joule) ´ factor =
energy equivalent = 		1 J (Joule) ´ {1/k} =
7.242 924 (61) ´ 1022 K 		1 J (Joule) ´ {1/e} =
6.241 506 4 (19) ´ 1018 eV
1 kg (kilogram) ´ factor =
energy equivalent = 		1 kg (kilogram) ´ {c2/k} =
6.509 616 (55) ´ 1039 K 		1 kg (kilogram) ´ {c2/e} =
5.609 586 2 (17) ´ 1035 eV
1 m-1 (wavenumber) ´ factor =
energy equivalent = 		1 m-1 (wavenumber) ´ {hc/k} =
0.014 387 69 (12) K 		1 m-1 (wavenumber) ´ {hc/e} =
1.239 842 44 (37) ´ 10-6 eV
1 Hz (Hertz) ´ factor =
energy equivalent = 		1 Hz (Hertz) ´ {h/k} =
4.799 216 (41) ´ 10-11 K 		1 Hz (Hertz) ´ {h/e} =
4.135 669 2 (12) ´ 10-15 eV
1 K (Kelvin) ´ factor =
energy equivalent = 		1 K (Kelvin) ´ 1 =
1 K (Kelvin) 		1 K (Kelvin) ´ {k/e} =
8.617 385 (73) ´ 10-5 eV
1 eV (electron Volt) ´ factor =
energy equivalent = 		1 eV (electron Volt) ´ {e/k} =
11 604.45 K 		1 eV (electron Volt) ´ 1 =
1 eV (electron Volt)
1 u (atomic mass unit) ´ factor =
energy equivalent = 		1 u (atomic mass unit) ´ {muc2/k} =
1.080 947 8 (91) ´ 1013 K 		1 u (atomic mass unit) ´ {muc2/e} =
931.494 32 (28) ´ 106 eV
1 Hartree (atomic energy unit) ´ factor =
energy equivalent = 		1 Hartree ´ {2R¥hc/k} =
3.157 733 (27) ´ 105 K 		1 Hartree ´ {2R¥hc/e} =
27.211 396 1 (81) eV

Energy Conversion Factors IV
Units u (atomic mass unit) Hartree (atomic energy unit)
1 J (Joule) ´ factor =
energy equivalent = 		1 J (Joule) ´ {1/muc2} =
6.700 530 8 (40) ´ 109 u 		1 J (Joule) ´ {1/2R¥hc} =
2.293 710 4 (14) ´ 1017 Hartree
1 kg (kilogram) ´ factor =
energy equivalent = 		1 kg (kilogram) ´ {1/mu} =
6.022 136 7 (36) ´ 1026 u 		1 kg (kilogram) ´ {c/2R¥h} =
2.061 484 1 (12) ´ 1034 Hartree
1 m-1 (wavenumber) ´ factor =
energy equivalent = 		1 m-1 (wavenumber) ´ {h/muc} =
1.331 025 22 (12) ´ 10-15 u 		1 m-1 (wavenumber) ´ {1/2R¥} =
4.556 335 267 2 (54) ´ 10-8 Hartree
1 Hz (Hertz) ´ factor =
energy equivalent = 		1 Hz (Hertz) ´ {h/muc2} =
4.439 822 24 (40) ´ 10-24 u 		1 Hz (Hertz) ´ 1/2R¥c} =
1.519 829 850 8 (18) ´ 10-16 Hartree
1 K (Kelvin) ´ factor =
energy equivalent = 		1 K (Kelvin) ´ {k/muc2} =
9.251 140 (78) ´ 10-14 u 		1 K (Kelvin) ´ {k/2R¥hc} =
3.166 829 (27) ´ 10-6 Hartree
1 eV (electron Volt) ´ factor =
energy equivalent = 		1 eV (electron Volt) ´ {e/muc2} =
1.073 543 85 (33) ´ 10-9 u 		1 eV (electron Volt) ´ {e/2R¥hc} =
0.036 749 309 (11) Hartree
1 u (atomic mass unit) ´ factor =
energy equivalent = 		1 u (atomic mass unit) ´ 1 =
1 u (atomic mass unit) 		1 u (atomic mass unit) ´ {muc/2R¥h} =
3.423 177 25 (31) ´ 107 Hartree
1 Hartree (atomic energy unit) ´ factor =
energy equivalent = 		1 Hartree ´ {2R¥h/muc} =
2.921 262 69 (26) ´ 10-8 u 		1 Hartree (atomic energy unit) ´ 1 =
1 Hartree (atomic energy unit)

Atomic Units

Quantity Name Symbol Value
mass electron rest mass me » 9.109 5 ´ 10-31 kg
charge electron charge e » 1.602 2 ´ 10-19 C
action Planck constant/2p h = h/2p » 1.054 6 ´ 10-34 J s
length Bohr ao = 4peoh2/mee2 » 5.291 8 ´ 10-11 m
energy Hartree Eh = h2/meao2 » 4.359 8 ´ 10-18 m
time au of time h/Eh » 2.418 9 ´ 10-17 s
velocity au of velocity aoEh/h » 2.187 7 ´ 106 m s-1
force au of force Eh/ao » 8.238 9 ´ 10-8 N
momemtum (linear) au of momemtum h/ao » 1.992 9 ´ 10-24 N s
electric current au of current eEh/h » 6.623 6 ´ 10-3 A
electric field au of electric field Eh/eao » 5.142 2 ´ 1011 V m-1
electric dipole moment au of electric dipole eao » 8.478 4 ´ 10-30 C m
magnetic flux density au of magnetic flux density h/eao2 » 2.230 5 ´ 105 T
magnetic dipole moment au of magentic dipole Eh/me = 2mB » 1.854 8 ´ 10-23 J T-1
speed of light (vacuum) c/au of velocity ch/aoEh = a-1 » 137.04
Basic table data from: Formation Inc.
Note : In theoretical calculations units are usually renormalized to h = kB = c = 1.

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