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List Of Used Physical Constants

The following physical constants and conversion factors are used in CFOUR (set in routine constants in the module xjoda):

  • atomic unit of length {$a_0$}
    Value 0.529 177 2083 x 10-10 m
    Standard uncertainty 0.000 000 0019 x 10-10 m
    Relative standard uncertainty 3.7 x 10-9
    Concise form 0.529 177 2083(19) x 10-10 m
    Jobarc record AU_LENGT
  • elementary charge {$e$}
    Value 1.602 176 462 x 10-19 C
    Standard uncertainty 0.000 000 063 x 10-19 C
    Relative standard uncertainty 3.9 x 10-8
    Concise form 1.602 176 462(63) x 10-19 C
    Jobarc record CHARGE_E
  • unified atomic mass unit {${\rm u}$}
    Value 1.660 538 73 x 10-27 kg
    Standard uncertainty 0.000 000 13 x 10-27 kg
    Relative standard uncertainty 7.9 x 10-8
    Concise form 1.660 538 73(13) x 10-27 kg
    Jobarc record AMU
  • nuclear magneton {$\mu_{\rm N}$}
    Value 5.050 783 17 x 10-27 J T-1
    Standard uncertainty 0.000 000 20 x 10-27 J T-1
    Relative standard uncertainty 4.0 x 10-8
    Concise form 5.050 783 17(20) x 10-27 J T-1
    Jobarc record NUC_MAGN
  • electron mass {$m_{\rm e}$}
    Value 9.109 381 88 x 10-31 kg
    Standard uncertainty 0.000 000 72 x 10-31 kg
    Relative standard uncertainty 7.9 x 10-8
    Concise form 9.109 381 88(72) x 10-31 kg
    Jobarc record MASS_ELE
  • proton mass {$m_{\rm p}$}
    Value 1.672 621 58 x 10-27 kg
    Standard uncertainty 0.000 000 13 x 10-27 kg
    Relative standard uncertainty 7.9 x 10-8
    Concise form 1.672 621 58(13) x 10-27 kg
    Jobarc record MASS_PRO
  • Planck constant over 2 pi {$\hbar$}
    Value 1.054 571 596 x 10-34 J s
    Standard uncertainty 0.000 000 082 x 10-34 J s
    Relative standard uncertainty 7.8 x 10-8
    Concise form 1.054 571 596(82) x 10-34 J s
    Jobarc record HBAR
  • proton-electron mass ratio {$m_{\rm p}/m_{\rm e}$}
    Value 1 836.152 6675
    Standard uncertainty 0.000 0039
    Relative standard uncertainty 2.1 x 10-9
    Concise form 1 836.152 6675(39)
    Jobarc record AU_MASSP
  • speed of light in vacuum {$ c,c_0 $}
    Value 299 792 458 m s-1
    Standard uncertainty (exact)
    Relative standard uncertainty (exact)
    Concise form 299 792 458 m s-1
    Jobarc record SP_LIGHT
  • Conversion from Eh to eV
    Conversion equation: 1 Eh = x eV
    x = {2Rhc/e}
    Value of conversion factor: x = 27.211 3834(11)
    Jobarc record AU_EV
  • Avogadro constant {$N_{\rm A},L$}
    Value 6.022 141 99 x 1023 mol-1
    Standard uncertainty 0.000 000 47 x 1023 mol-1
    Relative standard uncertainty 7.9 x 10-8
    Concise form 6.022 141 99(47) x 1023 mol-1
    Jobard record AVOGADRO
  • Conversion from Eh to J
    Conversion equation: 1 Eh = x J
    x = {2Rhc}
    Value of conversion factor: x = 4.359 743 81(34) x 10-18
    Jobarc record AU_ENERG
  • Conversion from Eh to m-1/cm-1
    Conversion equation: (1 Eh)/hc = x m-1
    x = {2R}
    Value of conversion factor: x = 2.194 746 313 710(17) x 10 7
    Jobarc record AU_CM-1
  • Conversion from cm-1 to kcal/mole
    Value of conversion factor: x = 2.85914 x 10-3
    Jobarc record CM-1_KCA
  • 'Conversion from cm-1 to kJ/mole
    Value of conversion factor: x = 11.96266 x 10-3
    Jobarc record CM-1_KJ
  • atomic unit of electric dipole moment {$ea_0$}
    Value 8.478 352 67 x 10-30 C m
    Standard uncertainty 0.000 000 33 x 10-30 C m
    Relative standard uncertainty 3.9 x 10-8
    Concise form 8.478 352 67(33) x 10-30 C m
    1 Debye=3.33564 x 10-30 C m (from Mills, ....)
    Final Value=8.478 352 67 / 3.33564
    Jobarc record AU_DIPOL
  • atomic unit of velocity
    Value 2.187 691 2633 x 106 m s-1
    Standard uncertainty 0.000 000 0073 x 106 m s-1
    Relative standard uncertainty 3.3 x 10-9
    Concise form 2.187 691 2633(73) x 106 m s-1
    Jobarc record AU_VELOC
  • atomic unit of time
    Value 2.418 884 326 505 x 10-17 s
    Standard uncertainty 0.000 000 000 016 x 10-17 s
    Relative standard uncertainty 6.6 x 10-12
    Concise form 2.418 884 326 505(16) x 10-17 s
    Jobarc record AU_TIME
  • electron g value
    Value -2.002 319 304 3718
    Standard uncertainty 0.000 000 000 0075
    Relative standard uncertainty 3.8 x 10-12
    Concise form -2.002 319 304 3718(75)
    Jobarc record EL_GFACT
  • Boltzmann constant
    Value 1.380 6504 x 10-23 J K-1
    Standard uncertainty 0.000 0024 x 10-23 J K-1
    Relative standard uncertainty 1.7 x 10-6
    Concise form 1.380 6504(24) x 10-23 J K-1
    Jobarc record BOLTZMAN

All values are taken from

QUANTITIES, UNITS, AND SYMBOLS IN PHYSICAL CHEMISTRY, I. Mills et al. Blackwell Science, Oxford, 1993, 2nd Ed.

and from http://physics.nist.gov.cuu/Constants/

Note that currently still some older values are used.

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Page last modified on February 24, 2022, at 10:45 AM
CFOUR is partially supported by the U.S. National Science Foundation.