Physical Constants & Units Conversion 2006
A. Miyoshi

Physical Constants & Units Conversion (old 2006 version)

Physical Constants (old version CODATA 2006) and SI Units

Here, a brief summary of physical constants based on   P.J. Mohr, B.N. Taylor, and D.B. Newell (2007), "The 2006 CODATA Recommended Values of the Fundamental Physical Constants" (Web Version 5.0). This database was developed by J. Baker, M. Douma, and S. Kotochigova. Available: http://physics.nist.gov/constants [2008, May 13]. National Institute of Standards and Technology, Gaithersburg, MD 20899.   is shown. For detail, see, Fundamental Physical Constants from NIST.

Mathematical Constant

π 3.14159265358979323846

Fundamental Physical Constants (2006 CODATA)

Value UnitRel. std.
uncert.
Quantity
c0 299 792 458
= 2.997 924 58×108
m s−1(exact) speed of light
in vacuum
h 6.626 068 96(33)×10−34 J s5.0×10−8 Planck constant
e 1.602 176 487(40)×10−19 C2.5×10−8 elementary charge
NA 6.022 141 79(30)×1023 mol−15.0×10−8 Avogadro constant
me 9.109 382 15(45)×10−31 kg5.0×10−8 electron mass
R 8.314 472(15) J K−1 mol−1 1.7×10−6 molar gas constant
G 6.674 28(67)×10−11 m3 kg−1 s−2 1.0×10−4 Newtonian constant
of gravitation

Physical Constants

- though with an apparent relation to fundamental constants, known more accurate than derived from them

Derived as Value Unit Rel. std.
uncert.
Quantity
R mec0α2 / 2h 10 973 731.568 527(73)
= 1.097 373 156 8527(73)×107
m−1 6.6×10−12 Rydberg constant
α μ0c0e2 / 2h 7.297 352 5376(50)×10−3 6.8×10−10 fine structure
constant
F NAe 96 485.3399(24)
= 9.648 533 99(24)×104
C mol−12.5×10−8 Faraday constant
μB eh / 4πme 927.400 915(23)×10−26 J T−12.5×10−8 Bohr magneton

Physical Constants

- derived from fundamental mathematical / physical constants

Derived as Value Unit Rel. std.
uncert.
Quantity
μ0 4π×10−7 ~ 12.566 370 614×10−7 H m−1
(N A−2)
(exact) magnetic constant
ε0 1 / μ0c02 ~ 8.854 187 818×10−12 F m−1(exact) electric constant
ħ h / 2π 1.054 571 628(53)×10−34 J s5.0×10−8
mu 10−3 / NA 1.660 538 782(83)×10−27 kg5.0×10−8 atomic mass constant
k R / NA 1.380 6504(24)×10−23 J K−11.7×10−6 Boltzmann constant
a0 α / 4πR 0.529 177 208 59(36)×10−10 m6.8×10−10 Bohr radius
Eh 2Rhc0 4.359 743 94(22)×10−18 J5.0×10−8 Hartree energy

SI Derived Units with Special Names

Derived QuatitySymbol Expression
in terms of
other SI units
Expression
in terms of
SI base units
electric chargeC A s
electric potentialV J C−1m2 kg s−3 A−1
electric capacitanceF C V−1m−2 kg−1 s4 A2
Celsius temperature °C θ / °C + 273.15 ≡ T / K

Conversion of Units

Non-SI Units

Quantity
pressure 1 bar ≡ 105 Pa
1 atm ≡ 101 325 Pa
1 Torr ≡ 1 / 760 atm ~ 133.322 3684 Pa
energy1 cal ≡ 4.184 J
cross section1 b (barn) ≡ 1 × 10−28 m2