Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55)
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PHYSICAL CONSTANTS AND CONVERSION FACTORS 7 The values of constants given in Table 2.3 are based on an adjustment by Taylor, Parker, and Langenberg, Rev. Mod. Phys. 41, .p.375 (1969). They are being considered for adoption by the Task Group on Fundamental Con- stants of the Committee on Data for Science and Technology, International Council of Scientific Unions. The uncer- tainties given are standard errors estimated from the experimental data included in the adjustment. Where appli- cable, values are based on the unified scale of atomic masses in which the atomic mass unit (u) is defined as 1/12 of the mass of the atom of the W nuclide. Table 2.3. Adjusted Values of Constants Constant Symbol Speed of light in vacuum ___.._ .____ ~ ____ c Elementary charge ............................ e Avogadro constant ......................... Na Atomic mass unit ........................... , u Electron rest mass .......................... 1 me Proton rest mass .............................. m, Neutron rest mass .......................... m,, I Faraday constant ............................ I F Planck constant ................................ 1 h x j Fine structure constant .................. Charge to mass ratio for electron.. Quantum-charge ratio . . . . . . . . . . . . . . . . . . . . . . Compton wavelength of electron Compton wavelength of proton ____ Rydberg constant ............................. Bohr radius ...................................... Electron radius ................................ Gyromagnetic ratio of proton ........ (uncorrected for diamagnetism, HzO) .............................................. Bohr magneton .................................. Nuclear 'magneton ............................ Proton moment .................................. (uncorrected for diamagnetism, Gas constant ...................................... Normal volume perfect gas ............ Boltzmann constant .......................... First radiation constant ( 8 ~ h c ) ___. Second radiation constant .............. Stefan-Boltzmann constant ............ Gravitational constant .................... HzO) .............................................. a lla elm. hle XC Xc/2n XC,P XC.P/2U RC4 a0 Q. 7 712r Y' 7'12u PB PN PV PvlPN P'PIPN B V , k c1 cz C7 G Value 2.997 925 0 1.602 191 7 4.803 250 6.022 169 1.660 531 9.109 558 5.485 930 1.672 614 1.007 276 6: 1.674 920 1.008 665 2( 9.648 670 2.892 599 6.626 196 1.054 591 9 7.297 351 1.370 360 2 1.758 802 8 5.272 759 4.135 708 1.379 523 4 2.426 309 6 3.861 592 1.321 440 9 2.103 139 1.097 373 1: 5.291 771 5 2.817 939 2.675 196 5 4.257 707 2.675 127 0 4.257 597 9.274 096 5.050 951 1.410 620 3 2.792 782 2.792 709 8.314 34 2.241 36 1.380 622 4.992 579 1.438 833 5.669 61 6.673 2 Uncer- tainty x -c 10 70 21 40 11 54 34 11 8 11 10 54 16 50 80 11 21 54 16 14 46 74 12 90 14 11 81 13 82 13 82 23 65 50 99 17 17 35 39 59 38 61 96 31 jysteme International (SI) < l o 8 mls 10-19 c 1023 mol-1 10-31 kg 10-87 kg 100 u 10-27 kg 100 u 104 Clmol 10-37 kg 10-4 u 10-34 J * s 10-34 J s 10-3 ______ ____ ______________ 102 ........................ 10" c/kg 10-15 J.SK ...................................... 10-12 10-13 10-15 107 10-15 107 10-24 10-27 10-16 10-11 108 108 10' 10-26 100 m m m m m-1 m m rad s-IT-' HzIT rad s-IT-1 HzIT JIT JIT JIT 100 ........................ 100 J - K-1 mol-1 10-2 m31mol 10-23 JIK 10-24 J a m 10-2 m - K 10-8 w . m - 2 ~ - 4 10-11 N m2/kg2 Unit Centimeter-gram-second (CGS) < l o 1 0 10-20 10-10 1023 10-24 10-2s 10-4 10-24 10-24 103 1014 10-27 10-27 10-3 107 1017 10-7 10-17 10-13 10-14 105 10-9 10-13 104 103 104 103 10-24 10-23 100 100 102 10-10 10-11 10-21 100 100 ...................... 107 erg K-1 mol-1 104 cm3lmol 10-16 erg1K 10-15 erg. cm 100 cm K 10-5 erg cm-2~-1K-~ 10-8 dyn cmzlga $Based on 1 std. dev; applies to last digits in preceding column. *Electromagnetic system. tElectrostatic system.