51 



TABLE 27.— TABLE OF LEAST-SQUARES ADJUSTED OUTPUT VALUES OF 

 PHYSICAL CONSTANTS (BY DuMOND AND ASSOCIATES) 



(November 1952) 

 Part 1. — Auxiliary constants used 



These auxiliary constants are quantities which are uncorrelated (observationally) with 

 the variables of the least-squares adjustment. 



Rydberg wave number for infinite mass . R* = 109737.309 ± 0.012 cm" 1 

 Rvdberg wave numbers for the light nuclei 



Rh = 109677.576 ± 0.012 cm" 1 



R D = 109707.419 ± 0.012 cm" 1 



R lIe s = 109717.345 ± 0.012 cm" 1 



R Ht * = 109722.267 ± 0.012 cm" 1 



Atomic mass of neutron n — 1.008982 ± 0.000003 



Atomic mass of hydrogen H = 1.008142 ± 0.000003 



Atomic mass of deuterium D = 2.014735 ± 0.000006 



Gas constant per mole (physical scale). Ro= (8.31662 ± 0.00038) X 10 7 erg mole" 1 deg-'C 

 Standard volume of a perfect gas 



(physical scale) V Q = 22420.7 ± 0.6 cm 3 atmos" 1 mole" 1 



Part 2. — Least-squares adjusted output values 



(The quantity following each ± sign is the standard error by external consistency) 



Velocity of light c = 299792.9 ± 0.8 km sec" 1 



Avogadro's constant (physical scale) ...N = (6.02472 ± 0.00036) X 10 23 (molecules mol)" 1 

 Loschmidt's constant (physical scale) .... 



Lo — N/Vo = (2.68713 ± 0.00016) X 10 10 molecules cm" 3 



Electronic charge e = (4.80288 ± 0.00021 ) X 10" 10 esu 



e' = e/c = (1.60207 ± 0.00007) X 10" 20 emu 



Electron rest mass m — (9.1085 ±0.0006) X 10" 28 g 



Proton rest mass m P = M P /N = (1.67243 ±0.00010) X 10" 24 g 



Neutron rest mass m n = n/N= (1 .67474 ± 0.00010) X 10" 24 g 



Planck's constant h = (6.6252 ± 0.0005) X 10" 27 erg sec 



fi = h/(2w) = (1.05444 ±0.00009) X 10" 27 erg sec 

 Conversion factor from Siegbahn X-units 



to milliangstroms X,/X. = 1.002063 ± 0.000034 



Faraday constant (physical scale) F = Ne = (2.89360 ± 0.00007) X 10 14 esu (gmol)" 1 



F = Ne/c = (9652.01 ± 0.25) emu (gm mol)" 1 

 Charge-to-mass ratio of the electron, .elm — (5.27299 ± 0.00016) X 10 17 esu g" 1 

 e'/m — e/(mc) = (1.7588 ± 0.00005) X 10 7 emu g" 1 



Ratio hie h/e= (1.37943 ± 0.00005) X 10" 17 erg sec (esu)" 1 



Fine structure constant a = c 2 /{fic) = (7.29726 ± 0.00008) X 10" 3 



l/a= 137.0377 ± 0.0016 

 o/2tt= (1.161396 ±0.000013) X 10" 3 

 a 2 = (5.32501 ± 0.00012) X 10" 5 

 1 - ( 1 — a 2 ) ^ = (0.266254 ± 0.000006) X 10" 4 

 Atomic mass of the electron (physical 



scale) Nm — (5.48760 ± 0.00013) X 10" 4 



Ratio of mass of hydrogen to mass of 

 proton a 



H/H+ = [ 1 — ^r( 1 — ia 2 )l -i = 1.000544610 ± 0.000000013 



Atomic mass of proton '.H* — 1.007593 ± 0.000003 



Ratio of proton mass to electron mass. . . 



H + /Nm= 1836.13 ±0.04 

 Reduced mass of electron in hydrogen 



atom ft = mH ; /H = (9.1035 ± 0.0006) X 10 2S g 



Schrodinger constant for a fixed nucleus 



2m/# 2 = ( 1.63844 ± 0.00016) X 10 27 erg" 1 cm" 2 

 Schrodinger constant for the hydrogen 



atom 2/x/ii 2 — (1.63755 ± 0.00016) X 10 27 erg" 1 cm" 2 



First Bohr radius a = 1?/(me 2 ) = (5.29171 ± 0.00006) X 10"° cm = a/(4irfl K ) 



* The binding energy of the electron in the hydrogen atom has been included in the quantity. The 

 mass of the electron when found in the hydrogen atom is not m but more correctly m(l — l/2a 2 -|-' - ). 



{continued) 



SMITHSONIAN PHYSICAL TABLES 



