52 



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

 PHYSICAL CONSTANTS (continued) 



Radius of electron orbit in normal H 1 , 



referred to center of mass 



oo' = a (l — a 2 )' = (5.29157 ±0.00006) X 10- e cm 

 Separation of proton and electron in nor- 

 mal H 1 ««" = ao' R./Rn = (5.29445 ± 0.00006) X 10"° cm 



Compton wavelength of the electron 



X„ = h/(mc) = (24.2625 ± 0.0006) X 10"" cm = a 2 /(2R„) 

 X„ = Xc«/(27r) = (3.86150 ± 0.00009) X 10" 11 cm = a*/(4wR.) 



Compton wavelength of the proton 



X., = h/m P c = (13.2139 ± 0.0004) X 10"" cm 

 X cp = X cp /(27r) = (2.10307 ± 0.00007) X 10" 14 cm 



Compton wavelength of the neutron 



X cn = h/ntnc = (13.1958 ± 0.0004) X 10" 14 cm 

 X cn = X cn /(27r) = (2.10017 ± 0.00007) X 10" 14 cm 

 Classical electron radius. . . .*,= e 2 /(mc 2 ) = (2.81784 ± 0.00010) X 10-" cm = * 3 /{4irR*) 



r 2 = (7.9402 ± 0.0005) X 10" 20 cm 2 



Thompson cross section | W = (6.65196 ± 0.0005) X 10" 25 cm 2 



Fine structure doublet separation in 



hydrogen A£„ = ~R lia 2 [ 1 + ~ + (|-M^) a 2 ] 



= 0.365869 ± 0.000008 cm" 1 

 = 10968.49 ± 0.25 Mc sec" 1 

 Fine structure separation in deuterium. . . 



AE D = AE„ R D /Rn = 0.365969 ± 0.000008 cm" 1 

 = 10971.48 ± 0.25 Mc/sec" 1 



Zeeman displacement per gauss 



(e/mc)/(4wc) = (4.66879 ± 0.00015) X 10" 6 cm" 1 gauss" 1 



Boltzmann's constant k = R /N= (1.38042 ± 0.00010) X10" 18 ergs deg" 1 



k = (8.6164 ± 0.0004) X 10-" ev deg" 1 

 \/k— 11605.7 ±0.5 deg ev" 1 



First radiation constant c, = 8 *■ he = (4.9919 ± 0.0004) X 10" 15 erg cm 



Second radiation constant c 2 = hc/k = (1.43884 ± 0.00008) cm deg 



Atomic specific heat constant c*/c = (4.79946 ± 0.00027) X 10" 11 sec deg 



Wien displacement law constant b . .X m .«r= c 2 /(4.96511423) = 0.28979 ± 0.00005 cm deg 



Stefan-Boltzmann constant . v 



a = (tt760) (fc 4 /#V) = (0.56686 ± 0.00005) X 10" 4 erg cm" 2 deg" 4 sec" 1 



Sackur-Tetrode constant S /R =z J -f / n {(27rtf„) 3/2 h~ 3 TV" 4 } 



= -5.57324 ±0.00011 

 So = — (46.3505 ± 0.0017) X 10 7 erg mole- 1 deg" 1 

 Bohr magneton 



M3 ^ he/ (Aw mc) = j e X e « = (0.92732 ± 0.00006) X lO" 20 erg gauss" 1 



Anomalous electron moment correction. . . 



[l + 2^-2.973^] =m.M=1. 



001145356 ±0.000000013 



Magnetic moment of the electron (i. = (0.92838 ± 0.00006) X 10" 20 erg gauss" 1 



Nuclear magneton 



an = hc/(Awtn P c) = noNm/H* — 0.505038 ± 0.000036) X 10" 23 erg gauss" 1 



Proton moment /* = 2.79277 ± 0.00006 nuclear magnetons 



= (1.41045 ± 0.00009) X 10" 23 erg gauss" 1 

 Gyromagnetic ratio of the proton in hy- 

 drogen (uncorrected for diamagnetism) 



y = (2.67520 ± 0.00008) X 10 4 radians sec" 1 gauss" 1 

 Gyromagnetic ratio of the proton (cor- 

 rected) y = (2.67527 ± 0.00008) X10 4 radians sec" 1 gauss" 1 



Multiplier of (Curie constant)* to give 

 magnetic moment per molecule. (3k/N)* = (2.62178 ± 0.00017) X 10" 20 (erg mole deg" 1 ) 1 



b The numerical constant 4.96511423 is the root of the transcendental equation x — 5 (1 — e~*). 



(continued) 



SMITHSONIAN PHYSICAL TABLES 



