Table 624 

 VARIOUS ATOMIC AND SPECTRUM FUNCTIONS 



515 



I0 Z I0 3 IP 4 10 s I0 6 I0 7 I0 8 10 s 10'" (3) i 



Frequency, sec" 



/o' 6 10 17 to' 8 10 19 lo 10 I0 2 ' io iZ 



1. In black body unpolarized radiation the energy transmitted 

 per sec per sq cm per unit solid angle per unit frequency band is, 

 by Planck's radiation formula, H v -(hvfc *)/(e hv AT -/j; per 

 unit wave-length band it is E^=(hc z /A s )/(e f ' c/AkT -/). The 

 values hv/kT= 2. 82144 a a and hc/AkT* 4. 96511 m b make 

 K v and £> take their maximum values, whence the temperature 

 of the radiation thai has its maximum K v or E% at a particular 

 frequency or wave length can easily be computed. 



2. Electron speed + I84G^ = speed of a proton having 

 the same energy, with negligible error _at low energies. 

 This holds to within 0.1% up to v = 3* lO 17 , but becomes 

 1.87a low at V=3*lo"*, 12% low at v = 3*lo' 9 , and 

 should not be used at all for higher frequencies. For 

 convenience, .6368+ I846 l/z - .0I62Z ; 20.89 '+ l846 /z 



& = I 5in • p?m •* laac'/z = 



'.4863; 66.07 

 .005129 



I. 538 ; .2203 + 1846 ' 



3. Frequency is used as the fundamental quantity with 

 Birge's values (Physical Review Supplement I, I, July 1929) 

 of the physical constants, and the final calculation rounded 

 off to four figures. 



Speed of light, c - 2.99796 * io'°cm sec 

 Electronic charge, e = 4. 770 * I0~'°abs esu 

 Electronic mass (by deflection), m = 8.994 * lo'* 8 g 

 Planck's constant, h = 6.547 * I0' Z7 erg sec 

 Molecular gas constant, k= l.3708 9 * I0~' s erg deg~' 

 299.796 abs volts - labs esu of potential 

 I 15° calorie. J IS ■ 4. 1852 abs Joules 

 Avogadro's number, N = 6.064 «lo"mole~' 

 A tomic weight cf helium - 4. 0022 

 Atomic weight of hydrogen - 1.00777 



4. Corresponding to "first ionization potentials' Cs 3,88 V, 

 He 24.48 V. 



Compiled by W. Edwards Deming 

 Drawn by Mrs. C. Sherry 

 Revised, August 1929 

 Smithsonian Tables 



U. 5. Department of Agriculture 

 Bureau cf Chemistry a Soils 

 Washington, D. C. 



