Vol. 7, 1921 
PHYSICS: W. DUANE 
269 
_ 2 ^ + l)»* f «' " ^' " S n] 2 (16) 
where a is related to AT' and n according to equation 13, and B is given 
by equation 15, and where a' and B' are obtained from the same equations 
by substituting N' + 1 for TV'. For purposes of computation I have 
performed the indicated integrations by graphical methods and plotted 
curves representing N'/n and B as functions of tan 2 a. The curves appear 
in the figure. The relation of N'/n to tan 2 a is almost linear. By using 
these curves to determine the values of a and a' corresponding to various 
values of N'/n and (N'+l)/n, respectively, and then the values of B 
B=_ Z 3 ,4 .5 
and B' corresponding to those values of a and a', the data of table 2 
has been computed. Columns 3 and 5 in table 2 contain values computed 
on a distribution of electrons represented by the scheme 
wi = 1, n 2 = 4, nz = 4, %i = 9, n~ 0 = 9, n & — 16, 
Tl = 1, T 2 = 2, To = 2, r 4 = 3, r 5 = 3, Tq — 4. 
The data in column 5 has been computed under the assumption that the 
two electrons nearest the nucleus revolve in opposite directions in separate 
orbits, one outside the other; whereas for the data of column 3 they are 
supposed to revolve in the same orbit. 
