DR. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 



347 



*(1) = 94120-27 + = N/{ 1-079474 -573} 3 . From this the , v links, viz., 

 u = *(l)-s(l)(A,), v = s(l)(-Aj)-s(l) can be calculated. The results are 



u = 1884-03 + 2-33 d!/,-- 



v = 



with 



e = 3183-34 + 4'096 c^- '006 



The occurrency curves for these are shown in Plate 2 (fig. l). It will be seen at 

 once that the maximum occurrences appear with sharp peaks in close agreement with 

 the calculated values. 



The calculated lines for m > 4 are outside the observation region, but their 

 existence can be indicated by using the above links as sounders. At the same time, 

 in order to give more confidence in the application of the method, the similar linkages 

 are examined for the lines which are observed. It is, of coiirse, understood that the 

 existence of a single link is no conclusive evidence of the existence of the unseen 

 line, as it may be a coincidence. The evidence is cumulative and is seen at a glance 

 in the diagram in Plate 3 (fig. l). The actual data are given here. In the appli- 

 cation of this the frequent link modification must be allowed for, as well as the effect 

 of observation errors. Consequently separations deviating by not more than two 

 or three units from the values determined above are admitted. As a fact, this will 

 exclude a number of real link connections as well as include a certain number of 

 pseudo ones. But by limiting the deviations to these small amounts the conclusions 

 drawn will be more reliable. 



SOUNDING Data. 



8(1). 

 (1) 39799 1882-57 



(In) 38497 3185 '23 S 2 S 3 



(1) 39741 1940-62 



(2) 37340 



1944-49 



(1) 39284 3184-49 Si 

 1882 * 11 



(3) 41166 



Here the u, v links form a series inequality in Sj with 39284 and a corresponding parallel inequality 

 with S 2 . The -e link with S 2 is probably spurious, since 38497 will later be shown to be D I5 (2) (p. 371), 

 and the link as shown is excessive. It is omitted in the diagram. % No links are seen with S 3 , 



S(2). 



(1) 21332 



1994-17 



(2) 23276 3183-57 



(5) 24578 



1881-95 



(4) 24062 

 1940-68 



(2w) 26003 



1884-03 (1) 29130 



(5) 31726 



1886-73 

 3183-70 S 2 3183-38 (1) 30430 3183 -11 (3) 33613 



1940-93 

 (2) 35554 



Here is present a chain of e links in 82 so frequent in Ag and Au [IV.]. Also, as in the case of m = 1, 

 are found the same modification effect of about 2 in the u, v links. It may be noted that in addition to 



