358 



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



Sj(l)_ e _ M and S 3 (l)-e- v. They land between the lines indicated above, where the separations are 

 13-76 and 13-59, or the same within error limits. Now 13Sj on S(oo) produces 13-26, and the four 

 lines in question are 41474-51 = (78])Si (l)-e-w or e.w.(78i) B! (1), 41488-27 = e.u.(- 6i)Si (1), 

 41218-08 = e.0.(78i)S 3 (l), 41231-67 = e..f6S 1 )S 3 (l). That is, S 3 repeated from Si. 



26549-76 

 (-38) (4) 258 17 



-e 29-44 -09 



(28) (7) 25841 

 2e-i>(4) 24665 '34 



-e-w(l) 25391 --17 



8(2). 



26731-40 

 (-68,)(1) 27165 



M 71-50 



(681) (2) 27177 



n(- 78 a )(3) 26285 



- (3) 26001 



-e 11 



98 



(3) 22 



-2e (1)25290 



- 2e - (3) 24845 



- -09 



- -05 



- -04 



14 



58 



26806-14 

 M- 5-8(1) 27239-82 



0-6-2(1) 27242-58 

 -e-12(3) 26098-42 

 -2e + w (1)25804 -31 



11 



26248 

 -26-0(1) 24921 



Several interesting points emerge from the above. 



(1) The links to 26806 as S 3 are all bad. On the other hand, if the links are regarded as correct, 

 the last three point back respectively to 26803-97, 05-34, 03-35, or a mean 26804-22. If Si is correct 

 and i-i + i' 2 = 179-50 + 75-60 as assumed S 3 should be 26804-86, the same within the various error 

 limits. This is therefore supporting evidence in favour of the supposition made above that the very 

 strong line (9) 26806 is not itself S 3 (2), but that it overshadows the true one, which ought to be a very 

 weak one. 



(2) The existence of separations in the neighbourhood of 12 is also very marked. There are lines 

 (4) 26562-08 at 12-22 above S,, (2) 26744-15 at 12-75 above S 2 , and (3)26098-42 at 12 above the linked 

 line S 3 + e. Further, 12, 2x12, appear in connection with the different linked systems, showing the 

 existence of sets of lines depending on displacements in S(oo). 



(3) In S 2 the allotted line is 181-64 ahead of Si instead of the normal 179-50. The majority of the 

 links from Si are to displaced lines, in which S : gives a separation of about 1'03, so that no direct 

 evidence as to normal value of S 2 is directly available, beyond the fact itself that displacement is very 

 prevalent. The two only direct links, 2e, 2e + v, would refer back to lines at 26730-34, 27-77, or a mean 

 of 26729-05, which is 179 "3 ahead of Si and clearly points to the normal S 2 . In other words, the normal 

 S 2 is displaced by ( - 2<5i) 8 ( ), .but the linked lines refer back to the undisplaced normal lines. With 

 the development of our knowledge of the laws of spectral construction, such facts as these may be 

 expected to be of the greatest importance in settling questions of internal constitution of individual 

 vibrating systems. 



8(3). 



40423 



+ 7-3(1) 41150 

 6-4-0(3) 41426 

 26(2) 41860 

 -e-w(l) 39265 



-0(5)39981 

 -2e + w(3) 39420 



