358 
DE. W. M. HICKS; A CEITICAL STUDY OF SPECTEAL SEEIES. 
Sj (1) - e - M and S 3 (1) - 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 135i on S(oo) produces 13'26, and the four 
lines in question are 41474'51 = (7Si) Si (1) - e -m or e.tt.(78i) Si (1), 41488’27 = e.M.( - 681 )Si (1), 
41218'08 = e.w.(78]) S 3 ( 1 ), 41231’67 = e.r.(' 68 i) S 3 (1). That is, S 3 repeated from Si. 
26549-76 
(- 38) (4) 25817 
-c 29-44 
-09 
(28) (7) 25841 
2e-v(4) 24665 
-34 
-e-M(l) 25391 
- -17 
S(2). 
26731-40 
(- 68 i)(l) 27165 
u 71-50 - -09 
(6Si)(2) 27177 
- m(-78i) (3) 26-285 --05 
-(3) 26001 
-e 11-98 --04 
(3) 22 
-2e (1) 25290 ' -14 
-2e-?; (3) 24845 -58 
26806-14 
?t-5-8(1) 27239-82 
w-6-2(l) 27242-58 
-e- 12(3) 26098-42 
-2e + M(l) 25804 -31 
-2e + u + v(3) 26248 -11 
- 2e-r(l) 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 + = 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 Si, (2) 26744-15 at 12- 75 above S 2 , and (3) 26098-42 at 12 above the linked 
line Ss + e. Further, 12, 2 x 12 , appear in connection with the different linked systems, showing the 
existence of sets of lines depending on displacements in S ( 00). 
(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 81 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, 2 e + r, 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 ( - 28i) S ( co), 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. 
S(3). 
40244 40423 (40498-74) 
e + 6(3) 40969 
e + 7-3(l) 41150 
e{2) 41218 
•02 
e + ®(3) 41407 
- -04 
2e + 6-4-r(3) 41426 
e + v{2) 41860 
•04 
2e(3) 41681 
-07 
2c (2) 41860 
-14 
2e(3) 41940 
- -16 
2e-v{3) 41243 
-01 
-e-w(l) 39265 
- -12 
(1) 41488 
2e-u 500 
- -10 
-e+12(4) 39536 
-02 
-v{5) 39981 
1 
0 
00 
(1) 41512 
- 2e + u{l) 39244 
- -01 
-2e + u{3) 39420 
•16 
(2) 40926 
u 37 
(1) 40949 
•02 
