36-J DR. W. M. HICKS; A CRITICAL STUDY OF SPECTRAL SERIES. 
of S ( 00 ). If D ( 00 ) = {— ^j) S ( CO ^ here = f — '15 of S ( co The lines calculated 
from the formula for the succeeding lines are all outside the observed region. For 
in = \ ...7 they are respectively in wave-numbers 
47079-52, 48500-56, 49349-39, 49896-60, 
The detailed discussion immediately following will show the evidence for their 
existence by sounding. The existence of a parallel set at a distance — (e + v) is 
brought to light which show for the al)Ove calculated lines values of O —C = -09, -00, 
-14, --01. 
The agreement is remarkably close and would seem to show that the value of 
D ( 00 ) used is very close to its true value, about one or two units in excess. The 
results of the discussion are exhibited as a whole in Plate 3, fig. 4. 
As in the previous cases, the linkings with the observed lines ni, = 1, 2, 3 are given, in order to show 
that the method is justified where it can be tested. 
1 . 
2 . 
3. 
( 6 ) 20976 
(5) 38560 
(3) 44426 
e(4) 24158 
-17 
e(l) 41743 -04 
-r (10) 42483 -01 
?;(1) 22914 
-86 
-r (1) 36619 -27 
-2e (4) 37061 -13 
i’(-Si) 22914 
-00 
- e -v(3) 15856 
4. 
5. 
6 . 
[47079-52] 
[48500-56] 
[49349-39] 
-e(7) 43894 
-08 
-e [45317] 
-e [46166] 
-e-v(l) 41951 
-09 
-c-r (1) 43374 -00 
-e-'r(2) 44220 -13 
-u(2) 45196 
-00 
7. 
[49896-60] 
-e [46713] 
-e-^-(l) 44771 --01 
-2e-r (.3) 41.588 -05 
In TO = 1 negative links lead to lines in the red where observation is defective. Liveing and Dewar 
give a line to the nearest unit which may possibly be a -e-v link. The line 22914 is too far out to be 
an exact v, but its difference is 4-47, which corresponds to an exact - 8 i displacement on the limit. In 
other words, it belongs to the limit as calculated from the S series. 
In TO = 4...7 the -e-v sounders all show lines in evidence. The -e sounder for m = b, Q would 
show lines just within the boundary of observation, and the absence of corresponding observed lines is 
therefore explicable. In m = 4 the line 41951 is part of an apparent triplet. 
(1) 41951-59 786-19 (1) 42737-78 308-51 (2) 43045-93. 
The diminished values of vi, 1^2 indicate that the second and third lines correspond to D 22 and D 33 lines. 
The value of I'l is however sufficiently close to make the difference due to observation error, in which case 
