346 
DE. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 
KrS. 
Si. 
S 2 . 
S'a. 
83 . 
1 . 
-(10)23.53-95 
42468-98 
786-52 
-(10)2398-38 
41682-46 
309-20 
-(3)2416-31 
41373-26 
( 
340-51 
-l)2418-13t 
41341-95 
2 . 
(10)3778-23 
26460-07 
786-45 
(9)3669-16 
27246-62 
341-49 
(4)3623-74 
27588-11 
3. 
(3)2489-51 
40156-61 
769-80 
(1)2442-68* 
40926-41 
1 
I 
4. 
(1)2216-72 
45097-86 
774-3 
(l)2179-3t 
45872-2 ±2 
311-4 
(2)2164-6 
46183-6±2 
786-45 + 339-86 
(2)2162-7 
46224-17±2 
5. 
(2)2259-83.6 
(47421-14) 
786-45 + 343-5 
(6)2299-02.6.m. 
(48551-12) 
6 . 
(4)2362-18.26? 
(48688-12) 
or (48698-34)§ 
788-06 
(1)2159-5.6 
(49476-18) 
301-54 
(6)2302-88.26 
(49777-72) 
786-45 + 340-4 
(8)2300-35.26 
(49825-2) 
Tlie first three Sj lines give for the formula 
n = 5165r29-N/{m + -093630--014156/m}". 
The calculated wave-numbers for m = 4...7 are in order 45095’25, 47419'39, 
48695‘38, 49470‘47. The first gives O —C, d\ = T2 ; the others are outside the 
observed region but are reached by sounding and give 0 —C values of —‘08, T2, "22, 
the errors including those of the sounders. 
Quantities relating to the separation 309 will be denoted by dashed letters. With 
the limit 5165r29 + f and separations 786’45-1-c^ri, 309’20 + c?/ 2 , 341T6 + d:^ 2 > II flie 
values of Aj, Aj are found to be 
Ai = 10969--316^3-1379 = 44 (249-30 +-314 c?j/i--007^), 
A'a = 4244--121^+13-67 c?4 = 17 (249-63 +'80 -007^), 
Aa = 4680--121^+13-65 c?;/2 = 18| (249-64 + 73 -007^). 
The value of the oun is thus given by ^ 249-30 +-314 249-63 +-8 with 
the uncertainty usually found from triplet separations [see III., p. 332]. From the 
limit =p(l) and Aj the values of the a, b, c, d, e links are at once found. The 
result for e = ^ 2 ( 1 ) ( —SAj—^ 2 ( 1 ) ( 2 A 2 ) is 3183-35. Since Sj (l) = jo (l)—s(l), 
* ? S 2 (3) (- 98), see displaced sets below. 
t Is Fg (2), see p. 376. 
I In region at very end of Baly’s list ; 41341 is his last. 
§ (6) 2291-26.e.w. 
II Obtained as least square value from m = 1,2,3, supposing A equally probable. 
