DR. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 
351 
83 ( 3 )). The observed S sets, as well as others found by sounding, are given in the 
following table ;— 
XS. 
m. 
1. 
Si. 
-[2371-57 
[42153-39; 
1777-90 
S2. 
-(10) 2476-02 
40375-49 813-99 
S 3 . 
-(4) -2526-97 
39561-50 
2. 
(4) 3854-44 
25936-90 
1777-90 
(5) 3607-17 
27714-80 815-11 
(1) 3503-99 
28530-91 
3. 
(4) 2527-10 
39559-46 
1776-69 
(1) 2418-47 
41336-15 814-63 
(<1) 2869-71.6 
(42150-88) 
4. 
(I'/i) 2689-82.6 
(44480-53) 1777-44 
(4) 2871-85.6.-M 
(46257-97) 817-68 
(1) 2829-35.6.?; 
(47075-65) 
5. 
(1) 2828-01. 
(46797-58) 
e.u 
1779-33 
(1) 2944-78.26 
(48576-91) 
6. 
(2) 2452-76.6 
(48072-37) 1778-33 
{In) 2623-31.6.?; 
(49850-70) 815-34 
(1) 2549-05.6.?i 
(50666-04) 
7. 
(< 1) 2921-74.6.6(-81) 
(48866-68) 1777-80 
(4) 2777-10.6.6(81) 
(50624-48) 815-22 
(1) 2715 - 91.6.6 ( - Si) 
(51439-70) 
8. 
(2) 2658-37.6 (-8i).w 
(49350-39) 1778-69 
(1) 2538-16.6.?; 
(51129-08) 816-00 
(2?!,) 2468-54.6.?^ 
(51945-08) 
9. 
(1) 2850-41.26 
(49700-78) 
10. 
(1) 2616-79.^ 
(49949-59) 
( - Si).?; ( - Si) 
1777-55 
(1) 2701-99.26 
(51727-14) 815-61 
(1) 2432 - 87.6 (-Si).?((-Si) 
(52542-75) 
11. 
(1) 2584-04.6.W 
(50134-99) 1781-25 
(2) 2470-30.6.?( 
(51916-24) 813-57 
(1) 2943-07.26.?i 
(52729-81) 
12. 
(2) 3202-17.26.?; 
(50276-15) 1777-00 
(1) 2479-98.6.?; 
(52053-14) 817-59 
(3) 2614-13.26 
(52870-73) 
13. 
(2) 2663-43,26 
(52162-72) 815-00 
i 
(<1) 2921-74.26.?? 
(52977-72) 
The first three lines gives the formida 
n = 51025-29-N/lm+'096726 
011826? 
m 
■J 
From the limit 51025, and using the observed separations given by the S ( 2 ) lines, 
viz., 1777’90, 815‘05, the values of Aj, Ag are found to be 
Ai = 24893 +13-64 d»/i-72^ = 40f {610-87 + -334 di'i--018^}, 
A 2 = 10996 +13-33 ^.'2--31^ = 18 {610-89 +-74 d^2-■017^}. 
To a first approximation therefore the oun is given by ^ = 610-88. The calculated 
value of the e link from the value of Ai is e = 7314-09 —-0056^+4-23 dv^. The result 
VOL. ccxx.— A. 3 c 
