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



351 



S 3 (3) ). The observed S sets, as well as others found by sounding, are given in the 

 following table : 



xs. 



The first three lines gives the formula 



n = 



All QO") 2 



k 

 m ) 



From the limit 51025, and using the observed separations given by the S(2) lines, 

 viz., 1777'90, 815'05, the values of A 1; A 2 are found to be 



A! = 24893 + 13-64 ^-'72^= 40f {610'87 + -334^ 1 -'018^}, 

 A 2 = 10996 + 13-33 ^-'31^= 18 {610'89+ 74 dv a -'017}. 



To a first approximation therefore the oun is given by S = 610'88. The calculated 

 value of the e link from the value of A x is e = 7314'09- '0056^ + 4'23 d Vl . The result 



VOL. CCXX. - A. 3 C 



