PROF. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 91 



to 24558 in both cases. If the LENARD series be recalculated with the limit 



24552'G* 



n = 24552-6 ( + /)-N/(m+l '02583 -fwT 1 x -2631) 



giving obs. calc. : 



-IS., +1-3K.H., 1-1 S., -'13 S., 



-2-2 S. 



making the fourth lie between the readings of K.H. and S. The agreement is 

 improved. 

 There remain 



7418-3' 

 7410 



is., 5100 LE., 4820 LE., 4730 LK, 



and possibly the doublets in which K.H. and S. disagree, 



3 ' 5 JK.H. J ; 



4910-1] 4629-4 



Of these, 4913, 4633, 4470 are shown by RYDBERG'S table to have a limit about 

 24466, i.e., the S. and D. series and D's respectively 5'155, 6'155, 7'155, which clearly 

 refer to the D's of VP. To test this, find the differences between the wave-numbers 

 of these lines and the corresponding values of P l (4.5.6), and suppose K.H. and S.'s 

 values may have observational error 1 A.U. and LENARD 5. 



Obs. for the P! 37296-20 1-39 38539'51 1'48 39298'9() T54 



K.H. 20346-55 4iZX K.H. 21577'90 4'GdX LE. 22365-2 5 d\ 

 S. 24-37 S. 94-67 S. 52'6'J 



K.H. 16949-651 16961-611 , LE. 169337 1 26 



S. 16971-83] - 16944-84] " 16946'21J 6'5 



The numbers would seem to show that where K.H. and S. give doublets not 

 quite the same, that of higher wave-number must be taken. The differences are of 

 about equal value, and their mean is 16946 - 9 = 169476 ; using this for other lines 



gives : 



Pi (2). P,(3). Pi (7). 



30271-83 35041-93 397933 



16947 16947 16947 



13324 + 6 180956 228469 



13324 has not been observed, 180956 is near the LENARD 180843, 228469 

 is also near the LENARD line 22866 '5 S. (X = 4372). The limit of the series is 



* It was originally done with this, and nothing is gained by recalculation. 



N 2 



