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



The number of the cases where multiples of A 2 enter, as well as their a]i|N>aranou in 

 the corresponding position in the two elements where corresponding lines are olwerved 

 must produce a conviction that they represent real and not chance relations. In the 

 case of Ca it makes A a close to 13687 corresponding to $ = 3617710*. If has any 

 but a very small value, the first two multiples are upset, but these may be due to 

 chance. If be made 6'5 as suggested below, A a will be about 1370'2 with 

 < = 362'15tt> 3 , which is considerably greater than the most probable value. The 

 probability is that can only be a small quantity, = 1 changing J/if* by '06. 

 A similar reasoning applied to Sr rather tends to show that here the value 6 '5 is to 

 be preferred. It makes the first multiple = 5x5594'60, and the other values of A a 

 become 5556'44, 56'21, 57'66, and 5556 gives $ = (36 1 '52 "24) IP*, the uncertainty of 

 this being due to a possible error in the atomic weight of 87'66, with = 5'5 the 

 first relation gives A 3 = 556T40. 



Again the most probable values of the denominators of F 13 (2) are 



Ca = 934539*-115'2 = 937277-115'2f-2A :i , 

 Sr = 925946t-H4'0 = 937060 -114'0- 2 A^ 



The numbers on the right are practically equal. If analogous relations are found in 

 Ba and Ka it points to the existence of a group constant alxmt 937300. On the 

 other hand it would seem that the denominators of VF U (2) are, like those of 

 VD 13 (2) multiples of A 2 also, for 



denominator of CaF,,(2) = 934539 + 5<S = 683 (136871-'16), 

 SrF,,(2) = 925946 + 5,5 = 167 (55527<J-'68), . 



and = -6, 5 in Sr makes A,, = 5557'21 in line with those above. 



The denominator of CaF n (2) is 8A a less than that of Cul) w (2), 

 SrF a (2) ,,11A 3 Sri) (2). 



Which of these two interpretations is the more likely must l>e left until the cases of 

 Ba and Ka are considered. It should however be noted that there may be some 

 uncertainty as to what lines really represent F u , F w , or F 13 , i.e., as to which of them 

 the multiple law is to be attached. 



There remains to consider the question of the real limits. 



supposing them to be D n , D ]S> D u are so strong that it is necessary to see whether 

 the values obtained direct from the F series, and those required in Table 

 be brought into agreement. 



If the F series possess what has been called in [II.] a formula sequence, t 

 obtained for F( ) above cannot be more than a few units in error, and in this case 



* Calculated from formula. 



t The observed is probably F ls (2) since the separation with F s (2) is the f 



J5 D 2 



