Series System in the Spectrum of Gold. 21 



in which p is equally probable within +*5 and possible 

 within ±2. The linkage v + c = 14934*05 4 4607-77 = 

 19541*82 here indicated would give for the P(co) = s(l) a 

 value 70642-79 -19541*82 = 51101 = N/( 1*464 .. .) 2 . It is, in 

 fact, a value obtained by an independent attack on the P 

 problem undertaken below. It may be noted that by an 

 explanation of this kind the combination lines given by the 

 P' set will be the same as by a P set, and consequently 

 p(l)—p(m). 



There is also another way in which the presence of the 

 S(cc) in the 41172 pair may be accounted for, and in our 

 present state of ignorance as to spectral constitution, it is 

 advisable to consider it. It is to regard the 29469 as a 

 limit and the pair as summation lines. Now it is curious 

 that such a set can be found. They are 



(3)21558-05 (4J)=...81-86 J 



(3)21577-30 (3^)=.. 81-76 [(21581-94) 29469-78 (10) .37357 "62 



(3) 21589-65 (-5^) =..82-21 J 



381483 381532 



(1^)25396-77 33284*85 (10)41172-94 



Denoting the series by R for convenience, the R t is given 

 as split up into at least three displaced lilies. The sequent 

 (37357 — 29469) has denominator 3*728865, so that the lines 

 correspond to R(3). The oun displacement on the sequent 

 produces 1*488. The three lines displaced from Ri(3) as 

 indicated give the same value for R(3) within fractions of 

 possible errors, and are of the same intensity and character. 

 Indeed, they would seem to afford a striking illustration of 

 the split up of a normal line of strong intensity (witness, the 

 intensities of the R lines) into a number of weaker displaced 

 ones *. 



For m = 4 the denominator should be near 4*72, and the 

 following set satisfying the conditions are found : 



(1)24558-61 29467-30 (34376-11) = (-6^) (10)34311-55? 



381493 381588 



(3)28373-54 332S2-76 (2) 38191 "99 



* There is, in fact, a whole succes>ive group of similar character — in 

 addition to the above maybe adduced (3)21530-70(34 8,) = ...SI '30; 

 (1)21542-49(26 80= ...81-18; (3)21601-77 (-138,)= ... 82*43, a mean 

 from the six of 21581-79 malnm>- „= 38150. 



