100 Prof. T. Carnelley on an Algebraic Expression of 

 Table I. (continued). 



Even Series. 



I. 



II. 



Odd Series. 



I. 



II. 



Atomic 



weight. 



A. 



(Oalc.) 

 A 



m-\- V-y 



Atomic 



weight. 



A. 



c. 



(Calc.) 



A 



m+ Vy 



Series X. m=26. 

 Tantalum 



(H=l) 



182-1 

 183-6 



Mean... 



6-45 

 6-45 



Series XI. m=29^. 

 Gold 



196-9 9 

 199-7 

 203-7 

 206-5 



208-2 10 



Mean... 



6-46 

 646 

 6-52 

 6-56 

 6-56 



Tungsten 







Thallium 



Lead 



Bismuth 





6-45 



6-51 



Series XII. m=33. 

 Thorium 



231-9 



238-5 



Mean... 



6-62 11 

 6-72 



667 





Uranium 





General Mean =6-64. 





9 Thorpe & Laurie (1887). 10 Marignac (1884). u Kruss & Nilson (1887). 



From the above Table it will be seen that the values of c 

 as calculated from the atomic weights of 55 elements, using 

 the equation referred to, He between 6*0 and 7*2, with a 

 mean value of 6*64. The lowest value, 6*0, is obtained in the 

 case of carbon, and the highest, 7*2, in that of selenium. In 

 the great majority of cases, however, the value lies much 

 nearer to the mean value than is indicated by the two extremes 

 mentioned, thus : — 



In 1 case 



the value of c 



lies at 6'0. 











6-1, t 



. e. between 6-05-6' 15 



With one exception f 2 





6-2, 



6-15-6-25 



(Si), all these occur in \ 3 





6-3, 



6-25-6-35 



Groups 1 to 3. [ 1 





6-4, 



6-35-6-45 



fl5 





6-5, 



6-45-6-55 



do\ 11 





66, 



6-55-665 



I 9 





6-7, 



6-65-6-75 









6-8, 



6-75-6-85 



With one exception 1 * 

 (Li), all these occur in -I q 

 Groups 4 to 7. 2 



>> 5 



)5 i 



6-9, 

 7-0, 

 7-1, 



6-85-6-95 

 6-95-7-05 

 7-05-7-15 





7-2, 



7-15-7-20 



All the values of c, except that for carbon, lie between 

 6-24 and 7*20. Of the 55 values of c, 35 lie between 6*45 

 and 6*75. Of the other 20 values of c, which are farthest 

 from the mean, 11 occur in groups 5, 6, and 7, and of these 



