544 



Dr. E. J. Mills on the 



severest comparison is where the values of x are low : here, 

 if the theory had heen inaccurate, gross discrepancies must 

 have been immediately indicated *. 



As has been stated in Part II., the form of the periodic 

 function here adopted is based primarily on a law of cooling, 

 followed by polymerization and reversal. 



Periodicity itself would appear to necessitate an impulsive 

 origin for the elementary bodies. Liveing, many years ago, 

 attributed this property to chemical change in general. 



The object of the present communication is to include the 

 results of the discoveries and discussions of the last sixteen 



years. 



Group I. 

 ?/ = 15-15(-9375)< 





X. 





y- 



y calc. 



He . . 



. . 5 





3-94 



4-14 



Li . . 



. . 10 





7-01 



7-13 



Be . . 



. . 14 





9-09 



8-92 



Bo . . 



. . 20 





10-94 



10-87 



C . . 



. . 25 





11-97 



12-01 



N . , 



. . 42 





14-00 



14-00 





Gh 



*oup 



II. 







y=30- 



-15 



(•9375)*. 







X. 





y- 



y calc. 



. . 



. . 1 





[standard] = 



= 15-94 



F . . 



. . 5 





18-98 



19-14 



Ne . . 



. . 6 





19-86 



19-82 



Na . . 



. . 12 





23-00 



23-09 



Mg . . 



. . 15 





24-28 



24-30 



Al . . 



. . 25 





27-01 



27-01 



Si . . 



. . 32 





28-20 



28-10 





Group 



III. 







#=45- 



-15(-9375)* 







X. 





y- 



y calc. 



P . . 



. , 1 





30-96 



30-94 



s . . 



. . 2 





31-98 



31-82 



CI . . 



. . 7 





35-37 



35-45 



K . . 



. . 14 





39-02 



38-92 



Ar . . 



. . 16 





39-76 



39-66 



Ca . . 



. . 17 





39-90 



39-99 



Sc . . 



. . 42 





43-98 



44-00 



* Copper, for example, occurs in Group V. It must obviously be 

 entered under x=3, 4, or 5 ; i. e. have the numeric 62*64, 63*41, or 64*14. 

 The experimental number having been now practically settled at 68*36, 

 there can be no doubt that a=4 is the only correct selection. 



