Representation of the Periodic System of the Elements. 211 



Table IV. 

 Ring^Transformer. 



Frequency, <^ per sec. 



I 2 

 1/ 



Error from 84 

 i** per second. 



40 15-48 



07 per cent. 



57 1552 



045 per cent. 



84 



15-59 



i 



The results in Table V. of a similar experiment with the 

 transformer of open magnetic circuit described above show 

 how different its behaviour is. 



Table V. 

 Transformer with open Iron Circuit. 



>-* per second. 



I 2 Error from 84 

 \' "•' per second. 



44 



28-1 24-3 per cent. 



84 



37*1 



i 



It seems clear, therefore, that iron-ring transformers may 

 in many cases be used in a similar way to that described 

 above for air-core transformers ; but care must be taken to 

 have the resistance of the secondary circuit sufficiently small. 



In conclusion I beg to thank Messrs. Lovell, Macalister, 

 Sankey, and Norman for their kind help in some of the 

 experiments. 



XXVIII. Remarks upon the Analytical Representation of the 

 Periodic System of the Elements. By Dr. A. Goldhammer*. 



TWO attempts have been made in recent times to represent 

 analytically the periodic dependence of the general 

 chemical behaviour of the elements upon their atomic weights; 

 these two researches, entirely independent of each other, and 

 published at an interval of about eight years, have led to the 

 same result in a remarkable way. F. Flawitzky in Kasan in 

 1887 |j and J. Thomsen in Copenhagen in 1895 %, represent 

 the chemical character of an element e as a function of its 



* Translated from a separate impression from the Zeitschr. f. anorq. 

 Chemie, vol. xii. (1896), communicated by the Author. 



f F. Flawitzky, Verh. d. Naturf.-Ges. Univ. Kasan (1887). 



% J. Thomsen, Zeitschr. f. anorg. Chemie (1^95), ix. pp. 283-290. " 



