(4) 



as beiiip;, prohabl}', a j)roteid containing glucose and laevulose groups 

 iji a peculiar radiating condition. 



At all events, the radiation hypothesis will he found to lead to 

 further quantitative research, to explain results already obtained and 

 to predict future results. 



Let us take a sufficiently concentrated solution of a grams of 

 canesugar in 100 c.c. of \\ater. A given amount of invertin then 

 yields in the first minute a quantity of invert sugar in, independent 

 of a. As soon, however, as a little invert sugar has been formed, the 

 condition cliaiiges. The enzyme rays are now not only absorbed by 

 the canesugar but also l)y the invert sugar. If we call >z the absorption 

 power of the invert siigai- in regard to that of canesugar, then after 

 the lapse of a time t when , f is the remaining canesugar, the inversion 

 velocity — (/,/; will be no longer m, but 



.^' 



— dx m m dt. 



,v -f- // (a — ./■) 



If we substitute = // and integrate, we oblani the equation 



^ 1 \ l-n m 



1 1 + ,i=:-t 



\l — ;ij /t iia 



or, using ordinary logarithms 



1 ] — 71 m 



log 1 0,434 1/ = — 0,434 t. 



' 1 — // n ' ria 



In this equation two constaiits occur. The first in may be at 

 once determined experimentally from the initial velocity. If we take. 



for instance the experiments of A. J. Brown'), then - or the fraction 



0,130 

 inverted per minute at the commencement is ———. If in our equation 



we substitute this value of m, we find during the whole series of 

 Brown's figures a value for ,r of about 0.5. 



It is, therefore, evident that the absorption powers of the cane- 

 sugar and glucose, or laevulose molecules are in the proportion of 

 about '2 to J, that is to say in the proportion of their masses or, 

 perhaps, surfaces. 



Then we found the retarding iniluence of glucose and laevulose 

 to be equal to that of invert sugar. Per unit of weight the number 

 of molecules in glucose for instance and in canesugar are in the 



1) Jouni. C.liem. Soc. 1902 pag. 377, 



