THE STRUCTURE OF THE JSTUOLEUS. 



33 



the loss, or more probably, that the time losses obey similar exponential laws to 

 the exhaustion losses. In the former case if a is the nucleation and jy the pressure, 

 ?ij9 = const, is apparently suggested; but this startling proposition is at variance 

 with the results as a whole. The following theory is thei'efore a more rational 

 systematization of the data and follows the alternative view, foi' which other cogent 



TABLE 5.— LOSS OF NUCLEI FROM NORMAL CAUSES IN THE LAPSE OF TIME. 



EXHAUSTION, 76-58 cm. From Table 4. 



evidence mic^ht l)e adduced. Thus in table 4, the losses which occur in the 1-2 min- 

 utes between the exhaustion, in table 5 take place in a much longer time, say 7 

 minutes between the exhaustions; corona 4 is reached in table 5 in about 30 min 

 utes, but in table 4 it ai)peai-s in about 4-8 iniuutes, etc. 



For the sake of com[)leteuess figure 4 also contains the succession of ordei'S z 

 observed in the lapse of time in the three series. 



13. Worhing hypothesis.— Let z be the order of the corona (exhaustion 

 number), N the number of nuclei producing it for the fixed supersaturation. With- 

 out correction for time losses, N^f, where y^p/p^ under isothermal and 

 y _ (^p/p^yfy under adiabatic conditions, ^^ and p begin the pressures before and 



after exhaustion. 



The data of the preceding section show that A^apai't from exhaustions suffers 

 a time loss varying as {a + ht) in the time ;;, where a and h are constants. Hence 

 the above equation must be corrected to read, 



