Absorption and Fluorescence. 573 



und wave-lengths calculated from the different values of 

 m and n, and in the fourth column are given SleatorV 

 measurements. The agreement between observed and 

 calculated values is again very good, especially when the 

 fact is considered that in these measurements Sleator 

 estimates his accuracy to be only one-tenth of that reached 

 in the previous set set forth in Table I. 









Table II. 











Second Seiues. 





FlR! 



st Series. 





m. 



1/X. 



A calc. 



X obs. 



X calc. 



1/A. 



n. 



7 



14604 



6-818 



6-828 



6-838 



146-24 



3 



6 



148-54 



6732 



0-752 









5 



15104 



6621 



6-634 















6-573 



6-579 



15200 



2 



4 



153-54 



6-513 



6-520 









3 



15604 



6-409 



6-418 















6-344 



6-338 



157-77 



1 



2 



158-54 



6-308 



6-289 









1 



16104 



6210 



n 216 









i) 



163-54 



6115 



6114 



6-115 



16354 







1 



16604 



6023 



6016 









2 



16854 



5934 



5-938 















5-895 



5-907 



169-30 



1 



3 



17104 



5-847 



5-864 









4 



17354 



5763 



5-768 















5-717 



5-712 



17507 



2 



5 



17604 



5681 



5-680 









6 



178-54 



5-601. 



5-617 









7 



181-04 



5-524 



5-525 



5-530 



180-84 



3 



8 



183-54 



5-449 



5-447 









9 



186-04 



5375 

















5-352 



5-359 



186-60 



4 



10 



188-54 



5-304 



5-309 









11 



19104 



5-235 



5242 









12 



193-54 



5167 



5-172 



5-171 



193-37 



5 



13 



19604 



5102 



5111 









14 



198-54 



5-037 



5-022 



5-022 



199-14 



6 



The results now obtained for the system of frequencies 

 possessed by the molecules or! sulphur dioxide and water 

 establish very definitely the existence of simple relationships 

 between the three sets of frequencies — molecular, intra- 

 molecular, and atomic. Whilst the atomic frequencies are 

 characteristic of the individual atoms and the molecular 

 frequencies are characteristic of the molecule as a whole, 

 the intra-molecuhir frequencies are characteristic of groups 

 of atoms within the molecule. Remarkable confirmatory 

 evidence of the reality of these intra-molecular frequencies 

 and their origin in atomic groupings within the molecule 

 is afforded by naphthalene. In one of the early papers 

 of this series I dealt with certain constant frequency 



