and the Line-spectra of Hydrogen and Oxygen. 363 



and in accordance with theorem I., in view of the facts stated 

 under (4)/3, 



f§[J']+f[0"]=§[0'] = J, 

 whence 



*[&'] : [0"]=4:5, 

 and 



E*'3=f[0']=t, [0"]=|[0']= 1 v 



But, further, 



*[0"3=txA=a& 



is the space which 0" occupies within the oxygen in H 2 0- 

 vapour ; then 



[*"] + W=[0"]=A; 



and according to theorem I., taken with the facts of 4(7), we 

 have 



§K&"]+§M=t[0"]=fft5 



whence, again, 



**[&"] 1 [c]=4:5, 

 and 



[6"]=|[0"]=fxA=n J 



[c]=f[0"] = ^. 



The chemical structure of oxygen in the above-named 

 interval of temperature is therefore expressed by the chemical 

 volume-formula 



= H'.0', O^.O",, 0"=V 5 . 



0=H^[6 4 0^]=H^.[5 4 .(5 4 c 5 ) s ]. 



That is to say, "Oxygen in its simplest molecular condition 

 is a compound of the modified hydrogen B7, which radiates 

 the second so-called compound line-spectrum of hydrogen, 

 with a substance / in equal volumes without condensation. 

 The latter / is a compound of four volumes of the pentavalent 

 (nitrogen-like) element b of hydrogen in a special condition 

 of chemical condensation with five volumes of a substance 0" 3 

 which itself again consists of four volumes of the primary ele- 

 ment b (in one of the former various chemical conditions) 

 with five volumes of a new hitherto unknown primary sub- 

 stance." 



As I have here deduced the chemical structure of H and 

 by a mathematico-spectroscopic method, so I should no doubt 

 be able to determine the chemical structure of the so-called 

 elements nitrogen and carbon by means of my chemical theory 

 of disturbance, if I were furnished by skilful spectroscopists 

 with complete and trustworthy lists of the wave-lengths of 



2B2 



