16 Proceedings of the Royal Society of Victoria. 



coluuiu on the fitth line read 3421 "OS instead of 2-421 -05, and on 

 the last line 4081-66 instead of 4085-66. 



While the computed and experimental values as a rule agree 

 very closely, there are a few series, like the one of Betaoxygen, 

 that cannot be brought into exact accordance. The reason of 

 this peculiarity has yet to be accounted for. 



The computation of the Constants in this paper has been done 

 in the following manner. From the first four lines of each parti- 

 cular series I ascertained the value of root x. Comparing then 

 the values of the normal series with the corresponding one 

 of the abnormal series I selected the two that were in best 

 accord. For Oxygen and Sulphur these happened to be the 

 middle lines, for Selenium the least refrangible line. The 

 difference of those two roots I found to be for Oxygen, -0595, 

 for Sulphur, 1-198, for Selenium, 1-063. Taking the mean of 

 the two values for my corrected root, I determined the remaining 

 three Constants from the first three lines. I then computed the 

 wave numbers of the remaining lines of the series. Then, con- 

 verting these wave numbers into their corresponding vibration 

 numbers, I added or subtracted, as required, the mean difference 

 of the vibration numbers of the triplets. This difference amounts 

 to 3-70 and 2-08 in Oxygen, to 18-15 and 11-13 in Sulphur, and 

 to 103-68 and 44-63 in Selenium. Having thus found the 

 vibration numbers of the remaining series, I reconverted them 

 into wave numbers and ascertained their Constants. The 

 reader will find them in the accompanying Tables. 



Of the doublet or Betaoxygen series Runge and Paschen have 

 given the measurement of only one pair, viz., 6046-564 and 

 6046-336. Their respective vibration numbers are 16538-24 

 and 16538-94 or a difference of -70. The mean root of the two 

 subordinate series having been found equal to 4712-657 in wave 

 numbers, their respective separate roots will be 4712-727 and 

 4712-587 with a difference of -14. 



Turning to the Table of Constants we find the difference of 

 the roots of the first and third line of the triplets : Alphaoxygen 

 = 1 -072 ; Sulphur = 7-243; Selenium = 39-73. Taking the square 

 roots of these numbers, we obtain Alphaoxygen = 1 -04 ; Beta- 

 oxygen = -37 ; Sulphur = 2*69 ; Selenium = 6-30. 



