514 Prof. Baly and Mr. Garrett on the Ultra-violet 



common multiple of the basis constants is given by 

 1350*06/14 = 96*433, and, further, the wave-numbers of 

 the infra-red absorption bands of sulphur dioxide are 

 multiples of this least common multiple. This is shown 

 in Table I. 



Table I. 

 Infra-red Absorption Spectrum of Sulphur Dioxide. 



Factors. 



1/X. 



X Calc. 



XObs. 



Difference. 



96-433x10 



964-33 



1037/x 



10-37 p. 



o-oo 



96-433x12 



1157-20 



864 



87 



+0-06 



96-433x14 



1350-06 



7-41 



74 



-001 



96-433x18 



1734-79 



576 



5-68 



-0-08 



96-433x26 



2507-26 



399 



3-97 



-0-02 



96-433x33 



3182-29 



314 



3-18 



+0-04 



As regards the basis constants, Garrett has pointed out 

 that these are approximately 2'8, 4*3, 4, and 0*2, and that 

 the first and third are due to the oxygen atom, while the- 

 second is due to the sulphur atom as shown by the infra-red 

 absorption wave-numbers of oxygen and hydrogen sulphide.. 

 He showed that the wave-numbers of the infra-red absorption 

 bands of hydrogen sulphide may be expressed as multiples 

 of 4*3x10. As a matter of fact, they are still better 

 expressed as multiples of 4*32 x 10. Now, two of the most 

 pronounced infra-red bands are at \—S'4t6/jb and 4*24//,, and 

 their wave-numbers, 1182 and 2359, are very nearly equal 

 to 43*2 x 27 and 43*2 x 55 respectively. On the other hand, 

 these two bands are clearly harmonic, and this suggests at 

 once that their wave-numbers are due to the convergence 

 frequency of two bases. The most probable value of the 

 second basis constant therefore is 2*73, and the wave- 

 numbers as calculated are given in Table II. 



Two of the basis constants are now known accurately, and 

 the third, which is the product of Garrett's remaining two- 

 constants, may be found at once, since 96*433 is the con- 

 vergence frequency of them all. The third, therefore, is, 

 found to be 96*433/(4'32 x 2*73) = 8*177. Finally, the two 

 infra-red absorption bands of oxygen can be expressed in 

 terms of the fundamental 96*433, as shown in Table III. 



