1881.] ^ * * [Chase. 



107. Kinetic and Static Energies. 



Motions, or tendencies to motion, v^, in elliptical orbits, vary in the in- 

 verse ratio of the distance from the centre of gravity. The acceleration 

 of a particle by any given mass, g, varies inversely as the square of the 

 distance. Orbital velocity of a particle, «„, varies inversely as the square 

 root of the distance. Velocity of gaseous diffusion, v.^, varies inversely as 

 the square root of the density, or inversely as orbital time, or inversely as 

 the I power of the mean distance. 



1 



g cc ^ (XvJ- 



3 



«, oc I — ; ex «, 

 1 



(}r 



«oOC yyj OC«o 



These several relations all seem likely to be involved in different prob- 

 lems of chemical physics. 



108. Critical Temperatures . 



Notes 58, 92-7, 102-3, indicate a variety of thermodynamic relations to 

 mass, which may be special instances of a large class. Circular, parabolic, 

 and dissociative velocities introduce the factors V 2 and tt, and tempera- 

 tures vary as the square roots of their representative velocities. Hence 

 may arise an indefinite number of critical temperatures. The two which 

 immediately follow Earth's theoretical internal temperature. Note 103, are 

 9582^.4 and 12009O.8 F. These temperatures may, perhaps, have impor- 

 tant bearings upon questions of specific heat, and siieciiic and atomic vis 

 mva. 



109. Harmonic Spectrum of Arsenic [_and TlMllium']. 



The American Journal of Science, for September, 1881, publishes Hun- 

 tington's Arsenic Spectrum, printing in heavy type "the bands which are 

 most brilliant and give character to the spectrum. The other lines are less 

 constant and less distinct, and in some instances may be due to accidental 

 causes." "Upon examining the spectrum it appeared evident that thal- 

 lium must be present in the arsenic in large quantities." The relations of 

 the observed lines to lines which are in harmonic progression are shown in 

 the following table. 



