﻿394 Dr. Genevieve V. Morrow on, Displacements in 



involved, such as those drawn by Planck and Jeans ; 

 although it appears that certain relations must exist between 

 these constants if Planck's formula is to be obtained. 

 Investigation seems to be necessary to attempt to fathom 

 these relations between the constants of the theory, or are 

 we to accept them as unfathomable properties of natural 

 phenomena ? 



The University, Sheffield, 

 November 4, 1914. 



Note added Jan. lGth, 1915. — The main contention of the 

 present paper is capable of explanation in terms of a well 

 known difficulty in the ordinary statistical kinetic theories 

 connected with the " continuity of the path " of a dynamical 

 system. It is in fact definitely denied that a dynamical 

 system which involves in its essential constitution a perfectly 

 irregular mass of vibrating elastic matter (or sether) when 

 started from any phase will traverse every other phase geo- 

 metrically consistent with the energy condition. In fact, 

 motions of the system in which more than a limited finite 

 number of the higher vibration coordinates possess an amount 

 of energy comparable with that of a dynamical coordinate 

 of ordinary type (translation coordinate of a gas molecule, 

 for example) are impossible both mathematically and 

 physically. 



XLII. Displacements in certain Spectral Lines of Zinc and 

 Titanium. By Genevieve V. Morrow, Ph.D., A.R. C.Sc.I. 

 (1851 Scholar)*. 



WITHIN recent years many observers claim to have 

 found displacements in the lines of the arc and 

 spark spectra of various elements, whilst others affirm that 

 there is no alteration in the wave-lengths, and that the 

 differences found have been caused by inaccuracy or by 

 the methods used in measurement. Professors Exner and 

 Haschek f have found displacements in certain lines of zinc 

 and titanium by their method of measurement — that of pro- 

 jection on a divided screen. It seemed of interest to obtain, 

 by means of the same apparatus which they had used, the 

 arc and spark spectra of the same two elements, but under 

 various conditions and methods of production, and to measure 



* Communicated by the Author. 



f Exner and Haschek, Sitzung&ber. tier Wien. Alcad. cxv. II. A. (1906) . 



