98 PEOCEEDINGS OF THE AMERICAN ACADEMY. 



work, 23 in studying the effect of fusion on the resistance of metals, 

 declares the behavior of solid antimony at temperatures considerably 

 below the melting point to be erratic, and he gives no estimate of the 

 change of volume during melting. 24 Gold, which undoubtedly in- 

 creases in resistance on becoming liquid, is very generally believed to ex- 

 pand at the same time, but diligent search and inquiry have failed to 

 bring me quantitative information in regard to this change of volume. 

 In trying to push my investigation further and find whether, among 

 metals in general, the observed changes of volume are of the right 

 magnitude, as well as of the right sign, to account for the change of 

 resistance, I meet with serious difficulties. There is a great dearth of 

 satisfactory data, especially in regard to changes of volume during 

 fusion, and moreover the theory of conduction which I have been 

 setting forth, though it would predict increase of resistance with in- 

 crease of volume, other things being equal, has nothing obvious to say 

 as to the effect of fusion, without regard to change of volume, on 

 resistance. Nevertheless, I believe that the data here brought to- 

 gether, and the results of an experiment which I have tried with 

 these data, are worth putting into print. The data appear in the 

 first three columns of the following table X. The results of my hand- 

 ling of these data make the last two columns, headed t r and t v re- 

 spectively. Of these, t r is the estimated temperature at which the 

 solid, if it could remain such at atmospheric pressure through the 

 implied heating or cooling, would have the resistivity which the 

 liquid has at the melting point; t v is the estimated temperature at 

 which the solid, if it could remain such at atmospheric pressure, 

 would have the volume which the liquid has at the melting point. 



Change of Resistivity and Volume in Fusion. 



t m = melt. temp, of the metal. 



R s = resistivity " solid at t m . 



Ri = " " " " liquid at t m . 



V s — sp. volume " " " solid at t m . 



\ i — liquid at /,„. 



t r = estimated temp, at which solid wd. have res. = Ri 



i n a a a a it (i _ _„i TT 



t v — sp. vol. = I j. 



23 See, for example, vol. 175 of the Journal of the Franklin Institute. 



24 Pascal and Jouniaux, C. R., Feb. 9, 1914, give 6.55 as the density of 

 liquid antimony at its melting point, 631° C. They hope to determine the 

 density of the solid at the same temperature. The value given by Landolt 

 and Bornstein for the solid at 20°, taken with the value they give for the 

 coefficient of expansion, would make the density of the solid at 631° about 6.50. 



