1866.] Heat of Metals and Alloys. 221 



Table II. — Formulae for the Correction of the Linear Expansion by Heat * 



of the Metals. 



Cadmium L,=L, (I + IQ-^X 0-2693^+ 10-^ X 0-0466^^). 



Zinc L,=L,(l + 10-^x0-2741i+10-«x0-0234«^). 



Lead L,=L„ (I + IO"^ x 0-2726^+10-^ x 0-0074^^). 



Tin L,=Lo(l + 10-^ X 0-2033^+10-^ x0-0263i^). 



Silver L,=Lo(l + 10-*xO-1809^+10-«xO-0135^^). 



Copper L,=Lo(l + 10-*x0-1481^ + 10-^x0-0185^^). 



Gold L,=L„(l + 10-^xO-1358^+10-^xO-0112^^). 



Bismuth L,= Lo(l + 10-*X 0-1167^+10-^ xO-0149^^). 



Palladium L,= L, (1 + 10"^ x 0-1011^+10"^ X 0-0093f-). 



Antimony L.rrL^ (1 + 10"^ x 0-0923^+10-^ X 0-01 32^^). 



Platinum L,=L, (1 + 10"^ X 0-0850^+10"^ X 0-0035^. 



Table III. — Formulae for the Correction of the Cubical Expansion by 

 Heat of the Alloys, 



Sn, Pb : V,= (1 + 10-* x 0-6200^+ 10-^ x 0-0988O. 



Pb, Sn : V,= (1 + 10-* x 0-8087^+10"^ X 0-0332^^). 



Cd Pb : V,= V, (1 + 10-* X 0-9005^ + 10-' x 0-0133^-). 



Sn, Zn : V,= (1 + 10-* x 0-6377^+ 10-^ x 0-0807^^). 



Sng Zn : V,= (1 + 10-* x 0-6236^+10-' X 0-0822^^). 



Bi,,Sn :V,= V,(l + 10-*x0-3793^+10-'x0-0271O. 



Bi Sn^ : V,=Vo (1 + 10"* x 0-4997^+10"' x O-OlOl^- 



Bi,, Pb : V,=Vo (1 + 10-* X 0-3868^ + 10-' x 0-0218^^). 



Bi Pb, : Ve= (1 + 10"* x 0-8462^+ 10-' x 0-0159^^). 

 Cu + Zn (7 1 p. c. Cu) : Y = (1 + 10"* x 0-5161^+10"' x 0-0558f ). 



An Sn, V,=Vo (1 + 10-* x 0-3944^+10"' x 0-0289^^). 



Au, Sn, Y,= Y, (1 + 10"* x 0-4165i+ 10"' x 0-0263^^). 



Ag.Au Y,=Yo(l + 10-* X 0-51660. 



AgAu Y,=Y, (1 + 10"* X 0-4916). 



Ag Au, Y,= Y„ (1 + 10"* X 0-3115 + 10"' x 0-1185^. 

 Ag + Pt (66-6 p. c. Ag) Y,= Y, (1 + 10"* x 0-4246^ + 10"' x 0-0322^. 

 Au + Cu (66-6 p. c. Au) Y,=Y, (1 + 10"* x 0-4015^ + 10"' x 0-0642^^). 

 " Ag+ Au (36- 1 p. c. Ag) Y,= Y, (1 + 10-* x 0-4884^ + 10-' x 0-0552i^). 

 Ag + Au (71-6 p. c. Ag) Y,=Y„ (1 + 10"* x 0-4413^+10"' x 0-01300- 



number of the zeros. I have also preferred keeping the exponents constant, adding, 

 iu.itead of altering them, a zero after the decimal point when required. 



