868 DE. A. MATTHIESSEN ON THE EXPANSION 



The means of the foregoing formulae are put together in Table IV. 



Table IV. 



Formula! for correcting the cubical expansion. 



Cadmium V,= Vo(l + 10-'xO-8078i+10-'xO-140<') 



Zinc V,=Vo(l + 10-* xO-8222<+10-«X 0-0706/^) 



Lead V,=Vo(l + 10-*XO-8177<+10-«XO-02220 



Tin V,=Vo(l+10-'xO-6lOO<+10-''xO-0789<') 



Silver V,= Vo(l + 10-'x 2-5426<+10-'X 0-0405O 



Copper* V, = Vo(l+10-*x0-4463<+10-«x0-0555<=) 



Gold V,= Vo(l + 10-''x0-4075<+10-'x0-0336<-) 



Bismuth V,=Vo(l + 10-* X 0-3502< + 10-''X 0-0446O 



Palladium V,=Vo(l 4-10-*X 0-3032<+10-''x 0-0280O 



Antimony V,=V„(1 + 10-*X 0'2770<+10-«X 00397O 



Platinum V,=Vo(l + 10-'x 0-2554<4-10-"x 0-0104<') 



The formulae for the correction of the linear expansion of the above metals may be 

 deduced by dividing the coefficients obtained for the linear expansion by 3. These 

 values are given in Table V, 



Table V. 



Metal. FormuUc for correcting the linear expansion. 



Cadmium L,=Lo(l + 10-*X 0-2693(!+10-«X 0-0466O 



Zinc L,= L„(l + 10-'x0-2741<+10-''x0-0234O 



Lead L,=Lo(l + 10-*X 0-2726<+10-''x 0-0074O 



Tin L,=Lo(l + 10-*x0-2033<+10-''x0-0263<=) 



Silver ...... L,= Li,(l + lO-'x 0-1809<+10-«X 0-0135<=) 



Copper L,=Lo(l + 10-'x0-1481<+10-''x0-0185<=) 



Gold L,=Lo(l + 10-''x0-1358/!+10-°x0-0112<") 



Bismuth L,=Lo(l + 10-" x 0-1 167<+ lO-^x 0-0149^) 



Palladium L,= Lo(l + lO-'x 0-101 1<+ IQ-^x 0-0093<-) 



Antimony L,=Lo(l + 10"" x 0-0923<+ lO'^x 0-0132/-) 



Platinum L,=Lo(l + 10-' x O-OSSU+lO-^x 0-0035<=) 



These values agree in most instances with those found by former observers ; and as 

 these only determined the expansion between 0° and 100", I give in the following Table 

 the volume and length which a unit volume or length at 0° will occupy at 100° as 

 deduced from the formulae. 



Table VI. 



V„ = l, L„ = l, 



thenV,„„= thenL,„o = 



Cadmium 1-009478 1-003159 



Zinc 1-008928 1-002976 



Lead 1-008399 1-002799 



Tin 1-006889 1-002296 



Silver 1-005831 1-001943 



Copper 1-004998 1-001866 



Gold 1004411 1-001470 



Bismuth 1-003948 1-001316 



Palladium. 1-003312 1-001104 



Antimony 1-003167 1-001056 



Platinum 1-002658 1-000886 



m 



The formula here given is the mean of Series No. 1 and 2, and No. 13. 



