## 05 May 2009

I still need a small alchemical detail worked out. I need to know the formula for lead type. I hope I can look it up. If not, I would need the volume by weight of the three metals (lead, tin, antimony) when liquid and when solid. With those numbers, I should be able to determine the % of each that is needed to create a dimensionally stable alloy.

I'm pretty sure how to do this with Antimony and either one of the other metals:

aV

Then I compute the same formula for Lead and Antimony. Once I have two dimensionally stable alloys, a 50/50 mix of the two alloys should result in a third dimensionally stable alloy of all three metals. So, for example, if the ratio of Tin to Antimony is 3:1 and the ratio of lead to Antimony is 5:1, then the total formula would be 3 parts tin, 5 parts Lead, and 2 parts Antimony. I'd like to see how close the actual formula is to the previously solved formula for a 3 part alloy that is equal inweight per volume to Silver (.803005305cm

I'm pretty sure how to do this with Antimony and either one of the other metals:

aV

_{1}T + bV_{1}A = aV_{2}T + bV_{2}A where a and b are the percentage or number of units and V_{1}T is the volume of tin when liquid per unit and V_{2}T is the volume of tin when solid per unit. V_{1}A is the volume of antimony per unit when liquid and V_{2}A is the volume of antimony per unit when solid.Then I compute the same formula for Lead and Antimony. Once I have two dimensionally stable alloys, a 50/50 mix of the two alloys should result in a third dimensionally stable alloy of all three metals. So, for example, if the ratio of Tin to Antimony is 3:1 and the ratio of lead to Antimony is 5:1, then the total formula would be 3 parts tin, 5 parts Lead, and 2 parts Antimony. I'd like to see how close the actual formula is to the previously solved formula for a 3 part alloy that is equal inweight per volume to Silver (.803005305cm

^{3}Lead + .105459050cm^{3}Tin + <.091535645cm^{3}Antimony result result in 1 cm^{3}alloy equal in weight to 1 cm^{3}Silver.
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