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You should really check it out if you're interested in repeating what Prim did.
Love his channel, but there's a lot missing from this video - and it kinda sucks in that regard.
In a nutshell: The Wood Ash has to be calcined AND rapidly cooled - or it is unreactive and basically just a super-fine filler (which is good for mechanical reasons, but doesn't goo anything together).
And, BTW, NO! Sand does not work in place of his crushed pottery. Sand is super unreactive (unless you've got a very high pH) and is nothing but a filler. Crushed pottery is not only a filler - it's a Pozzolan. Pozzolans are half-reactive.
A Pozzolan!
Do dooo doo doodoo...
A Pozzolan?
Do doo doo doo...
Calco-Aluminosilicates are the bedrock of buildings (quite literally actually....) You got your Alites, and your Belites, your Feldspars, and your Limes....
Again - love Prim, but I've watched the results of his accidental success lead to some sad stuff :(