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I could only find one named Amperium on the web, but not on the eBay or any little shops. It is very interesting material with conductivity 40 times better than copper. Is it possible to buy anywhere a little sample of material like this?

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eBay is not the right resource for materials like this, and neither are little shops. This is a highly specialized material, which is rare and probably very expensive. If it weren't you would find it in every motor or generator. I would contact the manufacturer for information on distributors (if any) and availability.

Note: If it conducts only 40 times better than copper (website says 100) technically it's not a superconductor. Those have zero resistance.

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    \$\begingroup\$ There's still a limit how much current a superconductor can tolerate before superconduction breaks down. They are probably referring to this when they say that it conducts n times better than copper. \$\endgroup\$ – starblue Jul 23 '11 at 6:13

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