Impossible Carbides
Some metals, such as lead and tin, are believed not to form carbides under any circumstances. There exists however a mixed titanium-tin carbide, which is a two-dimensional conductor. (In 2007, there were two reports of a lead carbide PbC2, apparently of the acetylide type; but these claims have yet to be published in reviewed journals.)
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“What is impossible by the nature of things is not confirmed by any law.”
—Marcus Tullius Cicero (106–43 B.C.)