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The search for new ultraincompressible, superhard materials has been performed largely through trial and error. Despite the difficulties in synthesizing such materials, interest in this field has blossomed with recent experimental and theoretical results. Such progress has led to the development of superhard metal borides, ultraincompressible nitrides, and strong carbides. Our previous parameters of high electron density and high covalent bond density had served us well in synthesizing ultraincompressible, superhard metals, but after a decade of research, a more detailed understanding is needed. By studying the origin of strength from previously discovered incompressible, hard materials, we hope to gain new insight into this rapidly growing field. In particular, we propose a focus on bonding and structure to understand why some materials are ultraincompressible and superhard.
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