Boron Carbide - Crystal Structure

Crystal Structure

Boron carbide has a complex crystal structure typical of icosahedron-based borides. There, B₁₂ icosahedra form a rhombohedral lattice unit (space group: R3m (No. 166), lattice constants: a = 0.56 nm and c = 1.212 nm) surrounding a C-B-C chain that resides at the center of the unit cell, and both carbon atoms bridge the neighboring three icosahedra. This structure is layered: the B₁₂ icosahedra and bridging carbons form a network plane that spreads parallel to the c-plane and stacks along the c-axis. The lattice has two basic structure units – the B₁₂ icosahedron and the B₆ octahedron. Because of the small size of the B₆ octahedra, they cannot interconnect. Instead, they bond to the B₁₂ icosahedra in the neighboring layer, and this decreases bonding strength in the c-plane.

Because of the B₁₂ structural unit, the chemical formula of "ideal" boron carbide is often written not as B₄C, but as B₁₂C₃, and the carbon deficiency of boron carbide described in terms of a combination of the B₁₂C₃ and B₁₂C₂ units.. Some studies indicate the possibility of incorporation of one or more carbon atoms into the boron icosahedra, giving rise to formulas such as (B₁₁C)CBC = B₄C at the carbon-heavy end of the stoichiometry, but formulas such as B₁₂(CBB) = B₁₄C at the boron-rich end. A common intermediate, which approximates a commonly found ratio of elements, is B₁₂(CBC) = B_6.5C.