Structure and bonding in boron carbide: The invincibility of imperfections

Abstract

Boron carbide, usually described as B₄C, has the mysterious ability to accommodate a large variation in carbon composition (to as much as B₁₀C) without undergoing a basic structural change. We systematically explore how the bonding varies with carbon concentration in this structure and the origin of the fundamental electron deficiency of the phase. As the carbon concentration is reduced, we find that the exo-polyhedral B_Eq–C bonds of the icosahedra in the structure become increasingly engaged in multiple bonding, and the repulsive steric interactions between the bulky B₁₂ units surrounding the carbon atom are reduced. The short bond lengths observed within the three-atom C–B–C chains are then due to substantial π-bonding, while the carbon deficiency weakens its σ-framework significantly. We conclude that the idealized framework of boron carbide has to expel some electrons in order to maximize its bonding; disorder in the structure is an inevitable consequence of this partial oxidation. The localization of electronic states arising from the disorder leads to the semiconducting nature of boron carbide throughout its composition range.