Related Experiment Video
Updated: Mar 15, 2026

Spark Plasma Sintering Apparatus Used for the Formation of Strontium Titanate Bicrystals
Published on: February 9, 2017
New Ground-State Crystal Structure of Elemental Boron
Qi An1, K Madhav Reddy2, Kelvin Y Xie2
1Materials and Process Simulation Center, California Institute of Technology, Pasadena, California 91125, USA.
Abstract:
Elemental boron exhibits many polymorphs in nature based mostly on an icosahedral shell motif, involving stabilization of 13 strong multicenter intraicosahedral bonds. It is commonly accepted that the most thermodynamic stable structure of elemental boron at atmospheric pressure is the β rhombohedral boron (β-B). Surprisingly, using high-resolution transmission electron microscopy, we found that pure boron powder contains grains of two different types, the previously identified β-B containing a number of randomly spaced twins and what appears to be a fully transformed twinlike structure. This fully transformed structure, denoted here as τ-B, is based on the Cmcm orthorhombic space group. Quantum mechanics predicts that the newly identified τ-B structure is 13.8 meV/B more stable than β-B. The τ-B structure allows 6% more charge transfer from B_{57} units to nearby B_{12} units, making the net charge 6% closer to the ideal expected from Wade's rules. Thus, we predict the τ-B structure to be the ground state structure for elemental boron at atmospheric pressure.
Related Concept Videos
Exceptions to the Octet Rule
Hybridization of Atomic Orbitals I
Ionic Crystal Structures
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
VSEPR Theory and the Basic Shapes
Imperfections in Crystal Structure: Stoichiometric Point Defects
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...

