Quasi-aperiodic grain boundary phases of Σ5 tilt grain boundaries in refractory metals

Abstract: We report new quasi-aperiodic, ground-state structures and phase transitions in $\Sigma5$ tilt grain boundaries (GBs) in body-centered cubic (BCC) refractory metals Nb, Ta, Mo, and W. $\Sigma5$ tilt GBs have been extensively investigated over the past several decades, with their ground-state structure -- composed of kite-shaped structural units -- previously thought to be well understood. By performing a rigorous GB structure search that optimizes the number of atoms in the boundary core, we predict new quasi-aperiodic "split kite" phases analogous to those previously found in GBs in face-centered cubic metals. Our results suggest that complex aperiodic phases of GBs appear to be a general phenomenon. Density functional theory calculations yield similar GB energies and structures for kite and split kite phases in all BCC metals studied. Phase-contrast image simulations of split kites show better agreement with experimental observations, offering an alternative explanation for previous microscopy results and motivating future atomically resolved imaging of the GB structure.