Defects in bilayer silica and graphene: common trends in diverse hexagonal two-dimensional systems

By combining first-principles and classical force field calculations with aberration-corrected high-resolution transmission electron microscopy experiments, we study the morphology and energetics of point and extended defects in hexagonal bilayer silica and make comparison to graphene, another two-dimensional (2D) system with hexagonal symmetry. We show that the motifs of isolated point defects in these 2D structures with otherwise very different properties are similar, and include Stone-Wales-type defects formed by structural unit rotations, flower defects and reconstructed double vacancies. The morphology and energetics of extended defects, such as grain boundaries have much in common as well. As both sp2-hybridised carbon and bilayer silica can also form amorphous structures, our results indicate that the morphology of imperfect 2D honeycomb lattices is largely governed by the underlying symmetry of the lattice.

[1]  L. Carr,et al.  Nanoengineering defect structures on graphene. , 2007, Physical review letters.

[2]  Hafner,et al.  Ab initio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium. , 1994, Physical review. B, Condensed matter.

[3]  Jannik C. Meyer,et al.  Accurate measurement of electron beam induced displacement cross sections for single-layer graphene. , 2012, Physical review letters.

[4]  M. Sierka,et al.  Growth and structure of crystalline silica sheet on Ru(0001). , 2010, Physical review letters.

[5]  C. Jin,et al.  Fabrication of a freestanding boron nitride single layer and its defect assignments. , 2009, Physical review letters.

[6]  M. Sierka,et al.  Atomic structure of a thin silica film on a Mo(112) substrate: a two-dimensional network of SiO4 tetrahedra. , 2005, Physical review letters.

[7]  Olle Eriksson,et al.  Two-Dimensional Materials from Data Filtering and Ab Initio Calculations , 2013 .

[8]  A. Krasheninnikov,et al.  Structural defects in graphene. , 2011, ACS nano.

[9]  Alexander A Alemi,et al.  Imaging Atomic Rearrangements in Two-Dimensional Silica Glass: Watching Silica’s Dance , 2013, Science.

[10]  Kai Nordlund,et al.  Molecular dynamics simulation of ion ranges in the 1–100 keV energy range , 1995 .

[11]  A. Krasheninnikov,et al.  Atom-by-atom observation of grain boundary migration in graphene. , 2012, Nano letters.

[12]  E. Cockayne Graphing and grafting graphene: Classifying finite topological defects , 2011, 1106.6273.

[13]  Christian Kisielowski,et al.  Atomically thin hexagonal boron nitride probed by ultrahigh-resolution transmission electron microscopy , 2009 .

[14]  M. Nardelli,et al.  Brittle and Ductile Behavior in Carbon Nanotubes , 1998 .

[15]  A. Krasheninnikov,et al.  In situ growth of cellular two-dimensional silicon oxide on metal substrates. , 2013, ACS nano.

[16]  C. Wang,et al.  Diffusion, coalescence, and reconstruction of vacancy defects in graphene layers. , 2005, Physical review letters.

[17]  Iwao Ohdomari,et al.  Novel Interatomic Potential Energy Function for Si, O Mixed Systems , 1999 .

[18]  Robert Hovden,et al.  Direct imaging of a two-dimensional silica glass on graphene. , 2012, Nano letters.

[19]  U. Kaiser,et al.  Atomic scale study of the life cycle of a dislocation in graphene from birth to annihilation , 2013, Nature Communications.

[20]  Patrick Vogt,et al.  Silicene: compelling experimental evidence for graphenelike two-dimensional silicon. , 2012, Physical review letters.

[21]  M F Crommie,et al.  Direct imaging of lattice atoms and topological defects in graphene membranes. , 2008, Nano letters.

[22]  W. Read,et al.  Dislocation Models of Crystal Grain Boundaries , 1950 .

[23]  J. Crain,et al.  Grain boundary loops in graphene , 2010, 1008.3574.

[24]  Hernandez,et al.  New metallic allotropes of planar and tubular carbon , 2000, Physical review letters.

[25]  A. Krasheninnikov,et al.  Stone-Wales-type transformations in carbon nanostructures driven by electron irradiation , 2011, 1105.1617.

[26]  Andre K. Geim,et al.  Two-dimensional atomic crystals. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Xiaolong Zou,et al.  Predicting dislocations and grain boundaries in two-dimensional metal-disulfides from the first principles. , 2013, Nano letters.

[28]  Yeliang Wang,et al.  Two-dimensional transition metal honeycomb realized: Hf on Ir(111). , 2013, Nano letters.

[29]  A. Krasheninnikov,et al.  Electron knock-on damage in hexagonal boron nitride monolayers , 2010 .

[30]  Simon Kurasch,et al.  Two-dimensional transition metal dichalcogenides under electron irradiation: defect production and doping. , 2012, Physical review letters.

[31]  Timothy C. Berkelbach,et al.  Grains and grain boundaries in highly crystalline monolayer molybdenum disulphide. , 2013, Nature Materials.

[32]  Can Ataca,et al.  Stable, Single-Layer MX2 Transition-Metal Oxides and Dichalcogenides in a Honeycomb-Like Structure , 2012 .

[33]  G. Kresse,et al.  From ultrasoft pseudopotentials to the projector augmented-wave method , 1999 .

[34]  Patterned defect structures predicted for graphene are observed on single-layer silica films. , 2013, Nano letters.

[35]  Zhenwei Zhang,et al.  density functional theory calculations , 2022 .

[36]  L. Barreto,et al.  Transfer-free electrical insulation of epitaxial graphene from its metal substrate. , 2012, Nano letters.

[37]  D. Wales,et al.  Theoretical studies of icosahedral C60 and some related species , 1986 .

[38]  A. Bleloch,et al.  Free-standing graphene at atomic resolution. , 2008, Nature nanotechnology.

[39]  E. Artacho,et al.  Knock-on damage in bilayer graphene: Indications for a catalytic pathway , 2013, 1309.7346.

[40]  Qing Hua Wang,et al.  Electronics and optoelectronics of two-dimensional transition metal dichalcogenides. , 2012, Nature nanotechnology.

[41]  Zhibin Lin,et al.  Two-dimensional carbon semiconductor: Density functional theory calculations , 2010 .

[42]  Xiaolong Zou,et al.  Dislocations and grain boundaries in two-dimensional boron nitride. , 2012, ACS nano.

[43]  G. Kresse,et al.  Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set , 1996 .

[44]  Blöchl,et al.  Projector augmented-wave method. , 1994, Physical review. B, Condensed matter.

[45]  M. Sierka,et al.  The atomic structure of a metal-supported vitreous thin silica film. , 2012, Angewandte Chemie.

[46]  Steven G. Louie,et al.  Topological defects in graphene: Dislocations and grain boundaries , 2010, 1004.2031.

[47]  Siegfried Schmauder,et al.  Comput. Mater. Sci. , 1998 .

[48]  Jannik C. Meyer,et al.  From point defects in graphene to two-dimensional amorphous carbon. , 2011, Physical review letters.

[49]  Jun Lou,et al.  Vapour phase growth and grain boundary structure of molybdenum disulphide atomic layers. , 2013, Nature materials.

[50]  H. Freund,et al.  Ultrathin Silica Films on Metals: The Long and Winding Road to Understanding the Atomic Structure , 2013, Advanced materials.