2011
DOI: 10.1016/j.carbon.2011.01.063
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Structure, energy, and structural transformations of graphene grain boundaries from atomistic simulations

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Cited by 144 publications
(145 citation statements)
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“…This has been investigated theoretically using density functional theory 36 and empirical force fields 37,58,59 . Figure 2a shows the computed GB energies γ for a number of symmetric periodic configurations characterized by different values of misorientation angle θ (ref.…”
Section: Grain Boundary Energies and Out-of-plane Deformationsmentioning
confidence: 99%
“…This has been investigated theoretically using density functional theory 36 and empirical force fields 37,58,59 . Figure 2a shows the computed GB energies γ for a number of symmetric periodic configurations characterized by different values of misorientation angle θ (ref.…”
Section: Grain Boundary Energies and Out-of-plane Deformationsmentioning
confidence: 99%
“…32,33) By relaxing into the third dimension, a two-dimensional sheet can exchange in-plane elastic energy for bending energy. Calculations using Molecular dynamics, 34,35) ab initio 36) and continuum theory 37) have predicted that such behaviour can occur at dislocations and grain boundaries. Furthermore, there is experimental evidence for buckling of graphene from atomic force microscopy, 38) scanning tunnelling microscopy 39) and high resolution TEM.…”
Section: Atomistic Origins Of Radiation-induced Stressmentioning
confidence: 99%
“…This can be readily illustrated by considering a plain sheet of paper: try to compress it in the in-plane direction or perhaps pinch it in the center, and it will most certainly not get smaller, but will rather buckle. The importance of three-dimensional (3D) buckling in strained 2D materials has been pointed out earlier [10][11][12][13][14][15][16] . However, as accounting for 3D out-of-plane deformations significantly complicates calculations 12 , such deformations have either been omitted in theoretical studies, or the studied systems have been too small to describe the long-range corrugations 9,[17][18][19][20][21][22][23] .…”
mentioning
confidence: 98%