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Elastic properties of hydrogenated graphene

Published 25 Oct 2010 in cond-mat.mes-hall | (1010.5186v1)

Abstract: There exist three conformers of hydrogenated graphene, referred to as chair-, boat-, or washboard-graphane. These systems have a perfect two-dimensional periodicity mapped onto the graphene scaffold, but they are characterized by a $sp3$ orbital hybridization, have different crystal symmetry, and otherwise behave upon loading. By first principles calculations we determine their structural and phonon properties, as well as we establish their relative stability. Through continuum elasticity we define a simulation protocol addressed to measure by a computer experiment their linear and nonlinear elastic moduli and we actually compute them by first principles. We argue that all graphane conformers respond to any arbitrarily-oriented extention with a much smaller lateral contraction than the one calculated for graphene. Furthermore, we provide evidence that boat-graphane has a small and negative Poisson ratio along the armchair and zigzag principal directions of the carbon honeycomb lattice (axially auxetic elastic behavior). Moreover, we show that chair-graphane admits both softening and hardening hyperelasticity, depending on the direction of applied load.

Citations (380)

Summary

  • The paper demonstrates that distinct hydrogenation patterns in graphane produce specific elastic behaviors among chair, boat, and washboard conformers.
  • It shows that the chair conformer is isotropic, while boat and washboard exhibit anisotropic responses, including axially auxetic behavior in the boat form.
  • The study combines linear and nonlinear elasticity analyses to provide insights for tailoring graphane in applications like flexible electronics.

Elastic Properties of Hydrogenated Graphene

The study of the elastic properties of hydrogenated graphene, known as graphane, provides insights into how varying hydrogenation patterns affect the mechanical behavior of two-dimensional carbon materials. This paper explores three distinct conformers of graphane, namely chair, boat, and washboard, focusing on their structural, phonon, and elastic properties using first principles calculations.

Structural Characteristics and Stability

Graphane, when hydrogen atoms bind in different configurations to the graphene lattice, exhibits sp³ hybridization. The conformers vary based on how hydrogen atoms decorate the carbon scaffold, affecting their structural parameters and stability. The chair conformer (C-graphane) is the most energetically favorable, while boat and washboard conformers display different buckling, leading to distinctive mechanical behaviors. The phonon dispersion analysis confirms the stability of each conformer, showing no negative frequencies that typically indicate instability.

Linear and Nonlinear Elastic Properties

The paper elucidates the anisotropic and isotropic elastic properties stemming from the respective symmetries of the graphane conformers. In terms of linear elasticity, the authors report significant differences in the elastic constants among the conformers. The investigation shows that the chair conformer behaves isotropically, while boat and washboard conformers exhibit orthorhombic symmetry, leading to elastic anisotropy.

Essentially, the study finds that hydrogenation reduces lateral contraction in graphane compared to graphene, as demonstrated by notably lower Poisson ratios. Notably, the boat conformer exhibits a slightly negative Poisson ratio along principal directions, classifying it as axially auxetic. This property implies potential applications in materials requiring low or negative lateral responses to extension.

Beyond linear behavior, the paper explores the nonlinear elastic regime, identifying that C-graphane shows directionally dependent nonlinear elasticity, which combines both softening and hardening characteristics. Conversely, boat and washboard graphane conformers exhibit global nonlinear elastic softening, a departure from the behavior observed in pristine graphene.

Implications and Future Work

The nuanced differences in mechanical properties demonstrated among the graphane conformers suggest potential for tailoring materials with specific elastic characteristics through controlled hydrogenation. This expands the versatility of graphane in various nanotechnological applications, such as flexible electronics, where control over mechanical responses is vital.

The direction-dependent nonlinear properties in particular invite further exploration into the mechanistic origins of these phenomena. Understanding how hydrogen-induced anisotropy influences elasticity at atomic levels could lead to the innovation of new materials with custom mechanical behaviors.

Future research could focus on the experimental synthesis of different graphane conformers to validate the theoretical predictions outlined in this study. Additionally, exploring the electronic properties in relation to mechanical attributes could unlock new multifunctional material paradigms, advancing the boundaries of two-dimensional nanomaterials.

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