Modeling Nanostructure in Graphene Oxide: Inhomogeneity and the Percolation Threshold

Graphene oxide (GO) is an amorphous 2D material, which has found widespread use in the fields of chemistry, physics, and materials science due to its similarity to graphene with the benefit of being far easier to synthesize and process. However, the standard of GO characterization is very poor because its structure is irregular, being sensitive to the preparation method, and it has a propensity to transform due to its reactive nature. Atomistic simulations of GO are common, but the nanostructure in these simulations is often based on little evidence or thought. We have written a computer program to generate graphene oxide nanostructures for general purpose atomistic simulation based on theoretical and experimental evidence. The structures generated offer a significant improvement to the current standard of randomly placed oxidized functional groups and successfully recreate the two-phase nature of oxidized and unoxidized graphene domains observed in microscopy experiments. Using this model, we reveal new features of GO structure and predict that a critical point in the oxidation reaction exists as the oxidized region reaches a percolation threshold. Even by a conservative estimate, we show that, if the carbon to oxygen ratio is kept above 6, a continuous aromatic network will remain, preserving many of graphene’s desirable properties, irrespective of the oxidation method or the size distribution of graphene sheets. This is an experimentally achievable degree of oxidation and should aid better GO synthesis for many applications.

[1]  W. S. Hummers,et al.  Preparation of Graphitic Oxide , 1958 .

[2]  M. Trömel,et al.  Dimanganheptoxid zur selektiven Oxidation organischer Substrate , 1987 .

[3]  Jacek Klinowski,et al.  Structure of Graphite Oxide Revisited , 1998 .

[4]  J. Quintanilla,et al.  Efficient measurement of the percolation threshold for fully penetrable discs , 2000 .

[5]  J. Quintanilla Measurement of the percolation threshold for fully penetrable disks of different radii. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Dongmin Chen,et al.  Synthesis and Solid-State NMR Structural Characterization of 13C-Labeled Graphite Oxide , 2008, Science.

[7]  B. K. Mishra,et al.  Oxidation by permanganate: synthetic and mechanistic aspects , 2009 .

[8]  S. Saxena,et al.  Investigation of the Local Structure of Graphene Oxide , 2010 .

[9]  W. Lu,et al.  Improved synthesis of graphene oxide. , 2010, ACS nano.

[10]  Rolf Erni,et al.  Determination of the Local Chemical Structure of Graphene Oxide and Reduced Graphene Oxide , 2010, Advanced materials.

[11]  Yong-Wei Zhang,et al.  A molecular dynamics study of the mechanical properties of hydrogen functionalized graphene , 2010 .

[12]  R. Ruoff,et al.  The chemistry of graphene oxide. , 2010, Chemical Society reviews.

[13]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[14]  Klaus Kern,et al.  Electronic properties and atomic structure of graphene oxide membranes , 2011 .

[15]  Cristopher Moore,et al.  Continuum Percolation Thresholds in Two Dimensions , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Michael S Strano,et al.  Understanding the pH-dependent behavior of graphene oxide aqueous solutions: a comparative experimental and molecular dynamics simulation study. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[17]  Da Chen,et al.  Graphene oxide: preparation, functionalization, and electrochemical applications. , 2012, Chemical reviews.

[18]  Bengt Fadeel,et al.  Classification framework for graphene-based materials. , 2014, Angewandte Chemie.

[19]  Haiping Fang,et al.  High correlation between oxidation loci on graphene oxide. , 2014, Angewandte Chemie.

[20]  Xiaoning Yang,et al.  Water Permeation and Ion Rejection in Layer-by-Layer Stacked Graphene Oxide Nanochannels: A Molecular Dynamics Simulation , 2016 .