US20190047866A1 - Methods of controllably forming bernal-stacked graphene layers - Google Patents

Methods of controllably forming bernal-stacked graphene layers Download PDF

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US20190047866A1
US20190047866A1 US16/054,611 US201816054611A US2019047866A1 US 20190047866 A1 US20190047866 A1 US 20190047866A1 US 201816054611 A US201816054611 A US 201816054611A US 2019047866 A1 US2019047866 A1 US 2019047866A1
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bernal
graphene
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James M. Tour
Zhengzong Sun
Abdul-Rahman O. Raji
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William Marsh Rice University
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    • CCHEMISTRY; METALLURGY
    • C01INORGANIC CHEMISTRY
    • C01BNON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B32/00Carbon; Compounds thereof
    • C01B32/15Nano-sized carbon materials
    • C01B32/182Graphene
    • C01B32/184Preparation
    • C01B32/186Preparation by chemical vapour deposition [CVD]
    • CCHEMISTRY; METALLURGY
    • C01INORGANIC CHEMISTRY
    • C01BNON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B2204/00Structure or properties of graphene
    • C01B2204/04Specific amount of layers or specific thickness
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T156/00Adhesive bonding and miscellaneous chemical manufacture
    • Y10T156/10Methods of surface bonding and/or assembly therefor
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y10TECHNICAL SUBJECTS COVERED BY FORMER USPC
    • Y10TTECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
    • Y10T428/00Stock material or miscellaneous articles
    • Y10T428/30Self-sustaining carbon mass or layer with impregnant or other layer

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  • the present disclosure pertains to methods of forming Bernal-stacked graphene layers.
  • the methods comprise: (1) cleaning a surface of a catalyst; (2) annealing the surface of the catalyst; (3) applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber; and (4) growing the Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber.
  • Further embodiments of the present disclosure also include steps of: (5) terminating the growing step; and (6) transferring the formed Bernal-stacked graphene layers from the surface of the catalyst onto a substrate.
  • the reaction chamber may be placed under a stream of a reductive gas (e.g., hydrogen) during the applying and growing steps.
  • a reductive gas e.g., hydrogen
  • the reductive gas has a pressure ranging from about 5 Torr to about 800 Torr in the reaction chamber.
  • the catalyst is a copper foil. In some embodiments, the catalyst has a surface area ranging from about 1 cm 2 to about 10 m 2 .
  • the carbon source is a hydrocarbon, such as methane.
  • the applying of the carbon source onto a surface of the catalyst occurs by chemical vapor deposition.
  • the carbon source has a pressure ranging from about 0.2 Torr to about 30 Torr in the reaction chamber.
  • the growing of the Bernal-stacked graphene layers occurs at temperatures of at least about 1,000° C. In some embodiments, the growing occurs while the reaction chamber has a total pressure ranging from about 5 Torr to about 800 Torr. In some embodiments, the growing occurs for less than about 15 minutes. In some embodiments, the growing occurs from multiple growth centers, where the growth centers comprise multilayer graphene seeds, where the growth centers grow laterally and epitaxially, and where the growth centers merge seamlessly to form Bernal-stacked graphene layers.
  • the methods of the present disclosure also include a step of controlling the number of formed Bernal-stacked grapheme layers, where the controlling comprises adjusting one or more growth parameters.
  • the one or more growth parameters are selected from the group consisting of total pressure of the reaction chamber, pressure of the carbon source in the reaction chamber, pressure of a reductive gas in the reaction chamber, a reductive gas flow rate in the reaction chamber, growth temperature, growth time, and a cooling rate of the surface of the catalyst after the growing step.
  • the formed Bernal-stacked graphene layers have from 2 to 10 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have more than 10 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers are in polycrystalline form. In some embodiments, the Bernal-stacked graphene layers have domain sizes ranging from about 1 ⁇ m to about 5 ⁇ m. In some embodiments, the Bernal-stacked graphene layers are uniform in structure.
  • Bernal-stacked graphene films that comprise a plurality of Bernal-stacked graphene layers.
  • the Bernal-stacked graphene layers are uniform in structure.
  • the Bernal-stacked graphene layers are in polycrystalline form.
  • FIG. 1 provides a scheme of a method for making Bernal-stacked graphene layers.
  • FIG. 2 provides schemes and data relating to the growth of Bernal-stacked graphene layers.
  • FIG. 2A is a scheme of a CVD growth chamber where a needle valve is placed downstream between a quartz tube and a vacuum pump to control the total pressure of CH 4 and H 2 . The ratio of the two gases is controlled using mass flow controllers at the source of each gas.
  • the growth chamber is placed in a furnace heated at 1,000° C.
  • the inset is the partial pressure of CH 4 correlated to the thickness of the graphene layers.
  • the ratio between partial pressure of H 2 (P H2 ) and CH 4 (P CH4 ) in this system was set by fixing the flow rates.
  • FIG. 2B shows a Raman evolution of graphene grown under increased CH 4 partial pressure (514 nm laser).
  • FIG. 2C shows the 2D peak position of the Raman spectra in FIG. 2B .
  • FIG. 3 shows optical photographs of graphene films transferred onto quartz substrates ( ⁇ 0.67 in 2 ).
  • the arrow begins at the monolayer graphene Sample 1 and ends at the multilayer graphene Sample 10 (as summarized in Table 2 in Example 1).
  • the CH 4 partial pressure increases from 0.2 Torr to 12.8 Torr (as also summarized in Table 2 in Example 1).
  • FIG. 4 shows Raman spectra of monolayer graphene and non-Bernal-stacked bi-, tri-, and tetralayer graphene with 514 nm excitation.
  • monolayer samples grown at CH 4 partial pressure of 0.2 Torr (Sample 1, Table 2) were transferred layer-by-layer onto a quartz surface (a PMMA-protected graphene layer was transferred onto the quartz surface and the PMMA was removed with acetone and rinsed with isopropanol; this process was repeated for multiple layers). No annealing was performed before the Raman characterization.
  • FIG. 5 shows the fitted Raman 2D band of bi-layer ( FIG. 5A ), tri-layer ( FIG. 5B ), and tetralayer ( FIG. 5C ) graphene with full width at half maximum values (FWHMs) of 69, 71 and 72 cm ⁇ 1 , respectively.
  • FIG. 6 shows selected area electron diffraction (SAED) patterns and transmission electron microscopy (TEM) images of bi-, tri-, and tetralayer graphene.
  • FIGS. 6A-C show representative SAED patterns from bi-, tri-, and tetralayer graphene samples, respectively.
  • FIGS. 6D-F show the intensity profile from the SAED patterns in FIGS. 6A-C , respectively.
  • FIGS. 6G-I show high resolution TEM (HRTEM) of randomly chosen representative edges of bi-, tri-, and tetralayer graphene that shows two, three, or four layers of carbon, respectively.
  • the scale bars in FIGS. 6G-I are 5 nm.
  • FIG. 7 shows SAED ( FIGS. 7A-B ) and HRTEM ( FIG. 7C ) edge characterization of monolayer graphene.
  • FIG. 8 shows spectroscopic characterization of Bernal bi-, tri-, and tetralayer graphene films.
  • FIG. 8A shows the transmittance of bi-, tri-, and tetralayer graphene films obtained with visible-absorption spectroscopy on quartz substrates. The transmittance of graphene was measured at 550 nm. n L signifies the number of graphene layers.
  • FIG. 8B shows an optical image of a trilayer graphene on 2.5 ⁇ 2.5 cm 2 quartz that indicates the uniformity of the film.
  • the I G /I 2D Raman mapping of bilayer ( FIG. 8C ), trilayer ( FIG. 8D ) and tetralayer graphene ( FIG. 8E ) are also shown.
  • FIG. 9 shows the Raman mapping of monolayer graphene (Sample 1, Table 2).
  • FIG. 10 shows the FWHM of 2D band mapping ( FIG. 10A ) and histogram ( FIG. 10B ) of a bilayer graphene film.
  • FIG. 11 shows electrical measurements of Bernal-stacked bilayer graphene.
  • FIG. 11B shows a cross-sectional view of the bilayer graphene device.
  • FIG. 11C shows graphene electrical conductance as a function of top gate voltage V t at different fixed bottom gate voltages V b . The measurements were taken from ⁇ 40 V to 40 V in V b , with 20 V steps at 77 K.
  • FIG. 12 shows room temperature Bernal bilayer graphene device mobility.
  • FIG. 13 shows a characterization of the graphene film sample as used in FIG. 8C .
  • FIG. 13A shows SEM image of bilayer graphene grown for 15 min.
  • the scale bar is 1 mm.
  • the I G /I 2D Raman spectral map ( FIG. 13B ) and the Raman spectrum ( FIG. 13C ) of bilayer graphene grown for 15 min are also shown.
  • FIG. 14 shows another characterization of the graphene film sample as used in FIG. 8C .
  • FIG. 14A shows SEM image of bilayer graphene grown for 30 min. The scale bar is 1 mm.
  • the I G /I 2D Raman spectral map ( FIG. 14B ) and the Raman spectrum ( FIG. 14C ) of bilayer graphene grown for 30 min are also shown. There was no change in thickness noted with the increased growth time.
  • FIG. 15 shows additional data related to bilayer graphene growth.
  • FIG. 15A shows SEM image of graphene grown under monolayer conditions (15 min) followed by bilayers growth conditions (15 min). The scale bar is 1 mm. Also shown are the I G /I 2D Raman spectral map ( FIG. 15B ) and Raman spectrum ( FIG. 15C ) of graphene grown under monolayer conditions for 15 min and then bilayer conditions for another 15 min. There was no thickness change observed after the monolayer was obtained.
  • FIG. 16 provides proposed growth-mechanisms for Bernal-stacked graphene layers.
  • graphene seeds form when the surface carbon in Cu is supersaturated.
  • Higher CH 4 partial pressure deposits thicker graphene seeds.
  • the thickness of the graphene is pre-defined by these seeds, which grow epitaxially along the Cu surface (top).
  • the graphene seeds grow independently and form graphene single-crystalline islands (middle) before they meet with each other. When graphene islands meet, they form domains and grain boundaries (bottom) and the growth stops. No additional graphene layer would be able to grow on the fully covered Cu surface.
  • FIG. 17 provides data and images of bilayer graphene seeds.
  • FIGS. 17A-B are different magnification SEM images of bilayer graphene seeds and islands after 2 min growth atop pre-polished and annealed Cu.
  • the red arrow in FIG. 17B points to a graphene seed.
  • This graphene seed is surrounded with graphene islands, which range from 100 nm to several ⁇ m in size (here, seeds are simply small islands).
  • the scale bars in FIGS. 17A-B are 1 ⁇ m.
  • FIG. 17C is a representative Raman spectrum of these bilayer graphene seeds and islands, which shows the same signature as its final bilayer film. Out of 10 random areas studied, 8 areas were bilayer while one area was monolayer and another was trilayer. This indicates that the seeds were mainly bilayer.
  • FIG. 18 is an SEM image of a graphite film with graphene thickness over 10 layers (Sample 11, Table 2). Scale bar is 5 nm.
  • Graphene films with Bernal-stacked graphene layers are of particular interest due to their unique and tunable electronic structures. For instance, a synthetic method to produce such graphene films with precise and controllable thicknesses would be desirable for chemists and physicists to explore the promising electronic applications of these materials.
  • chemists and physicists to explore the promising electronic applications of these materials.
  • most of the approaches for making Bernal-stacked graphene layers were based on micron-sized multilayer exfoliated graphene flakes, requiring a tedious process that is difficult to scale. As such, a need exists for more effective, controllable and scalable methods of making Bernal-stacked graphene layers.
  • Various embodiments of the present disclosure address this need.
  • the present disclosure pertains to methods of forming Bernal-stacked graphene layers. Further embodiments of the present disclosure pertain to Bernal-stacked graphene films that comprise a plurality of Bernal-stacked graphene layers.
  • the present disclosure pertains to methods of forming Bernal-stacked graphene layers.
  • the methods of the present disclosure include one or more of the following steps: cleaning a surface of a catalyst (step 10 ); annealing the surface of the catalyst (step 12 ); applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber (step 14 ); and growing Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber (step 16 ).
  • the methods of the present disclosure also include one or more steps of: terminating the growth of the Bernal-stacked graphene layers (step 18 ) and transferring the formed Bernal-stacked graphene layers from the catalyst surface to a substrate (step 20 ).
  • the methods of the present disclosure can have numerous embodiments and variations.
  • various catalysts, carbon sources, and reaction conditions may be utilized to form various types of Bernal-stacked graphene layers in a scalable and controllable manner.
  • the catalyst may include at least one of Ni, Co, Fe, Pt, Au, Al, Cr, Cu, Mg, Mn, Mo, Rh, Si, Ta, Ti, W, U, V Zr, mixtures thereof, foils thereof, vapor deposited metals thereof, and combinations thereof.
  • the catalysts may include reduced metal catalysts, oxidized metal catalysts, associated alloys of metal catalysts, and combinations thereof.
  • the catalyst is a copper foil.
  • the catalysts of the present disclosure may also have various purities. For instance, in some embodiments, the catalysts of the present disclosure may have a purity of at least about 75%. In some embodiments, the catalysts of the present disclosure may have a purity of at least about 95%. In some embodiments, the catalysts of the present disclosure may have a purity of at least about 99%. In more specific embodiments, the catalyst is a copper foil with a purity above 99%.
  • the catalysts of the present disclosure may also be in various crystalline forms.
  • the catalysts of the present disclosure may be in monocrystalline form.
  • the catalysts of the present disclosure may be in polycrystalline form.
  • the catalysts of the present disclosure include polycrystalline copper foils.
  • the catalysts of the present disclosure may also have various shapes. For instance, in some embodiments, the catalysts of the present disclosure may be in the form of squares, rectangles, cylinders, circles, and the like. In some embodiments, the catalysts of the present disclosure may have at least one surface. In some embodiments, the catalysts of the present disclosure may have multiple surfaces.
  • the catalysts of the present disclosure may also various surface areas.
  • the catalysts of the present disclosure have a surface area ranging from about 1 cm 2 to about 10 m 2 .
  • the catalysts of the present disclosure have a surface area of about 1 inch 2 .
  • various methods may be utilized to clean and anneal catalyst surfaces.
  • such treatments can minimize carbon source contamination on a catalyst surface and thereby facilitate the growth of Bernal-stacked graphene layers on the catalyst surface.
  • catalyst surfaces may be cleaned by treatment with one or more acids.
  • the one or more acids may include sulfuric acid, nitric acid, hydrochloric acid, acetic acid, diluted acids, and combinations thereof.
  • the cleaning of the catalyst surface may include electrochemical-polishing of the surface of the catalyst.
  • the electrochemical-polishing may include applying a voltage to the catalyst surface and polishing the catalyst surface for a certain amount of time.
  • electrochemical polishing may include applying a voltage of about 0.5 V or higher to the surface of the catalyst, and polishing the surface of the catalyst for about 10 seconds or longer.
  • the cleaning of catalyst surfaces may occur by mechanical polishing. Additional methods of cleaning catalyst surfaces can also be envisioned.
  • the annealing of catalyst surfaces includes thermal annealing.
  • thermal annealing includes exposure of a catalyst surface to temperatures of about 500° C. or higher.
  • thermal annealing includes exposure of a catalyst surface to temperatures of at least about 1,000° C.
  • the annealing of catalyst surfaces may occur at various pressures. For instance, in some embodiments, the annealing of catalyst surfaces may occur at pressures that range from about 1 mTorr to about 1500 Torr. In some embodiments, the annealing of catalyst surfaces may occur at pressures that range from about 5 Torr to about 800 Torr. In some embodiments, the annealing of catalyst surfaces occurs at pressures of about 1000 Torr or higher. In some embodiments, the annealing of catalyst surfaces occurs at pressures at or above 1500 Torr.
  • the annealing of catalyst surfaces may occur in a reductive environment.
  • the annealing of catalyst surfaces may occur under a stream of a reductive gas, such as hydrogen.
  • the annealing of catalyst surfaces may occur under a stream of a reductive gas at a flow rate of about 10-1000 standard cubic cm per minute (sccm).
  • the annealing of catalyst surfaces occurs under a stream of hydrogen gas at a flow rate of about 10 sccm.
  • the annealing of catalyst surfaces may also occur for various time periods. In some embodiments, the annealing of catalyst surfaces may last from about 1 minute to about 10 hours. In some embodiments, the annealing of catalyst surfaces may last for about 7 hours.
  • the annealing of catalyst surfaces can involve exposure of a surface of a catalyst to a temperature of at least about 1000° C. and a pressure of at least about 1 mT for more than about 1 minute.
  • the annealing temperature is at least about 1000° C.
  • the annealing pressure is at least about 5 Torr
  • the annealing time is at least about 7 hours.
  • the annealing of catalyst surfaces may occur under inert conditions, such as under a stream of one or more inert gases.
  • the one or more inert gases may include, without limitation, argon, nitrogen, and combinations thereof.
  • the annealing of catalyst surfaces may occur under inert and reductive conditions.
  • the annealing of catalyst surfaces may occur under streams of one or more inert gases (e.g., Ar, N 2 , etc.) and one or more reductive gases (e.g., H 2 ). Additional methods of annealing catalyst surfaces can also be envisioned.
  • carbon sources are applied onto catalyst surfaces by spin-coating, drop-casting, spray coating, dip coating, physical application, vapor-coating, sublimation, blading, inkjet printing, screen printing, direct placement, thermal evaporation, chemical vapor deposition, and combinations thereof.
  • carbon sources are applied onto catalyst surfaces by chemical vapor deposition (CVD).
  • the carbon sources may include at least one of hydrocarbons, polymers, non-polymeric carbon sources, small molecules, organic compounds, fullerenes, fluorenes, carbon nanotubes, phenylene, ethylenes, sucrose, sugars, polysaccharides, carbohydrates, proteins, and combinations thereof.
  • the carbon sources may include polymers, such as poly(methyl methacrylate)s, polystyrenes, polyacrylonitriles, polycarbonates, poly(phenylene ethylene)s, cellulose, and combinations thereof.
  • the carbon sources that are applied to catalyst surfaces include hydrocarbons.
  • the hydrocarbons include, without limitation, CH 4 , C 2 H 4 , C 2 H 2 , and combinations thereof.
  • the hydrocarbons include methane.
  • the carbon source is filtered methane with a chemical purity grade of more than 99%.
  • the applying of the carbon source onto a catalyst includes the application of hydrocarbons to the catalyst surface by CVD.
  • carbon sources are applied to a cleaned and annealed surface of a catalyst in a gaseous state.
  • the carbon source is applied to a cleaned and annealed catalyst surface while the catalyst is in a reaction chamber.
  • the carbon source in the reaction chamber has a pressure ranging from about 0.2 Torr to about 30 Torr.
  • the carbon source in the reaction chamber has a flow rate that ranges from about 10 sccm to about 1,000 sccm. In more specific embodiments, the carbon source in the reaction chamber has a flow rate of about 10 sccm.
  • Bernal-stacked graphene layers on catalysts surfaces generally occurs during or after the application of a carbon source onto a catalyst surface.
  • Various methods may also be utilized to grow various types of Bernal-stacked graphene layers on catalyst surfaces.
  • various pressures, temperatures, growth times, and environmental conditions may be utilized to grow Bernal-stacked graphene layers on catalyst surfaces.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reductive environment.
  • the reductive environment may include a stream of a reductive gas, such as hydrogen.
  • the stream of the reductive gas may have a flow rate of about 10 sccm to about 1000 sccm.
  • growth of Bernal-stacked graphene layers on catalyst surfaces occurs under a stream of hydrogen gas at a flow rate of about 300 sccm.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces may also occur at various pressures.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces may occur in reaction chambers that have a total pressure that ranges from about 1 mTorr to about 1500 Torr.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reaction chamber that has a total pressure that ranges from about 5 Torr to about 800 Torr.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reaction chamber that has a total pressure of about 50 Torr.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces may also occur at various temperatures. For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs at temperatures of about 500° C. or higher. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs at temperatures of at least about 1000° C.
  • the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for various time periods. For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may last from about 1 minute to about 10 hours. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may last from about 2 minutes to about 15 minutes. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for less than about 15 minutes. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for about 2 minutes.
  • the methods of the present disclosure may occur in various reaction chambers.
  • the reaction chamber may be a tube, such as a fused quartz tube shown in FIG. 2A . Additional reaction chambers can also be envisioned.
  • the reaction chamber may be placed under a stream of a reductive gas.
  • the reductive gas is hydrogen.
  • the reductive gas in the reaction chamber has a flow rate ranging from about 10 sccm to about 1000 sccm.
  • the reductive gas in the reaction chamber has a flow rate of about 300 sccm.
  • the reductive gas in the reaction chamber has a pressure ranging from about 5 Torr to about 800 Torr.
  • the reaction chamber is placed under a stream of a reductive gas during the carbon source applying step, the growing step, or both.
  • various mechanisms may be utilized to grow the Bernal-stacked graphene layers of the present disclosure on catalyst surfaces.
  • the methods of the present disclosure may not utilize an independent homoexpitaxial layer-by-layer growth.
  • the methods of the present disclosure may utilize a simultaneous-seeding and self-limiting process to grow Bernal-stacked graphene layers.
  • the growing occurs from multiple growth centers.
  • the growth centers include multilayer graphene seeds.
  • the growth centers grow laterally and epitaxially and merge seamlessly to form the Bernal-stacked graphene layers of the present disclosure.
  • multilayer graphene seeds form when the carbon source on a surface of a catalyst is supersaturated.
  • higher carbon source pressure deposits thicker multilayer graphene seeds. The thickness of the graphene may then be pre-defined by these multilayer graphene seeds, which grow epitaxially along the surface of the catalyst.
  • the methods of the present disclosure also include a step of controlling the number of Bernal-stacked graphene layers by adjusting one or more growth parameters.
  • the one or more growth parameters may include at least one of total pressure of the reaction chamber, pressure of the carbon source in the reaction chamber, pressure of a reductive gas in the reaction chamber, a reductive gas flow rate in the reaction chamber, growth temperature, growth time, and a cooling rate of the surface of the catalyst after the growing step.
  • the one or more controllable growth parameters include a pressure of the carbon source in the reaction chamber.
  • an increase in the pressure of the carbon source increases the number of Bernal-stacked graphene layers, and a decrease in the pressure of the carbon source decreases the number of Bernal-stacked graphene layers.
  • the one or more controllable growth parameters include a pressure of a reductive gas in the reaction chamber.
  • an increase in the pressure of the reductive gas increases the number of Bernal-stacked graphene layers, and a decrease in the pressure of the reductive gas decreases the number of Bernal-stacked graphene layers.
  • the one or more controllable growth parameters include a total pressure of the reaction chamber.
  • an increase in the total pressure of the reaction chamber increases the number of Bernal-stacked graphene layers, and a decrease in the total pressure of the reaction chamber decreases the number of Bernal-stacked graphene layers.
  • the methods of the present disclosure also include a step of terminating the step of growing Bernal-stacked graphene layers.
  • Various methods may be utilized to terminate the growth of Bernal-stacked graphene layers.
  • the growth of Bernal-stacked graphene layers is terminated by cooling the surface of the catalyst.
  • the cooling occurs by moving the catalyst surface away from a heat source, such as a furnace.
  • the cooling occurs by exposing the catalyst surface to a stream of a reductive gas, such as hydrogen.
  • the methods of the present disclosure may also include a step of transferring the formed Bernal-stacked graphene layers from the surface of the catalyst onto a substrate, such as a SiO 2 /Si wafer.
  • a substrate such as a SiO 2 /Si wafer.
  • Various methods may be utilized to transfer Bernal-stacked graphene layers from the surface of the catalyst onto a substrate.
  • such methods may include, without limitation, thin layers protection, acid-etching, layers lift off, and combinations thereof.
  • the formed Bernal-stacked graphene layers have from 2 to 10 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers have from 2 to 4 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers have 2 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers have 3 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers have 4 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers have more than 10 Bernal-stacked graphene layers.
  • the formed Bernal-stacked graphene layers of the present disclosure may also be in various forms and sizes.
  • the formed Bernal-stacked graphene layers may be in polycrystalline form.
  • the formed Bernal-stacked graphene layers may have a uniform structure.
  • the formed Bernal-stacked graphene layers may have domain sizes ranging from about 1 ⁇ m to about 5 ⁇ m.
  • Bernal-stacked graphene films are formed by the methods of the present disclosure.
  • the Bernal-stacked graphene films of the present disclosure include a plurality of Bernal-stacked graphene layers.
  • the Bernal-stacked graphene layers are uniform in structure.
  • the Bernal-stacked graphene layers are in polycrystalline form.
  • the Bernal-stacked graphene layers have domain sizes ranging from about 1 ⁇ m to about 5 ⁇ m.
  • the Bernal-stacked graphene films of the present disclosure have from 2 to 10 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have from 2 to 4 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have 2 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have more than 10 Bernal-stacked graphene layers.
  • the present disclosure provides effective, scalable, and controllable methods of forming Bernal-stacked graphene layers that show distinct electronic band structures.
  • the methods of the present disclosure can provide effective methods for making graphene films for numerous applications, including physical and optoelectronic applications.
  • Applicants demonstrate consistent chemical vapor deposition (CVD) growth windows for large-area Bernal-stacked bi-, tri-, or tetralayer graphene on Cu surfaces.
  • parameters that could affect the thickness of graphene growth include the pressure in the system, gas flow rate, growth pressure (the partial pressure of both the growth gas and the carrier gas), growth temperature, and cooling rate.
  • CVD chemical vapor deposition
  • Table 1 provides a graphene growth summary from the literature. Some of the references reported the flow rates (sccm) of H 2 and CH 4 and the total growth pressure for the growth conditions. These have been converted into partial pressure.
  • a needle valve was installed between the CVD growth chamber (a quartz tube) and the vacuum pump to precisely control the gas flow rate and thus the total pressure of the CVD system.
  • the total pressure was carefully monitored with a pressure gauge connected to the growth chamber.
  • a monolayer graphene growth condition was set as the first data point in the series (Sample 1).
  • the growth reaction was maintained at 1000° C. for 15 min.
  • the flow rates of H 2 and CH 4 were 300 sccm and 10 ⁇ 1 sccm, respectively. The flow rates were kept the same throughout this series (Samples 1-12).
  • H 2 and CH 4 The ratio between H 2 and CH 4 was thus fixed, while the total pressure was tuned from 5.8 Torr to 740 Torr, ranging from low pressure growth to near-atmospheric pressure growth.
  • the partial pressures of H 2 (P H2 ) and CH 4 (P CH4 ) were calculated from the total system pressure.
  • the detailed growth parameter values are listed in Table 2. As the growth pressure increased, thicker graphene films grew on the Cu surfaces. Specifically, bi-, tri-, and tetralayer graphene films form when the P CH4 was 3.6, 5.2, and 9.6 Torr, respectively (inset of FIG. 2A ).
  • FIG. 2B displays the stacked Raman spectra as the P CH4 increased.
  • the G peak at ⁇ 1585 cm ⁇ 1 becomes more pronounced and the 2D peak at ⁇ 2700 cm ⁇ 1 broadens and blue shifts.
  • the 2D peak blue shift starts at 2690 cm ⁇ 1 for monolayer graphene and ends at ⁇ 2717 cm ⁇ 1 for >10-layer graphene, or graphite. This result is consistent with the results obtained from mechanically exfoliated Bernal graphene.
  • the Raman spectra of non-Bernal stacked graphene were also investigated by directly stacking monolayer CVD graphene films atop a SiO 2 surface without further annealing.
  • both the I 2D and I G increase as the thickness increases, while the relative ratio between the two peaks does not change, suggesting a relatively weak electronic interaction between graphene layers.
  • the deconvolution of the 2D peaks of bi-, tri-, and tetralayer graphene unveils more details, as shown in FIG. 5 .
  • the 2D peak of bilayer graphene can be fitted with 4 Lorentzian curves while the 2D peak in trilayer graphene can be fitted with 6 Lorentzian curves.
  • the line shape of the peak shows little asymmetry with no apparent shoulder, which suggests that the graphene films are dominated by Bernal (ABA) stacking order rather than rhombohedral (ABC) stacking order.
  • the tetralayer graphene's 2D peak can be fitted with 3 Lorentzian curves and its symmetrical line shape reveals its Bernal (ABAB) stacking signature.
  • the full width at half maximum values (FWHMs) of the 2D peaks are 62, 71 and 72 cm ⁇ 1 in bi-, tri-, and tetralayer graphene, respectively, which are significantly broader than the FWHM of monolayer graphene at 30 cm ⁇ 1 . All Raman spectra were acquired using a 514 nm laser at room temperature on SiO 2 /Si substrates.
  • SAED Selected area electron diffraction
  • HRTEM transmission electron microscopy
  • the monolayer graphene diffraction pattern has a (1-210)/(1-100) intensity ratio of ⁇ 0.87 ( FIG. 7 ).
  • the presence of the innermost diffraction spots (1-100) and the diffraction intensity ratio in FIG. 6 is quite different from the ABC stacking order, which should have an intensity ratio larger than 14 according to theoretical calculations. Without being bound by theory, the inner plane strain and small tilting angle from the imperfect wet-transfer method could affect the diffraction intensities.
  • the graphene films are Bernal (AB) stacked polycrystalline graphene with an average domain size of 1 to 5 ⁇ m. This result has the potential to be optimized into a single crystal using newly developed methods (Zhang et al., Nat. Mater. 2011, 10, 443-449).
  • edges were randomly chosen for imaging to confirm the thickness of the bi-, tri-, and tetralayer graphene samples.
  • the thickness of the graphene films was evaluated using visible spectroscopy in FIG. 8A .
  • the bi-, tri-, and tetralayer graphene films on quartz substrates exhibit transmittances of 95.4%, 93.0%, and 90.4%, respectively, in good agreement with predicted and reported values.
  • FIG. 8B shows no difference in contrast across the trilayer graphene film, providing evidence for the uniformity of the film.
  • Raman mapping at the 100 ⁇ 100 ⁇ m 2 scale confirms the thickness and uniformity of graphene films. In a typical monolayer graphene film, more than 95% of the graphene area has an I G /I 2D ratio ⁇ 0.5 ( FIG. 9 ). In FIG.
  • Dual-gate field effect transistors were built with a bilayer graphene film atop a SiO 2 /Si wafer ( FIG. 11 ).
  • the electrical measurements on the devices indicate that they have a tunable band structure with a biased electrical field perpendicular to the graphene basal plane.
  • the device hole mobility was as high as ⁇ 2200 cm 2 V ⁇ 1 s ⁇ 1 ( FIG. 12 ), which is considerably higher than the mobility for solution-exfoliated Bernal bilayer graphene.
  • the proposed growth-mechanism scheme is shown in FIG. 16 .
  • multilayer graphene seeds form when C atoms are supersaturated in the surface layers of the Cu.
  • a short time-growth (2 min) on pre-treated Cu surface was performed.
  • the Cu foil was pre-polished and annealed using the same method discussed elsewhere (Yan et al., Towards the Synthesis of Wafer-Scale Single-Crystal Graphene on Copper Foils, ACS Nano , in press).
  • the copper foil was then annealed for 10 min by sliding the holder containing the copper to the center of the furnace.
  • filtered methane chemical purity grade, 99.0%, Matheson
  • the copper foil was 25 ⁇ m thick and 99.8% grade, purchased from Alfa Aesar.
  • Graphene was formed on both sides of the Cu foil.
  • a poly(methyl methacrylate) (PMMA) solution (950 PMMA A 4, MicroChem) was spin-coated (at 2500 rpm for 1 min) on the top of the graphene-coated copper foil twice and baked at 70° C. for ⁇ 30 min in a vacuum oven or on a hot plate.
  • Marble's reagent was used as an aqueous etchant solution, comprising 15.6 g CuSO 4 .5H 2 O (Aldrich), 45 mL deionized H 2 O, and 50 mL conc. HCl (Aldrich).
  • the PMMA-graphene-Cu assembly was etched for a few min after which the Cu foil was removed from the Marble's reagent and dipped in water several times and wiped on a Kim wipe to completely remove the unprotected graphene on bottom of the Cu foil so that its residue did not merge with the top graphene.
  • the remaining Cu was etched, leaving the PMMA-protected graphene that had been on top of the Cu foil floating on the etchant.
  • the film was floated on deionized water and subsequently transferred onto a given substrate.
  • the protective PMMA was removed using acetone after the transferred graphene layer completely dried.
  • the graphene film was rinsed with 2-propanol, and gently blow-dried using N 2 .
  • TEM Transmission electron microscopy
  • JEOL 2100F field emission gun TEM 200 kV.
  • the diffraction patterns were obtained at 80,000 ⁇ with a zero degree tilt.
  • graphene films were transferred onto C-flat TEM grids (Electron Microscopy Sciences) in a method similar to the transfer method used for silicon oxide substrates.
  • the bilayer graphene sheet was transferred to p-Si substrates with 300 nm thermal oxide and patterned into a strip (5 ⁇ 20 ⁇ m) using ebeam lithography and reactive ion etching (RIE).
  • the source/drain electrodes (1 nm Ti/20 nm Au) were defined using ebeam lithography and ebeam evaporation.
  • top gate dielectrics (alumina, 70 nm) and top gate electrode (1 nm Ti/20 nm Au) were defined in series using ebeam lithography and ebeam evaporation.
  • the channel length was between 1 ⁇ m and 5 ⁇ m depending on the devices.
  • the dual-gate FET properties of the bilayer graphene devices were further characterized using a probe station (Desert Cryogenics TTPX-probe 6 system) under vacuum with chamber base pressure below 1 ⁇ 10 ⁇ 5 mm Hg.
  • the I-V data were collected using an Agilent 4155C semiconductor parameter analyzer.
  • the mobility was calculated using the following equation:
  • L and W are the channel length and width, C ox the gate oxide capacitance, V sd the source drain voltage, I sd the source drain current and V g the gate voltage.
  • the linear regime of the transfer characteristics was used to obtain ⁇ I sd / ⁇ V g .

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Abstract

Methods of controllably forming Bernal-stacked graphene layers are disclosed. In some embodiments, the methods comprise one or more of the following steps: (1) cleaning a surface of a catalyst; (2) annealing the surface of the catalyst; (3) applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber; and (4) growing the Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber, where the number of formed Bernal-stacked graphene layers is controllable as a function of one or more growth parameters, such as a total pressure of the reaction chamber. Further embodiments of the present disclosure also include steps of: (5) terminating the growing step; and (6) transferring the formed Bernal-stacked graphene layers from the surface of the catalyst onto a substrate.

Description

    CROSS-REFERENCE TO RELATED APPLICATIONS
  • This application is a continuation of U.S. Non-provisional patent application Ser. No. 14/104,588, filed on Dec. 12, 2013, which claims priority to U.S. Provisional Patent Application No. 61/736,249, filed on Dec. 12, 2012. The entirety of each of the aforementioned applications is incorporated herein by reference.
  • STATEMENT REGARDING FEDERALLY FUNDED RESEARCH
  • This invention was made with government support under Grant Nos. N00014-09-1-1066; FA9550-12-1-0035; and FA9550-09-1-0581, all awarded by the U.S. Department of Defense. The government has certain rights in the invention.
  • BACKGROUND
  • Current methods of making Bernal-stacked graphene layers suffer from numerous limitations, including scalability, uniformity, and the ability to control the number of formed Bernal-stacked graphene layers. Therefore, a need exists for more effective, controllable and scalable methods of making Bernal-stacked graphene layers.
  • BRIEF SUMMARY
  • In some embodiments, the present disclosure pertains to methods of forming Bernal-stacked graphene layers. In some embodiments, the methods comprise: (1) cleaning a surface of a catalyst; (2) annealing the surface of the catalyst; (3) applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber; and (4) growing the Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber. Further embodiments of the present disclosure also include steps of: (5) terminating the growing step; and (6) transferring the formed Bernal-stacked graphene layers from the surface of the catalyst onto a substrate.
  • In some embodiments, the reaction chamber may be placed under a stream of a reductive gas (e.g., hydrogen) during the applying and growing steps. In some embodiments, the reductive gas has a pressure ranging from about 5 Torr to about 800 Torr in the reaction chamber.
  • In some embodiments, the catalyst is a copper foil. In some embodiments, the catalyst has a surface area ranging from about 1 cm2 to about 10 m2.
  • In some embodiments, the carbon source is a hydrocarbon, such as methane. In some embodiments, the applying of the carbon source onto a surface of the catalyst occurs by chemical vapor deposition. In some embodiments, the carbon source has a pressure ranging from about 0.2 Torr to about 30 Torr in the reaction chamber.
  • In some embodiments, the growing of the Bernal-stacked graphene layers occurs at temperatures of at least about 1,000° C. In some embodiments, the growing occurs while the reaction chamber has a total pressure ranging from about 5 Torr to about 800 Torr. In some embodiments, the growing occurs for less than about 15 minutes. In some embodiments, the growing occurs from multiple growth centers, where the growth centers comprise multilayer graphene seeds, where the growth centers grow laterally and epitaxially, and where the growth centers merge seamlessly to form Bernal-stacked graphene layers.
  • In some embodiments, the methods of the present disclosure also include a step of controlling the number of formed Bernal-stacked grapheme layers, where the controlling comprises adjusting one or more growth parameters. In some embodiments, the one or more growth parameters are selected from the group consisting of total pressure of the reaction chamber, pressure of the carbon source in the reaction chamber, pressure of a reductive gas in the reaction chamber, a reductive gas flow rate in the reaction chamber, growth temperature, growth time, and a cooling rate of the surface of the catalyst after the growing step.
  • In some embodiments, the formed Bernal-stacked graphene layers have from 2 to 10 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have more than 10 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers are in polycrystalline form. In some embodiments, the Bernal-stacked graphene layers have domain sizes ranging from about 1 μm to about 5 μm. In some embodiments, the Bernal-stacked graphene layers are uniform in structure.
  • Further embodiments of the present disclosure pertain to Bernal-stacked graphene films that comprise a plurality of Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene layers are uniform in structure. In some embodiments, the Bernal-stacked graphene layers are in polycrystalline form.
  • BRIEF DESCRIPTION OF THE FIGURES
  • FIG. 1 provides a scheme of a method for making Bernal-stacked graphene layers.
  • FIG. 2 provides schemes and data relating to the growth of Bernal-stacked graphene layers. FIG. 2A is a scheme of a CVD growth chamber where a needle valve is placed downstream between a quartz tube and a vacuum pump to control the total pressure of CH4 and H2. The ratio of the two gases is controlled using mass flow controllers at the source of each gas. The growth chamber is placed in a furnace heated at 1,000° C. The inset is the partial pressure of CH4 correlated to the thickness of the graphene layers. The ratio between partial pressure of H2 (PH2) and CH4 (PCH4) in this system was set by fixing the flow rates. FIG. 2B shows a Raman evolution of graphene grown under increased CH4 partial pressure (514 nm laser). FIG. 2C shows the 2D peak position of the Raman spectra in FIG. 2B.
  • FIG. 3 shows optical photographs of graphene films transferred onto quartz substrates (˜0.67 in2). The arrow begins at the monolayer graphene Sample 1 and ends at the multilayer graphene Sample 10 (as summarized in Table 2 in Example 1). The CH4 partial pressure increases from 0.2 Torr to 12.8 Torr (as also summarized in Table 2 in Example 1).
  • FIG. 4 shows Raman spectra of monolayer graphene and non-Bernal-stacked bi-, tri-, and tetralayer graphene with 514 nm excitation. In order to prepare the non-Bernal-stacked few-layer graphene, monolayer samples grown at CH4 partial pressure of 0.2 Torr (Sample 1, Table 2) were transferred layer-by-layer onto a quartz surface (a PMMA-protected graphene layer was transferred onto the quartz surface and the PMMA was removed with acetone and rinsed with isopropanol; this process was repeated for multiple layers). No annealing was performed before the Raman characterization.
  • FIG. 5 shows the fitted Raman 2D band of bi-layer (FIG. 5A), tri-layer (FIG. 5B), and tetralayer (FIG. 5C) graphene with full width at half maximum values (FWHMs) of 69, 71 and 72 cm−1, respectively.
  • FIG. 6 shows selected area electron diffraction (SAED) patterns and transmission electron microscopy (TEM) images of bi-, tri-, and tetralayer graphene. FIGS. 6A-C show representative SAED patterns from bi-, tri-, and tetralayer graphene samples, respectively. FIGS. 6D-F show the intensity profile from the SAED patterns in FIGS. 6A-C, respectively. FIGS. 6G-I show high resolution TEM (HRTEM) of randomly chosen representative edges of bi-, tri-, and tetralayer graphene that shows two, three, or four layers of carbon, respectively. The scale bars in FIGS. 6G-I are 5 nm.
  • FIG. 7 shows SAED (FIGS. 7A-B) and HRTEM (FIG. 7C) edge characterization of monolayer graphene.
  • FIG. 8 shows spectroscopic characterization of Bernal bi-, tri-, and tetralayer graphene films. FIG. 8A shows the transmittance of bi-, tri-, and tetralayer graphene films obtained with visible-absorption spectroscopy on quartz substrates. The transmittance of graphene was measured at 550 nm. n L signifies the number of graphene layers. FIG. 8B shows an optical image of a trilayer graphene on 2.5×2.5 cm2 quartz that indicates the uniformity of the film. The IG/I2D Raman mapping of bilayer (FIG. 8C), trilayer (FIG. 8D) and tetralayer graphene (FIG. 8E) are also shown.
  • FIG. 9 shows the Raman mapping of monolayer graphene (Sample 1, Table 2).
  • FIG. 10 shows the FWHM of 2D band mapping (FIG. 10A) and histogram (FIG. 10B) of a bilayer graphene film.
  • FIG. 11 shows electrical measurements of Bernal-stacked bilayer graphene. FIG. 11A shows an overlaid SEM and optical microscopy top-view image of a dual-gate bilayer graphene FET device (TG=top gate; G=bottom gate; S=source; D=drain). Scale bar is 10 μm. FIG. 11B shows a cross-sectional view of the bilayer graphene device. FIG. 11C shows graphene electrical conductance as a function of top gate voltage Vt at different fixed bottom gate voltages Vb. The measurements were taken from −40 V to 40 V in Vb, with 20 V steps at 77 K.
  • FIG. 12 shows room temperature Bernal bilayer graphene device mobility.
  • FIG. 13 shows a characterization of the graphene film sample as used in FIG. 8C.
  • FIG. 13A shows SEM image of bilayer graphene grown for 15 min. The scale bar is 1 mm. The IG/I2D Raman spectral map (FIG. 13B) and the Raman spectrum (FIG. 13C) of bilayer graphene grown for 15 min are also shown.
  • FIG. 14 shows another characterization of the graphene film sample as used in FIG. 8C. FIG. 14A shows SEM image of bilayer graphene grown for 30 min. The scale bar is 1 mm. The IG/I2D Raman spectral map (FIG. 14B) and the Raman spectrum (FIG. 14C) of bilayer graphene grown for 30 min are also shown. There was no change in thickness noted with the increased growth time.
  • FIG. 15 shows additional data related to bilayer graphene growth. FIG. 15A shows SEM image of graphene grown under monolayer conditions (15 min) followed by bilayers growth conditions (15 min). The scale bar is 1 mm. Also shown are the IG/I2D Raman spectral map (FIG. 15B) and Raman spectrum (FIG. 15C) of graphene grown under monolayer conditions for 15 min and then bilayer conditions for another 15 min. There was no thickness change observed after the monolayer was obtained.
  • FIG. 16 provides proposed growth-mechanisms for Bernal-stacked graphene layers. In this model, graphene seeds form when the surface carbon in Cu is supersaturated. Higher CH4 partial pressure deposits thicker graphene seeds. The thickness of the graphene is pre-defined by these seeds, which grow epitaxially along the Cu surface (top). The graphene seeds grow independently and form graphene single-crystalline islands (middle) before they meet with each other. When graphene islands meet, they form domains and grain boundaries (bottom) and the growth stops. No additional graphene layer would be able to grow on the fully covered Cu surface.
  • FIG. 17 provides data and images of bilayer graphene seeds. FIGS. 17A-B are different magnification SEM images of bilayer graphene seeds and islands after 2 min growth atop pre-polished and annealed Cu. The red arrow in FIG. 17B points to a graphene seed. This graphene seed is surrounded with graphene islands, which range from 100 nm to several μm in size (here, seeds are simply small islands). The scale bars in FIGS. 17A-B are 1 μm. FIG. 17C is a representative Raman spectrum of these bilayer graphene seeds and islands, which shows the same signature as its final bilayer film. Out of 10 random areas studied, 8 areas were bilayer while one area was monolayer and another was trilayer. This indicates that the seeds were mainly bilayer.
  • FIG. 18 is an SEM image of a graphite film with graphene thickness over 10 layers (Sample 11, Table 2). Scale bar is 5 nm.
  • DETAILED DESCRIPTION
  • It is to be understood that both the foregoing general description and the following detailed description are illustrative and explanatory, and are not restrictive of the subject matter, as claimed. In this application, the use of the singular includes the plural, the word “a” or “an” means “at least one”, and the use of “or” means “and/or”, unless specifically stated otherwise. Furthermore, the use of the term “including”, as well as other forms, such as “includes” and “included”, is not limiting. Also, terms such as “element” or “component” encompass both elements or components comprising one unit and elements or components that comprise more than one unit unless specifically stated otherwise.
  • The section headings used herein are for organizational purposes and are not to be construed as limiting the subject matter described. All documents, or portions of documents, cited in this application, including, but not limited to, patents, patent applications, articles, books, and treatises, are hereby expressly incorporated herein by reference in their entirety for any purpose. In the event that one or more of the incorporated literature and similar materials defines a term in a manner that contradicts the definition of that term in this application, this application controls.
  • Graphene films with Bernal-stacked graphene layers are of particular interest due to their unique and tunable electronic structures. For instance, a synthetic method to produce such graphene films with precise and controllable thicknesses would be desirable for chemists and physicists to explore the promising electronic applications of these materials. However, until recently, most of the approaches for making Bernal-stacked graphene layers were based on micron-sized multilayer exfoliated graphene flakes, requiring a tedious process that is difficult to scale. As such, a need exists for more effective, controllable and scalable methods of making Bernal-stacked graphene layers. Various embodiments of the present disclosure address this need.
  • In some embodiments, the present disclosure pertains to methods of forming Bernal-stacked graphene layers. Further embodiments of the present disclosure pertain to Bernal-stacked graphene films that comprise a plurality of Bernal-stacked graphene layers.
  • Methods of Forming Bernal Stacked Graphene Layers
  • In some embodiments, the present disclosure pertains to methods of forming Bernal-stacked graphene layers. In some embodiments that are illustrated in the scheme in FIG. 1, the methods of the present disclosure include one or more of the following steps: cleaning a surface of a catalyst (step 10); annealing the surface of the catalyst (step 12); applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber (step 14); and growing Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber (step 16). In some embodiments, the methods of the present disclosure also include one or more steps of: terminating the growth of the Bernal-stacked graphene layers (step 18) and transferring the formed Bernal-stacked graphene layers from the catalyst surface to a substrate (step 20).
  • As set forth in more detail herein, the methods of the present disclosure can have numerous embodiments and variations. For instance, various catalysts, carbon sources, and reaction conditions may be utilized to form various types of Bernal-stacked graphene layers in a scalable and controllable manner.
  • Catalysts
  • Various catalysts may be utilized to grow Bernal-stacked graphene layers. In some embodiments, the catalyst may include at least one of Ni, Co, Fe, Pt, Au, Al, Cr, Cu, Mg, Mn, Mo, Rh, Si, Ta, Ti, W, U, V Zr, mixtures thereof, foils thereof, vapor deposited metals thereof, and combinations thereof. In some embodiments, the catalysts may include reduced metal catalysts, oxidized metal catalysts, associated alloys of metal catalysts, and combinations thereof. In more specific embodiments, the catalyst is a copper foil.
  • The catalysts of the present disclosure may also have various purities. For instance, in some embodiments, the catalysts of the present disclosure may have a purity of at least about 75%. In some embodiments, the catalysts of the present disclosure may have a purity of at least about 95%. In some embodiments, the catalysts of the present disclosure may have a purity of at least about 99%. In more specific embodiments, the catalyst is a copper foil with a purity above 99%.
  • The catalysts of the present disclosure may also be in various crystalline forms. For instance, in some embodiments, the catalysts of the present disclosure may be in monocrystalline form. In some embodiments, the catalysts of the present disclosure may be in polycrystalline form. In more specific embodiments, the catalysts of the present disclosure include polycrystalline copper foils.
  • The catalysts of the present disclosure may also have various shapes. For instance, in some embodiments, the catalysts of the present disclosure may be in the form of squares, rectangles, cylinders, circles, and the like. In some embodiments, the catalysts of the present disclosure may have at least one surface. In some embodiments, the catalysts of the present disclosure may have multiple surfaces.
  • The catalysts of the present disclosure may also various surface areas. For instance, in some embodiments, the catalysts of the present disclosure have a surface area ranging from about 1 cm2 to about 10 m2. In some embodiments, the catalysts of the present disclosure have a surface area of about 1 inch2.
  • As also set forth in more detail herein, various methods may be utilized to clean and anneal catalyst surfaces. In some embodiments, such treatments can minimize carbon source contamination on a catalyst surface and thereby facilitate the growth of Bernal-stacked graphene layers on the catalyst surface.
  • Cleaning of Catalyst Surfaces
  • Various methods may be utilized to clean catalyst surfaces. For instance, in some embodiments, catalyst surfaces may be cleaned by treatment with one or more acids. In some embodiments, the one or more acids may include sulfuric acid, nitric acid, hydrochloric acid, acetic acid, diluted acids, and combinations thereof.
  • In some embodiments, the cleaning of the catalyst surface may include electrochemical-polishing of the surface of the catalyst. In some embodiments, the electrochemical-polishing may include applying a voltage to the catalyst surface and polishing the catalyst surface for a certain amount of time. For instance, in more specific embodiments, electrochemical polishing may include applying a voltage of about 0.5 V or higher to the surface of the catalyst, and polishing the surface of the catalyst for about 10 seconds or longer.
  • In some embodiments, the cleaning of catalyst surfaces may occur by mechanical polishing. Additional methods of cleaning catalyst surfaces can also be envisioned.
  • Annealing of Catalyst Surfaces
  • Various methods may also be used to anneal catalyst surfaces. For instance, in some embodiments, the annealing of catalyst surfaces includes thermal annealing. In some embodiments, thermal annealing includes exposure of a catalyst surface to temperatures of about 500° C. or higher. In some embodiments, thermal annealing includes exposure of a catalyst surface to temperatures of at least about 1,000° C.
  • In some embodiments, the annealing of catalyst surfaces may occur at various pressures. For instance, in some embodiments, the annealing of catalyst surfaces may occur at pressures that range from about 1 mTorr to about 1500 Torr. In some embodiments, the annealing of catalyst surfaces may occur at pressures that range from about 5 Torr to about 800 Torr. In some embodiments, the annealing of catalyst surfaces occurs at pressures of about 1000 Torr or higher. In some embodiments, the annealing of catalyst surfaces occurs at pressures at or above 1500 Torr.
  • In some embodiments, the annealing of catalyst surfaces may occur in a reductive environment. For instance, in some embodiments, the annealing of catalyst surfaces may occur under a stream of a reductive gas, such as hydrogen. In some embodiments, the annealing of catalyst surfaces may occur under a stream of a reductive gas at a flow rate of about 10-1000 standard cubic cm per minute (sccm). In more specific embodiments, the annealing of catalyst surfaces occurs under a stream of hydrogen gas at a flow rate of about 10 sccm.
  • The annealing of catalyst surfaces may also occur for various time periods. In some embodiments, the annealing of catalyst surfaces may last from about 1 minute to about 10 hours. In some embodiments, the annealing of catalyst surfaces may last for about 7 hours.
  • In more specific embodiments, the annealing of catalyst surfaces can involve exposure of a surface of a catalyst to a temperature of at least about 1000° C. and a pressure of at least about 1 mT for more than about 1 minute. In more specific embodiments, the annealing temperature is at least about 1000° C., the annealing pressure is at least about 5 Torr, and the annealing time is at least about 7 hours.
  • In some embodiments, the annealing of catalyst surfaces may occur under inert conditions, such as under a stream of one or more inert gases. In some embodiments, the one or more inert gases may include, without limitation, argon, nitrogen, and combinations thereof. In some embodiments, the annealing of catalyst surfaces may occur under inert and reductive conditions. For instance, in some embodiments, the annealing of catalyst surfaces may occur under streams of one or more inert gases (e.g., Ar, N2, etc.) and one or more reductive gases (e.g., H2). Additional methods of annealing catalyst surfaces can also be envisioned.
  • Application of Carbon Sources onto Catalyst Surfaces
  • Various methods may also be utilized to apply carbon sources to catalyst surfaces. In some embodiments, carbon sources are applied onto catalyst surfaces by spin-coating, drop-casting, spray coating, dip coating, physical application, vapor-coating, sublimation, blading, inkjet printing, screen printing, direct placement, thermal evaporation, chemical vapor deposition, and combinations thereof. In more specific embodiments, carbon sources are applied onto catalyst surfaces by chemical vapor deposition (CVD).
  • In addition, various carbon sources may be applied to catalyst surfaces. For instance, in some embodiments, the carbon sources may include at least one of hydrocarbons, polymers, non-polymeric carbon sources, small molecules, organic compounds, fullerenes, fluorenes, carbon nanotubes, phenylene, ethylenes, sucrose, sugars, polysaccharides, carbohydrates, proteins, and combinations thereof. In some embodiments, the carbon sources may include polymers, such as poly(methyl methacrylate)s, polystyrenes, polyacrylonitriles, polycarbonates, poly(phenylene ethylene)s, cellulose, and combinations thereof.
  • In more specific embodiments, the carbon sources that are applied to catalyst surfaces include hydrocarbons. In some embodiments, the hydrocarbons include, without limitation, CH4, C2H4, C2H2, and combinations thereof. In some embodiments, the hydrocarbons include methane. In some embodiments, the carbon source is filtered methane with a chemical purity grade of more than 99%. In more specific embodiments, the applying of the carbon source onto a catalyst includes the application of hydrocarbons to the catalyst surface by CVD.
  • In some embodiments, carbon sources are applied to a cleaned and annealed surface of a catalyst in a gaseous state. In some embodiments, the carbon source is applied to a cleaned and annealed catalyst surface while the catalyst is in a reaction chamber. In some embodiments, the carbon source in the reaction chamber has a pressure ranging from about 0.2 Torr to about 30 Torr. In some embodiments, the carbon source in the reaction chamber has a flow rate that ranges from about 10 sccm to about 1,000 sccm. In more specific embodiments, the carbon source in the reaction chamber has a flow rate of about 10 sccm.
  • Growth of Bernal-Stacked Graphene Layers
  • Growth of Bernal-stacked graphene layers on catalysts surfaces generally occurs during or after the application of a carbon source onto a catalyst surface. Various methods may also be utilized to grow various types of Bernal-stacked graphene layers on catalyst surfaces. In particular, various pressures, temperatures, growth times, and environmental conditions may be utilized to grow Bernal-stacked graphene layers on catalyst surfaces.
  • For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reductive environment. In some embodiments, the reductive environment may include a stream of a reductive gas, such as hydrogen. In some embodiments, the stream of the reductive gas may have a flow rate of about 10 sccm to about 1000 sccm. In more specific embodiments, growth of Bernal-stacked graphene layers on catalyst surfaces occurs under a stream of hydrogen gas at a flow rate of about 300 sccm.
  • The growth of Bernal-stacked graphene layers on catalyst surfaces may also occur at various pressures. For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur in reaction chambers that have a total pressure that ranges from about 1 mTorr to about 1500 Torr. In more specific embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reaction chamber that has a total pressure that ranges from about 5 Torr to about 800 Torr. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs in a reaction chamber that has a total pressure of about 50 Torr.
  • The growth of Bernal-stacked graphene layers on catalyst surfaces may also occur at various temperatures. For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs at temperatures of about 500° C. or higher. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces occurs at temperatures of at least about 1000° C.
  • In addition, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for various time periods. For instance, in some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may last from about 1 minute to about 10 hours. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may last from about 2 minutes to about 15 minutes. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for less than about 15 minutes. In some embodiments, the growth of Bernal-stacked graphene layers on catalyst surfaces may occur for about 2 minutes.
  • Reaction Chamber
  • The methods of the present disclosure may occur in various reaction chambers. In some embodiments, the reaction chamber may be a tube, such as a fused quartz tube shown in FIG. 2A. Additional reaction chambers can also be envisioned.
  • In some embodiments, the reaction chamber may be placed under a stream of a reductive gas. In some embodiments, the reductive gas is hydrogen. In some embodiments, the reductive gas in the reaction chamber has a flow rate ranging from about 10 sccm to about 1000 sccm. In some embodiments, the reductive gas in the reaction chamber has a flow rate of about 300 sccm. In some embodiments, the reductive gas in the reaction chamber has a pressure ranging from about 5 Torr to about 800 Torr. In some embodiments, the reaction chamber is placed under a stream of a reductive gas during the carbon source applying step, the growing step, or both.
  • Mechanism and Control of Growth
  • Without being bound by theory, various mechanisms may be utilized to grow the Bernal-stacked graphene layers of the present disclosure on catalyst surfaces. For instance, in some embodiments, the methods of the present disclosure may not utilize an independent homoexpitaxial layer-by-layer growth. In some embodiments, the methods of the present disclosure may utilize a simultaneous-seeding and self-limiting process to grow Bernal-stacked graphene layers. For instance, in some embodiments, the growing occurs from multiple growth centers. In some embodiments, the growth centers include multilayer graphene seeds. In some embodiments, the growth centers grow laterally and epitaxially and merge seamlessly to form the Bernal-stacked graphene layers of the present disclosure.
  • In some embodiments, multilayer graphene seeds form when the carbon source on a surface of a catalyst is supersaturated. In some embodiments, higher carbon source pressure deposits thicker multilayer graphene seeds. The thickness of the graphene may then be pre-defined by these multilayer graphene seeds, which grow epitaxially along the surface of the catalyst.
  • In some embodiments, the methods of the present disclosure also include a step of controlling the number of Bernal-stacked graphene layers by adjusting one or more growth parameters. In some embodiments, the one or more growth parameters may include at least one of total pressure of the reaction chamber, pressure of the carbon source in the reaction chamber, pressure of a reductive gas in the reaction chamber, a reductive gas flow rate in the reaction chamber, growth temperature, growth time, and a cooling rate of the surface of the catalyst after the growing step.
  • In some embodiments, the one or more controllable growth parameters include a pressure of the carbon source in the reaction chamber. In some embodiments, an increase in the pressure of the carbon source increases the number of Bernal-stacked graphene layers, and a decrease in the pressure of the carbon source decreases the number of Bernal-stacked graphene layers.
  • In some embodiments, the one or more controllable growth parameters include a pressure of a reductive gas in the reaction chamber. In some embodiments, an increase in the pressure of the reductive gas increases the number of Bernal-stacked graphene layers, and a decrease in the pressure of the reductive gas decreases the number of Bernal-stacked graphene layers.
  • In some embodiments, the one or more controllable growth parameters include a total pressure of the reaction chamber. In some embodiments, an increase in the total pressure of the reaction chamber increases the number of Bernal-stacked graphene layers, and a decrease in the total pressure of the reaction chamber decreases the number of Bernal-stacked graphene layers.
  • Growth Termination
  • In some embodiments, the methods of the present disclosure also include a step of terminating the step of growing Bernal-stacked graphene layers. Various methods may be utilized to terminate the growth of Bernal-stacked graphene layers. For instance, in some embodiments, the growth of Bernal-stacked graphene layers is terminated by cooling the surface of the catalyst. In some embodiments, the cooling occurs by moving the catalyst surface away from a heat source, such as a furnace. In some embodiments, the cooling occurs by exposing the catalyst surface to a stream of a reductive gas, such as hydrogen.
  • Transfer
  • In some embodiments, the methods of the present disclosure may also include a step of transferring the formed Bernal-stacked graphene layers from the surface of the catalyst onto a substrate, such as a SiO2/Si wafer. Various methods may be utilized to transfer Bernal-stacked graphene layers from the surface of the catalyst onto a substrate. In some embodiments, such methods may include, without limitation, thin layers protection, acid-etching, layers lift off, and combinations thereof.
  • Formed Bernal-Stacked Graphene Layers
  • The methods of the present disclosure may be utilized to form various types of Bernal-stacked graphene layers. For instance, in some embodiments, the formed Bernal-stacked graphene layers have from 2 to 10 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have from 2 to 4 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have 2 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have 3 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have 4 Bernal-stacked graphene layers. In some embodiments, the formed Bernal-stacked graphene layers have more than 10 Bernal-stacked graphene layers.
  • The formed Bernal-stacked graphene layers of the present disclosure may also be in various forms and sizes. For instance, in some embodiments, the formed Bernal-stacked graphene layers may be in polycrystalline form. In some embodiments, the formed Bernal-stacked graphene layers may have a uniform structure. In some embodiments, the formed Bernal-stacked graphene layers may have domain sizes ranging from about 1 μm to about 5 μm.
  • Bernal-Stacked Graphene Films
  • Further embodiments of the present disclosure pertain to Bernal-stacked graphene films. In some embodiments, the Bernal-stacked graphene films of the present disclosure are formed by the methods of the present disclosure. In some embodiments, the Bernal-stacked graphene films of the present disclosure include a plurality of Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene layers are uniform in structure. In some embodiments, the Bernal-stacked graphene layers are in polycrystalline form. In some embodiments, the Bernal-stacked graphene layers have domain sizes ranging from about 1 μm to about 5 μm.
  • In some embodiments, the Bernal-stacked graphene films of the present disclosure have from 2 to 10 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have from 2 to 4 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have 2 Bernal-stacked graphene layers. In some embodiments, the Bernal-stacked graphene films of the present disclosure have more than 10 Bernal-stacked graphene layers.
  • Applications and Advantages
  • In some embodiments, the present disclosure provides effective, scalable, and controllable methods of forming Bernal-stacked graphene layers that show distinct electronic band structures. As such, Applicants envision that the methods of the present disclosure can provide effective methods for making graphene films for numerous applications, including physical and optoelectronic applications.
  • Additional Embodiments
  • Reference will now be made to more specific embodiments of the present disclosure and experimental results that provide support for such embodiments. However, Applicants note that the disclosure below is for illustrative purposes only and is not intended to limit the scope of the claimed subject matter in any way.
  • Example 1. Preparation of Large-Area Bernal-Stacked Bi-, Tri-, and Tetralayer Graphene
  • In this Example, Applicants demonstrate that large-area uniform Bernal-stacked bi-, tri-, and tetralayer graphene films were successfully synthesized on a Cu surface in selective growth windows, with a finely tuned total pressure and CH4/H2 gas ratio. Based on the analyses obtained, the growth mechanism is not an independent homoexpitaxial layer-by-layer growth, but most likely a simultaneous-seeding and self-limiting process.
  • In this Example, Applicants demonstrate consistent chemical vapor deposition (CVD) growth windows for large-area Bernal-stacked bi-, tri-, or tetralayer graphene on Cu surfaces. Without being bound by theory, Applicants have demonstrated that parameters that could affect the thickness of graphene growth include the pressure in the system, gas flow rate, growth pressure (the partial pressure of both the growth gas and the carrier gas), growth temperature, and cooling rate. Based on previous CVD growth conditions for monolayer, bilayer, and multilayer graphene (summarized in Table 1), Applicants hypothesized that the partial pressure of both the carbon sources and the H2 gas in the growth process, which is set by the total pressure and the mole fraction of the feedstock, could be the factor that controls the thickness of the graphene.
  • Growth Growth H2 CH4
    pressure Temperature pressure pressure
    Entry (Torr) (° C.) (Torr) (Torr) Notes
    1 760 1050 24.5 0.006 monolayer
    single crystal
    2 760 1000 76 0.068 monolayer
    no D peak
    3 760 1000 76 3 multilayer
    no D peak
    4 760 1000 707.25 62.75 multilayer
    with D peak
    5 0.2 1035 0.04 0.16 monolayer
    no D peak
    6 0.45 1000 0 0.45 bilayer
    with D peak
  • Table 1 provides a graphene growth summary from the literature. Some of the references reported the flow rates (sccm) of H2 and CH4 and the total growth pressure for the growth conditions. These have been converted into partial pressure.
  • Therefore, a series of experiments with continual and precisely controlled total pressure and ratio of growth gases was performed to generate a coherent growth map, as shown in Table 2.
  • Growth Growth H2 CH4
    pressure Temperature pressure pressure
    Sample (Torr) (° C.) (Torr) (Torr) Thickness
    1 5.8 1000 5.6 0.2 monolayer
    2 11.6 1000 11.2 0.4 monolayer
    3 23.2 1000 22.4 0.8 monolayer
    4 46.4 1000 44.8 1.6 1-2 layer
    5 93.3 1000 89.5 3.6~3.8 bilayer
    6 139.2 1000 134.4 4.8 2-3 layer
    7 152 1000 146.7 5.2 3 layer
    8 185.6 1000 179.2 6.4 3-4 layer
    9 277.6 1000 268.8 9.6 4 layer
    10 370 1000 358.4 12.8 >5 layer
    11 555 1000 537.6 19.2 >10 layer
    12 740 1000 716.8 25.6 >10 layer
  • As shown in FIG. 2, a needle valve was installed between the CVD growth chamber (a quartz tube) and the vacuum pump to precisely control the gas flow rate and thus the total pressure of the CVD system. The total pressure was carefully monitored with a pressure gauge connected to the growth chamber. In Table 2, a monolayer graphene growth condition was set as the first data point in the series (Sample 1). The growth reaction was maintained at 1000° C. for 15 min. The flow rates of H2 and CH4 were 300 sccm and 10±1 sccm, respectively. The flow rates were kept the same throughout this series (Samples 1-12). The ratio between H2 and CH4 was thus fixed, while the total pressure was tuned from 5.8 Torr to 740 Torr, ranging from low pressure growth to near-atmospheric pressure growth. The partial pressures of H2 (PH2) and CH4 (PCH4) were calculated from the total system pressure. The detailed growth parameter values are listed in Table 2. As the growth pressure increased, thicker graphene films grew on the Cu surfaces. Specifically, bi-, tri-, and tetralayer graphene films form when the PCH4 was 3.6, 5.2, and 9.6 Torr, respectively (inset of FIG. 2A).
  • All of the graphene films were grown and transferred onto different substrates using the method previously described (Sun et al., Nature 2010, 468, 549-552). Optical images of this series transferred onto quartz slides are shown in FIG. 3. The graphene films became successively darker, suggesting that thicker films were grown with increasing PCH4. The thickness of the films was subsequently investigated using spectroscopic techniques. Raman spectroscopy was used to determine both the quality and thickness of the graphene film over a micron-sized area according to the laser spot-size. Based on the Raman spectra in FIG. 2B, when the PCH4 is below 1.6 Torr, only monolayer graphene films grow with an I2D/IG ratio less than 0.5 (Samples 1-3). At 1.6 Torr, bilayer graphene starts to form on Cu surfaces as the average IG/I2D increases to ˜0.5, slightly higher than monolayer graphene IG/I2D ratio. Sample 4 is a hybrid of mono- and bilayer graphene film as confirmed by optical absorption of ˜3%. When PCH4 was 3.6˜3.8 Torr, Sample 5, the graphene film displays a dominant bilayer characteristic IG/I2D ratio over a large area. Thicker graphene Raman signatures (3 to 10 layers) are also observed on the graphene film from Samples 6-10.
  • FIG. 2B displays the stacked Raman spectra as the PCH4 increased. The G peak at ˜1585 cm−1 becomes more pronounced and the 2D peak at ˜2700 cm−1 broadens and blue shifts. In FIG. 2C, the 2D peak blue shift starts at 2690 cm−1 for monolayer graphene and ends at ˜2717 cm−1 for >10-layer graphene, or graphite. This result is consistent with the results obtained from mechanically exfoliated Bernal graphene.
  • The Raman spectra of non-Bernal stacked graphene were also investigated by directly stacking monolayer CVD graphene films atop a SiO2 surface without further annealing. As shown in FIG. 4, both the I2D and IG increase as the thickness increases, while the relative ratio between the two peaks does not change, suggesting a relatively weak electronic interaction between graphene layers. The deconvolution of the 2D peaks of bi-, tri-, and tetralayer graphene unveils more details, as shown in FIG. 5. The 2D peak of bilayer graphene can be fitted with 4 Lorentzian curves while the 2D peak in trilayer graphene can be fitted with 6 Lorentzian curves. The line shape of the peak shows little asymmetry with no apparent shoulder, which suggests that the graphene films are dominated by Bernal (ABA) stacking order rather than rhombohedral (ABC) stacking order. The tetralayer graphene's 2D peak can be fitted with 3 Lorentzian curves and its symmetrical line shape reveals its Bernal (ABAB) stacking signature. The full width at half maximum values (FWHMs) of the 2D peaks are 62, 71 and 72 cm−1 in bi-, tri-, and tetralayer graphene, respectively, which are significantly broader than the FWHM of monolayer graphene at 30 cm−1. All Raman spectra were acquired using a 514 nm laser at room temperature on SiO2/Si substrates.
  • Selected area electron diffraction (SAED) patterns and high resolution transmission electron microscopy (HRTEM) images corroborate graphene's stacking order and thickness. Bi-, tri-, and tetralayer graphene films were carefully transferred onto TEM grids (Ted Pella, Quantum foil). Over ˜2 mm2, ˜10 SAED patterns were acquired per sample and each area showed one set of diffraction pattern characteristic of Bernal stacking, other than at the grain boundaries. In the SAED patterns, the (1-210) intensity was 3.5˜6.3 times stronger than the (1-100), as shown in FIGS. 6A-F. The results suggest that these films are non-AA stacked.
  • As a reference, the monolayer graphene diffraction pattern has a (1-210)/(1-100) intensity ratio of ˜0.87 (FIG. 7). The presence of the innermost diffraction spots (1-100) and the diffraction intensity ratio in FIG. 6 is quite different from the ABC stacking order, which should have an intensity ratio larger than 14 according to theoretical calculations. Without being bound by theory, the inner plane strain and small tilting angle from the imperfect wet-transfer method could affect the diffraction intensities.
  • Using the SAED patterns, the graphene films are Bernal (AB) stacked polycrystalline graphene with an average domain size of 1 to 5 μm. This result has the potential to be optimized into a single crystal using newly developed methods (Zhang et al., Nat. Mater. 2011, 10, 443-449). In FIGS. 6G-I, edges were randomly chosen for imaging to confirm the thickness of the bi-, tri-, and tetralayer graphene samples.
  • The thickness of the graphene films was evaluated using visible spectroscopy in FIG. 8A. At 550 nm, the bi-, tri-, and tetralayer graphene films on quartz substrates exhibit transmittances of 95.4%, 93.0%, and 90.4%, respectively, in good agreement with predicted and reported values. FIG. 8B shows no difference in contrast across the trilayer graphene film, providing evidence for the uniformity of the film. Statistically, Raman mapping at the 100×100 μm2 scale confirms the thickness and uniformity of graphene films. In a typical monolayer graphene film, more than 95% of the graphene area has an IG/I2D ratio <0.5 (FIG. 9). In FIG. 8C, no monolayer Raman signature (IG/I2D<0.5) was observed at any pixel on the map and ˜85% of the film had an IG/I2D ratio of 0.7-1.1, suggesting uniform bilayer graphene. The Raman 2D band has been shown to be sensitive to graphene interlayer coupling, whereby ordered few-layer graphene exhibits 2D band-broadening in addition to a shift to higher frequency.
  • In FIG. 10, ˜85% of the sample's FWHM 2D peak falls within 42.5 cm−1 and 62.5 cm−1, characteristic of strongly coupled bilayer graphene. Without being bound by theory, it is envisioned that substrate effects or incidental charging could contribute to the deviation in the ratio. In FIGS. 8D-8E, the average IG/I2D ratios were 1.29 (trilayer) and 1.44 (tetralayer), respectively. This result was similar to tri- and tetralayer Bernal-stacked exfoliated graphene (obtained from highly oriented pyrolytic graphite), while it is different than the previous values for CVD-grown graphene.
  • Dual-gate field effect transistors (FETs) were built with a bilayer graphene film atop a SiO2/Si wafer (FIG. 11). The electrical measurements on the devices indicate that they have a tunable band structure with a biased electrical field perpendicular to the graphene basal plane. The device hole mobility was as high as ˜2200 cm2V−1 s−1 (FIG. 12), which is considerably higher than the mobility for solution-exfoliated Bernal bilayer graphene.
  • Additional control experiments were done to explore the growth mechanism for the Bernal stacked graphene films. Under bilayer growth conditions (Sample 5 in Table 2), 15-min-growth produces full coverage of a bilayer graphene film on the Cu surface. Extending the growth time to 30 min under the same conditions does not change the film's thickness (FIGS. 13-14). In addition, monolayer graphene was grown to fully cover the Cu surface, after which the CVD system was changed to a higher pressure favorable for bilayer growth. However, no additional growth was observed (FIG. 15). This confirmed that the graphene growth is not a layer-by-layer mechanism, in which an additional graphene layer can grow directly atop or underneath existing graphene layers. The polycrystalline nature indicates that the graphene is grown from multiple growth centers and that the crystals subsequently merge seamlessly. The growth of the Bernal stacked graphene suggests that a self-limiting mechanism is operating and that the thickness is stems from its early seeding stage.
  • Without being bound by theory, the proposed growth-mechanism scheme is shown in FIG. 16. In a concentrated carbon species growth environment, multilayer graphene seeds form when C atoms are supersaturated in the surface layers of the Cu. In order to arrest the intermediate states, a short time-growth (2 min) on pre-treated Cu surface was performed. The Cu foil was pre-polished and annealed using the same method discussed elsewhere (Yan et al., Towards the Synthesis of Wafer-Scale Single-Crystal Graphene on Copper Foils, ACS Nano, in press).
  • In FIG. 17, the SEM and Raman spectra clearly confirmed that the graphene thickness was defined at the initial stage. Considering the top graphene layers have no direct lateral contact with the Cu underneath except for the edges, this two-dimensional growth is most likely catalyzed by the Cu catalyst-front close to the graphene edges as shown in FIG. 16. In this way, some of the seeds grow into graphene islands, forming and extending synchronously rather than layer-by-layer. The islands maintain their thickness and stacking order while the edges propagate laterally on the Cu surface. In analogy to the “tip-growth” mechanism of carbon nanotubes, the growth of Bernal graphene is most likely following an “edge-growth” mechanism. Cu “wave fronts” are pushed back into the surface by growing graphene crystals or they evaporate from this surface mobile state. As the graphene islands expand, the open Cu area shrinks. Finally, two graphene domains merge into one, with no Cu-front left in-between. As the growth temperature is close to copper's melting point, the front of the catalyst could be a highly mobile liquid phase. This mechanism is proposed for Bernal-stacked graphene growth. But it could be generalized for all 2D graphitic growth on Cu, including monolayer graphene and graphite (>10 layers). With the same mechanism, Bernal-stacked graphite of more than 10 graphene layers could be produced from Cu substrates (FIG. 18).
  • Example 1.1. CVD Growth
  • In a 48-inch-long fused quartz tube (22-mm ID, 25-mm OD, Technical Glass Products) heated in a furnace, graphene films were grown on a ˜1 in2 copper foil mounted on a boat-shaped quartz holder with a magnet affixed at one end to facilitate insertion and removal (the magnet never enters to hot-zone of the oven). With the furnace heated to 1000° C. and tube under vacuum (<30 mTorr), filtered H2 (ultra-high purity grade, 99.999% from Matheson, this high purity cannot be substituted) was introduced at 300 sccm and the H2 pressure was controlled with a needle valve (FIG. 2A) to a specified value. The copper foil was then annealed for 10 min by sliding the holder containing the copper to the center of the furnace. In the presence of the pressure-controlled H2, filtered methane (chemical purity grade, 99.0%, Matheson) was opened at 10±1 sccm for a growth time of 15 min after which the holder was removed from the furnace area of the tube to cool under H2. The copper foil was 25 μm thick and 99.8% grade, purchased from Alfa Aesar.
  • Example 1.2. Transfer
  • Graphene was formed on both sides of the Cu foil. In order to protect the graphene layers during Cu etching, a poly(methyl methacrylate) (PMMA) solution (950 PMMA A 4, MicroChem) was spin-coated (at 2500 rpm for 1 min) on the top of the graphene-coated copper foil twice and baked at 70° C. for ˜30 min in a vacuum oven or on a hot plate. Marble's reagent was used as an aqueous etchant solution, comprising 15.6 g CuSO4.5H2O (Aldrich), 45 mL deionized H2O, and 50 mL conc. HCl (Aldrich). The PMMA-graphene-Cu assembly was etched for a few min after which the Cu foil was removed from the Marble's reagent and dipped in water several times and wiped on a Kim wipe to completely remove the unprotected graphene on bottom of the Cu foil so that its residue did not merge with the top graphene. The remaining Cu was etched, leaving the PMMA-protected graphene that had been on top of the Cu foil floating on the etchant. The film was floated on deionized water and subsequently transferred onto a given substrate. The protective PMMA was removed using acetone after the transferred graphene layer completely dried. The graphene film was rinsed with 2-propanol, and gently blow-dried using N2.
  • Example 1.3. Characterization
  • For Raman spectroscopy, scanning electron microscopy (SEM), and optical characterization, graphene films were transferred onto a 300 nm SiO2/Si substrate. Raman spectra and 2D Raman maps were collected using a Renishaw inVia Raman microscope with a 514 nm Ar laser at ambient temperature. SEM images were obtained with a JEOL 6500F SEM at 15 KV. Optical images were taken with a Zeiss Axioplan Polarized Optical Microscope. On quartz slides, optical transmittance spectra were collected in a Shimadzu UV-3101PC UV-VIS-NIR Spectrophotometer. Transmission electron microscopy (TEM) images and electron diffraction patterns were acquired using a JEOL 2100F field emission gun TEM at 200 kV. The diffraction patterns were obtained at 80,000× with a zero degree tilt. For the TEM experiments, graphene films were transferred onto C-flat TEM grids (Electron Microscopy Sciences) in a method similar to the transfer method used for silicon oxide substrates.
  • Example 1.4. Electrical Measurement
  • The bilayer graphene sheet was transferred to p-Si substrates with 300 nm thermal oxide and patterned into a strip (5×20 μm) using ebeam lithography and reactive ion etching (RIE). The source/drain electrodes (1 nm Ti/20 nm Au) were defined using ebeam lithography and ebeam evaporation. Then top gate dielectrics (alumina, 70 nm) and top gate electrode (1 nm Ti/20 nm Au) were defined in series using ebeam lithography and ebeam evaporation. The channel length was between 1 μm and 5 μm depending on the devices.
  • The dual-gate FET properties of the bilayer graphene devices were further characterized using a probe station (Desert Cryogenics TTPX-probe 6 system) under vacuum with chamber base pressure below 1×10−5 mm Hg. The I-V data were collected using an Agilent 4155C semiconductor parameter analyzer. The mobility was calculated using the following equation:
  • μ = L WC ox V sd Δ I sd Δ V g
  • In the above equation, L and W are the channel length and width, Cox the gate oxide capacitance, Vsd the source drain voltage, Isd the source drain current and Vg the gate voltage. The linear regime of the transfer characteristics was used to obtain ΔIsd/ΔVg.
  • Without further elaboration, it is believed that one skilled in the art can, using the description herein, utilize the present disclosure to its fullest extent. The embodiments described herein are to be construed as illustrative and not as constraining the remainder of the disclosure in any way whatsoever. While the embodiments have been shown and described, many variations and modifications thereof can be made by one skilled in the art without departing from the spirit and teachings of the invention. Accordingly, the scope of protection is not limited by the description set out above, but is only limited by the claims, including all equivalents of the subject matter of the claims. The disclosures of all patents, patent applications and publications cited herein are hereby incorporated herein by reference, to the extent that they provide procedural or other details consistent with and supplementary to those set forth herein.

Claims (1)

What is claimed is:
1. A method of forming Bernal-stacked graphene layers, wherein the method comprises:
cleaning a surface of a catalyst;
annealing the surface of the catalyst;
applying a carbon source onto the cleaned and annealed surface of the catalyst in a reaction chamber; and
growing the Bernal-stacked graphene layers on the surface of the catalyst in the reaction chamber.
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