Pawan Kumar Srivastava,
Premlata Yadav and
Subhasis Ghosh*
Electronic Materials and Device Laboratory, School of Physical Sciences, Jawaharlal Nehru University, New Delhi-110067, India. E-mail: subhasis.ghosh.jnu@gmail.com
First published on 21st July 2015
High yield production of high quality graphene is essential for its application in electronics, optoelectronics and energy storage devices. Liquid phase exfoliation based methods for obtaining graphene are becoming popular because of their versatility and scalability. These advantages are absent with other growth methods such as mechanical exfoliation using scotch tape and chemical vapor deposition. Here we present a sonication assisted, surfactant free method for liquid phase exfoliation of graphene using solvents with varying dielectric constants. We have shown that the method presented here is capable of producing high yields (1.22 wt%), and exceptionally large sizes (30–50 microns) with a high carrier mobility of 10000 cm2 Vs−1 in monolayer graphene. Moreover, it is possible to obtain pristine as well as doped monolayer or bilayer or multilayer graphene with extreme controllability, on any solid substrate. It has been shown that choice of a solvent of a particular dielectric constant and sonication time are key parameters for liquid phase exfoliation. It is further shown that the exfoliation efficiency can be enhanced using solvents with high dielectric constant due to functionalization which has also been supported by density functional theory based electronic structure calculations. We have also tested this fact by using different solvents with similar dielectric constant. This method promises high-end industrial scale synthesis for potential applications in different types of devices, graphene based composites and liquid phase chemistry as well.
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Fig. 1 Schematic diagram of chemical exfoliation method. Snapshots of sonicated and centrifuged solutions are also given. |
Homogeneous dispersion with graphene layers were separated from black dispersion consisting of large number of suspended macroscopic aggregates by centrifugation (Fig. 1). Snapshots of such dispersions prepared from different graphite concentrations are shown in Fig. 2a. It has been observed that exfoliation efficiency and separation of thick graphitic flakes strongly depend on sonication and centrifugation times, respectively. Yield of the exfoliation is basically determined by the concentration of remaining dispersed phase after centrifugation because it only includes thin graphene layers. In order to find the concentration after centrifugation we passed the graphitic dispersion through polyamide membrane filters from Sigma Aldrich (pore size: 200 nm). These dispersions were then characterized by UV-visible absorption spectroscopy (Fig. 2a). As expected, the spectra are featureless in the visible region. These dispersions were then diluted number of times and absorption spectra were recorded. Absorbance (at 660 nm) divided by cell length is plotted against diluted concentrations, showing Beer–Lambert behaviour for graphene dispersions in various solvents with α ∼ 1200 Lg−1 m−1 (Fig. 2b), here α is the molar absorptivity and related to the optical absorbance as16 A/l = α × C, where, A is optical absorbance; l, cell length; and C, concentration of the dispersion. As discussed above, remaining fraction of the sediments after centrifugation is very important parameter to describe the exfoliation efficiency. We have tried to disperse HOPG in different solvents and the remaining fraction (δ) after centrifugation was calculated from measured absorption coefficient and average molar absorptivity at 660 nm (α660) ∼1200 L gm−1 ml−1. Fig. 2c illustrates concentration of remaining sediments after centrifugation as a function of surface energies of respective solvents. In case of toluene and chlorobenzene we have observed relatively low fraction of remaining sediments (∼3–4%) whereas, for acetone, DMF and PC, relatively high fraction of remaining sediments (∼5–8%) was observed. Variation in δ with surface energies of the solvents follows linear relationship. Moreover, Fig. 2d illustrates that yield of graphene monolayers increases linearly with polarity of the solvents. This linear variation in δ and yield will be discussed later in this article. Fig. 3 provides some examples of transmission electron microscopy (TEM) images and specific area electron diffraction patterns (SAED) acquired on graphene layers. These TEM images indicate that suspended graphene layers are not perfectly flat and they exhibit microscopic corrugations/roughening in order to be thermodynamically stable. In addition to imaging of the graphene flakes using TEM, we could directly differentiate the monolayer and multilayer graphene by analyzing SAED patterns,17 which allowed us to probe the graphene's reciprocal space which has hexagonal structure.17 The key for the identification of graphene monolayer is that its reciprocal space should have only zero order Laue zone, therefore one should observe uniform intensity of diffraction patterns.17 For multilayers, diffraction patterns vary according to the stacking sequence of the graphitic flakes. Fig. 3a and b show TEM images of graphene layers exfoliated in low k solvents and insets show the electron diffraction patterns corresponding to circled areas. As expected, there exist six fold uniform and symmetric spots, which are the signature of monolayer graphene. Fig. 3c illustrates TEM image of monolayer graphene exfoliated in high k solvent and its diffraction pattern is given in Fig. 3f as indicated by an arrow.
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Fig. 2 (a) Absorption spectra for graphene based dispersions in PC, toluene, DMF and acetone at concentrations from 1.5 to 7 μg ml−1. Inset shows snapshots of graphene based dispersions in toluene, at a range of concentrations ranging between 2 and 6 μg ml−1. (b) Optical absorbance (at λ = 660 nm) divided by cell length (A/l) plotted against concentration of graphene in four solvents as mentioned above. Spectra shows Beer–Lambert behaviour with molar absorptivity of α (660) = 1200 Lg−1 m−1. X-axis error bars denote uncertainty in measuring graphite masses in solution after centrifugation. (c) Concentration of remaining sediments after centrifugation as a function of surface energies of respective solvents. (d) Production yield as a function of dielectric constant of the solvents used for exfoliation (see ESI† for details). Symbols are the data points and solid line is linear fit to the data. |
Fig. 3a and b also contains multilayer graphene flakes whose electron diffraction patterns are given in Fig. 3d and e which corresponds to randomly stacked and Bernal stacked multilayer graphene, respectively. Fig. 3g and h provide schematic illustration of Bernal stacked15,17 and randomly stacked graphene multilayers. Bernal stacking of multilayers indicates thick ordered graphitic flakes that were never exfoliated whereas, random stacking suggests that they did exfoliate but re-aggregated in the dispersion phase. AFM was carried out to determine the size, morphology and thickness of the exfoliated graphene layers. Fig. 4a and b show AFM images of such exfoliated graphene layers with size >10 microns for each. Thickness profile indicates the height of 0.6 nm for monolayer and 1.2 nm for bilayer graphene with excellent uniformity. Several AFM images were recorded and examined in order to obtain a statistics of size distribution and number fraction for graphene layers. Fig. 4c shows size distribution of graphene layers as function of their respective thickness as obtained from AFM. Relatively thin layers have larger sizes up to 10 microns for monolayers and 35 microns for few layer (<5) graphene.
Thin flakes have relatively small sizes, which suggest that large area thick graphite flakes have been efficiently exfoliated to produce monolayer graphene. Since, LPE is assisted by sonication, which may cause cutting of graphene flakes; we have also monitored the effect of sonication on the size distribution of graphene layers. We have exfoliated graphene layers under three different sonication times. Fig. 4d summarizes the effect of sonication on the size of graphene monolayers. It is clearly visible that as we reduce the sonication time (ts) from 12 to 8 h, size of the monolayers increases from 10 to 35 microns. The linear fit to the data indicates that size of the graphene monolayers vary inversely proportional to ts. This is very important observation in order to achieve required size of graphene layers using LPE. Fig. 5 shows TEM images of large area (∼35 microns each) graphene layers obtained at ts = 8 h. As discussed earlier in this article, SAED patterns corresponding to encircled areas indicate monolayer graphene whereas last SAED pattern corresponds to the folded graphene. It corroborates the flake size distribution extracted from the AFM measurements. Similarly, by monitoring several AFM images and their respective height profiles, we estimated number fraction of graphene layers.
It is worth mentioning that one or two unnoticed large thick flakes with relatively higher mass will disturb the whole statistics hence extreme care has been taken while acquiring the AFM images, especially in case of large flakes. Fig. 6 illustrates number of visual observations of graphene flakes (number fraction) as a function of number of layers. It is evident from the histogram that, when the sonication time and centrifugation time were kept around 8 hours and 2 hours respectively, the number fraction of monolayer graphene was about 2–5% for most of the dispersions. We have observed significant difference in the number fraction of graphene monolayer that increases drastically (up to ∼25%) as we increase sonication time from 8 to 12 hours while keeping centrifugation time fixed for 2 hours. This suggests that, further exfoliation of few layer graphene due to extended sonication, results in high throughput of graphene monolayers. Monolayer mass fraction obtained from various graphene dispersions varied between 10–16 wt% leading to an overall yield between 0.4–1.22 wt% (see Table I in ESI†). Method to calculate mass fraction and production yield is given in ESI Section S1.0.†
It is essential to investigate the mechanism that facilitates the exfoliation of graphite in liquid media for better understanding of such sonication assisted LPE methods. Hernandez et al.15 suggested that, for LPE to occur, net energy cost (enthalpy of mixing per unit volume) should be very small. In this case, enthalpy of mixing ΔH ∝ (Sgraphite − Ssolvent)2, where Sgraphite and Ssolvent are the surface energies of graphite and solvents, respectively. For graphite, the surface energy is defined as the energy per unit area required to overcome the van der Waals forces when peeling two graphene sheets apart. It is clear that minimal energy will cost for exfoliation, if surface energy of the solvents, matches with that of graphite. Hence, this criterion provides a rough guidance to select appropriate solvents for exfoliation of graphene layers. There are two observations firstly; all the solvents (toluene, chlorobenzene, acetone, DMF and PC) used for exfoliation have their surface energy values in the range of 40–90 mJ m−2, which is the range of the surface energy reported for graphite.15 Hence, if surface energy of the solvents is solely governing the exfoliation mechanism then in this range we should have observed almost similar value of δ i.e. remaining fraction of sediments after centrifugation in all cases. In contrast, as discussed before, Fig. 2c shows linear variation in δ with surface energy of solvents. It suggests that some other parameter is responsible for such linear variation of δ with surface energies, leading to high production yield. So, we propose that it is dielectric constant of the solvents that plays an important role in exfoliation mechanism (see Fig. 2d). During sonication process, exfoliated graphene layers get strongly functionalized in high k solvents while weak functionalization was observed for low k solvents (see discussion on Fig. 7 and ESI S2.0†). It has been reported earlier18,19 that surface chemistry can be altered with functionalization of solid surfaces. In this case, functionalization of the graphitic surfaces during sonication in high k solvents causes increase in exfoliation efficiency. Hence, as we increase the dielectric constant of the solvents, δ as well as production yields increases linearly. Further, we have tested this fact by using acetonitrile (k ∼ 37) which has dielectric constant close to that of DMF. It has been observed that in spite of substantial difference of almost 10 mJ m−2 in surface energies, overall yield of graphene monolayers remain same when exfoliated in DMF and acetonitrile. Moreover, irrespective of similar surface energies for chlorobenzene, DMF and acetonitrile, substantial variation in production yield can be observed (see Fig. 2d and Table I in ESI†). These observations clearly suggest the importance of dielectric constant of the solvents for graphite exfoliation to achieve high fraction of monolayers.
The second observation is that number fraction of graphene layers can be directly controlled with the sonication time. As discussed earlier, by increasing ts from 8 to 12 h, five-fold increase could be observed in number fraction of graphene monolayers. It suggests that overall yield can be increased not only by using appropriate organic solvents but also by optimizing the ts. However, as we have discussed earlier in this article that increase in ts results into cutting of graphene flakes, hence in order to get high production yield and large area of graphene layers, ts should be optimized. In addition to surface energies, polarity of solvent is also playing an important role. Fig. 7 shows the Raman spectra of graphene monolayers exfoliated in low and high k solvents and the difference in the spectra is clearly visible. Graphene monolayers exfoliated in low k solvents (toluene and chlorobenzene) show diminutive D band (1350 cm−1) whereas, in high k solvents (DMF and PC), prominent D band can be seen. It emphasizes the presence of disorders20 in graphene layers exfoliated in low k solvents, is due to marginal functionalization and in high k is due to strong functionalization. This is also supported by DFT calculations which will be discussed later. Effect of the polarity of the solvents has been discussed in detail in our previous work.21
In spite of disorder in graphene's basal plane, we conclude that the effect of structural damage in functionalized graphene layers is quite low (ID/IG ∼ 0.4 and IG/I2D ∼ 0.5; where ID, IG and I2D are intensities of Raman D, G and 2D peaks, respectively) as measured from Raman spectra. FT-IR spectroscopic measurements were also performed to understand the effect of high k solvents on structural changes in graphene monolayers. In addition to in plane CC vibrations (∼1640 cm−1), several other vibrations have also been observed for graphene exfoliated in DMF and PC (g-DMF and g-PC) indicating attachment of functional groups on graphene's basal plane. Vibrational signatures at 1093 cm−1, 2900 cm−1, 3300 cm−1 (and 3800 cm−1) in g-DMF and g-PC corresponds to C–O, C–H and O–H vibrations, respectively indicating the presence of solvent molecules in the proximity of graphene surface. We have also carried out electrical measurements on graphene based field effect transistors (FETs) which illustrates the superior quality of graphene monolayers. We have fabricated FETs based on graphene exfoliated in low and high k solvents. Fig. 7 also shows transfer characteristics of FET based on graphene exfoliated in toluene (g-toluene). Carrier mobility was found to be ∼10
000 cm2 Vs−1 with Dirac point at +1.0 V. These observations, corroborate that graphene exfoliated in low k solvent shows pristine behaviour whereas, in high k solvents there are defects in graphene's basal plane due to functionalization which causes shift22 in VD, asymmetry23 around VD and reduction in carrier mobility24 (see ESI†).
Density functional theory (DFT) has been used to understand, how graphene sheets are functionalized with different organic molecule during exfoliation process (Fig. 8).25,26 Calculations were carried out using DFT with Lee–Yang–Parr correlation functional (B3LYP), with 631G-basis set. To find an energetically favorable structure of graphene with different organic molecules and the interaction strength between graphene and the organic molecules were estimated using DFT with graphene sheet having 150 carbon atoms. The adsorption energy is calculated by subtracting the adsorption energy of the separate systems containing isolated graphene sheets (EGR) or isolated organic molecule (EOM) from the adsorption energy of the combined relaxed system (EGR–OM) and is defined as25 Eb = EGR–OM − (EGR + EOM). It is to be noted that the system (with negative adsorption energy) would be in thermodynamic equilibrium. In our case, for low k solvents (toluene and chlorobenzene), Eb comes out to be positive (∼0.071 eV) and for high k it is negative (∼−2.48 eV). It suggests that high k solvents (acetone, DMF and PC) can be easily adsorbed on graphene's basal plane whereas; low k solvents would not be in close proximity to graphene surface. It has also been noticed that the distance between solvent molecule and graphene surface is relatively high in case of low k solvents (∼4.34 A0) as compared to high k solvents (∼3.32 A0). Hence, high k solvents will introduce more perturbation as compared to low k solvents due to relatively close proximity to the graphene's basal plane. Re-aggregation of dispersed graphene flakes may be an important issue in LPE.27
To check the stability against re-aggregation over longer time scale, variations in number fractions of graphene layers over a span of four months were monitored. We have carried out AFM measurement on several graphene flakes obtained from fresh and aged dispersions. Fig. 9 shows histograms representing the number fractions of graphene layers (exfoliated in toluene) over a time period of 4 months (aged dispersion). We have chosen toluene to check the stability of the dispersion because we get defect free graphene (negligible Raman D band) in toluene so its stability over longer time scale would be of special interest. For old dispersions (t = 1 month and t = 4 months), we see some aggregation of graphene flakes as compared to that of fresh dispersion (t = 0) as number fraction of monolayer graphene reduces from ∼20% (for fresh dispersions) to 2–3% in 4 months old dispersions. However, old dispersions contain individual graphene monolayers suggesting the stability of dispersions over a longer time period of 4 months.
Footnote |
† Electronic supplementary information (ESI) available: Method to calculate yield of graphene monolayers, associated chart and a brief discussion on electronic structure calculations. See DOI: 10.1039/c5ra12464f |
This journal is © The Royal Society of Chemistry 2015 |