Electrochemical Properties of Cvd Grown Pristine Graphene: Monolayer-vs. Quasi-graphene †

We report the electrochemical properties of pristine monolayer, double layer and few-layer (termed quasi-) graphene grown via CVD and transferred using PMMA onto an insulating substrate (silicon dioxide wafers). Characterisation has been performed by Raman spectroscopy, optical spectroscopy, Atomic Force Microscopy and X-ray Photoelectron Spectroscopy, revealing 'true' pristine single-layer graphene (O/C of 0.05) at the former and pristine quasi-graphene at the latter (O/C of 0.07); the term " quasi-graphene " is coined due to the surface comprising on average 4-graphene-layers. The graphene electrodes are electrochemically characterised using both inner-sphere and outer-sphere redox probes with electrochemical performances of the graphene electrodes compared to other available graphitic electrodes, namely that of basal-and edge-plane pyrolytic graphite electrodes constructed from Highly Ordered Pyrolytic Graphite (HOPG), with information on heterogeneous rate constants (k o) obtained. The electrochemical rate constants are predominantly influenced by the electronic properties of the graphene surfaces. Monolayer graphene is found to exhibit slow heterogeneous electron transfer (HET) kinetics towards the redox probes studied, with HET rates ca. 2 and 8 times faster at quasi-graphene and HOPG respectively, relative to that of the monolayer graphene electrode. Critically contrasting the performance of monolayer graphene to quasi-graphene and HOPG electrodes reveals that increasing the number of graphene layers results in improved electrochemical properties, where in terms of the electrochemical reversibility of the probes studied: monolayer-graphene < quasi-graphene < HOPG, as governed by the respective HET electrochemical rate constants. Given that edge plane sites are the predominant origin of fast electron transfer kinetics at graphitic materials, the slow HET rates at pristine single-layer graphene electrodes are likely due to graphene's fundamental geometry, which comprises a small edge plane and large basal plane contribution. In the case of quasi-graphene and HOPG, they possess increasing global coverage of electrochemically reactive edge plane sites (respectively) and thus exhibit superior electrochemical performances over that of monolayer graphene. Last, the case of a double-layer graphene electrode is considered, which as a result of its fabrication possesses a large global coverage of edge plane like-sites/defects. In agreement with the former conclusions, the double-layered defect-graphene electrode is found to exhibit fast/favourable electrochemical properties, which is attributed to its large edge plane content (i.e. defect abundant graphene) and thus is further evidence that the electrochemical response is dependent on the density of edge plane sites at graphene based electrodes (influenced by the coverage of graphene-defects and the number of graphene layers).


Introduction
Graphene, a monolayer lattice comprising hexagonally congured sp 2 bonded carbon atoms, 1,2 is one of the world's thinnest electrode materials.Graphene attracts widespread interest from a plethora of scientic and technological elds due to its reported outstanding and unique array of properties, 2,3 which has resulted in the emergence of a diverse range of graphene based new-generation-devices. 3 One particular area that receives immense interest is the implementation of graphene for electrochemical applications, where benets have been extensively reported in energy storage and generation, sensor fabrication and for various electrical nano-devices. 4n order for future enhancements in graphene-based electrochemical applications to emerge, a greater understanding of the fundamental electrochemical properties of graphene is rst required, which will also lead to an improved comprehension of electrochemistry at other carbon-based materials; an invaluable element for the future progression of electrode design. 1 The main limitations of using graphene are experimental in nature: 5 the rst problem (i) is how to 'electrically wire' and connect to such a material as to explore its individual electrochemical properties without interference from undesired contributing factors (such as impurities, alterations in mass transport, or the electrochemical reactivity of underlying surfaces); and the second issue (ii) is how to reduce aggregation of graphene sheets back to their lowest energy conrmation, that is, graphite, due to the strong p-p interactions between the graphene sheets.
A limited number of fundamental studies on the electrochemical properties of graphene exist; however, such reports generally fall-foul to the above noted experimental limitations or researchers fail to perform the appropriate control experiments with comparable graphitic materials prior to reporting the 'true' electrochemical behaviour of 'graphene'. 1,6As such, the key literature is critically summarised below.
The electrochemistry of an individual monolayer graphene crystal (prepared via mechanical exfoliation) has been reported by Ralph et al. 7 The authors reported a favourable standard heterogeneous electrochemical rate constant, k o , at a graphene ultra-microelectrode (ca.0.5 cm s À1 , as deduced for ferrocenemethanol), indicating that the electrode material exhibited fast heterogeneous electron transfer (HET) kinetics.Comparisons were made to an alternative graphene electrode (fabricated via Chemical Vapour Deposition, CVD) and to the basal plane of highly ordered pyrolytic graphite (HOPG) using similar experimental methods, where k o values were reported as ca. 1 and 2 orders of magnitude smaller than that at the exfoliated 'individual graphene sheet' respectively. 7However, issues in the experimental set-up are apparent, for example comparison of the graphene ultra-microelectrode (ca.117 mm 2 , geometric area) was made to that of larger macro-sized electrodes (the CVD graphene possessed a geometric area of ca.0.19 mm 2 , and although the value for HOPG is not reported this is assumed to be 'larger') and thus with respect to point (i) above, the origin of the improved k o is unclear, with changes in mass transport evident and likely to dominate over the electron transfer activity. 1 In another key study the electrochemical characteristics of micrometer sized graphene electrodes, consisting of single-and double-layer mechanically exfoliated graphene akes, have been reported to exhibit quasi-reversible behaviour during voltammetric measurements in potassium ferrocyanide: 8 note that samples were masked with an epoxy resin to leave an electroactive window/area in the order of 50 mm in diameter.The authors demonstrated that while their graphene surface had a low level of defects (broken/dangling/missing bonds etc.), fast electron transfer was observed due to the defects that were present on the graphene surface (most likely introduced due to the mechanical stresses involved when obtaining graphene from graphite using the exfoliation method) 9 and resultantly similar voltammetric responses were observed at both the single-and double-layer graphene due to only the top layer of the graphenes being exposed.Through further critical analysis of this work it must be noted that the Raman spectrums provided do not indicate the presence of single-layer graphene, rather that of multi-layered graphene samples. 8Moreover, as was the case with the previous report (and in conict of point (i) above) 7 mass transport effects likely dominate over the electron transfer activity in this case as a result of setting the graphene in epoxy resin, which likely gives rise to a recessed electrode where the mass transport characteristics will be quantitatively changed. 1,10undamental electrochemical studies on large area graphene domains have also been reported.Key insights into the electrochemical reactivity of pristine graphene have been provided through the modication of graphene onto basal plane-and edge plane-pyrolytic graphite (BPPG and EPPG respectively) electrodes, as is common place in the literature in order to 'electrically connect' to the graphene under investigation. 6The authors utilised a plethora of electroactive probes that are well characterised on graphitic materials, nding that at each of the probes studied pristine graphene exhibited slow HET behaviour, effectively blocking electron transfer at the underlying support substrates; which exhibited either slow (BPPG) or fast (EPPG) HET characteristics in order to fully de-convolute the 'true' graphene contribution. 6Although the above study diligently reported appropriate control experiments involving unmodied graphite electrodes and varied the electrochemical reactivity of the underlying substrate for greater clarity, 6 in-line with point (i) above, critical analysis suggests that the use of an electrochemically active substrate gives rise to contributing factors affecting the observed response at graphene, which must be deconvoluted.Furthermore, conicting with issue (ii) above, due to the drop-casting method utilised to immobilise the graphene onto a suitable electrode substrate, it is likely that the pristine graphene sheets coalesce in situ on the substrate surface giving rise to quasi-graphene and graphite structures. 1 Note that quasi-graphene is dened as an intermediate phase between graphene and graphite, 5 generally comprising stacked graphene sheets consisting of $2 and #7 layers, 5 where 1 layer implies graphene and $8 layers implies the structure of graphite (as determined by scanning electrochemical cell microscopy (SECM) and Raman spectroscopy in terms of evolution of the electronic structure). 11,12arious methods exist for fabricating graphene, 1,9 of which CVD appears ideally suited to explore the 'true' electrochemical characteristics of graphene due to the prevalence of volumeproduced, large surface area, uniform graphene sheets which possess extremely low defect densities and thus exhibit 'outstanding' electrical conductivity. 9Although this method gives rise to pristine graphene, note that tailoring of the graphene lms (in terms of layer numbers, orientation and impurity levels) is possible through variation of the procedural parameters. 9,13A major advantage of CVD synthesised graphene is that following growth onto a catalytic metal surface, the resultant high quality single layer graphene lms are readily transferable onto a multitude of substrates for electrochemical investigation. 9,13,14Aer transfer onto an insulating substrate the graphene maintains its high quality and subsequently can be characterised in situ prior to electrochemical measurements; overcoming both points (i) and (ii) from earlier once effectively 'housed' in order to connect to the graphene and dene the geometric 'working surface area' (see Experimental section).For example, Pumera et al. 15 have recently explored the electron transfer properties of a CVD grown multi-layer graphene lm aer transfer onto an insulating exible substrate, demonstrating that it is possible to retain the electrochemical properties of graphene following transfer. 15rom the above reports we note that currently, to our knowledge, there are no literature reports concerning the evaluation of graphene's fundamental electrochemical properties through the utilisation of a single layer CVD fabricated macroscopic graphene lm that has been subsequently transferred onto an electrochemically inert substrate and through its comparison with multi-layer graphene and graphitic electrodes, in order to provide a thorough overview.
Inspired by the limited number of fundamental reports and the benets of utilising CVD grown graphene aer transfer onto a suitable insulating substrate, herein we investigate the electrochemical characteristics of pristine graphene electrodes; ensuring the elimination of other contributing factors.We report the electrochemical properties of pristine monolayer and few-layer (termed quasi-) graphene grown via CVD and transferred using PMMA onto an insulating substrate (silicon dioxide wafers).Characterisation has been performed by Raman spectroscopy, optical spectroscopy, Atomic Force Microscopy and X-ray Photoelectron Spectroscopy, revealing 'true' pristine single-layer graphene (O/C of 0.05) at the former and pristine quasi-graphene at the latter (O/C of 0.07); the term "quasi-graphene" is coined due to the surface comprising on average 4 graphene-layers.A specially designed graphene electrochemical cell is utilised to perform electrochemical characterisation of the graphene surfaces in order to correlate the macroscopic responses of the graphene, which has not yet been fully reported within the literature.
The graphene electrodes are electrochemically characterised using both inner-sphere and outer-sphere redox probes, namely potassium ferrocyanide(II), hexaammine-ruthenium(III) chloride and N,N,N',N'-tetramethyl-para-phenylenediamine (TMPD).The electrochemical performance of the graphene electrodes are compared to other available graphitic electrodes, namely basaland edge-plane pyrolytic graphite electrodes constructed from Highly Ordered Pyrolytic Graphite (HOPG), with information on the heterogeneous rate constants (k o ) obtained.This approach allows the electrochemical activity to be correlated as a function of the number of graphene layers over the macroscopic response.Through the diligent use of appropriate control experimentation and through the determination of HET kinetics at each material, we reveal vital insights into the fundamental electrochemistry of graphene and graphitic electrodes, providing acuity for the future design of carbon based electrodes for both fundamental exploration and the continued development of enhanced electrochemical devices/applications.

Physicochemical characterisation
We rst consider the structural characterisation of the CVD grown graphene materials via optical spectroscopy and AFM analysis.Fig. 1A and 2 depict the resultant optical and AFM images of the monolayer CVD grown graphene macrostructure.It is evident that the graphene domains comprising the material consist predominantly of single-layer graphene sheets, which appear to exhibit an intraplanar microcrystalline size, L a of between 500 and 5000 nm and an average interplanar microcrystalline size, L c of ca.0.34 nm (one monolayer), which compares well to pristine graphene as reported theoretically in the literature. 1 The optical image in Fig. 1A highlights occasional holes in the continuous graphene lm and also reveals the presence of occasional small few-layer graphitic islands on the graphene surface.Closer inspection of the AFM images depicted in Fig. 2 reveals the presence of ripples/wrinkles at the grain boundaries of the monolayer graphene domains, which are an inherent property of CVD grown graphene. 9Note that these structural features, present at the 'edge sites' of these graphene akes/domains (i.e. grain boundaries), are likely to be the origin of the electron transfer properties observed at the graphene electrode and thus inuence the observed electrochemical response, potentially giving rise to benecial HET kinetics (vide infra). 1,9Fig. 1B and 3 depict the respective optical and AFM images of the CVD grown quasi-graphene macrostructure.It is evident that the graphene domains comprising the surface possess average L a values similar to those observed for the monolayer graphene alternative (vide supra); however, in this case it is clear that the graphene material consists of a single-/few-layer graphene support lm (which as above is continuous, with occasional holes, cracks and ripples occurring at grain boundaries) over which large few-layer graphitic domains (graphitic islands) are distributed across the surface.These multiple layers of stacked graphene sheets, so-called graphitic islands, 16 result in the few-layer graphene domains/ islands possessing large L c values (L c ranges from ca. 0.34 to 2.38 nm, i.e. 1-7 layers with an average of 4 graphene layers); however, such values do not correspond to the structural characteristics of graphite 11,12 and thus the composition of the CVD grown few-/multi-layer graphene electrode is consistent with that expected for quasi-graphene. 5,17 gain further insight into the above observations, Raman spectroscopy was next performed on the graphene macrostructures.Fig. 4A depicts the Raman spectrum of the 'monolayer' graphene lm in addition to an optical micrograph of the probe position upon the domain surface.The Raman spectrum reveals two characteristic peaks at ca. 1550 and 2680 cm À1 , which are due to the G and 2D (G 0 ) bands respectively.Note that the highly symmetrical 2D (G 0 ) peak indicates that the surface is comprised of single-layer graphene (consistent with AFM and optical images, vide supra, Fig. 1A and 2). 12Additionally, the intensity ratio of the G and 2D bands (G/2D ¼ 0.37) indicates that the graphene electrode is indeed comprised principally of single-layer graphene domains, where the low intensity of the G band in relation to the 2D peak is characteristic of monolayer graphene. 12The presence of a small D band (1330 cm À1 ) Fig. 2 AFM images of the monolayer graphene, successive images are progressively focused into the sample.indicates a small number of structural defects on the graphene surface (limited basal plane crystal defects), however the relatively low intensity of the D band, which is not easily distinguishable from the 'base line', suggests that an ordered graphene structure is present which is of high quality and thus represents that of pristine graphene in nature. 12Fig.4B depicts the respective optical micrograph and Raman spectrum of the 'few-/multi-layered' (quasi-) graphene lm.The Raman spectrum reveals the two characteristic peaks (G and 2D (G 0 )) of graphene/graphitic materials at ca. 1550 and 2680 cm À1 . 12The high symmetry of the 2D (G 0 ) band peak, indicates that the surface comprises single-to few-layer graphene sheets (the slightly broader peak signies the presence few-layer graphene, which is consistent with AFM and optical images, vide supra, Fig. 1B and 3).Note that the 2D peak does not indicate the presence of graphite, which is characterised by a nonsymmetrical, broad peak with distortion evident in the form of a 'shoulder'. 12In this case the intensity ratio of the G and 2D bands (G/2D ¼ 1.22) also indicates the presence of few-layered graphene domains, with the relatively equal intensities of the G and 2D peaks coinciding with the presence of ca. 3 or 4 graphene layers (for this probe position), 12 which again is consistent with that expected for the structural conguration of quasigraphene. 5,17The low/faint intensity of the D band (1315 cm À1 ) again suggests that in this case the quasi-graphene is of high quality and a pristine in nature, possessing a low level of basal plane crystal defects across its lattice. 12Note that increasing the number of graphene layers towards the structural composition of graphite would result in evolution of the G peak intensity such that it would signicantly surpass that of the 2D peak, characterised by G/2D ratios exceeding 3.75 (in addition to the emergence of the 'shoulder' effect noted above); thus it is clear that none of the graphene samples utilised in this study display similar structural characteristics relating to graphite.
Close inspection of the optical micrographs presented in Fig. 4 reveals the presence of thicker graphene islands distributed predominately across the quasi-graphene domain.These multi-layered/defect site domains were probed via Raman spectroscopy and the resultant spectrums are presented in the ESI (Fig. S1 †).Surprisingly, analysis of the Raman spectra in these cases at both the mono-and quasi-graphene materials indicate no signicant alterations in the reported G/2D band ratios from the values reported above and thus indicate that the number of graphene layers remain unaltered.However, what is evident (again predominately in the case of the quasi-graphene) is an increment in the intensity of the D band (ca.1330 cm À1 ) at such sites.This is as expected due to the D band relating directly to the degree of edge plane defects across the graphene surface,  where the visible graphitic islands depicted in Fig. 4B give rise to a larger coverage of edge plane like-sites/defects on the quasigraphene surface, resulting from the exposed 'edges' of these few-/multi-layered graphene domains.Fig. 5 depicts Raman maps that were obtained over a relatively large central area of the graphene surfaces in order to ascertain the overall quality of the graphene present on the monolayer graphene (Fig. 5B and C) and quasi-graphene (Fig. 5E and F) materials.The Raman maps are in excellent agreement with analysis obtained via the individual Raman probe positions and with the AFM images (see Fig. 2 and 3).Fig. 5B and E represent variations in the intensity of the 2D/G peak ratios over the area analysed on the monolayer and quasi-graphene samples respectively, with the darker spots (relative to the scale provided) indicating thicker graphene regions.It is evident that the 'monolayer graphene' indeed comprises a single-layer continuous graphene lm (indicated by the uniform distribution of 'lighter pixels') with occasional defects or islands present (i.e. the darker spots in Fig. 5B).In contrast the quasi-graphene possesses a large number of apparent multi-layered islands distributed across the surface, each with varying thickness as indicated by the severe contrast observed between multiple 'light' and 'dark' patches.Fig. 5C and F represent variations in the Full Width at Half Maximum (FWHM) of the 2D peak over the areas analysed on the monolayer and quasi-graphene surfaces respectively.The width of the 2D peak is related to the quality of the graphene present, where 'thinner' peak widths (darker pixels) indicate pristine single layer graphene and 'thicker' (more perturbed) peak widths (lighter pixels) are indicative of thicker graphene layers (as discussed earlier).The even distribution of colour in both maps (Fig. 5C and F) indicates pristine graphene is present on both samples, however relative to the scale provided, the 'darker' colouring of the map representing the monolayer graphene (Fig. 5C) is indicative of single-layer graphene relative to the 'lighter' colouring of the quasi-graphene indicating the presence of multi-layered graphene.
Finally, XPS was conducted on the two graphene materials.De-convolution of the spectra relating to the monolayer graphene domain (Fig. S2, ESI †) reveals it to be composed of 42.73% carbon, 27.72% oxygen and 29.55% silicon.The carbon content comprises of 32.15% corresponding to 284.8 eV which is characteristic of graphitic groups, and 10.27% at 286.6 eV which corresponds to C-O and C]O bonds.Of the oxygen content, 2.1% is comprised from contributions at 287.9 and 533.15 eV, which correspond to C]O and C-O groups.Note that contributions from the silicon (29.55%) and remaining oxygen content (25.62%) are a result of the probe depth (ca.2-3 nm) given that the thin graphene lm is supported on top of an oxidised silicon wafer.In considering only the carbon and oxygen contributions arising from the graphene material (which are exposed only to the solution when used in electrochemistry), XPS reveals the monolayer graphene to comprise a O/C ratio of ca.0.05, which is consistent with that of a low oxygen content of the graphene domain and thus is pristine in nature.De-convolution of the spectra relating to quasi-graphene (Fig. S3, ESI †) reveals it to be composed of 61.50% carbon, 20.06% oxygen and 18.44% silicon (note that due to the probe depth (vide supra) and the increased thickness of the multilayered graphene surface, in this case the % contribution of carbon has increased and the respective % contribution of silicon has decreased; as expected).The carbon content comprises of 45.62% corresponding to 284.6 eV which is characteristic of graphitic groups, and 8.05 and 6.64% at 285.7 and 286.9 eV respectively which correspond to C-H, C]C, C-O and C]O bonds.In this case, of the oxygen content 4.4% is comprised from contributions at 287.9 and 533.15 eV.As above, the silicon (18.44%) and the remaining oxygen content (15.66%) contributions are a result of the probe depth utilised (which penetrates the support surface).For the case of the quasi-graphene, considering only the carbon and oxygen contributions arising from the graphene material, XPS reveals a O/C ratio of ca.0.07, which is consistent with inferences gained through Raman spectroscopy and indicates that the quasi-graphene structure is comprised of pristine graphene domains.In summary, we have fully characterised our graphene samples which have been fabricated via CVD and transferred onto an inert SiO 2 substrate utilising a PMMA transfer process.The monolayer graphene lm comprises 97% single-layer graphene domains with occasional small multi-layered graphene islands and possesses a O/C ratio of ca.0.05, indicating the presence of pristine monolayer graphene.The quasi-graphene lm comprises 95% graphene coverage with the thickness of individual graphene domains varying from 1 to 7 layers, with an average of 4 graphene layers (on top of which the multi/fewlayered graphene islands are situated) and possesses a O/C ratio of ca.0.07, indeed indicating the presence of quasi-graphene.

Electrochemistry at monolayer-and quasi-graphene (vs. HOPG)
Prior to the electrochemical utilisation of the fully characterised graphene materials (vide supra) it is rst necessary to incorporate the CVD grown graphene chips into a specially designed graphene electrochemical cell connector, giving rise to the respective graphene electrodes.Fig. 6 depicts the experimental set-up of the graphene electrochemical cell utilised to fabricate the graphene electrodes and further details are available in the 'Experimental section'.The main benets of this approach is that one is actually electrically wiring to the graphene and thus achieving an efficient electrical connection, but also such that the working electrode area is consistently dened for all the graphene samples being interrogated.Once securely 'housed' the design of the electrochemical cell ensures that the graphene material is the only electrochemically active surface that is in contact with the solution during electrochemical measurements.Note that prior work has not fully achieved this, for example, the connection methodology used to connect/wire to the graphene has been exposed to the solution in some cases, which dominates the electrochemical response and gives rise to false indications of electrochemistry at graphene.

Inner-sphere electrochemical characterisation
We rst turn to electrochemically characterising our CVD grown graphene electrodes towards the widely used inner-sphere electrochemical redox probe, potassium ferrocyanide(II).Fig. 7 depicts typical cyclic voltammograms obtained at well-known and widely characterised EPPG and BPPG electrodes (constructed from HOPG).It is evident that the EPPG and BPPG electrodes both exhibit a pair of well-dened redox peaks, with peak-to-peak separations (DE P ) of ca.97.7 and 190.4 mV respectively (at 100 mV s À1 ); such values are in excellent agreement with prior literature. 6Note that the DE P is an important factor to consider in terms of the performance of an electrode material and is used to determine the HET rate (see Experimental section), where smaller DE P values represent an increased reversibility in the electrochemistry at the redox probe utilised and thus faster HET kinetics at the given electrode material, which is generally benecial in numerous instances.The electrochemical response observed at a carbon based electrode material utilising an inner-sphere redox probe is inuenced by the density of electronic states (DoS) near the Fermi level of the said material and more signicantly by the surface microstructure, for example in terms of the presence of oxygenated species (which are either benecial or detrimental) or the surface cleanliness. 1,17In particular, it is known that the presence of edge plane like-sites/defects on graphitic materials signicantly accelerates the observed electron transfer processes, leading to improved HET at electrodes with a large Fig. 7 Cyclic voltammetric signatures obtained using potassium ferrocyanide(II) at EPPG (black), BPPG (blue), quasi-graphene (q-graphene, green) and monolayer graphene (m-graphene, red) electrodes.Scan rate shown for each electrode: 100 mV s À1 (vs.SCE).The dotted circle area is a zoomed in portion of the voltammetric window, highlighting the heterogeneous electrode response of the quasi-graphene which gives rise to two distinctive voltammetric signatures.Shown is a separate scan of the region indicated with quasi-graphene using the same parameters except with limiting the potential window.
surface coverage of edge plane like sites. 18Returning to the response observed at the EPPG and BPPG electrodes in Fig. 7, the former exhibits superior electrochemical properties over that of the later since the EPPG electrode has a high global coverage of edge plane sites (which exhibit anomalously fast electron transfer rates over that of basal plane sites). 18onversely, the BPPG electrode, due to its structure, has a low global coverage of edge plane sites and hence a poor voltammetric activity is exhibited, in terms of a larger DE P , when contrasted to the EPPG. 1,6he electrochemical response of the monolayer graphene (m-Graphene) was next explored towards the Fe(CN) 6 3À/4À probe.A typical cyclic voltammetric prole is depicted in Fig. 7, which exhibits a large DE P value of ca.1147.5 mV (at 100 mV s À1 ).This response is unique in terms of the extent of the irreversibility of the redox probe observed at the single-layer graphene electrode, with such a large DE P value indicating slow HET kinetics.The electrochemical response of the quasi-graphene (q-Graphene) is also presented in Fig. 7 which reveals an interesting occurrence.In addition to a large DE P of ca.1242.7 mV (at 100 mV s À1 ), again with the large DE P indicating slow and unfavourable HET kinetics, closer inspection reveals the presence of an additional voltammetric process, which is shown for clarity as an insert within Fig. 7.This unique latter response indicates changes in the mass transport of the electroactive analyte which is akin to that of a microelectrode, indicating a change from linear (expected for macroelectrodes) to non-linear diffusion (observed at micro/nanoelectrodes).Since the response is only evident when utilising the quasigraphene electrode it is highly likely that the response originates from the multi-layer islands that are comprised of ca. 4 graphene layers (see characterisation above) which are supported upon a single underlying layer of graphene.Note that the effect of scan rate was explored upon the voltammetric response where a plot of 'peak height' against 'log 10 scan rate' was found to be non-linear over the experimentally chosen scan rate range, which is due to the mass transport being dominated by nonlinear diffusion, as has been observed for nano-band type geometric electrodes (deviation from this is observed when linear diffusion becomes dominant; usually following the application of very fast voltammetric scan rates or if the geometric size is micron-sized). 17As shown in the insert of Fig. 7, the response is distinctively and quantitatively different from that observed in the case of the EPPG and BPPG despite comprising the same electrode area.If we assume that such a graphene island is comprised of (on average) 4 graphene layers, where only the edge plane sites are active and neglect any defects upon the basal sheets, 18 we have an electrode which is nanoscopic in width and microscopic in length; akin to a nanoband type electrode.As such, the Faradaic current can be predicted by the following equation for the current at a hemicylinder of equivalent area: where n is the number of electrons involved in the reaction, F is the Faraday constant, D is the diffusion coefficient of the electroactive species, C the concentration of the redox probe, l (cm) is the length of the micro/nanoband, and Q ¼ Dt/(w/p) 2 , where w (cm) is the width of the band and t ¼ RT/Fy, where y is the voltammetric scan rate.From inputting the typical geometric features of our graphene island (8.64 mm length (based on an average island diameter of 2.75 mm), 4 layers thick (1.36 nm)) into eqn (1) the current predicted is 213.0 nA for one quasi-graphene island.Hence, the response observed in Fig. 7 (insert) is a multiple of eqn (1) since there is more than one such graphene island comprising the electrode surface.As such, eqn (1) can be adapted to be i graphene ¼ i Â N, where i graphene is the current observed for the graphene surface, i is dened by a graphene island (eqn (1)) and N is the number of graphene islands comprising the electrode surface.Such an arrangement is similar to that of a micro/nano electrode array where the main consideration is the diffusional zones and their interaction between neighbouring micro/nano electrodes.Since the observed voltammetric prole (insert of Fig. 7) is clearly sigmoidal shaped, it is highly likely that the diffusional zones do not interact. 17t is important to note that in the case of inner-sphere redox probes the electrochemical response obtained is dependent on both the electronic structure and the content of oxygenated species comprising carbonaceous electrode materials.In the case of quasi-graphene, the structural composition satises both these conditions and as such we observe two voltammetric proles due to the heterogeneous nature of the graphene surface; the response of the graphene islands with adequate carbon-oxygen content and also the response of the underlying supporting graphene (which exhibits a similar voltammetric characteristic to that observed at the pristine monolayer graphene electrode) which has a very low proportion of edge plane defects across its surface and a level of suitable surface oxygen groups residing at these sites, thus overall exhibits large/ unfavourable DE P values and electrochemical properties.

Outer-sphere electrochemical characterisation
We now consider the electrochemical characterisation of the graphene electrodes using the outer-sphere redox probes TMPD and hexaammine-ruthenium(III) chloride.We utilise these wellknown and widely characterised outer-sphere electrochemical redox systems due to the outer-sphere system being dependent only on the electronic structure (DoS) of carbon based electrode materials and thus the degree of edge plane sites, which offers useful insights.).Such values are in excellent agreement with literature reports where it is well documented that an electrode surface with a large global coverage of edge plane like-sites/defects gives rise to fast heterogeneous electron transfer. 6,18What is insightful, and never before reported in the literature, is that the quasi-and monolayer graphene electrodes give rise to dramatically larger DE P separations over that of the graphite electrodes, namely values of ca.183.1 and 227.1 mV respectively (at 100 mV s À1 ).Such a response has, to the best of the authors' knowledge, never been reported for graphite/graphene electrodes using this redox probe since the most important factor affecting the rate of reaction is the electronic properties of the electrode, explicitly the potential-dependent electronic DoS near the formal potential of the redox system. 20In terms of graphitic electrodes this is usually observed to a limit where an electrode with a relatively low edge plane coverage (1-10%) gives rise to a near-reversible electrode response. 18In terms of semi-conducting/metallic diamond, the DoS is important and HET becomes worse/slow at diamond with decreasing boron doping levels. 20Thus in this case, in terms of the response of graphene, we observe a clear dependence on the surface morphology with HET which has never before been reported.
Ru(NH 3 ) 6 3+/2+ is classed as an outer-sphere electrochemical redox probe, involving a simple electron transfer on most graphitic electrodes and thus the electrode kinetics are relatively insensitive to the surface microstructure, surface oxides and adsorbed monolayers on sp 2 carbon electrodes. 1 The rate of reaction is insensitive to surface modication, indicating that electron transfer does not depend on interaction with a surface site or functional group.The most important factor affecting the rate of reaction is the density of electronic states (DoS) near the formal potential of the redox system: as noted above in the case of metallic and graphite electrodes, usually there is not a low DoS and this is seldom an issue, and is only seen at borondoped diamond electrodes (semi-conducting/semi-metallic diamond) where the DE P increases at diamond with decreasing boron-doping level (vide supra). 17In our experiments we observe, for the rst time, a clear dependence of the effects of electronic structure (density of states, DoS) upon the electrochemical response of the TMPD and Ru(NH 3 ) 6 3+/2+ probes, as evidenced by the dramatic changes in the DE P values, which increase signicantly as we utilise fewer graphene layer numbers.Such results indicate that there is a reduction in the HET kinetics at graphene electrodes as the surface composition/morphology comprises fewer layers and thus comprise less edge plane content than those structures consisting of multiple graphene layers viz graphite.
The effective heterogeneous electron transfer rate constant, k o eff , was estimated using the Nicholson method (see Experimental section) which is applicable for quasi-reversible systems.Consequently k o eff is determined to correspond to 1.81 Â 10 À3 , 3.25 Â 10 À3 , 19.3 Â 10 À3 and 53.2 Â 10 À3 cm s À1 for monolayer-graphene, quasi-graphene, BPPG and EPPG respectively using the TMPD redox probe and to 1.11 Â 10 À3 , 1.58 Â 10 À3 , 3.80 Â 10 À3 and 8.77 Â 10 À3 cm s À1 for the monolayer-graphene, quasi-graphene, BPPG and EPPG electrodes respectively utilising the Ru(NH 3 ) 6 3+/2+ redox probe.As expected the two data sets support the inferences made earlier where the monolayer graphene electrode possesses the smallest/slowest k o eff when contrasted to the quasi-graphene and HOPG alternatives, indicating unfavourable electrochemical properties and a poor electronic structure (DoS) at true singlelayer pristine graphene.It is apparent however, that increasing the number of graphene layers from mono-to quasi-graphene (ca. 4 layers) and graphite ($8, however utilising BPPG in this case) results in an average improvement of ca.1.7 and 7.5 times faster k o eff kinetics generally for when one is utilising the same geometry and only increasing the number of graphene layers (i.e.BPPG possesses same 'at' geometry), and interestingly for EPPG (which has favourable orientation allowing a larger portion of its edge plane sites to be accessible to the solution) this exhibits HET rates on average 21.2 times faster than that of monolayer graphene. 1,17he term "effective electron transfer rate constant" is used since the graphene surfaces are electrochemically heterogeneous and the response is clearly dependent on the population of edge plane like-sites/defects.Using the k o eff values determined for the Ru(NH 3 ) 6 3+/2+ redox probe and a value of 0.4 cm s À1 for k o edge for Ru(NH 3 ) 6 3+/2+ , 18 the global coverage of edge plane sites can be readily deduced from k o eff (graphene) ¼ k o edge (q edge ) where the global coverage is given by: q edge -(graphene) z Q edge (graphene). 18From analysis of our data (see Fig. 8B) we deduce edge plane coverages (Q edge (graphene)) of 2.2 and 0.95% for the EPPG and BPPG electrodes respectively, which is well within the 1-10% edge plane defect range expected and reported. 18This benchmarks our system giving condence that the approach will be valid for our graphene surfaces.
Using the same approach we deduce edge plane coverages (Q edge (graphene)) of 0.39 and 0.28% for the quasi-and monolayer-graphene electrodes respectively.This analysis clearly highlights that the % of edge plane coverage is extremely low on our graphene materials, hence explaining the observed voltammetric proles.Thus the surface of the pristine single-layer graphene comprises a low coverage of edge-plane sites/defects, which given that they are the predominant source of electron transfer, 18 results in poor electrochemical performances.However, as the number of graphene layers is increased from monolayer, to quasi-and nally to BPPG, there is an increment in the % coverage of edge plane sites at each of the electrode materials, which is as expected, and resultantly improvements in the electrochemical responses can be observed.Note also that whilst BPPG is that of graphite (HOPG), EPPG has favourable orientation of the edge plane sites and thus exhibits the largest coverage of reactive edge plane sites, and hence the most reversible electrochemistry and superior HET rates are observed at this electrode conguration.
Above we have shown, for the rst time, the 'true' electronic properties of electrodes comprising single-layer and quasi-layer pristine graphene lms.It is evident from the range of electrochemical redox probes utilised (from simple outer-sphere to more complex inner-sphere electron transfer mechanisms) that pristine monolayer graphene exhibits unfavourable HET kinetics in terms of possessing small/low k o values relative to the other graphitic materials utilised with an increased number of graphene layers comprising their structure.Through analysis of the % coverage of edge plane contribution at the various graphitic electrodes, the response of graphene correlates to a low coverage of said sites, which is as expected given its geometry (where its pristine structure comprises predominantly of basal plane contribution). 1 Unsurprisingly the graphitic structures utilised with geometries comprising stacked/thicker graphene/graphite structures are shown to possess larger % coverages of electrochemically reactive edge plane sites, where resultantly a correlation between greater edge plane coverage and faster HET rates (improved electrochemical properties) is evident at the graphitic electrodes.In terms of the current literature, never before has monolayer graphene and quasigraphene been directly compared and contrasted with graphitic electrodes (HOPG).It is satisfying to note that work by Unwin et al., 11 utilising SECM to study the relationship between the structure and properties of micro-graphene domains, supports the observations and inferences drawn in this paper, where it was shown that HET rates at graphene increased as the structure evolved into multi-layered graphene.
It is next insightful to consider the electrochemical response arising from utilising a graphene electrode that possesses a high global coverage of edge plane like-sites/defects.Fig. 9 depicts AFM images of a double-layer CVD grown graphene macrostructure (an optical image of the graphene macrostructure is shown in Fig. S4, ESI †).It is evident that the graphene domains comprising the material possess a large number of surface defect sites, where 'cracks' are observable between/ throughout the double-layer graphene domains.Also evident is the distinction between the AFM images of the monolayer graphene (Fig. 2) and this two-layer sample (Fig. 9), with the latter possessing a 'bulky' topography (i.e.wrinkles and ripples characteristic of single-layer graphene are absent in the doublelayer graphene).Raman spectroscopy of the double-layer graphene is shown in Fig. 10A, revealing the two characteristic G and 2D peaks of graphitic materials at ca. 1580 and 2800 cm À1 respectively.As with the previous two graphene materials characterised (see earlier), the high symmetry of the 2D peak indicates the presence of pristine graphene.The intensity ratio of the G and 2D bands (G/2D ¼ 0.86) evident in Fig. 10A indicates the presence of double-layered graphene domains given that the relatively equal intensities (with only a minimal reduction in the G peak relative to the 2D peak) coincide with previous reports for two-layer graphene.12c Raman mapping (which is presented in Fig. 10C and D) was again utilised to validate the overall quality of the graphene sample, which indeed conrmed the inferences gained via AFM and Raman analysis using a single probe position.Fig. 10C and D conrm that the double-layer graphene macrostructure is comprised of a uniform two-layer graphene domain, on top of which occasional graphitic islands exist.Also evident in Fig. 10C is an observable 'crack', which indicates the presence of an edge plane like-site/defect (i.e. a grain boundary).XPS was next conducted on the double-layer graphene material.De-convolution of the spectra (Fig. S5, ESI †) reveals a composition of 29.21% carbon, 30.12% oxygen and 39.06% silicon.The carbon content comprises of 18.7% corresponding to 284.5 eV which is characteristic of graphitic groups, and 8.73 and 1.78% at 286.1 and 288.9 eV respectively which correspond to C-H, C]C, C-O and C]O bonds.Of the oxygen content, 0.82% is comprised from contributions at 535.4 eV.The silicon (39.1%) and the remaining oxygen content (29.3%) contributions are a result of the probe depth utilised (which penetrates the support surface, see earlier).For the case of the double-layer defect-graphene, considering only the carbon and oxygen contributions arising from the graphene material, XPS reveals a O/C ratio of ca.0.03.In summary, the physicochemical characterisation of the double-layer graphene lm shows it to be comprised of 95% graphene coverage, with an average thickness of two-layers across the graphene domains, however with a large number of structural defects/islands giving rise to a high global coverage of edge plane like-sites/defects.
The electrochemical response of the (edge plane abundant) double-layer defect-graphene electrode is shown in Fig. 11 towards the outer-sphere redox probes TMPD and Ru(NH 3 ) 6 3+/2+ , with DE P values of ca.112.3 and 128.5 mV respectively (at 100 mV s À1 ).Through employment of the appropriate scan rate studies the k o eff was estimated as reported earlier, corresponding to 6.53 Â 10 À3 and 3.12 Â 10 À3 cm s À1 at the TMPD and Ru(NH 3 ) 6 3+/2+ redox probes respectively; with the latter value relating to an edge plane coverage (Q edge (graphene)) of 0.78% for the double-layer defect-graphene electrode.Through comparison of the respective k o eff values, it is clear that the double-layer defect-graphene exhibits favourable HET rates relative to the pristine monolayer and quasi-graphene electrodes.Also evident is that the performance of the double-layer graphene does not surpass that observed at the HOPG electrodes.Considering that the domain edges are somewhat sealed in monolayer graphene, while the edge of basal planes are exposed in HOPG, it is the response at double-layer defect-graphene that is interesting and of critical importance here, because it is neither bulk nor monolayer.Given that favourable k o values are observed at the double-layer defect-graphene relative to the monolayer graphene (with few double-layered islands distributed across its surface, see characterisation), it is apparent that simply introducing an increased number of edge plane defect sites across the surface of a graphene macrostructure (opposed to increasing the number of graphene layers in order to give rise to increased edge plane coverage) results in improvements in the electrochemical behaviour of said electrode material.Hence, in support of earlier inferences, there is a clear correlation relating observed improvements in the electrochemical performance of the given graphitic electrode to increased global coverages of edge plane like-sites/defects comprising the electrode surface.
A further experiment was conducted where the intrarepeatability of each graphene electrode was tested.Following the initial experiments performed over the voltammetric scan rates stated, the graphene electrodes were taken out of the test solution (and removed from the CVD 'housing' unit) before being thoroughly rinsed/washed with deionised water and the voltammetry repeated (once efficiently 're-housed') using the Ru(NH 3 ) 6 3+/2+ redox probe (N ¼ 3).Interestingly, over the course of the repeat experiments the electrochemical response was observed to degrade (resulting in larger DE P and smaller I P values for the later repeats) at each of the graphene electrodes utilised.The % Relative Standard Deviation (% RSD), when calculated as an average across the full range of voltammetric scan rates utilised, was found to be 60.8% (DE P ) and 20.5% (I P ) using the monolayer graphene, 43.3% (DE P ) and 13.7% (I P ) using the double-layer defect-graphene, and 14.0% (DE P ) and 8.3% (I P ) using the quasi-graphene electrode.This observation has never been reported before in the literature when utilising graphene electrodes and is likely due to the physical stresses applied on the sample surface when washing said electrodes (disrupting/destroying the graphene surface) or through voltammetric induced surface changes (although repeat voltammetric scans eluding the 'washing' step revealed no such changes).The exact origin is unknown at this time and could possibly indicate a limitation of these graphene electrodes; further work is underway.Of further interest is that the % RSD values appear to reduce with increased numbers of graphene layers, where it is likely that the underlying graphene layers may become exposed on multi-layered structures and contribute such that the electrochemical response is 'maintained'.
Conversely, such underlying layers are not 'available' with respect to the single-layer graphene sample, resulting in the degradation of the electrochemical response relative to the monolayer surface.Last, it is illuminating to consider the further potential implications of graphene's geometry and thus unfavourable HET properties on its electroanalytical performance (the peak height, I P ).Re-inspection of Fig. 7 and 8 reveal that in terms of the voltammetric I P , monolayer graphene exhibits reduced magnitudes in the current passed at each of the redox probes utilised when its performance is contrasted to that of the other graphitic materials.Again (as observed above in the case of considering the HET rates) there is a distinct correlation evident between the % coverage of edge plane sites and the magnitude of the electroanalytical signal (I P ) produced.This work has shown that increasing the number of graphene layers comprising an electrode material (evolution from monolayer to quasi-graphene and to BPPG) results in improved electrochemical responses, with further improvements evident when altering the geometry to exhibit higher degrees of edge plane sites (such as the distinct BPPG and EPPG responses).As the monolayer graphene has the lowest proportion of edge plane like/sites-defects it will give rise to the smallest peak current since the peak current is proportional to the 'active area' and the analytical response will be far from optimal, with the best and most favourable responses originating from multi-layer graphene (which is structurally similar to graphite); hence an edge plane pyrolytic graphite electrode is the obvious choice for electroanalysis since it can additionally be mechanically polished between voltammetric experiments. 21

Conclusions
In summary, we have, for the rst time, directly shown a correlation in the structure of graphene, in terms of its number of layers directly upon its electrochemical performance.It is found that the macroscopic electrochemical response of graphene is highly dependent on the number of graphene layers which determines its electrochemical behaviour, which in turn corresponds to the density of edge plane like-site/defects comprising its structure.
Given that pristine monolayer graphene has a low degree of edge plane coverage compared to the multi-layered structures of quasi-graphene and HOPG, in comparison it possesses poor/ slow electrochemical properties in terms of HET kinetics.In scenarios when favourable/fast HET rates are required, recourse to quasi-graphene and edge plane of HOPG is suggested.Note that manipulation of the graphene structure, in terms of orientation (such as exposing more edge) or through the introduction of surface edge plane like-sites/defects, will result in benecial alterations in the observed electrochemical properties; 22 which was shown herein utilising a defect abundant double-layer graphene electrode.The ability to tailor graphene's electrochemical response through surface composition/control makes this a fascinating area of study.
This work is an important and fundamental contribution to those studying the electron transfer properties of graphene since it provides the rst comparison of true mono-vs.quasigraphene, highlighting that the electrochemical response (electron transfer) dependent on the graphene's electronic structure.

Experimental section
All chemicals used were of analytical grade and were used as received from Sigma-Aldrich without any further purication.All solutions were prepared with deionised water of resistivity not less than 18.2 MU cm and were vigorously degassed prior to electrochemical measurements with high purity, oxygen free nitrogen.Test solutions (potassium ferrocyanide(II), hexaammine-ruthenium(III) chloride and N,N,N 0 ,N 0 -tetramethylpara-phenylenediamine (TMPD)) were utilised at a concentration of 1 mM separately in solution, with each containing 0.1 M potassium chloride as the supporting electrolyte.
Voltammetric measurements were carried out using an 'Autolab PGSTAT 101' (Metrohm Autolab, The Netherlands) potentiostat.All measurements were conducted using a three electrode system.Working electrodes were either: a commercially obtained CVD synthesised monolayer graphene lm supported on an oxidised silicon wafer; a commercially obtained CVD synthesised few-layer graphene (termed quasigraphene) lm supported on an oxidised silicon wafer; a commercially obtained CVD synthesised double-layer graphene lm (with a high level of surface/structural defects) supported on an oxidised silicon wafer; EPPG (Le Carbone, Ltd.Sussex, U.K) which was machined into a 4.9 mm diameter with the disc face parallel to the edge plane as required from a slab of HOPG (highest grade available: SPI-1, equivalent to Union Carbide's ZYA grade, with a lateral grain size, L a of 1-10 mm and 0.4 AE 0.1 mosaic spread); or alternatively BPPG which was machined as per the EPPG however with the disc face parallel with the basal plane as required.A platinum wire counter/auxiliary electrode and a saturated calomel electrode (SCE) reference (Radiometer, Copenhagen, Denmark) completed the circuit.Note that where voltammetric scan rate studies are employed, the following increments were utilised: 5, 15, 25, 50, 75, 100, 150, 200, 250, 300, 400 and 500 mV s À1 .
For employment of the CVD chip working electrodes an electrochemical cell was utilised as described previously by our group. 23Essentially, the CVD chip was secured into a polytetrauoroethylene (PTFE) housing unit with a silicone O-ring dening the working surface (diameter, 4.9 mm) and a steel contact making connection to the back of the chip, which via the use of silver conductive paint (applied to cover the back and sides of the chip in their entirety) ensures electrical conductivity from the front 'working surface' of the electrode to the electrode connector (to which a lead for the working electrode can be attached).Fig. 6 details the experimental set-up, adapted specically for electrochemical measurements utilising CVD grown graphene.This unique cell design ensures that graphene is the only electrochemically active surface that is in contact with the solution during electrochemical measurements and allows the direct electrical wiring of the graphenebut without worry that the connecting silver conductive paint might be exposed to the solution giving rise to false voltammetry.Using this electrochemical cell, the exposed working electrode area is consistently 0.189 cm 2 for all graphene samples studied, which is consistent with the HOPG electrodes utilised.
The commercially available CVD synthesised monolayer graphene lm was obtained from 'Graphene Supermarket' (Reading, MA, USA) 24 and is known as 'Monolayer Graphene on 285 nm SiO 2 Wafer'.The single layer continuous graphene lm (ca.97% graphene coverage (95% monolayer) with occasional holes, cracks and small multi-layer islands) comprises graphene grains of different crystallographic orientations (polycrystalline in nature) and is grown utilising a copper foil (25 mm thick) catalyst via a CVD synthesis method (ca.1000 C (cooling rate 40-300 C min À1 ) with H 2 /CH 4 precursor (0.06 sccm and partial pressure 0.5 Torr) for less than 3 minutes growth time). 9,25ollowing growth the graphene lm is transferred onto an oxidised silicon wafer (electrochemically inert supporting substrate) via a poly-methyl methacrylate (PMMA) assisted transfer method, as previously reported and characterised; 9,14a,25a,26 note, the exact details are proprietary information. 24he commercially available CVD synthesised quasi-graphene lm was obtained from 'Graphene Supermarket' (Reading, MA, USA) 24 and is known as 'Multilayer Graphene on 285 nm SiO 2 Wafer'.The multi-layer (or few-layer) continuous graphene lm (ca.95% graphene coverage with occasional holes and cracks) comprises graphene grains of polycrystalline nature.The multi-layer graphene lm is not uniform, which is evident through observation of the optical microscopy image depicted in Fig. 1B where a 'patchwork' like appearance indicates 'patches' of different thicknesses; the thickness varies from 1 to 7 layers, with an average of 4 graphene layers (the graphene layers within the same 'patch' are aligned relative to each other (there is a graphitic ABstacking order)). 24The multi/few-layered continuous graphene lm is grown utilising a nickel foil (500 nm thick) catalyst via a CVD synthesis method (ca.1000 C (cooling rate 100 C min À1 ) with CH 4 precursor (10 sccm (H 2 , 1400 sccm), ambient pressure) for ca. 5 minutes growth time), 9,25b,27 aer which the graphene lm is transferred onto an oxidised silicon wafer via a PMMA assisted transfer method; 9,25a,26,27 the exact details are proprietary information. 24he commercially available CVD synthesised double-layer graphene lm was obtained from 'Graphene Supermarket' (Reading, MA, USA) 24 and is known as 'Single/Double Layer Graphene on 285 nm SiO 2 Wafer'.The mono-/bi-layer continuous graphene lm (ca.95% graphene coverage (up to ca. 30% coverage is double-layer graphene islands) with occasional holes and cracks) comprising graphene grains of different crystallographic orientations (polycrystalline in nature) is grown utilising a modied method of the aforementioned CVD process.For example, a copper foil (206 nm thick) catalyst is utilised via a CVD synthesis method (ca.14a,25a,26 The exact details are proprietary information. 24ote that other than securely 'housing' the CVD grown graphene chips/electrodes into the appropriate 'housing' unit prior to electrochemical measurements, the graphene lms were used as received from the supplier without any further modication.The graphene 'wafer' macrostructures, before being adapted into electrodes using the electrode 'housing cell/unit', are 1Â 1 cm 2 in size.The manufacturer reports a resistivity of ca.660-1500 and 500-1500 U per , across the lateral surface of the monolayer-and quasi-graphene wafers respectively. 24Attempts were made to independently measure the resistivity; however, due to the fragile nature of the graphene surfaces we were unable to ascertain a reliable/reproducible response. Atomic Force Microscopy (AFM) data was collected in TappingMode™ using a Veeco Dimension 3100 scanning probe microscope with a NanoScope V controller; images were produced using NanoScope analysis v1.4.Raman spectra were recorded using LabRam (Jobin-Ivon) with a confocal microscope (Â 100 objective) spectrometer with a He-Ne laser at 633 nm excitation at a very low laser power level (0.9 mW) to avoid any heating effect (beam width ca. 100 mm).X-ray photoelectron spectroscopy (XPS, K-Alpha, Thermo Scientic) was used to analyse the chip surface.All spectra were collected using Al-K radiation (1486.6 eV), monochromatised by a twin crystal monochromator, yielding a focused X-ray spot with a diameter of 400 mm, at 3 mA Â 12 kV.The alpha hemispherical analyser was operated in the constant energy mode with survey scan pass energies of 200 eV to measure the whole energy band and 50 eV in a narrow scan to selectively measure the particular elements.Thus, XPS was used to provide the chemical bonding state as well as the elemental composition of the surface.Charge compensation was achieved with the system ood gun that provides low energy electrons and low energy argon ions from a single source.
The values of k o eff were determined utilising a method developed by Nicholson, 28 using the following equation, j ¼ k o [pDnyF/(RT)] À1/2 where j is a kinetic parameter, D is the diffusion coefficient, n is the number of electrons involved in the process, F is the Faraday constant, R the gas constant and T the temperature.The kinetic parameter, j, is tabulated as a function of DE P at a set temperature (298 K) for a one-step, one electron process (where the transfer coefficient, a ¼ 0.5). 1,17,28he function of j (DE P ), which ts Nicholson's data, for practical usage (rather than producing a working curve) is given by: 17,29 j ¼ (À0.6288 + 0.021X)/(1 À 0.017X) where X ¼ DE P is used to determine j as a function of DE P from the experimentally recorded voltammetry.From this, a plot of j against [pDnyF/(RT)] À1/2 allows the k o eff to be readily determined.The diffusion coefficients used for calculations were as follows: Fe(CN) 6 3À/4À , D ¼ 6.5 Â 10 À6 cm 2 s À1 ; 30,31 Ru(NH 3 ) 6 2+/3+ , D ¼ 9.1 Â 10 À6 cm 2 s À1 ; 30,31 TMPD, D ¼ 6.6 Â 10 À6 cm 2 s À1 . 32Note, all D values are reported in the presence of 0.1 M KCl supporting electrolyte and k o eff values are deduced over the entire scan rate range of 5-500 mVs À1 unless stated otherwise.A commercial simulation package (Digisim™) was utilised where appropriate to support the Nicholson analysis and additionally when this was not suitable to determine k o eff values.

Fig. 1
Fig. 1 Optical micrographs of the monolayer graphene (A) and quasigraphene (B) samples.Note that the red arrows in (A) indicate the occasional occurrence of holes in the graphene film.

Fig. 3
Fig.3AFM characterisation of the quasi-graphene, with consecutive images arising from being progressively focused upon the sample.

Fig. 4
Fig. 4 Raman spectroscopy characterisation of monolayer graphene (A) and quasi-graphene (B).Also shown are optical micrographs indicating the probe position utilised.Note that the dark spots indicate few-stacked graphene layers/islands.

Fig. 5
Fig. 5 Raman maps and supporting optical micrographs indicating the sample area utilised.Samples were monolayer graphene (A, B and C) and quasi-graphene (D, E and F).Raman maps show: (B and E) 2D/G band ratio, where darker areas represent increased graphene layer numbers; and (C and F) the FWHM of the 2D peak, with lighter areas indicative of thicker graphene domains.

Fig. 6
Fig. 6 Schematic diagram of the CVD graphene chip 'housing' unit (A).Cross-sectional view of the assembled CVD grown graphene working electrode when fully incorporated (B) for exclusive use with the CVD grown graphene chips/substrates.
Fig. 8A depicts the cyclic voltammetric signatures recorded using the TMPD electrochemical redox probe, where DE P values of ca.63.5, 78.1, 136.7 and 205.1 mV are evident at the EPPG, BPPG, quasi-graphene (q-Graphene) and monolayer graphene (m-Graphene) electrodes respectively (at 100 mV s À1 ).Similarly, shown in Fig. 8B are the cyclic voltammograms recorded at each of the electrodes of interest towards the Ru(NH 3 ) 6 2+/3+ redox probe where the trend in DE P values (HET properties) and the electrochemical responses agree well with those observed for TMPD.It is clear that in both cases the voltammetric signatures are distinctively different according to a function of the different surface morphologies.For example in the case of Ru(NH 3 ) 6 2+/3+ , in the rst instance the EPPG and BPPG electrodes give rise to DE P values of ca.68.4 and 83.0 mV respectively (at 100 mV s À1

Fig. 9
Fig. 9 AFM images of the double-layer defect-graphene, successive images are progressively focused into the sample.

Fig. 10
Fig. 10 Characterisation of the double-layer defect-graphene macrostructure.(A) Raman spectroscopy, with an optical micrograph (inset) indicating the single probe position utilised.Raman maps and a supporting optical micrograph indicating the sample area utilised are reported in B, C and D. (C) 2D/G band ratio, where darker areas represent increased graphene layer numbers.(D) FWHM of the 2D peak, with lighter areas indicative of thicker graphene domains.