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Abstract

In this report, we demonstrate an applied protocol for layer-resolved Raman imaging and analysis of undesirable ad-layers found in Chemical Vapor Deposition graphene grown on copper foil and transferred onto an oxidized silicon substrate. The method assumes that the intensity of the silicon-related Raman-active mode at 520 cm⁻¹ is attenuated by 2.3 % each time the light passes through a single graphene layer. Upon normalization with respect to a reference graphene-free area, the 520 cm⁻¹ mode relative intensity r-ISi measured in a back-scatter mode follows a univalent function of the number of the graphene layers N. Since N is treated as a continuous argument, it can be ascribed a fractional value and considered statistically. Importantly, the r-ISi offers higher layer differentiation capability and unambiguity than non-functional indicators, including the 2D band width or the 2D-to-G band intensity ratio, thus providing unequivocal evaluation.

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... Due to the difficulty of determining the number of graphene layers by conventional microscopy measurements [38], a 3D Raman surface imaging model was used to determine the number of graphene layers [39,40] and generate a three-dimensional image, assuming a constant literature interlayer distance in MLG [41,42]. It relies on the principle of a reduced Raman signal of the substrate underneath the graphene when passing through the material. ...
... The thicknesses of the graphene films were calculated afterward. Fig. 2 summarizes the results obtained by implementing the shadow method analysis [40] to determine the number of graphene layers of each film grown using different catalyst thicknesses. The optical images of the transferred graphene films using 50 nm and 100 nm of Mo catalyst, Fig. 2.a-b have a similar contrast and some brighter areas in the submicrometre scale. ...
... The reference map was created from 1681 measurement points. For more information on the method leading to 3D imaging, the reader can refer to Dobrowolski et al. [39,40]. Supportive standard L.N. Sacco et al. ...
... post-transfer organic residue [19], and uniformity of charge carrier type and sheet density determined by the substrate-related vector of spontaneous polarization [20,21]. ...
... We introduce a practical algorithm in the course of which a QFSgraphene/4H-SiC(0001) structure has its statistical distribution of the number of the QFS graphene layers [19,23] (typically a fractional number between 1.0 and 2.0) extracted from an ellipsometric analysis [22], its hole density outright measured in a Hall effect setup, and its work function numerically calculated via a Density Functional Theory (DFT) model for the previously determined and . With this knowledge, the apex of the measured contact potential difference distribution between the QFS graphene and the silicon tip, or −Si , can be used as a precise reference standard to calculate the work function of any other material under study, or = + ( −Si − −Si ). ...
... Following our experience with the amorphous-Al 2 O 3 /QFS-graphene/4H-SiC(0001) Hall effect sensor [24], the reproducibility of the QFS-graphene/4H-SiC(0001) structure transport properties within a single processing cycle is estimated at ∼10%, measured as a percentile ratio of standard deviation over mean value ( ∕ × 100%). This variation is considered low for graphene technology and possible only because direct epitaxial growth is superior to a polymer-assisted transfer [19]. The vestigial dispersion is a remnant of the fingerprint-like topography of epitaxial graphene, marked with a combination of micrometer-scale terraces and nanometer-high steps [17,18,25]. ...
Article
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Kelvin Probe Force Microscopy is a method to assess the contact potential difference between a sample and the probe tip. It remains a relative tool unless a reference standard with a known work function is applied, typically bulk gold or cleaved highly oriented pyrolytic graphite. In this report, we suggest a verifiable, two-dimensional standard in the form of a photolithographically patterned, wire-bonded structure manufactured in the technology of transfer-free p-type hydrogen-intercalated quasi-free-standing epitaxial Chemical Vapor Deposition graphene on semi-insulating high-purity nominally on-axis 4H-SiC(0001). The particular structure has its hole density 𝑝𝑆 = 1.61 × 1013 cm−2 measured through a classical Hall effect, its number of the graphene layers 𝑁 = 1.74 extracted from the distribution of the ellipsometric angle 𝛹, measured at the angle of incidence AOI = 50◦ and the wavelength 𝜆 = 490 nm, and its work function 𝜙𝐺𝑅 = 4.79 eV postulated by a Density Functional Theory model for the specific 𝑝𝑆 and 𝑁. Following the algorithm, the contact potential difference between the structure and a silicon tip, verified at 𝛥𝑉𝐺𝑅−Si = 0.64 V, ought to be associated with 𝜙𝐺𝑅 = 4.79 eV and applied as a precise reference value to calculate the work function of an arbitrary material.
... graphene layers cast on substrate-related Raman-active modes [11,19]. Specifically, the method assumes that the intensity of the SiC longitudinal optical (LO) A 1 mode at 964 cm −1 is attenuated by 2.3 % [20] each time the light passes through a single graphene layer. ...
... Upon normalization with respect to a reference graphene-free area, the relative intensity at 964 cm −1 measured in a back-scatter geometry is attenuated according to the formula T(N) = (1− ) 2N , where = 1/137 is the fine structure constant [20]. We also postulated that the protocol was universal, had supreme differentiation capability, and lifted the limitation of the author's interpretation of the 2D band Full Width at Half Maximum ( 2D ), the 2D-to-G band intensity ratio (I 2D /I G ) [11,19] or the G and 2D band positions ( G , 2D ). ...
... The shadow method was introduced in Ref. [11] and [19]. It draws from the observation that the transmission-mode opacity of a single graphene layer is dependent solely on the fine structure constant , and defined at = 2.3% of the incident visible light [20], while optical transmittance of a stack of N graphene layers follows a negative ) N , regardless of the stacking sequence [26]. ...
Article
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In this report, we present transfer-free p-type hydrogen-intercalated quasi-free-standing epitaxial Chemical Vapor Deposition graphene on 15-mm × 15-mm semi-insulating vanadium-compensated on-axis 6H–SiC(0001), characterized in that its room-temperature direct-current Hall-effect-derived hole mobility 𝜇p = 5019 cm2/Vs, and its statistical number of layers (N), as indicated by the relative intensity of the SiC-related Raman-active longitudinal optical A1 mode at 964 cm−1, equals N = 1.05. The distribution of the ellipsometric angle 𝛹 measured at an angle of incidence of 50◦ and 𝜆 = 490 nm points out to N = 0.97. The close-to-unity value of N implies that the material under study is a close-to-perfect quasi-free-standing monolayer, which is further confirmed by High-Resolution Transmission Electron Microscopy. Therefore, its spectroscopic properties, which include the Si–H peak at 2131 cm−1, the histograms of 𝛹 and 𝛥, and the Raman G and 2D band positions, widths, and the 2D-to-G band intensity ratios, constitute a valuable reference for this class of materials.
... The absorbed portion of the light is strictly connected with the fine-structure constant and is equal to πα ≈ 2.3% . In the optical system with a backscatter geometry, light passes through the graphene layers twice each time, losing respectively more of the intensity (Fig. 5a) 12,15 . Taking into account the issue of the fine structure constant and backscattering, it leads Where N is the number of graphene layers and α is a fine-structure constant. ...
... For this PRISM method mode, we have prepared microstructures in a homoepitaxial layer of SiC in the form of an isosceles cross (dimensions of 20 µm × 90 µm ) etched with reactive ions. The nitrogen-doped 5.34-µm-thick homoepitaxial layer was grown on a 15 mm × 15 mm sample cut from a 3-in conducting, n-type (4×10 18 cm -3 ), 364-µm-thick 4H-SiC substrate (SiCrystal GmbH) with a 4 • off-cut from the basal vector [0001] towards the [11][12][13][14][15][16][17][18][19][20] direction. Silane and propane were used as precursors (C : Si = 1.8), and hydrogen as carrier gas 27 . ...
Article
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We demonstrate a genuine method for three-dimensional pictorial reconstructions of two-dimensional, three-dimensional, and hybrid specimens based on confocal Raman data collected in a back-scattering geometry of a 532-nm setup. The protocol, or the titular PRISM (Phase-Resolved Imaging Spectroscopic Method), allows for sub-diffractive and material-resolved imaging of the object’s constituent material phases. The spacial component comes through either the signal distal attenuation ratio (direct mode) or subtle light-matter interactions, including interference enhancement and light absorption (indirect mode). The phase component is brought about by scrutinizing only selected Raman-active modes. We illustrate the PRISM approach in common real-life examples, including photolithographically structured amorphous Al2O3, reactive-ion-etched homoepitaxial SiC, and Chemical Vapor Deposition graphene transferred from copper foil onto a Si substrate and AlGaN microcolumns. The method is implementable in widespread Raman apparatus and offers a leap in the quality of materials imaging. The lateral resolution of PRISM is stage-limited by step motors to 100 nm. At the same time, the vertical accuracy is estimated at a nanometer scale due to the sensitivity of one of the applied phenomena (interference enhancement) to the physical property of the material (layer thickness).
... Its exceptional electrical, mechanical, and thermal properties [1][2][3], stemming from its unique honeycomb lattice structure, have attracted attention for a plethora of powerful applications across various fields, including energy storage and conversion [4][5][6], catalysis [7][8][9], sensing [10][11][12], and electronics [13,14]. Moreover, recent advancements in sheet transfer and epitaxial growth have enabled transformative progress in graphene-based device fabrication [15][16][17][18][19]. Paired with refinements in characterization methods [20][21][22], these developments have significantly broadened the potential applications for graphenebased 2D/3D systems, propelling them towards even greater utility and innovation [23][24][25][26][27][28][29][30]. ...
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Both intentional and unintentional doping of graphene is a common occurrence, as its carrier concentration can be modulated through various mechanisms. While extensively explored in electronics for achieving desirable conductivity, other aspects of doping remain largely untapped, presenting opportunities for further innovation. This study demonstrates that carrier concentration serves as a powerful and selective tool for modulating the interaction between molecular adsorbates and graphene. The effects are tunable and evident for both n-type and p-type doping, with low-to-medium modulation at doping levels of ±1012e/cm2, and substantial enhancements, with interaction strength increases exceeding 150% and hundreds of meV, at doping levels of ±1013e/cm2. These effects are also molecule specific, with significant enhancements for species such as water (H2O), ammonia (NH3), and aluminum chloride (AlCl3), while having minimal impact on species like hydrogen (H2). This finding not only elucidates the fundamental chemical behavior of graphene but also provides a versatile method to tailor its surface chemistry for applications in sensors, catalysis, and electronic devices. The insights from this research pave the way for advanced material design strategies, leveraging the tunable nature of graphene’s properties to optimize its interaction with various molecular species.
... At 770 K, the dispersion is down to p S (2.6 %), µ p (4.7 %), R S (10.4 %), and S I (2.6 %). This low variation is possible only because direct epitaxial growth does not require a polymer-assisted transfer [26]; it is elementally pure and void of substitutional dopants, and its charge carrier type and density are determined solely by the SiC-related vector of spontaneous polarization. The vestigial dispersion is traced to the developed topography of epitaxial graphene, marked with a fingerprint-like combination of micrometer-scale terraces and nanometer-scale steps [19], [27]. ...
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In this letter, we demonstrate a Hall effect sensor in the technology of amorphous-Al2O3-passivated transfer-free p-type hydrogen-intercalated quasi-free-standing epitaxial Chemical Vapor Deposition graphene on semi-insulating high-purity on-axis 4H-SiC(0001), pre-epitaxially modified with 5- keV hydrogen (H+) ions. The sensor operates between 305 K and 770 K, with a current-mode sensitivity of ∼75 V/AT and thermal stability below 0.15 %/K (⩽ 0.03 %/K in a narrower range between 305 K and 700 K). It is a promising two-dimensional platform for high-temperature magnetic diagnostics and plasma control systems for modern tokamak fusion reactors.
... Its exceptional electrical, mechanical, and thermal properties [1][2][3], stemming from its unique honeycomb lattice structure, have attracted attention for a plethora of powerful applications across various fields, including energy storage and conversion [4][5][6], catalysis [7][8][9], sensing [10][11][12], and electronics [13,14]. Moreover, recent advancements in sheet transfer and epitaxial growth have enabled transformative progress in graphene-based device fabrication [15][16][17][18][19]. Paired with refinements in characterization methods [20][21][22], these developments have significantly broadened the potential applications for graphenebased 2D/3D systems, propelling them towards even greater utility and innovation [23][24][25][26][27]. ...
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Full-text available
Both intentional and unintentional doping of graphene is a common occurrence, as its carrier concentration can be modulated through various mechanisms. While extensively explored in electronics for achieving desirable conductivity, other aspects of doping remain largely untapped, presenting opportunities for further innovation. This study demonstrates that carrier concentration serves as a powerful and selective tool for modulating the interaction between molecular adsorbates and graphene. The effects are tunable and evident for both n-type and p-type doping, with low-to-medium modulation at doping levels of ±1012 e/cm2 , and substantial enhancements, with interaction strength increases exceeding 150% and hundreds of meV, at doping levels of ±1013 e/cm2 . These effects are also molecule-specific, with significant enhancements for species such as water (H2O), ammonia (NH3), and aluminum chloride (AlCl3 ), while having minimal impact on species like hydrogen (H2 ). This finding not only elucidates the fundamental chemical behavior of graphene but also provides a versatile method to tailor its surface chemistry for applications in sensors, catalysis, and electronic devices. The insights from this research pave the way for advanced material design strategies, leveraging the tunable nature of graphene’s properties to optimize its interaction with various molecular species.
... The average transmission of N-doped graphene film ranging from 400 nm to 800 nm extracted from Fig. 12 was found to be 95%. This is consistent with the literature related to single layer graphene film [66]. It is well known that the transmittance value of the CdS buffer layer used in CZTS-based thin film solar cell is around 80%. Increasing the transmittance value (above 80%) by employing graphene in the place of the CdS layer may provide more photons arriving at the CZTS absorber layer, thus enhancing solar cell efficiency. ...
... It can be clearly seen that the intensity ratio of 2D and G peaks differs significantly and equals 0.65 ± 0.05, 1.39 ± 0.07, and 2.71 ± 0.10 for three, two, and one layers, respectively. In the literature, there is a very wide spread of these ratios [21][22][23][24][25][26][27][28] which has led to the conclusion that this parameter should not be used to determine the number of layers alone [29]. In this study, however, it becomes evident that the ratio is different for each region and follows the designed pattern. ...
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Graphene has attracted a lot of interest for fundamental studies as well as for potential applications. Till now, micromechanical cleavage (MC) of graphite has been used to produce high-quality graphene sheets on different substrates. Clear understanding of the substrate effect is important for the potential device fabrication of graphene. Here we report the results of the Raman studies of micromechanically cleaved monolayer graphene on standard SiO2 (300 nm)/Si, single crystal quartz, Si, glass, polydimethylsiloxane (PDMS), and NiFe. Our data suggests that the Raman features of monolayer graphene are independent of the substrate used; in other words, the effect of substrate on the atomic/electronic structures of graphene is negligible for graphene made by MC. On the other hand, epitaxial monolayer graphene (EMG) on SiC substrate is also investigated. Significant blueshift of Raman bands is observed, which is attributed to the interaction of the graphene sheet with the substrate, resulting in the change of lattice constant and also the electronic structure.
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Because of its superior stretchability, graphene exhibits rich structural deformation behaviours and its strain engineering has proven useful in modifying its electronic and magnetic properties. Despite the strain-sensitivity of the Raman G and 2D modes, the optical characterization of the native strain in graphene on silica substrates has been hampered by excess charges interfering with both modes. Here we show that the effects of strain and charges can be optically separated from each other by correlation analysis of the two modes, enabling simple quantification of both. Graphene with in-plane strain randomly occurring between -0.2% and 0.4% undergoes modest compression (-0.3%) and significant hole doping on thermal treatments. This study suggests that substrate-mediated mechanical strain is a ubiquitous phenomenon in two-dimensional materials. The proposed analysis will be of great use in characterizing graphene-based materials and devices.
Article
We have measured the Raman spectra of one to three layer graphene as a function of laser excitation energy. The observed G′ band Raman peak (∼2650 cm−1) intensity decreases with increasing numbers of graphene layers. The electronic energy band structure calculated by the extended tight binding model shows that there are four and nine possible optical processes in double resonance theory for the Raman G′ band of double and triple layers graphene, respectively. Raman intensity calculations show that each peak position depends on its wavevector, and then the G′ band of double and triple layer graphene has three and five components, respectively.
Article
Layer number and stacking order of few-layer graphene (FLG) are of particular interest since they directly determine the performance of graphenebased electronic devices. By analyzing Raman spectra and Raman images, quantitative indices are extracted to discriminate the thickness of ABstacked FLG from single- to five-layer graphene; a few key spectral characteristics are also identified for FLG with misoriented stacking electronic structure graphene, Raman spectroscopy, stacking.
Article
Results of room-temperature Raman scattering studies of ultrathin graphitic films supported on Si (100)/SiO2 substrates are reported. The results are significantly different from those known for graphite. Spectra were collected using 514.5 nm radiation on films containing from n = 1 to 20 graphene layers, as determined by atomic force microscopy. Both the first- and second-order Raman spectra show unique signatures of the number of layers in the film. The nGL film analogue of the Raman G-band in graphite exhibits a Lorentzian line shape whose center frequency shifts linearly relative to graphite as approximately 1/n (for n = 1 omegaG approximately 1587 cm-1). Three weak bands, identified with disorder-induced first-order scattering, are observed at approximately 1350, 1450, and 1500 cm-1. The approximately 1500 cm-1 band is weak but relatively sharp and exhibits an interesting n-dependence. In general, the intensity of these D-bands decreases dramatically with increasing n. Three second-order bands are also observed (approximately 2450, approximately 2700, and 3248 cm-1). They are analogues to those observed in graphite. However, the approximately 2700 cm-1 band exhibits an interesting and dramatic change of shape with n. Interestingly, for n < 5 this second-order band is more intense than the G-band.
Article
We present Raman spectroscopy measurements on single- and few-layer graphene flakes. Using a scanning confocal approach we collect spectral data with spatial resolution, which allows us to directly compare Raman images with scanning force micrographs. Single-layer graphene can be distinguished from double- and few-layer by the width of the D' line: the single peak for single-layer graphene splits into different peaks for the double-layer. These findings are explained using the double-resonant Raman model based on ab-initio calculations of the electronic structure and of the phonon dispersion. We investigate the D line intensity and find no defects within the flake. A finite D line response originating from the edges can be attributed either to defects or to the breakdown of translational symmetry.
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