Graphene is a one-atom–thick sheet of pure carbon atoms arranged into a 2-D hexagonal sp
2-hybridized lattice. Because the carbon atoms are bound to each other in only two dimensions, a cloud of unbound electrons called the Dirac fermion forms above and below the graphene sheet. This electron cloud acts as a massless charge carrier, rendering graphene highly semiconductive with a negative surface charge. Electric field changes induced within the Dirac fermion by the proximity of externally-applied charged molecules alter the conductivity of graphene as measured by electrodes placed across the graphene layer. In solution, an electric double layer forms in which hydrated positively charged cations, attracted to the negative surface charge, arrange themselves uniformly to form the outer Helmholtz plane over the graphene surface, and create an insulating water dielectric layer of a few nanometers (nm) thickness, called the inner Helmholtz plane. This allows non-Faradaic electric fields to interact with the Dirac fermion to modulate the number of holes or electrons in the graphene plane, thus altering the conductance within the graphene sheet, resulting in and electrolyte-gated graphene field-effect transistor (EG-GFET).
9–12 Changes in solution pH, above the liquid dielectric layer, alter the Dirac fermion according to the concentration of H+ and OH- ions, allowing the EG-GFET to report pH as a change in the conductance of the graphene layer. EG-GFETs have also been extensively studied as high performance gas, humidity, chemical, and biological sensors.
8,13–22
The pH sensing mechanism of EG-GFET devices is related to the redox state of oxygen-containing functional moieties, such as hydroxyl, carboxyl and aldehyde groups present along the edges of the graphene platelets that we applied via inkjet printing. Hydroxyl and hydronium ions in the test solution protonate or deprotonate these oxygen-containing functional moieties, thus altering the electric field within the electrical double layer and the Dirac fermion at the graphene surface. This alters the density of holes and electrons in the graphene semiconductor, changes the doping state and modulates the EG-GFET source-drain conductance, thus providing a rapid electronic readout of solution pH. We observed highly reproducible pH-induced shifts in the Dirac Voltage when tear solutions of varying pH were tested.
Fu et al., have demonstrated that chemical vapor deposited graphene films, which primarily form what is known as pristine graphene without carbon edge defects, demonstrate very weak Dirac voltage shifts when the pH of the buffer is changed. They measured a value of 6 ± 1 mV/pH, which was further reduced to ∼0 mV/pH when the surface was passivated with a hydrophobic organic layer.
23 Furthermore, the article discussed the addition of a thin oxide layer to the graphene strongly increased the pH-induced Dirac voltage shift to 17 ± 2 mV/pH. This suggests that pristine graphene, devoid of oxygen-containing functional groups, cannot sense the proton concentration or pH of a solution.
Our results strongly suggest that the range of pH-induced gate shifts we observed in our experiments are due to oxygen-containing functional groups with the graphene. The Dirac voltage shift/pH values we recorded fall below the thermodynamically allowed maximal shift, the so called Nernst value (60 mV/pH at room temperature). The positive Dirac voltage shift to increasing pH is expected for a partially oxidized graphene surface.
15–17 In this model the terminal OH groups on the surface can be neutral in the form of OH, protonated to OH
+2 or deprotonated to O
−. At a large pH value, the equilibrium is shifted toward a deprotonated surface that is negatively charged, shifting the Dirac Voltage in the positive direction.
Because of the thin-film nature of these devices and their capacity to be miniaturized, they serve as effective pH sensors in patients with chemical exposure and would mitigate the subjective aspects of current pH test-strip colorimetric methods. Because these devices are only 125 µm thick, they can easily be applied to the ocular surface or inserted deep into the conjunctival fornices where repeated, rapid measurement of tear-film pH is critically important during treatment to neutralize acid or alkali pH abnormalities introduced by chemical splash injuries.
Although the above devices have worked well in our laboratory, this study has some limitations. For this study, we used a commercially-available tear film model; however, we have not tested these devices in a prospective human clinical trial. Before those studies, we should test our devices using human tears collected via capillary tubing, ideally in patients with chemical exposure. Further we limited the pH range tested between 2.0 and 9.5. In other studies we have performed, these devices have demonstrated excellent linearity between pH 2 and 14. However, with the kind of repeated testing we used for each device in this study, we did note delamination of the graphene at pH levels above 10. In clinical use, when exposed to pH above 10, sensors should be discarded after each ocular pH map measurement set. In this study, we used a linear model to analytically describe the sensor response to pH, this was done primarily to illustrate the relationship between Dirac voltage (sensor output) and pH. In an actual clinical application, a more precise method for reading out pH would be the use of a look-up table to compensate for device non-linearity. Future work will miniaturize the sensor control system to use an embedded microcontroller with touchscreen display and potentiostat integrated circuits to eliminate the benchtop reference potentiostats used in this study.