After loading of the cell, a successful graphene transfer is indicated by a differently shaded appearance on the wells under an optical microscope. This is visible, for example, in the right membrane of Figure 3c. As mentioned, it is crucial to carefully remove the TEM-grid in order to not break the thin Si3N4 layer. In case of a broken membrane, lucent and curved residuals are clearly visible in the optical microscope, as shown in the left two membranes of Figure 3c. Due to the multiple viewing areas in the utilized GSMLC design, the cell can be used as long as at least one membrane is intact. Broken membranes can be used for TEM alignment without exposing the specimen to the electron beam.
A successful encapsulation of the specimen solution can be verified during electron microscopy. Figure 5 presents individual micrographs of Supplementary Video 1, where the dissolution of an ensemble of nanoparticles and the growth of a dendritic structure is statistically evaluated in a GSMLC. Besides the drift-induced movement of the image, minor individual orthogonal particle movements are visible, indicating that particles in solution are present. Furthermore, the prevalence of particle dissolution proves that a wet-chemical reaction is present which would not be possible without a successful liquid enclosing. Other typical indications for enclosed liquids are beam-induced bubble formation19 or particle motion. The presence of Au particles in graphene-featured cells alone does not conclusively indicate a liquid environment, since the particles could also stem from the graphene-induced reduction of HAuCl440. A quantification of the oxygen peaks of the enclosed liquid via electron energy loss spectroscopy (EELS) can also be performed to verify a liquid environment41.
In order to gain insights into particle growth and dissolution kinetics, it is important to investigate each particle individually rather than to analyze the development of average parameters42. It is also crucial to exclude particles at the frame edges that are only partially captured by the camera because drift effect-related position changes of such particles might be mistaken as growth or dissolution processes. Etching is believed to be caused by oxidative species generated by electron beam-induced radiolysis43. In order to yield sufficient statistics, computational single particle tracking is required. By estimating the growth exponent α of the equivalent radius variation of individual particles over time, information of the underlying reaction kinetics can be obtained. To do so, it is possible to introduce an equivalent radius based on the projected particle area, even if not all particles are completely spherical6,44. Figure 5b shows the tracking of equivalent radii over time for six representative particles which are highlighted in Figure 5a. Figure 5c shows the distribution of α based on 73 dissolving particles from the present study. Only particles where an allometric model explains the radius decline to at least 50% (adjusted coefficient of determination) are regarded.
Furthermore, a dendrite structure emerges rapidly after about 42 s in the same well depicted in Figure 6a. Dendrite formation is another typical, well documented process in liquid cells45,46. To quantify dendrite growth, the structural outlines (see inset in Figure 6a) are analyzed. The evolution of tip radius and velocity over time (see Figure 6b,c) reveals the expected hyperbolic relationship47 (Figure 6d). Dendrite growth is caused by local supersaturation of Au-ions due to the aforementioned particle etching. In Figure 5a, it is clearly visible that particles are still dissolving whilst the oversaturated system relaxes into dendrite growth. This may be caused by local concentration variations in both the Au-ions and the oxidative species as a result of the high viscosity of the liquid in the GSMLC which has been observed before6. A detailed discussion of this phenomenon, however, is beyond the scope of this work.

Figure 1: Sketch of a GSMLC: Schematics of the structure of a graphene-supported microwell liquid cell. Reprinted from https://pubs.acs.org/doi/abs/10.1021/acs.nanolett.8b03388 6. Further permissions are to be directed to the American Chemical Society (ACS). Please click here to view a larger version of this figure.

Figure 2: Fabrication of GSMLC-frames. The fabrication process of GSMLC-frames is schematically sketched. (a) Oxidation of Si wafer after cleaning. (b) LPCVD of Si3N4. (c) Front side Si3N4 patterning by photolithography and RIE to define the cell volume. (d) Deposition of Si3N4 to form the bottom cell window. (e) Back-side lithography and RIE. (f) Bulk micromachining with KOH to create a freestanding Si3N4 membrane containing microwells. Please click here to view a larger version of this figure.

Figure 3: Transfer of few-layer CVD-graphene with PMMA protection layer onto a TEM-grid. The transfer of few-layer CVD-graphene on PMMA onto the top of a holey carbon-coated TEM-grid is displayed. (a) Immersion of the few-layer CVD graphene on PMMA in a Petri dish filled with DI water. (b) Transferred graphene/PMMA stack on a filter paper is cut into pieces suitable to cover the GSMLC-frames. (c) Re-immersion of a cut graphene/PMMA piece. (d) Transfer of the graphene/PMMA layer onto a holey carbon-coated TEM grid (e) Graphene/PMMA stack after a successful transfer. Please click here to view a larger version of this figure.

Figure 4: Removal of the top TEM grid. The drying process of a loaded GSMLC is documented with the help of an optical microscope. (a) A graphene-coated TEM grid is placed on top of the GSMLC directly after loading. The graphene layer is visible as turquoise rectangle covering all three viewing areas. Its outlines are roughly sketched by the black rectangle. (b) An almost completely adhered membrane is visible by the contrast change between the wet (dark, compare with (a)) and the adhered area (turquoise) after approximately two minutes. (c) A GSMLC after the lift-off of the TEM grid is shown, revealing two broken membranes (left and middle), and one membrane with successfully loaded and sealed microwells (right). Please click here to view a larger version of this figure.

Figure 5: Representative development of nanoparticle radii. The radius development of 183 individual particles has been tracked. (a) Image sequence taken from Supplementary Video 1. Six representative particles are highlighted. The colored circles correspond to the obtained equivalent radius. (b) Logarithmic plot of the particle radii. (c) The histogram of 73 particles where a negative allometric exponent α has been determined using an automated routine. Please click here to view a larger version of this figure.

Figure 6: Dendrite dynamics: The tip radius of five dendrite branches is analyzed. Error bars account for the respective standard deviation. (a) Image sequence taken from Supplementary Video 1 showing the emerging dendrite, which is visible after about 42 s. The inset in the right image shows the evolving dendrite contours. Here, the pink outlines correspond to 42.09 s, red to 42.7 s, and purple to 43.3 s. (b) Development of the (averaged) tip radius over time. (c) The mean tip velocity plotted over time. (d) The averaged tip radius logarithmically plotted against the averaged tip velocity, revealing a hyperbolic dependency (orange curve). Please click here to view a larger version of this figure.

Figure 7: SEM Image of a loaded GSMLC: A representative SEM image acquired in HAADF STEM mode in an SEM of a loaded GSMLC at low acceleration voltage (29 kV) is displayed. Besides the prominent 5 µm wide microwells, two partially overlapping circular holey carbon grids (2 µm diameter) stemming from the graphene transfer elucidated above is visible. The first carbon grid stems from an unsuccessful graphene transfer. It is clearly visible that the membrane shading stays mostly constant over the well region, but slightly darkens towards the well center. This accounts for weak, negative bulging. Please click here to view a larger version of this figure.
Supplementary Video 1: In situ video showing representative results of a liquid cell bright field TEM study of etching of Au nanoparticles and subsequent growth of a dendrite structure caused by supersaturation of the surrounding specimen solution. Please click here to download this file.