There is great interest in the development of micromotors which can convert energy to motion in sub-millimeter dimensions. Micromachines take the micromotor concept a step further, comprising complex systems in which multiple components work in concert to effectively realize complex mechanical tasks. Here we introduce light-driven micromotors and micromachines that rely on optoelectronic tweezers (OET). Using a circular micro-gear as a unit component, we demonstrate a range of new functionalities, including a touchless micro-feed-roller that allows the programming of precise three-dimensional particle trajectories, multi-component micro-gear trains that serve as torque- or velocity-amplifiers, and micro-rack-and-pinion systems that serve as microfluidic valves. These sophisticated systems suggest great potential for complex micromachines in the future, for application in microrobotics, micromanipulation, microfluidics, and beyond.
Micromotors are submillimeter particles or assemblies of particles that can convert energy into motion. There are many examples of micromotors in the literature, which can be classified on the basis of the type of energy that drives them, including magnetic1,2,3,4,5, acoustic6,7, electric8,9, and optical energies10,11,12,13,14,15,16. There is less consensus on the definition of the term “micromachine.” A working definition used here is a submillimeter system employing multiple components whose motions are coupled together to drive useful mechanical work. Although the term is used frequently in the literature, there are very few reports that satisfy this definition.
Micromotors (and potentially, micromachines) that are driven by light are particularly appealing to consider, given the maturity and diversity of beam-modulation components that can be used17,18,19,20, and light-driven micromotors can be subclassified into three categories based on their operating principles. The first category, opto-mechanical micromotors, relies on the interaction between light and photosensitive, mechanically responsive materials such as liquid-crystalline elastomers21,22,23,24,25,26. While this form of micromotor is an interesting and growing research topic, apart from demonstrations of simple functions, there are substantial material limitations that have precluded the use of these systems for many practical applications. The second category, opto-chemical micromotors, relies on photochemical reactions such as photochromic, photothermal, and photocatalytic effects to generate propulsion forces27,28,29,30,31. Opto-chemical micromotors have been demonstrated for interesting applications, but require highly specific operating conditions, including motors formed from photoactive materials and an environment that contains photochemically active reagents. The third category, optical micromotors, relies on direct manipulation of (otherwise unremarkable) microscale objects by illumination with light—the most prevalent example being optical tweezers (OTs)17,18,19,20,32,33,34,35,36,37. OT leverages the forces that arise from focusing light into steep intensity gradients, which permits fine and noninvasive control and actuation of microparticles suspended in air or liquid19,20. To date, there have been many successful demonstrations of OT-actuated micromotors that can carry out complex mechanical operations, including microfluidic pumping38,39, directed tissue growth10, and precise cell/particle translation12,40.
Although optical micromotors based on OT have been used for many impressive demonstrations and have many unique advantages (such as nanometer-level spatial precision12), OT is not a panacea for all applications. For example, OT generates forces on the order of picoNewtons (10−12 N), which is useful for manipulating small particles (with sizes <30 μm), but not large ones. This influences the design, structure, materials and tools used to form/fabricate the micromotors, and sets certain limits on their applications, particularly for those involving larger objects. In addition, while OT can be used to manipulate multiple micromotors in parallel, this functionality requires specialized and expensive beam-modulation hardware and control software12,19,20,41. This capacity was particularly important for the work described here, in which we sought to develop complex micromachines, which requires facile and robust methods for controlling many components in parallel, causing them to interact with each other.
Here, we introduce optical micromotors that are operated and controlled by optoelectronic tweezers (OET)42,43,44,45. OET is an optical micromanipulation technology that relies on photoconductive substrates that are typically insulating, but become conductive upon illuminating with light. By projecting illuminated and dark regions onto the photoconductive substrate, light-activated virtual electrodes can be formed in OET, which induce nonuniform electric fields producing DEP forces42,43,44,45,46,47,48,49,50,51,52. OET is capable of generation of forces on the order of nanoNetwons (10−9 N)53, which permits the manipulation of objects with sizes >100 μm54,55. In addition, it is particularly straightforward to use OET for parallel manipulation41,42,43,44,45, simply by projecting movies of moving shapes into a microscope. Recently, OET was used to control discrete microrobots capable of translating secondary payloads56. We are enthusiastic about this previous report, but note that each microrobot in the previous study achieved its functionality independently.
In this work, we sought to move beyond the single micromotor (or microrobot) to form complex, multicomponent, reconfigurable micromachines. Specifically, we describe a unit component—a light-driven micromotor that can be precisely rotated and translated—and characterize its behavior in diverse environments. We then describe how the motions of multiple micromotors can be coupled together, effectively forming light-driven, multicomponent micromachines, that can serve as 3D particle manipulators, torque and speed multipliers, and microfluidic valves. These examples are quite unique relative to what has been demonstrated previously, with potential utility for applications in hydrodynamics, microrobotics, particle/cell manipulation, and beyond.
Results and discussion
OET control of micromotors
The unit component of the light-driven micromachines described here is a circular micromotor (or micro-gear) that features eight teeth arranged symmetrically around a disc with a hole in the center. Figure 1a is a representative scanning electron microscope (SEM) image of a micro-gear, which has a diameter of 200 μm and a thickness of 60 μm (Supplementary Note 1 and Supplementary Fig. 1). Figure 1b illustrates how micro-gears are formed by photolithography, followed by release from a sacrificial layer. As illustrated in Fig. 1c, after formation, micro-gears are transferred to a microscopy-based OET system in which light from a digital micromirror device (DMD) pattern illuminator is focused onto an OET device bearing a photoconductive layer [in this case, hydrogenated amorphous silicon (a-Si:H)] to exert the actuation force. Conditions were chosen such that DEP forces are negative, which serves to push the micro-gears into regions that are not illuminated. There are many examples in the OET literature43,49,50,57 that use simple hollow light patterns (e.g., a doughnut) to manipulate the positions of particles in this manner. Here, we adapted an approach described previously56 for the manipulation of microrobots, in which the light patterns are used as opto-mechanical components. For example, as shown in Fig. 1d, a standard set of components used here is an optical axle and an optical ring spanner with teeth designed to interface with those of the micro-gear. By rotating (Supplementary Movie 1) or translating (Supplementary Movie 2) the optical components, the micro-gears can be made to rotate or translate, as well (described in detail in Supplementary Note 2). Various combinations of rotation and translation enable manipulation of many micro-gears in parallel (Supplementary Movie 3 and Fig. 1e–h), a key property that is leveraged in the micromachines described below.
Prior to exploration of the capacity to use multiple micro-gears to form micromachines, we paused to evaluate the effect of ring-spanner geometry on micro-gear behavior. Specifically, ring spanners with ring thicknesses of 0, 10, 30, and 60 μm (Fig. 2a–d) were applied to manipulate micro-gears—when manipulated at low velocities, the micro-gears behaved as programmed. At high velocities, however, the micro-gears can no longer follow the light pattern and the operations failed. We call the condition that divides these phenomena the maximum velocity, which is plotted for rotation and translation in Fig. 2e, f. As shown, thick rings allow for much higher velocities, while micro-gears driven by thin rings fail more readily at low velocities. This result is accompanied by the observation that the failure modes differ for optical ring spanners with thin vs. thick rings. Micro-gears driven by spanners with thin rings were prone to a flipping failure mode (Supplementary Movie 4, clips 1 and 2), in which the micro-gear flipped up into the Z-dimension. In contrast, micro-gears driven by spanners with thick rings failed only by a stripping mode (Supplementary Movie 4, clip 3), akin to the mechanical stripping that is observed for a mechanical wrench that is rotated too rapidly. The flipping phenomenon, in particular, is unique, as it (unlike any other result discussed herein) is also occasionally observed in cases in which the bias voltage is applied, but the light pattern is not projected into the system (Supplementary Fig. 2). We describe this and other observations in more detail in Supplementary Note 3; more study is merited to probe these interesting phenomena.
With a unit component and its behavioral boundary conditions in hand, we turned to exploring the use of micro-gears as micromotors and micromachines. A common motif in the optical micromotor literature is the use of a spinning particle as an impeller, which generates hydrodynamic forces that influence the behavior of nearby particles10,12,34,39,40. The system described here behaves similarly—as shown in Supplementary Movie 5 and in Fig. 3a, b, a rotating micro-gear causes polystyrene microparticles in the vicinity to revolve around it. We decided to explore this phenomenon, and as illustrated in Fig. 3c, two variables were probed in these experiments—the distance D from the particle to the micro-gear, and the angular velocity of the micro-gear. The former variable was controlled by varying the ring thickness in the optical ring spanner. As shown in Fig. 3d, e, the negative DEP force in this system establishes a minimum value for D, providing convenient means to control this parameter. The latter variable was controlled by rotating optical ring spanners and micro-gears at different angular velocities, as illustrated in Supplementary Movie 6 (clips 1 and 2). Importantly, control experiments were implemented to confirm that beads do not move when exposed to a rotating optical ring spanner only, with no micro-gear (Supplementary Movie 6, clip 3). Figure 3f shows the linear velocities observed for 7-μm-diameter polystyrene microbeads as they revolve around rotating micro-gears. As shown, the bead velocities have a strong dependence on both variables—decreased distance between particle and micro-gear, and increased angular velocity of micro-gear—both cause the beads to predictably revolve at higher linear velocities.
To better contextualize the experimental results, 3D numerical simulations of fluid flow around a rotating micro-gear were carried out in COMSOL Multiphysics. In this model, a simulated micro-gear was rotated continuously for 2 s to generate a stable hydrodynamic flow (see the detailed description of the model in Supplementary Note 4 and Supplementary Fig. 3). An animation of a 3D flow velocity distribution in time for a micro-gear rotated at 360°/s can be seen in Supplementary Movie 7, and a still image from the animation at t = 2 s is shown in Fig. 3g. Two-dimensional slices can be generated from the simulation and visualized in Supplementary Movie 8 (XY slice for Z = 11 μm). A still image from this animation at t = 2 s is shown in Fig. 3h. A one-dimensional (X) slice can also be generated, as shown in Fig. 3i. The simulation indicates that there exists a localized field of vortex flow that drops off rapidly with increased distance from the micro-gear, which matches the experimental observations. In fact, the simulation (Fig. 3i) has a close agreement with the experiments (Fig. 3f)—for example, a 7-μm-diameter polystyrene bead located 50 μm from a micro-gear rotating at 360°/s has a linear velocity of around 20 μm/s, while the simulated fluid velocity under the same conditions is ~35 μm/s. (Note that the bead’s velocity should be reduced relative to that of the fluid, because of viscous drag.) Finally, flow velocity distribution in the vertical plane can be observed in Fig. 3j [XZ slice for Y = 0 μm of Fig. 3g], and the torque in this simulation at t = 2 s was 1.6 × 10−13 N⋅m.
Micromachine 1: the touchless micro-feed-roller
The vast majority of micromotor reports in the literature10,11,14,34,35,36,37,38 (as well as the aforementioned OET microrobot56) describe the activity of a single micromotor (or what we reference as a unit component, as explored in Figs. 1–3). But we hypothesized that multicomponent micromachines relying on the coordinated behavior of more than one micromotor in tandem could provide additional functionalities, and we first tested the behavior of two micro-gears close together that are rotated in opposite directions. We call this a micro-feed-roller, by analogy to the pairs of cylinders that rotate to move the paper through a desktop printer. Unlike a conventional feed-roller, this system is touchless because the objects that are manipulated, such as the polystyrene beads in Supplementary Movie 9 and Fig. 4a, b, do not contact the rollers. In a hydrodynamic system such as this one, the physical extent of the control flow field is governed by the distance between the flow-actuating elements and the target objects. As shown in Fig. 4c, a particle translated by the touchless micro-feed-roller first accelerates and then decelerates, and the velocity of the particle is highest when it is in closest proximity to the micro-gears (in the midpoint of its path). This behavior is similar to what was reported previously for an OT-driven micromachine, which was found to be able to program particle position with nanometer spatial precision12.
The touchless micro-feed-roller is useful for moving particles across short distances; it can be modified to manipulate particles across large distances by projecting an OET pattern between the two rotating micro-gears and translating the entire system. We call this structure, shown in Supplementary Movie 10, clip 1 and Fig. 4d, an OET-bridged touchless micro-feed-roller, which combines OET manipulation with hydrodynamics. This system is particularly useful for manipulating particles that show weak responses to OET/DEP forces, such as mammalian cells. Specifically, when OET/DEP alone (with no hydrodynamics) is used to translate a B-16 cell, as in Supplementary Movie 10, clip 2 and Fig. 4e, the maximum linear velocity is slow, as viscous drag readily overwhelms the weak OET/DEP forces at high velocities. But when hydrodynamics is added to the system, as in the OET-bridged touchless micro-feed-roller, cells can be manipulated more rapidly and with greater force (calculated from velocity via Stokes’ law48,57), as illustrated in Fig. 4f for a range of different conditions.
Most importantly, in exploring the behavior of the OET-bridged touchless micro-feed-roller, we discovered a unique property that extends the functionality beyond two dimensions. Specifically, as illustrated in Fig. 4g, by carefully tuning the Z-axis DEP force58,59 from the OET-bridge and the XY-axis hydrodynamic force of the micro-feed-roller, objects can be made to controllably hop in three dimensions. (Note that previous demonstrations of similar systems have been exclusively 2D12.) To probe this capacity, SU-8 micro-structures were formed to serve as 3D obstacles (Supplementary Fig. 4). As shown in Supplementary Movie 11, clip 1 and Supplementary Fig. 5a, b, XY-manipulation using a simple OET doughnut-shaped light pattern causes microbeads to remain in one plane such that they crash into the edges of micro-structures, becoming dislodged. In contrast, as shown in Supplementary Movie 11, clip 2, the XYZ-forces generated by the OET-bridged touchless micro-feed-roller reproducibly cause particles to hop over (Supplementary Fig. 5c), into (Fig. 4h and Supplementary Fig. 5d) or onto (Fig. 4i) various kinds of micro-structures. As described in Supplementary Note 5, the vertical displacement (in the Z-dimension) at the apogee of each hop was estimated to be ~135 μm. Finally, as shown in Supplementary Movie 11, clip 3, when the Z-axis OET/DEP force is applied without the hydrodynamic force of the micro-feed-roller (i.e., with no operation of the micromotor), the bead hops, but does so uncontrollably (and cannot be propelled over, onto, or into a micro-structure)—the hydrodynamic force is necessary to control and predict the position of the bead. We are unaware of any other micromachine that affords this type of 3D control over secondary particles, which is analogous to a “basketball shot” or a “missile launch.” This capacity should allow for great potential to construct new variations of three-dimensional microstructures for a wide range of applications.
Micromachine 2: the micro-gear train
As a next step, we decided to investigate whether the multicomponent micromachines introduced here can provide a mechanical advantage. Specifically, we explored the possibility of driving the rotation of one or more micro-gears with optical ring spanners and then using the torque generated by this active process to drive the rotation of one or more passive micro-gears in a micro-gear train. We are aware of only a single previous report16 of a similar system (driven by OT), which was purely descriptive, with no details about gear size, rotation velocity, or mechanical advantage. For the current system, Supplementary Movie 12 illustrates the behavior of micro-gear trains comprising two (Fig. 5a) or four (Fig. 5b) micro-gears. A single active micro-gear generates a finite torque (e.g., we estimate 1.6 × 10−13 N⋅m for a micro-gear rotating at 360°/s) that can be used to drive a micro-gear train. As expected, each additional passive micro-gear increases the viscous stress and friction for the micromachine, reducing the maximum angular velocity of the system—this effect was measured and is shown in Fig. 5c. These limits can be overcome by using multiple active micro-gears to drive a gear train, as illustrated by Supplementary Movie 11 for three (Fig. 5d) and seven (Fig. 5e) micro-gears.
As described in Supplementary Note 6, the micromachines in Supplementary Movies 12 and 13 and Fig. 5a, b, d, e, which are formed from micro-gears with the same size, have a mechanical advantage MA = 1. To test the capacity to form torque multipliers with MA > 1 or speed multipliers with MA < 1, micro-gears with varying sizes (Supplementary Fig. 6) were formed and assembled into micro-gear trains. Supplementary Movie 14, clips 1 and 2 (Fig. 5f, g) depict micromachines with MA = 2, which amplify the input torque two-fold. Supplementary Movie 14, clip 3 (Fig. 5h) depicts a micromachine with MA = 0.5, which amplifies the input angular velocity by a factor of 2. Specifically, in this example the active gear was rotated at 100°/s, causing the passive gear to rotate at 200°/s (measured frame to frame in Supplementary Movie 14). This behavior was reproducible across multiple micro-gear trains (comprising different combinations of large and small gears), suggesting exciting possibilities for more complex light-driven micromachines in the future.
Micromachine 3: the micro-rack-and-pinion
Finally, we turned our attention to a different type of multicomponent micromachine—a micro-rack-and-pinion system (Fig. 6a) that transforms rotary into linear motion. In this system, a standard micro-gear (operated as described above) serves as the pinion, while a new component—a linear gear with commensurate dimensions (Supplementary Note 7 and Supplementary Fig. 7a, b)—serves as the rack. As illustrated in Supplementary Movie 15, clips 1 and 2, upon engaging the two components, rotating an optical ring spanner counterclockwise (Fig. 6b) or clockwise (Fig. 6c) causes the (active) pinion to rotate, which causes the (passive) rack to move linearly to the left or to the right, respectively.
We can foresee myriad applications of the micro-rack-and-pinion system, which is (to our knowledge) entirely unique in the micromotor/machine literature. As an example, a custom microfluidic structure featuring three parallel microchannels (Fig. 6d and Supplementary Fig. 7c–h) was designed and integrated into the OET chamber to evaluate the potential of using micro-rack-and-pinion systems to serve as a variable control valve. Specifically, as illustrated in Supplementary Movie 15, clips 3–6, when oriented appropriately, rotating pinions on either side of the microfluidic structure causes micro-racks to penetrate the microchannel junction (Fig. 6e, f), impeding the flow within them. By controlling the two micro-rack-and-pinion structures in tandem, the system can be configured to isolate the flow into any of the three channels in the system when driven by flow rates of up to 5 μL/min (Fig. 6g–i). As an example, the valve state can be used to control the flow of a suspension of microparticles, as illustrated in Supplementary Movie 16 (Fig. 6j, k). We note that there have been many useful types of mechanical microfluidic valves reported over the years60,61,62,63,64,65, but the system illustrated in Fig. 6 is the first example that we are aware of that is realized using multicomponent micromachines on-chip. Most importantly, the valves shown here are just an example. We propose that the general principles illustrated in Figs. 3–6, which include 3D particle control, torque/speed multiplication, and mechanical conversion of rotary/linear motion, may eventually be useful for applications that have not yet been imagined in hydrodynamics, microrobotics, microfluidics, and beyond.
In sum, we have introduced a new member of the micromotor family—gear-shaped components that can be rotated and translated by light-driven dielectrophoresis. Like micromotors described previously, the micro-gear components described here can be made to serve as impellers to generate localized hydrodynamic forces to control the motion of micro-objects in their vicinity. In an advance relative to the state of the art, micro-gears can be made to work together as micromachines, allowing for 3D particle control, mechanical advantage, and microfluidic valving behaviors to be realized. We propose that this represent an important step forward for the microsystems community, opening the door to ever more complex and useful micromachines in the future.
OET system and characterization
The OET setup comprises a DMD-based pattern illuminator (Mightex Polygon 1000G, 625 nm 1100 mW LED source) interfaced with an upright optical microscope (Leica DM 2000 microscope integrated with Märzhäuser Scan Plus 100 × 100 motorized stage), using a ×10 or ×5 objective. The optical power densities of light patterns projected through the microscope were measured using a Thorlabs PM16-130 power meter to be 0.44 and 0.12 W/cm2 for the ×10 objective and ×5 objective, respectively (and no optical-induced heating was observed for these conditions). Finally, the resolution of optical patterns (defined as the lateral distance between two distinguishable optical points generated by adjacent DMD pixels) formed in this system are 0.8 and 1.5 μm for the ×10 objective and ×5 objective, respectively. OET devices were similar to those reported previously49,51,56, consisting of a 20 μL fluidic chamber sandwiched between two glass plates separated by a 150 μm spacer. The plates are coated with a thin layer of indium tin oxide (ITO), and the bottom plate is coated with an additional layer of a-Si:H (see Fig. 1d). AC potentials (5–30 Vpp, 10–30 kHz, sine waves) used to drive the OET device were supplied by a function generator (Agilent 33220A) and an amplifier (Thurlby Thandor Instrument WA31). At these frequencies, the sign of the real part of the Clasius–Mossotti factor is negative for the particles (photoresist micromotors, polystyrene beads, and biological cells) and liquid media (aqueous solutions with conductivity <30 mS/m) used here. When not specified otherwise, the OET bias was 30 Vpp at 10 kHz. In this frequency regime, DEP is the dominant force relative to AC electroosmosis66, and was used here because of empirical observation of high-fidelity micromotor movement in response to light pattern positions. SEM images were collected using an environmental SEM (QUANTA FEG 250 ESEM), with a pressure of 130 Pa and an electron beam with 10 keV energy and 3 nm spot size. 3D profiles were measured by an optical profilometer (Bruker Contour GT-K).
Micro-gears (including circular and linear/rack-style gears) were formed from SU-8 2050 (MicroChem, USA) at the University of Toronto’s Centre for Research and Applications in Fluidic Technologies (CRAFT) cleanroom facility using methods similar to those reported previously56. Briefly, 1 mL Omnicoat (MicroChem, USA) was spin-coated on top of a 4 in. silicon wafer (2000 r.p.m. for 30 s), followed by soft baking at 200 °C for 1 min. After cooling the silicon wafer to room temperature, 4 mL SU-8 2050 was spin-coated at 2500 r.p.m. (for ~60-μm-thick micro-gears) or 3500 r.p.m. (for ~30-μm-thick micro-gears) for 30 s atop the silicon substrate, followed by soft baking at 65 °C for 3 min and 95 °C for 8 min. Next, a mask aligner (OAI model 30) was used to illuminate the substrates (exposure energy: 9 mJ/cm2 for 20 s) through a photomask to selectively photo-crosslink the SU-8. After postexposure baking (65 °C for 2 min and 95 °C for 7 min) and developing in SU-8 developer (8 min), the substrates were air-dried with pressurized nitrogen. The substrates were then immersed in Remover PG (Microchem, USA) to dissolve the Omnicoat (3 min under gentle agitation) and to lift the photo-cured SU-8 micro-gears into suspension. The suspension was collected into a 15 mL tube and centrifuged at 14,500 × g for 30 s, the supernatant was removed, and the micro-gears were resuspended in bead medium [deionized (DI) water containing 0.05% volume ratio of Tween-20, P9416, Sigma] or sucrose medium [DI water, 9 wt% sucrose, 0.3 wt% d-glucose, 1.25% (v/v) phosphate-buffered saline (PBS)]. The centrifuge/resuspension process was repeated three times, after which the suspensions were stored at room temperature until use. Immediately prior to use, each micro-gear suspension was gently vortexed and an aliquot (15 μL) was loaded into the chamber of an OET device, followed by loading a second aliquot (5 μL) of bead or cell suspension.
Suspensions of polystyrene microparticles of different diameters (1, 3, 7, and 15 μm, Polysciences) were formed at 0.1–1 × 107 particles/mL in bead medium (with a conductivity of 5.0 mS/m) prior to loading into OET devices. B-16 cells were cultured in DMEM (Life Technologies) with 10% (v/v) fetal bovine serum (Gibco), and 1% (v/v) penicillin and streptomycin (Invitrogen) in cell culture flasks in a humidified incubator with 5% (v/v) CO2/air at 37 °C. Prior to experiments, cells were washed twice in PBS (Life Technologies), passaged in 0.25% Trypsin-EDTA (Life Technologies), and centrifuged and resuspended at 0.1–1 × 106 cells/mL in sucrose medium (with a conductivity of 22.1 mS/m). Finally, suspensions were filtered through a 40-μm cell strainer (Falcon) prior to loading into OET devices.
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This research was supported by the Natural Sciences and Engineering Research Council of Canada (Grant Nos. RGPIN 2019-04867, CREATE 482073-16, ALLRP 548593-19, and RTI-2019-00300) and the University of Toronto’s Medicine by Design initiative, which receives funding from the Canada First Research Excellence Fund (CFREF). The research was also supported by the National Natural Science Foundation of China (Grant Nos. 11774437 and 61975243) and Local Innovative and Research Teams Project of Guangdong Pearl River Talents Program (Grant No. 2017BT01X121). The authors acknowledge the support from the Centre for Nanostructure Imaging at the Department of Chemistry, University of Toronto for assistance in collecting SEM images, and the Centre for Research and Applications in Fluidic Technologies (CRAFT) for assistance in micromotor fabrication. Finally, we thank Ms. Unė G. Būtaitė (Univ. Glasgow), Dr. Jonathan M. Taylor (Univ. Glasgow), Dr. David B. Phillips (Univ. Exeter), and Dr. Ian Swyer (Univ. Toronto) for fruitful discussions. S. Zhang acknowledges the RBC Post-Doctoral Fellowship program. A.R.W. acknowledges the Canada Research Chair (CRC) program.
The authors declare no competing interests.
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Zhang, S., Elsayed, M., Peng, R. et al. Reconfigurable multi-component micromachines driven by optoelectronic tweezers. Nat Commun 12, 5349 (2021). https://doi.org/10.1038/s41467-021-25582-8
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