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Elastocapillary folding of three dimensional micro-structures using water pumped through the wafer via a silicon nitride tube

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ELASTOCAPILLARY FOLDING OF THREE DIMENSIONAL MICRO-STRUCTURES USING WATER PUMPED THROUGH THE WAFER VIA A SILICON NITRIDE TUBE

A. Legrain, J.W. Berenschot, R.G.P. Sanders, K. Ma, N.R. Tas and L. Abelmann

Transducers Science and Technology Group, MESA+Research Institute, University of Twente, P.O. Box 217, 7500AE Enschede, The Netherlands

Abstract — In this paper we present the first investigation of a batch method for folding of three-dimensional micrometer-sized silicon nitride struc-tures by capillary forces. Silicon nitride tubes have been designed and fabricated using DRIE at the cen-ter of the planar origami patcen-terns of the structures. Water is brought to the structures by pumping the liquid through the wafer via those tubes.

Isolated micro-structures were successfully folded using this method. The potential of this technique for batch self-assembly is discussed.

Keywords: Micro-fabrication, elasto-capillarity, self-assembly, origami, three-dimensional, micro-structures

I – Introduction

An important part of the research in the field of MEMS is nowadays focused on fabrication of three-dimensional (3D) systems [1]. It is well-known that the miniaturization of electronic elements becomes more and more difficult approaching fundamental limits. The third dimension presents a promising option to achieve much higher component densities.

The fabrication of 3D MEMS is difficult because of the inherent two-dimensionality of projection photo lithography [2]. Being primarily based on micro-machining, 3D structures are essentially an extension of 2D patterns obtained by means of lithography. There-fore the height, and complexity, of 3D structures is very limited. Self-assembly is seen to be an encouraging method to overcome these problems [1].

As we recently showed [3, 4, 5], capillarity is a very effective mechanism to achieve the folding of microme-ter sized planar structures into 3D shapes. It was demon-strated that 3D micro-objects of silicon nitride could be fabricated starting from planar geometries on which a tiny water droplet was deposited. Surface tension of the deposited liquid induces the out-of-plane rotation of infinitely stiff wings connected to each other by flexible hinges.

Microfabrication inspired on origami, the Japanese paper folding art, can combine the conventional parallel micro-fabrication with the creation of complicated 3D structures [6, 7, 8]. Structures assembled so far using elasto-capillarity have been folded after deposition of a tiny droplet of water using a manually controlled hollow fiber [3, 4, 5]. That method is adequate for experiments carried out in a laboratory, but obviously not for potential industrial applications.

One of the options to provide batch folding of struc-tures is to implement a central tube into the strucstruc-tures and pump water parallel through the wafer towards the structures. By selectively adding or retracting the water, one could nicely control the folding with the pump. Furthermore, the central position of the tube would ensure a good distribution of the liquid over the structures.

The work introduced here aims at the first experiment of folding isolated micro-structures using liquid pumped from backside. The micro-machining of silicon nitride structures patterns along with the preliminary folding experiments are presented in this paper.

II – Design and fabrication

Figure 1 presents a cross-section of the micro-structures during their folding by pumping water through the wafer. The structures are made with stiff flaps connected to each other by flexible hinges. The central plate is connected to a tube which passes com-pletely through the wafer as represented in figure 1a. All elements of the structure are made of silicon nitride.

The size of the flap is in the 50-200µm range, the radius of the tube is 34µm. The folding occurs with the evaporation of water once the pumping has stopped, as represented in figure 1b and c. Figure 2 presents the main steps of the fabrication of the structures

Figure 1: Folding principle. Water is pumped through the wafer via the central tube (a). The liquid overflows over the structures and the pumping is stopped. The water tends to reduce its liquid-air interface and induces the rotation of the flaps (b). Once the water is evaporated, the flaps stick together and the structure stays closed (c).

In order to reduce the length of etching through the

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Figure 2: Main steps of the process. See text for description of the steps.

wafer and make the future pumping easier, a thin (110) wafer is selected (380 µm thick). Then a foil is applied on the bottom-side of the wafer (a). This foil is tem-porary needed for the subsequent DRIE step through the entire wafer (b). It acts as an etch stop and prevents leakage of the helium backside cooling, ensuring a sta-ble temperature control of the wafer during the etching process. As a foil we use a DuPont MX500 polymer film [9]. The DRIE is performed using an ADIXEN AMS100SE machine using a Bosch recipe.

After removal of the foil using a reactive oxygen plasma, a 1 µm layer of silicon nitride is grown all over the wafer, including inside the hole, by LPCVD (c). Then, a lithography step follows to define the location of the flexible hinges (d). In order to protect the edges at the intersection between the tubes and the structures patterns, particular attention must be paid to the

lithog-raphy steps of the process. Otherwise, this intersection is attacked during the subsequent etching step and the silicon nitride patterns are not tethered anymore.

For this purpose, we used a relatively thin photo-resist (OiR 907-35). The wafer is spun at slow speed (2000 rpm) to provide a 5.2 µm thick layer of photo-resist. After verification, it appears that the outer limits of the tubes are protected with about 1 µm of photo-resist as represented in step (d) of the process. This layer is thick enough to protect the edges during etching of the silicon nitride.

Openings are created by a dry SiN etching step (RIE). After stripping the photo-resist in oxygen plasma and in HNO3, a 100 nm silicon nitride layer is deposited (e). This thin layer defines the flexible hinges which enables the structures to fold. Then another lithography step is performed to define the overall geometry of the structures. Once the edges are well-protected, the silicon nitride can be etched using a dry etching step (RIE) (f). At this time of the process, several origami-like patterns of structures (boxes, tetrahedrons, pyramids) are defined on top of the wafer. Finally, the last lithographic step is performed and the peripheral flaps are freed by under-etching the silicon in dry SF6gas etcher (g). The specific design parameters are given in figure 2 (g).

III – Fabrication results

Figure 3a represents a SEM photograph of an isolated tube surrounded by trenches in the first silicon nitride layer. This picture has been taken after the definition of folding locations, figure 2 (e). One can see in figure 3b the characteristic shape of the scallop due to the Bosche recipe used for the creation of the tube. Moreover, there is no discontinuity between the planar pattern and the tube thanks to the spinning of a 907-35 photo-resist layer at low rotation speed during the preceding lithography step as discussed in the previous section.

Figure 3: SEM picture of a silicon nitride tube through the wafer after step (d) in figure 2. At the end of the process, this will become a pyramidal pattern (a). Close up of the central part (b).

Figure 4a shows an origami pattern of a cube resting on its silicon nitride tube after the under-etching of the silicon substrate (figure 2 step (f)). Figure 4b is a close up view of the fixed central part. Thanks to the use

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of a thick enough photo-resist layer the pattern is still attached to the tube. We can also clearly observe the thin hinges along with the thicker flaps. The tube has a diameter of 34µm, the length of the side of the flaps is 60µm.

Figure 4: SEM picture of a silicon nitride origami pattern resting on a silicon nitride tube (a). Close up of the central part (b).

Figure 5 represents an overall view of a group of micron-sized patterns of boxes. The structures are ready to be folded at the same time.

Figure 5: SEM picture of the frontside of an array of unfolded structures. The holes in the centre can just be distinguised.

IV – Folding experiments A. Experimental details

When filling the tubes, the edge between the tube and the planar pattern forms a barrier, since at this point the radius of curvature of the surface of the water is the lowest. This induces a Laplace pressure, defined as ∆p=Pl-Pvwhere Plis the pressure of the liquid and Pv

is the pressure of the vapor, in this case the air [10]. The overpressure ∆p needed to overcome the edge is given by:

∆ p =2γ

R ' 10 kPa (1)

where γ=72mN/mis the surface tension of water at 25°C

and R is the radius of the curvature of the surface at the edge. Since the radius of the tube is in the sub-millimeter range, the radius of the curvature of the surface can be considered in first approximation of the same order of magnitude as the radius of the tube (R ' 34µm). A pump capable to apply this overpressure

is therefore required for the experiments. Moreover, pumping must be precise to avoid the structure to be submerged. Indeed, once the water gets over the edge, the Laplace pressure is much lower and the flow of water could become uncontrollable.

Thus, a high precision syringe pump has been used for our preliminary experiments. Small pulses of pumping can be realized with this pump. A fiber connects the pump to the bottom of a plate with a 0.8mm hole at the center. The sample is placed on this support and an accurate positioning system permits to perfectly align a structure with the fiber. A small silicone o-ring is placed between the sample and the fiber to ensure a watertight connection. The sample is fastened using a u-shaped clamping tool surrounding the structure.

B. Results

As expected, the water emerges out of the tube but a large amount of liquid comes out once the edge is overcome. However, even if the droplet is one order of magnitude bigger than the structure, it still remains on the silicon nitride pattern. Thus, the water does not overwhelm the substrate and the folding occurs after evaporation of the liquid. Once the flow stops and the volume of the droplet stabilizes, small volumes of water (5-10 nL) can be added by actuating the pump.

Figure 6 shows a long structure which has been folded using this setup. This new method of assembly is a considerable improvement for our research. Indeed, there is no deviation of the folding anymore due to the manual deposition of the water since the holes are designed precisely in the center of the structures. Furthermore, from now on the folding sequence can be studied more in depth by adding small volumes of water on demand.

Figure 6: SEM pictures of a long symmetric structure folded by pumping water through the tubes. An overview (a) and a close-up of one of the extremities (b).

V – Conclusion

It is possible to fabricate silicon nitride plates con-nected to a long silicon nitride tube which traverses the thickness of a wafer. One of the most critical process steps is to protect the outer limits of the tubes with a

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atively thin layer of photo-resist. This can be achieved by spinning the resist at low rotation speed.

Isolated three-dimensional micron-sized structures can be successfully folded using the surface tension of water pumped through the tubes from the backside of the wafer. As has been theoretically and experimentally shown, the critical point of the assembly is to pump the water out of the tubes to form droplet on the structure. The overpressure required to overcome this barrier can cause an uncontrolled flow once the droplet starts to form.

VI – Recommendations

Future work will have to address the issue of un-controlled flow. By reducing the capacitance of the pumping system and better control over the applied pressure, unwanted flow might possibly be reduced.

For batch fabrication, the pressure needs to be identi-cal in all tubes over the wafer, which will put stringent demands on the fluidic system. Nevertheless, this new method of assembly is promising, also for all fields of research where the behavior of liquid over surfaces is studied. The fact that the water is brought exactly where the holes have been designed and that small volume of water can be added on demand provides a strong advantage.

Acknowledgments

We wish to acknowledge the contribution of Joost van Honschoten to this work. The main theme of this publication is based on his original ideas. We commemorate his passion for science and for the subject of elasto-capillarity specifically.

References

[1] K. Ariga, J P. Hill, M V. Lee, A. Vinu, R. Charvet, and S. Acharya. Challenges and breakthroughs in recent research on self-assembly. Sci. Technol. Adv. Mater., 9:96 pp., 2008.

[2] Madou. Fundamentals of Microfabrication. CRC Press, New York, 1997.

[3] J. W. van Honschoten, J. W. Berenschot, T. Ondarc¸uhu, R. G. P. Sanders, J. Sundaram, M. Elwenspoek, and N. R. Tas. Elastocapillary fabrication of three-dimensional microstructures. Appl. Phys. Lett., 97:0141031–0141033, 2010. [4] J. W. van Honschoten, J. W. Berenschot, R. G. P.

Sanders, N. R. Tas, and M. Elwenspoek. Fabri-cation of three-dimensional microstructures using capillary forces. In Proc. of MicroMechanics Europe (MME), 115, 2009.

[5] J. W. van Honschoten, A. Legrain, J. W. Beren-schot, L. Abelmann, and N. R. Tas. Micro-assembly of three dimensional tetrahedra by cap-illary forces. In 24th IEEE International Confer-ence on Micro Electro Mechanical Systems, pages 288–291, Cancun, Mexico, january 2011.

[6] C. Py, P. Reverdy, L. Doppler, J. Bico, B. Roman, and C. N. Baroud. Capillary origami: Spontaneous wrapping of a droplet with an elastic sheet. Phys Rev Lett, 98(15):156103, 2007.

[7] T. G. Leong, A. M. Zarafshar, and D. H. Gracias. Three-dimensional fabrication at small size scales. Small, 6(7):792–806, 2010.

[8] M. Boncheva, S A. Andreev, L. Mahadevan, A. Winkleman, D R. Reichman, M G. Prentiss, S. Whitesides, and G M. Whitesides. Magnetic self-assembly of three-dimensional surfaces from planar sheets. Proc. Natl Acad. Sci., 102:3924– 3929, 2005.

[9] www.dupont.com. DuPont Mx5000 Series - Data Sheet and processing information.

[10] P. G. de Gennes, F. Brochard-Wyart, and D. Qu´er´e. Capillarity and Wetting phenomena Drops, Bub-bles, Pearls, Waves. Springer, 2004.

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