Full Paper Formation of Ordered Two-Dimensional Polymer Latticeworks With Polygonal Meshes by Self-Organized Anisotropic Mass Transfera Wei Li, Yaru Nie, Junhu Zhang, Difu Zhu, Xiao Li, Haizhu Sun, Kui Yu, Bai Yang* This manuscript addresses the formation of self-assembled two-dimensional (2D) polymer latticeworks with multiple polygonal meshes packed in various ordered arrays. Firstly, ordered arrays of water droplets were formed in the hydrophilic regions of patterned self-assembled monolayers (SAMs) consisting of isolated hydrophilic circles surrounded by a continuous hydrophobic region. After dip-coating this water-patterned surface into a polymer solution in chloroform, dewetting of the polymer solution led to the formation of a crater-like porous polymer film. Next, the resulting polymer film with round pores arranged in a 2D ordered array was subjected to a thermal treatment carried out at a temperature higher than the glass-transition temperature (Tg) of the polymer. The thermal annealing process resulted in a morphological transformation from circular pores into polygonal meshes packed in either a similar or different ordered array. This morphological transition is self-organized, involving mass transfer, an anisotropic process, and is controlled by the minimization of the Gibbs free energy. An empirical equation was established to guide the experiments. Thus, the patterned features of the polymer meshes can be designed via the ordered arrays of the hydrophilic circles of the SAMs as well as by experimental parameters such as the concentration of the polymer solution. The formation of the polymer latticework with polygonal meshes reveals that selforganized mass transfer can be applied in micropatterning by elaborate experimental design. W. Li, Y. Nie, J. Zhang, D. Zhu, X. Li, H. Sun, B. Yang Key Lab for Supramolecular Structure and Materials, College of Chemistry, Jilin University, Changchun 130012, P. R. China Fax: þ86 0431 8519 3423; E-mail: [email protected] K. Yu Steacie Institute for Molecular Sciences, National Research Council, 100 Sussex Drive, Ottawa K1A 0R6, Canada Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim a : Supporting information for this article is available at the bottom of the article’s abstract page, which can be accessed from the journal’s homepage at http://www.mcp-journal.de, or from the author. DOI: 10.1002/macp.200700469 247 W. Li et al. Introduction In modern science and technology, patterning technologies have been extensively applied in various fields[1] such as the fabrication of optical devices,[2] biochips,[3] electronic devices,[4] sensors,[5,6] actuators,[7] and microelectronic circuits.[8] Traditional photolithographic technology as well as several advanced lithographic technologies[9,10] have been well developed over the past few decades. These techniques are very successful in producing structures and patterns for diverse applications. However, they suffer from high cost and a lack of flexibility for application to the broader range of materials of growing modern technological interests. The need to overcome these problems has led to the emergence of many alternative techniques, such as soft lithography,[11] self-assembly,[12] and embossing.[13] These new techniques have attracted significant attention because they offer the possibility of patterning various materials over large areas at lower cost and higher throughput. In recent years, there has been an increasing interest in polymeric materials with ordered microstructures, due to their potential applications in many areas.[2–7] Polymeric materials usually exhibit unique properties, such as a glass transition and polymer compatibility, as compared to other materials. Therefore, in addition to conventional lithography, patterning techniques employing polymers have been developed, in addition to increasing our knowledge on controlling the surface morphology of various polymeric assemblies. More recently, some researchers have begun to focus on the surface instabilities of viscous polymer thin films. Such instabilities often lead to disordered structures and can be controlled by elaborate experimental design. As an example, Lee et al. demonstrated that the instability of anisotropic buckling in a thin polymer film could be employed to pattern polymeric materials.[14,15] The utilization of the phase-separation behavior of both polymer mixtures and block copolymers has also been reported, where the instabilities of phase separation are usually controlled by an underlying prepatterned variation of surface energies[16] or strong electrical fields.[17] Schäffer showed that sub-micrometer polymer patterns can be fabricated by controlling both the laterally-modulated destabilizing force and the destabilization of a thin polymer film that is exposed to an external electric field or a high-temperature gradient.[18,19] Moreover, to induce the surface pattern of polymeric films, recent studies have indicated that the utilization of instabilities in dewetting processes may be a promising strategy.[20–23] Herein, we report our study on the self-organized formation of two-dimensional (2D) polymer latticeworks with multiple polygonal meshes arranged in ordered arrays. The process is straightforward and consists of the 248 Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim dewetting of a polymer solution leading to a ‘‘crater-like’’ porous polymeric film with a subsequent thermal treatment that results in a morphological transition, and thus the formation of an ordered polymer latticework with polygonal meshes. The dewetting process of the polymer solution takes place on a water-patterned substrate which is generated via the condensation of water droplets on underlying patterned self-assembled monolayers (SAMs) consisting of hydrophilic domains distributed in a hydrophobic matrix.[20,23] The morphological transition was an anisotropic process with mass redistribution in directions determined by the features of the porous polymeric film, which replicated the original chemical pattern on SAMs. This mass-transfer process was a self-organized process controlled by the minimization of the Gibbs free energy. Therefore, various polygonal features of the polymeric meshes could be fabricated simply by adjusting the original SAMs on gold substrates. Results and Discussion Formation of Ordered Polymer Latticeworks with Regular Polygonal Meshes on Patterned SAMs Figure 1 shows a schematic of the overall strategy for the fabrication of ordered polymer latticeworks with polygonal meshes on gold substrates. The fabrication of these Figure 1. Schematic outline of the procedure used to fabricate ordered polymer latticeworks with regular polygonal meshes supported on gold substrates. DOI: 10.1002/macp.200700469 Formation of Ordered Two-Dimensional Polymer Latticeworks . . . polymer latticeworks involves two main stages: the formation of a polymer film with circular pores arranged in an ordered array and the subsequent self-organization of the polymer film into a polymer latticework with polygonal meshes packed in a similar or different array. The first stage is achieved by dewetting a polymer solution coated on water-patterned SAMs, the second stage takes place during a thermal annealing process carried out above the glass-transition temperature (Tg) of the polymer. Previous studies have demonstrated that with techniques, such as conventional lithography,[24] microcontact printing (mCP) and vapor deposition,[25] various solid surfaces can be patterned at micrometer-sized areas with different wettabilities. When a liquid film is deposited on these surfaces, the liquid will selectively dewet specific areas and wet the remaining areas, transferring the patterns on solid surfaces into liquid microstructures. In our experimental approach, patterned SAMs with domains of different wettabilities on flat gold substrates were fabricated through mCP,[26] with water condensation taking place on the hydrophilic areas. As regards the patterned SAMs shown in Figure 1, the isolated and circular domains are COOH-terminated hydrophilic SAM regions, surrounded by a continuous matrix of CH3-terminated SAM. Exposing the patterned SAMs to a water-saturated N2 flow formed water droplets on the hydrophilic regions in ordered arrays, replicating the original SAM pattern due to the selective wetting of water on the two different surface domains. This principle has been successfully applied to generate liquid-patterned condensation figures[25,26] and 2D inverse patterns can be further fabricated by dewetting these condensation figures from immiscible solutions of materials.[20] As shown in Figure 1, the water-patterned SAMs on gold substrates were dipped into a polystyrene (PS) solution in chloroform and immediately withdrawn. After the complete evaporation of chloroform and water, a PS film with circular pores arranged in an ordered array remained. Our previous results have revealed that the polymer concentration in the chloroform solution plays an important role in this dewetting process.[23] Ordered arrays of polymer rings were formed instead of the porous polymer films when the solution concentration was low enough due to the occurrence of a second dewetting process during solvent evaporation. For the PS solution used in the present study, with a molecular weight of 280 000 (Mw ), the critical concentration was 2 mg mL1.[23] Accordingly, the concentrations of the PS solutions used here were always higher than 3 mg mL1 to attain polymer films with ordered pores. Figure 2A shows a field-emission scanning electron microscopy (FESEM) image of a porous PS film created from an 8 mg mL1 PS solution in chloroform. The circular areas with higher transmission in the central part as compared to the periphery are holes that replicate the condensation Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Figure 2. (A) FESEM image of the porous polymer film; the inset gives a sketch of the underlying chemical pattern; (B) FESEM image of the polymer latticework with regular square meshes after thermal annealing; the inset shows a magnified image. The sample was fabricated by dewetting from an 8 mg mL1 PS solution. figure after water evaporation. The ordered array of water droplets replicates the hydrophilic areas of the patterned SAMs; thus, the diameter of the holes in the PS film can be readily controlled using different mCP patterns. The corresponding chemical pattern is presented in the inset of Figure 2: the diameter of the hydrophilic circles is 10 mm and the nearest center-to-center distance is 14 mm. Figure 2B shows an image of the polymer latticework morphology that resulted by annealing the porous polymer film shown in Figure 2A thermally for two hours. During the process of thermal annealing to fabricate polymeric microstructures, the polymer film is softened at a temperature much higher than the Tg of the polymer to attain fluidity.[27] In the present study, thermal treatment was carried out at 150 8C, whereas the Tg of the PS used is 100 8C. Figure 2 clearly displays the morphological transition from polymer film with circular pores arranged in a square array to a polymer latticework consisting of square meshes. Figure 2B is indicative of the level of perfection, ordering, scale, and areas that could be www.mcp-journal.de 249 W. Li et al. Figure 3. Multiform polymer latticeworks with regular polygonal meshes fabricated by this method (A) hexagons meshes; (B) triangles meshes; (C) rhombuses meshes; (D) trapezoids and pentagons meshes. The insets demonstrate sketches of the chemical pattern predesigned for these structures. All of the samples in this Figure were fabricated from an 11 mg mL1 PS solution. achieved routinely using our process. An FESEM image with a higher magnification is shown in the inset of Figure 2B. The width of the square meshes is approximately 1.6 mm, which is much less than 4 mm, the closest distance between two adjacent hydrophilic circles on the original patterned SAMs. In order to understand the dynamic development of the morphological transition from circular pores to square meshes during the thermal treatments, we recorded this process in situ with an optical microscope equipped with a CCD camera (the video file is available as Supporting Information). The optical microscopy demonstrates that the circular pores of the polymeric film are dilated during the annealing process. Whereas the holes are dilated in all directions, the dilation is anisotropic in nature, with four directions demonstrating a relatively faster rate of dilation. The four directions of faster dilation are indicated by the black square and black arrows in the inset of Figure 2A. These directions correspond to the diagonals of the black square that is formed from four symmetry centers of the square interstices among the four adjacent circular holes. Consequently, the circular holes with a closest distance of 4 mm are transformed to square meshes with a 250 Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim much smaller frame width as a result of the dilation process. The in situ monitoring of the annealing process strongly suggests that the morphological transition stems from an anisotropic dilation of the circular pores. Additionally, the dilation is influenced by the arranged features of the circular pores, which comes from the hydrophilic circular regions of the printed SAMs. Therefore, the final morphological features of the final polymer latticework can readily be tuned with suitable mCP patterns. The insets in Figure 3(A–D) demonstrate four examples of patterns and the corresponding polymer latticework morphologies obtained are shown in Figure 3(A–D), respectively. The hydrophilic circles are 10 mm in diameter, with a shortest center-to-center distance of 14 mm, however they are designed with different ordered arrays. Multiple polygonal meshes such as hexagons, triangles, rhombuses, trapezoids and pentagons were successfully fabricated by generating water condensation figures on these patterns and applying an 11 mg mL1 PS solution. Black arrows and black polygons are shown in the insets to indicate the directions of faster dilation. For the mCP patterns shown in Figure 3A and Figure 3B, the circular holes have six and three DOI: 10.1002/macp.200700469 Formation of Ordered Two-Dimensional Polymer Latticeworks . . . directions separately of faster dilation during the dilation process. This ultimately results in hexagonal and triangular meshes. There are four directions of faster dilation for the circular holes shown in Figure 3C, with two of those directions being faster than the other two (denoted by the long black arrows in the inset of Figure 3C). As these two directions offered more space for dilation, the resulting pattern that formed was a rhomboidal mesh. For the Figure 4. (A) AFM image of porous polymer film; the diameter of the original underlying hydrophilic circles is 10 mm; (B) AFM image of the morphology after thermal annealing corresponding to the sample in (A); (C) AFM image of porous polymer film, the diameter of the original underlying hydrophilic circles is 8 mm; (D) AFM image of the morphology after thermal annealing corresponding to the sample in (C). The period of the chemical pattern for the samples in this Figure is 14 mm. All of the samples were fabricated from a 13 mg mL1 PS solution. Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.mcp-journal.de 251 W. Li et al. porous polymer film formed from the pattern shown in the inset of Figure 3D, there are two types of dilation: one labeled with dark solid arrows, the other indicated by dark dashed arrows. The former has one direction with the fastest rate of dilation and four directions with the second fastest rate of dilation, while the latter has two directions with the fastest rate of dilation. Accordingly, the resulting polymer latticework has an ordered array of pentagonal and trapezoidal meshes together. As the FESEM images in Figure 3 indicate, the formation of these polymer meshes with polygonal features packed in different ordered arrays demonstrates that the ordered arrays of the circular pores of the polymer films affect their self-organization with anisotropic mass transfer during thermal treatments. Thus, the geometry of the ordered polymer meshes can be controlled through the proper design of the chemical patterns on the original SAMs. Mechanism of the Formation of Polymer Latticeworks with Polygonal Meshes Figure 4A and Figure 4B show atomic force microscopy (AFM) height-mode images of two samples produced by dewetting from a 13 mg mL1 PS solution, with the latter sample produced by thermal annealing for 2 h after dewetting to generate the polymer latticework structure. The pattern features of the underlying SAMs are the same as in Figure 2. Figure 4A clearly shows that the circular pores are crater-like with high rims and low interstices between adjacent pores. Moreover, height analysis reveals the thickness between neighboring pores along the shorter line in Figure 4A is greater than that along the other line. It is obvious that polymer films become softened and mobile during the thermal-annealing process. Thermodynamically, the stability of a fluid film is assumed to be governed by the change in Gibbs free energy[28] and a thermodynamic system will spontaneously tend to go to the lowest Gibbs-free-energy state. Accordingly, during the thermal treatment, the crater-like porous PS film that is in a relatively-higher Gibbs-free-energy state has a microstructure that is difficult to preserve and surface tension will result in shrinkage of the surface area as a result of the minimization of surface free energy. Previous work in the literature have reported that polymer films can be dewetted from the substrate by an annealing-initiated process.[15] Here, polymer transferred from the higher rims to lower film regions together with volume shrinkage and dewetting process afterwards to reduce the Gibbs free energy of the system, to initiate the subsequent dilation of the circular holes when the polymer film was annealed above its Tg. Additionally, the morphological features of the porous polymer film give an anisotropic character to the dilation process. As observed in Figure 4A, the average film 252 Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim thickness is different in different areas of the film. The film becomes thinner when it is further away from the circular rims. Specifically, the symmetry centers of the square interstices among the four adjacent circular holes have the smallest film thickness for the mCP pattern used in Figure 4A. Obviously, the height intercept between the rims and the polymeric valley of this crater-like morphology favors mass transfer in the dewetting process during the annealing. Polymer will shrink and dewet from the substrate faster in the directions pointing to thinner areas to decrease the Gibbs free energy more efficiently. Therefore, the dilation rate in the direction of the green line that points to the symmetry centers of the square interstices with a larger height intercept is faster than the direction of the red line which points to the interstices just between two neighboring holes. This self-organizing effect directly drew the circular hole to the regular square meshes (see the white arrows in Figure 4A) and other geometries shown in Figure 3. Figure 4B demonstrates that the height intercept disappeared and the height of the polymer latticework structure was uniform after the thermal annealing. This indicates that the driving effect for the formation of polygonal meshes by the height intercept of the crater-like porous polymer film disappeared after 2 h of thermal annealing. It is worth pointing out that the polymer latticework structure is still not in the lowest Gibbs free energy state; namely, it is only an intermediate state. The annealing time should be chosen carefully as less thermal annealing time was needed when a polymer with lower Tg was used or if the thermal annealing was performed at a higher temperature. Excess thermal treatment would finally lead to disordered structures. The FESEM image of a sample that was annealed at 150 8C for 24 h is available as Supporting Information. In our experiments, another important prerequisite for the formation of polymer latticework structures is that the diameter of the circular hole must be larger than 2/3 the pattern period, the shortest center-to-center distance between two adjacent holes, to guarantee that there are enough film height intercepts in different directions. If the diameter of the holes was less than this value, the intercept was almost the same in all directions and the circular holes exhibited an isotropic dilation process in this case. Figure 4C and Figure 4D show AFM height-mode images of two samples, both produced from the same experimental conditions as the samples in Figure 4A and Figure 4B. The diameter of the hydrophilic circles used here was 8 mm, while the period remained 14 mm. From the height analysis of Figure 4C, we observe that the intercepts are uniform in all directions. Thus, the holes had an isotropic dilation process to form the morphology in Figure 4D such that only a porous polymer film with larger holes was fabricated after thermal DOI: 10.1002/macp.200700469 Formation of Ordered Two-Dimensional Polymer Latticeworks . . . annealing instead of polygonal polymer meshes. In this situation, because the height intercept has disappeared, a latticework structure with regular polygonal meshes could not be formed, even after further thermal treatment. PS is used as an example here, but our method could also be extended to other polymeric materials. The only requirement seems to be that these materials have fixed Tg and can be dissolved in a volatile organic solvent that is immiscible with water. Factors Influencing the Final Polymer Morphology For many applications that utilize polymer-patterning techniques, it is necessary for the morphological polymer features to have the possibility of being easily adjusted. In our method, the height and the width of polymer frames in the fabricated latticework structure with polygonal meshes were strongly influenced by the solution concentration and the pattern features of the original SAMs. Figure 5 shows AFM height-mode images of four samples produced from different experimental conditions. The conditions for the samples shown in Figure 5A and Figure 5B were the same, except for the solution concentration, which was 6 mg mL1 and 15 mg mL1 respectively. The underlying scale of the surface chemical pattern that consisted of hydrophilic circles was 10 mm in diameter, separated by 4 mm. These two images indicate that the dimensions of the polymer latticework frame tended to increase both in width and height with increasing concentration of the polymer solution concentration. Figure 5C has the same solution concentration, and the same mCP pattern features as Figure 5A, however the arrays of the hydrophilic circles were designed to form a hexagonal latticework structure. Both the height and the width of the polymer latticework frame decreased in this Figure 5. (A) AFM image of a latticework structure fabricated by this method. The concentration of PS solution was 6 mg mL1, the underlying chemical pattern was designed for square meshes. Hydrophilic circles were 10 mm in diameter and separated by 4 mm; (B) AFM image of a latticework structure. The experimental conditions are same as for (A) except that the solution concentration was 15 mg mL1; (C) AFM image of a latticework structure. The experimental conditions are same as for (A) except that the underlying chemical pattern was designed for hexagon meshes; (D) AFM image of a latticework structure. The experimental conditions are same as for (A) except that the hydrophilic circles were 12 mm in diameter and separated by 5 mm. Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.mcp-journal.de 253 W. Li et al. Figure 6. (A) Sectional sketches of the polymer latticework structure and the dip-coating film of polymer solution on the water-patterned substrate; (B) Curve of wh and C for different underlying chemical patterns. case. In Figure 5D, the diameter of the underlying hydrophilic circles was 12 mm and the period changed to 17 mm, with other conditions remaining the same as for the sample shown in Figure 5A. The dimensions of the polymer latticework frame were increased remarkably as compared to Figure 5A. These phenomena can be explained by a derived empirical equation that can also be used to guide other experiments in our process. As indicated in Figure 6A, Stage I is a cross-sectional sketch of dip-coating a PS solution film on the water-patterned substrate and stage II represents a polymer latticework structure with polygonal meshes after thermal annealing. Because of the law of conservation of matter, the polymer mass in stage I should be equal to that in stage II. After mathematical derivation, the empirical equation is in the form: wh ¼ 0:55 CPðH 0:67qrÞ rpolymer (1) Where w is the width of the latticework frame, h is the height of the latticework frame, C is the concentration of the polymer solution, P is the period of both the underlying chemical pattern and the final polygonal latticework structure, H is the coating solution thickness, rpolymer is the polymer density, q is the ratio of the total hydrophilic area and the total substrate area, and r is the radius of the hydrophilic circle. The details of the derivation are given in the Supporting Information. Equation 1 clearly elucidates the association between the wh of the final latticework frame and the experimental conditions such as C, P, q and r. The variable q here was varied for different modes of design arrangement of the hydrophilic circles on the chemical patterns, such as those shown in Figure 2 and 254 Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Figure 3. It represents the influence of the underlying chemical pattern and can readily be calculated for a fixed pattern. H remains unknown in this empirical equation. Usually, the thickness of a dip-coating film on a flat, homogeneous substrate can be calculated by the Landau-Levich equation[29,30] when the capillary numbers mU/ s 1, which gives: H ¼ 0:944 2 ðmUÞ =3 1 1 s =6 ðrGÞ =2 (2) In Equation (2), m is the solution viscosity, U is the withdrawal speed, s is the surface tension at the solution/ air interface, r is the fluid density and G is the gravitational constant. The coating thickness is mainly defined by the withdrawal speed, the solid content and the viscosity of the liquid.[31] In the current work, all of the polymer solutions were dilute polymer solutions (3 mg mL1 to 25 mg mL1 in chloroform solution with a solid content of 0.2-1%). m, r and s vary little in this concentration range when the molecular weight of the polymer is only 280 000. Moreover, the height of the water droplets strongly influences H in our experiments and it was directly dependent on the value, r. Based on the above analysis, H will change little for a fixed chemical pattern and a constant withdrawal speed; wh was in direct proportion to C according to Equation (1) in the concentration range we used here. The experimental results agreed well with this conclusion. Figure 6B shows the relationship of wh and C for different chemical pattern dimensions and arrangement modes. For a fixed pattern, we can find two points on the straight line and forecast the concentration that is needed for a given value of wh. DOI: 10.1002/macp.200700469 Formation of Ordered Two-Dimensional Polymer Latticeworks . . . Figure 7. (A) Photograph of PS film with perforated latticework structure floating on water surface; (B) Optical image of PS film with latticework structure transferred onto Si substrate; (C) FESEM image of a PS latticework structure with square meshes on curved plane; (D) Optical image of PDMS stamp fabricated by replica molding from a PS latticework structure on a Si substrate. The physical meaning of wh is the cross-sectional area of the frames of the as-prepared polygonal latticework structure; thus, we can control the features of the cross-sectional area of the latticework frames by changing C, P, r and q according to the empirical equation, Equation (1). This is especially useful for materials whose functionality is strongly influenced by their cross-sectional area, such as conductive polymers. Experimental results also indicated that w and h have the same variability, that is to say, they increase and decrease together with changes in C, P, r and q. Applications of the Polymer Latticework Structures with Polygonal Meshes The polymer latticework structures with polygonal meshes were formed during thermal treatment; thus, there is no chemical bonding between the polymer film and the underlying substrate. Because gold surfaces were used as the substrates, first to generate the chemical pattern of the patterned SAMs, and subsequently to prepare the polymer latticework film, the film will lift off of the substrate by etching the underlying Au layer. Since most polymers are acid-resistant, we chose dilute a.u. regia Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim to etch the gold layer.[32] Other etching solutions can also be used according to previous work.[33,34] The porous polymer films always float on the top of the water surface, making it easy to separate them from the underlying substrate. Figure 7A is a photograph of the PS film with a square latticework structure floating on the water surface after etching. Color scattering that results from the microstructure of the film can be seen in this photo. The area of the obtained polymer film with ordered latticework structures could be up to several square centimeters through careful control of the experimental process. Here, the polygonal meshes are perforated, completely-open microstructures. Generally, when using photolithography and etching, the fabrication of completely-open ‘‘through’’ structures requires multiple lithographic steps, thus increasing fabrication costs.[35,36] Our method offers a facile way to fabricate similar structures. After peeling-off the films from Au substrates, we can retrieve the films on other substrates; even curved faces could be applied. Figure 7B demonstrates an optical image of the polymer latticework film transferred onto Si substrates. The film was transferred into double layers by repeating this operation for the purpose of proving that the structure presented here was really transferred to the Si substrate. In www.mcp-journal.de 255 W. Li et al. Figure 7C, the polymer latticework structure was transferred to a curved face. During the transfer procedure from the water surface, water always filled the interface between the polymer film and the substrates just after the film was retrieved, whereas the surface tension of the water ensured that the soft polymer film kept its morphology and did not fold. Figure 7B and Figure 7C show that the polygonal latticework structure could be maintained well after the complete evaporation of the water. For the reason that it is difficult for traditional photolithographic strategies to fabricate microstructures on curved surfaces, our method also provides a pathway to curved surface micropatterning. Figure 7D shows an optical image of a polydimethylsiloxane (PDMS) stamp that was fabricated by replica molding from a PS latticework structure with square meshes. These ordered polymer latticework structures are also expected to find applications in device manufacturing, biological applications or as etching/plating protection films in relief morphology fabrication. cover slides with surfaces that had been primed with a thin layer of chromium. Patterned SAMs on a gold surface were prepared by microcontact printing (mCP) following the printing method for alkanethiols on gold as described by Kumar et al.[37] 16-Mercaptohexadecanoic acid (Aldrich) was used as the ink to generate the dispersed COOH-terminated hydrophilic SAM. Hexadecanethiol (Aldrich) was used to form a continuous hydrophobic CH3-terminated SAM. The patterned SAMs were carefully washed with chloroform; then, N2 flow saturated with water vapor was streamed across the surface of the patterned SAMs through a glass nozzle immediately after the chloroform evaporated. The inspection of the water-condensation process was carried out in situ using optical microscopy. Ordered water-droplet arrays were formed on the substrate after this procedure. This water-droplet-covered gold substrate was dipped into a PS (Aldrich) solution in chloroform and withdrawn immediately at a speed of 1–3 cm s1. The solution concentration was ranged from 3 to 25 mg mL1. After chloroform and water completely evaporated at room temperature, an ordered porous PS film remained. This porous film was thermally annealed at 150 8C, leading to the polymer latticework structures with polygonal meshes. The annealing time was typically 2 h and then the sample was cooled to below its Tg to freeze the structure. Conclusion In summary, we have demonstrated a simple method to fabricate polymer latticework structures with multiple polygonal meshes. Experimental results show that the formation of the final polygonal meshes should result from a Gibbs-free-energy-controlled anisotropic mass-transfer process. The different mass-transfer rates in different directions were induced by crater-like polymer morphologies. This method could be extended to other polymers, and different shapes of the polymer meshes were acquired by simply adjusting the dimension features of the chemical pattern on the underlying Au substrates. We also derived an empirical equation to partly guide the final polymer latticework morphology. Moreover, the polymer structures we fabricated could be peeled off and transferred to other substrates for further applications. These polymer latticework morphologies with polygonal meshes may be promising for ‘‘through’’ microstructure fabrication of polymers, both on even and curved surfaces, or other device-oriented applications. Our strategy utilizing a self-organized mass-transfer process opens a new alternative for polymer micropatterning techniques. Experimental Part Preparation of the Polymer Latticework with Regular Polygonal Meshes The overall procedure for fabricating polymer latticeworks with polygonal meshes on patterned SAMs is depicted in Figure 1. Thin films of gold were prepared using thermal evaporation onto glass 256 Macromol. Chem. Phys. 2008, 209, 247–257 ß 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Etching of the Underlying Au Substrate and Polymer-Film Transfer Etching experiments were carried out by immersing the polymerpatterned Au substrates into a.u. regia (3 HCl þ 1 HNO3) for 4 h to etch away the underlying Au film.[32] In order to make the etching process react less violently, the a.u. regia solution was diluted by de-ionized water to 1:10 (v:v) prior to etching. The polymer film with latticework structures was detached from the substrate and floated on a water surface after this etching process and it could be retrieved and transferred onto other substrates. Before transferring, the substrates needed to be cleaned with appropriate solvents. Characterization Scanning electron microscopy was done on a JEOL JSM 6700F field-emission scanning electron microscope (FESEM), and samples were sputtered with a layer of gold (10 nm thick) prior to imaging. Atomic force microscopy (AFM) observations of the sample surfaces were carried out with a commercial instrument (Digital Instrument, Nanoscope IIIa, Multimode), and all of the images were obtained in contact mode under ambient conditions at room temperature. Triangular Si3N4 cantilevers with pyramidal tips purchased from Nanosensor were used to image the polymer films. The optical microscopy experiments were carried out on an Olympus BX51 microscope in reflection mode. The pictures were captured with an MVC1000 USB2.0 megapixel camera and the videos were recorded with a Panasonic color charge-coupled device (CCD) and digitized with a frame grabber. Acknowledgements: This work has been supported by the National Natural Science Foundation of China (No. 20534040), DOI: 10.1002/macp.200700469 Formation of Ordered Two-Dimensional Polymer Latticeworks . . . the National Basic Research Program of China (2007CB936402), the program for Changjiang Scholars and Innovative Research Team in University (No. IRT0422) and the program of Introducing Talents of Discipline to Universities (B06009). Received: August 15, 2007; Revised: November 6, 2007; Accepted: November 8, 2007; DOI: 10.1002/macp.200700469 Keywords: annealing; dewetting; micropatterning; monolayers; self-assembly [1] M. Geissler, Y. Xia, Adv. Mater. 2004, 16, 1249. [2] E. Mele, F. D. Benedetto, L. Persano, R. Cingolani, D. Pisignano, Nano Lett. 2005, 5, 1915. [3] E. Szili, H. Thissen, J. P. Hayes, N. Voelcker, Biosens. Bioelectron. 2004, 19, 1395. [4] I. Martini, D. Eisert, M. Kamp, L. Worschech, A. Forchel, J. Koeth, Appl. Phys. Lett. 2000, 77, 2237. [5] C. Hagleitner, A. 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