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Ⅴ OLUME85. NUMBER25 PHYSICAL REVIEW LETTERS i 8 DECEMBER 2000 (4 P. Yang, T. Deng, D. Zhao, P Feng, D. Pine, B F. Chmelka G M. Whitesides, and G.D. Stucky, Science 281, 2244 65A.V. Blaaderen, R. Ruel, and P. wiltzius, Nature(London) 385,321(199 6]J. Zhu, M. Li, R. Rogers, w. Meyer, R H Ottewill, W. B Russel, and P. M. Chaikin, Nature (London) 387, 883 [7 Z. Cheng, W.B. Russel, and p. M. Chaikin, Nature (Lon- don)401,893(1999) 8]AE. Larsen and D G. Grier, Nature(London) 385, 230 FIG 4(color). Left panel: a picture of the locally fivefold symmetric structure observed at one area of the overall [9] T.J. Chen, R.N. Zitter, and R. Tao, Phys. Rev. Lett. 68 orphous planar lattice with two different sized coated 255(1992) There is an erfection in the structure, at [10] L. Zhou, W. Wen, and P. Sheng, Phys. Rev. Lett. 81, 1509 about the 7 o'clock position, where a large sphere is located at (1998) he position for a small sphere. Rig uasicrystalline structure, such as that shown in[20]. [11]w. Wen, N. Wang, H Ma, Z Lin, W.Y. Tam, C.T. a drawing of a a distinct similarity with the picture in the left panel is noted and P. Sheng, Phys. Rev. Lett. 82, 4248(1999) [12] A.T. Skjeltorp, Phys. Rev. Lett. 51, 2306(1983);J Phys.55,2587(1984) crystals may be obtained with ease. These planar magnetic [13] M. Golosovsky, Y. Saado, and D. Davidov, AppL. Phys lattices with tunable lattice constants may present some po- Lett.75,4l68(1999) tential applications, such as a modulation of surface waves [14] S. Yeh, M. Seul, and B I. Shralman, Nature(London)386, and as a template for growing 2D photonic crystals 57(1997 We thank N. Wang, Z Q. Zhang, and X.X. Zhang for [5]L. Ramos, T.C. Lubensky, N. Dan, P. Nelson, and D A useful comments and helpful discussions. This work is Weitz, Science 286, 2325(1999) partially supported by DAG Grant No. DAG99/00SC32. [16]K Zahn, R. Lenke, and G. Maret, Phys. Rev.Lett.82, 2721 (1999) [17] C. Hammond, The Basics of Crystallography and Diffrac- tion(Oxford University Press, New York, 1997) [18] W.Y. Tam, G.H. Yi, W. Wen, H. Ma, M.M.T. Loy, and [1 P.N. Pusey and w. van Megen, Nature(London)320, 340 P. Sheng, Phys. Rev. Lett. 78, 2987(1997) (1986 [19] We can use smaller microspheres than those used here 2]A D. Dinsmore, J C. Crocker, and A G. Yodth, Curr Opin microspheres small in diameter are Colloid Interface Sci. 3, 5(1998) more difficult to coat and are also hard to control due to [3] Special issue on"From dynamics to devices: directed self- increased Brownian motion assembly of colloidal materials, "edited by D G. Grier [20] C. Janot, Quasicrystals, A Primer(Clarendon Press, Ox [MRS Bull. 23, No 10, 21(1998)1VOLUME 85, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 18 DECEMBER 2000 FIG. 4 (color). Left panel: a picture of the locally fivefold symmetric structure observed at one area of the overall amorphous planar lattice with two different sized coated microspheres. There is an imperfection in the structure, at about the 7 o’clock position, where a large sphere is located at the position for a small sphere. Right panel: a drawing of a fivefold quasicrystalline structure, such as that shown in [20]. A distinct similarity with the picture in the left panel is noted. crystals may be obtained with ease. These planar magnetic lattices with tunable lattice constants may present some po￾tential applications, such as a modulation of surface waves and as a template for growing 2D photonic crystals. We thank N. Wang, Z. Q. Zhang, and X. X. Zhang for useful comments and helpful discussions. This work is partially supported by DAG Grant No. DAG99/00.SC32. [1] P. N. Pusey and W. van Megen, Nature (London) 320, 340 (1986). [2] A. D. Dinsmore, J. C. Crocker, and A. G. Yodth, Curr. Opin. Colloid Interface Sci. 3, 5 (1998). [3] Special issue on “From dynamics to devices: directed self￾assembly of colloidal materials,” edited by D. G. Grier [MRS Bull. 23, No. 10, 21 (1998)]. [4] P. Yang, T. Deng, D. Zhao, P. Feng, D. Pine, B. F. Chmelka, G. M. Whitesides, and G. D. Stucky, Science 281, 2244 (1998). [5] A. V. Blaaderen, R. Ruel, and P. Wiltzius, Nature (London) 385, 321 (1997). [6] J. Zhu, M. Li, R. Rogers, W. Meyer, R. H. Ottewill, W. B. Russel, and P. M. Chaikin, Nature (London) 387, 883 (1997). [7] Z. Cheng, W. B. Russel, and P. M. Chaikin, Nature (Lon￾don) 401, 893 (1999). [8] A. E. Larsen and D. G. Grier, Nature (London) 385, 230 (1997). [9] T. J. Chen, R. N. Zitter, and R. Tao, Phys. Rev. Lett. 68, 255 (1992). [10] L. Zhou, W. Wen, and P. Sheng, Phys. Rev. Lett. 81, 1509 (1998). [11] W. Wen, N. Wang, H. Ma, Z. Lin, W. Y. Tam, C. T. Chan, and P. Sheng, Phys. Rev. Lett. 82, 4248 (1999). [12] A. T. Skjeltorp, Phys. Rev. Lett. 51, 2306 (1983); J. Appl. Phys. 55, 2587 (1984). [13] M. Golosovsky, Y. Saado, and D. Davidov, Appl. Phys. Lett. 75, 4168 (1999). [14] S. Yeh, M. Seul, and B. I. Shralman, Nature (London) 386, 57 (1997). [15] L. Ramos, T. C. Lubensky, N. Dan, P. Nelson, and D. A. Weitz, Science 286, 2325 (1999). [16] K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. 82, 2721 (1999). [17] C. Hammond, The Basics of Crystallography and Diffrac￾tion (Oxford University Press, New York, 1997). [18] W. Y. Tam, G. H. Yi, W. Wen, H. Ma, M. M. T. Loy, and P. Sheng, Phys. Rev. Lett. 78, 2987 (1997). [19] We can use smaller microspheres than those used here. However, microspheres smaller than 1 mm in diameter are more difficult to coat and are also hard to control due to increased Brownian motion. [20] C. Janot, Quasicrystals, A Primer (Clarendon Press, Ox￾ford, 1992). 5467
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