Spontaneous generation of complex order in apparently simple systems is both arresting and potentially useful1,2,3,4,5,6,7,8,9,10,11. Here we describe the appearance of complex, ordered structures induced by the buckling of thin metal films owing to thermal contraction of an underlying substrate. We deposit the films from the vapour phase on a thermally expanded polymer (polydimethylsiloxane, PDMS). Subsequent cooling of the polymer creates compressive stress in the metal film that is relieved by buckling with a uniform wavelength of 20–50 micrometres. The waves can be controlled and orientated by relief structures in the surface of the polymer, which can set up intricate, ordered patterns over large areas. We can account qualitatively for the size and form of the patterned features in terms of the non-uniform stresses developed in the film near steps on the polymer substrate. This patterning process may find applications in optical devices such as diffraction gratings and optical sensors, and as the basis for methods of strain analysis in materials.
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Whitesides, G. M., Mathias, J. P. & Seto, C. T. Molecular self-assembly and nanochemistry: a chemical strategy for the synthesis of nanostructures. Science 254, 1312–1319 (1991).
Desiraju, G. R. Crystal Engineering: The Design of Organic Solids (Elsevier, New York, 1989).
van Blaaderen, A., Ruel, R. & Wiltzius, P. Template-directed colloidal crystallization. Nature 385, 321–324 (1997).
Bain, C. D.et al. Formation of monolayer films by the spontaneous assembly of organic thiols from solution onto gold. J. Am. Chem. Soc. 111, 321–335 (1989).
Voet, D. & Voet, J. G. Biochemistry (Wiley, New York, 1995).
Davis, M. E., Lobo, R. F. Zeolite and molecular sieve synthesis. Chem. Mater. 4, 756–768 (1992).
Lewis, D. W., Willock, D. J., Catlow, C. R. A., Thomas, J. M. & Hutchings, G. J. De novo design of structure-directing agents for the synthesis of microporous solids. Nature 382, 604–606 (1996).
Makse, H. A., Havlin, S., King, P. R. & Stanley, H. E. Spontaneous stratification in granular mixtures. Nature 386, 379–382 (1997).
Jaeger, H. M. & Nagel, S. R. Physics of the granular state. Science 255, 1523–1531 (1992).
Zik, O., Levine, D., Shtrikman, S. G. & Stavans, J. Rotationally induced segregation of granular materials. Phys. Rev. Lett. 73, 644–647 (1994).
Knight, J. B., Jaeger, H. M. & Nagel, S. R. Vibration-induced size separation in granular media: the convection connection. Phys. Rev. Lett. 70, 3728–3731 (1993).
Bodo, P. & Sundgren, J.-E. Titanium deposition onto ion-bombarded and plasma-treated polydimethylsiloxane: surface modification, interface, and adhesion. Thin Solid Films 136, 147–159 (1986).
Martin, G. C.et al. The metallization of silicone polymers in the rubbery and the glassy state. J. Appl. Phys. 53, 797–799 (1982).
Allen, H. G. Analysis and Design of Structural Sandwich Panels (Pergamon, New York, 1969).
Hutchinson, J. W., Thouless, M. D. & Liniger, E. G. Growth and configuration stability of circular, buckling-driven film delaminations. Acta Metall. Mater. 40, 295–308 (1992).
Kumar, A., Abbott, N. L., Kim, E., Biebuyck, H. A. & Whitesides, G. M. Patterned self-assembled monolayers and meso-scale phenomena. Acc. Chem. Res. 28, 219–226 (1995).
Xia, Y. & Whitesides, G. M. Soft Lithography. Angew. Chem. Int. Edn 37, 550–575 (1998).
Ohring, M. The Material Science of Thin Films (Academic, San Diego, 1992).
We thank D. Munn for helpful discussions. This work was supported by the NSF, the Office of Naval Research, and the Defense Advanced Research Projects Agency. N.B. thanks the Department of Defense for a predoctoral fellowship.
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Bowden, N., Brittain, S., Evans, A. et al. Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer. Nature 393, 146–149 (1998). https://doi.org/10.1038/30193
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