Triangular and Fibonacci Number Patterns Driven by Stress on Core/Shell Microstructures
Authors:
- 5 August 2005
- journal article
- research article
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 309 (5736) , 909-911
Abstract
Fibonacci number patterns and triangular patterns with intrinsic defects occur frequently on nonplanar surfaces in nature, particularly in plants. By controlling the geometry and the stress upon cooling, these patterns can be reproduced on the surface of microstructures about 10 micrometers in diameter. Spherules of the Ag core/SiO x shell structure, possessing markedly uniform size and shape, self-assembled into the Fibonacci number patterns (5 by 8 and 13 by 21) or the triangular pattern, depending on the geometry of the primary supporting surface. Under proper geometrical constraints, the patterns developed through self-assembly in order to minimize the total strain energy. This demonstrates that highly ordered microstructures can be prepared simultaneously across large areas by stress engineering.Keywords
This publication has 13 references indexed in Scilit:
- Self-Assembled Hexa- peri -hexabenzocoronene Graphitic NanotubeScience, 2004
- Strain-controlled growth of nanowires within thin-film cracksNature Materials, 2004
- Formation of Hollow Nanocrystals Through the Nanoscale Kirkendall EffectScience, 2004
- Self-assembled hexagonal Au particle networks on silicon from Au nanoparticle solutionApplied Physics Letters, 2004
- A family of herringbone patterns in thin filmsScripta Materialia, 2004
- One-dimensional growth induced by thermal stressMaterials Letters, 2004
- Crystalline Order on a Sphere and the Generalized Thomson ProblemPhysical Review Letters, 2002
- Strain-engineered self-assembled semiconductor quantum dot latticesApplied Physics Letters, 2001
- Spontaneous Ordering of Oxide NanostructuresScience, 2000
- Possible Global Minimum Lattice Configurations for Thomson's Problem of Charges on a SpherePhysical Review Letters, 1997