期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 111, 期 45, 页码 15918-15923出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1411765111
关键词
assembly; DNA-coated particles; local minima; short-ranged interactions
资金
- George F. Carrier Fellowship
- National Science Foundation through the Harvard Materials Research Science and Engineering Center [DMR-0820484]
- Division of Mathematical Sciences [DMS-0907985]
- Foundational Questions in Evolutionary Biology Fund [RFP-12-04]
- Alfred P. Sloan research fellowship
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1411694] Funding Source: National Science Foundation
We establish size limitations for assembling structures of controlled size and shape out of colloidal particles with short-ranged interactions. Through simulations we show that structures with highly variable shapes made out of dozens of particles can form with high yield, as long as each particle in the structure binds only to the particles in their local environment. To understand this, we identify the excited states that compete with the ground-state structure and demonstrate that these excited states have a completely topological characterization, valid when the interparticle interactions are short-ranged. This allows complete enumeration of the energy landscape and gives bounds on how large a colloidal structure can assemble with high yield. For large structures the yield can be significant, even with hundreds of particles.
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