PT - JOURNAL ARTICLE AU - Geng, Yina AU - van Anders, Greg AU - Dodd, Paul M. AU - Dshemuchadse, Julia AU - Glotzer, Sharon C. TI - Engineering entropy for the inverse design of colloidal crystals from hard shapes AID - 10.1126/sciadv.aaw0514 DP - 2019 Jul 01 TA - Science Advances PG - eaaw0514 VI - 5 IP - 7 4099 - http://advances.sciencemag.org/content/5/7/eaaw0514.short 4100 - http://advances.sciencemag.org/content/5/7/eaaw0514.full SO - Sci Adv2019 Jul 01; 5 AB - Throughout the physical sciences, entropy stands out as a pivotal but enigmatic concept that, in materials design, typically takes a backseat to energy. Here, we demonstrate how to precisely engineer entropy to achieve desired colloidal crystals via particle shapes that, importantly, can be made in the laboratory. We demonstrate the inverse design of symmetric hard particles that assemble six different target colloidal crystals due solely to entropy maximization. Our approach efficiently samples 108 particle shapes from 92- and 188-dimensional design spaces to discover thermodynamically optimal shapes. We design particle shapes that self-assemble into known crystals with optimized symmetry and thermodynamic stability, as well as new crystal structures with no known atomic or other equivalent.