(1) Buda, A. B.; Mislow, K. A Hausdorff Chirality Measure. J. Am. Chem. Soc. 1992, 114 (15), 6006–6012. https://doi.org/10.1021/ja00041a016.
(2) Osipov, M. A.; Pickup, B. T.; Dunmur, D. A. A New Twist to Molecular Chirality: Intrinsic Chirality Indices. Molec. Phys. 1995, 84 (August), 1193–1206. https://doi.org/10.1080/00268979500100831.
(3) Zabrodsky, H.; Avnir, D. Continuous Symmetry Measures. 4. Chirality. J. Am. Chem. Soc. 1995, 117 (1), 462–473. https://doi.org/10.1021/ja00106a053.
(4) Rassat, A.; Fowler, P. W. Is There a “Most Chiral Tetrahedron”? Chem. - A Eur. J. 2004, 10 (24), 6575–6580. https://doi.org/10.1002/chem.200400869.
(5) Harris, A. B.; Kamien, R. D.; Lubensky, T. C. Molecular Chirality and Chiral Parameters. Rev. Mod. Phys. 1999, 71 (5), 1745–1757. https://doi.org/10.1103/RevModPhys.71.1745.
(6) Xia, Y.; Nguyen, T. D. T. D.; Yang, M.; Lee, B.; Santos, A.; Podsiadlo, P.; Tang, Z.; Glotzer, S. C.; Kotov, N. A. Self-Assembly of Self-Limiting Monodisperse Supraparticles from Polydisperse Nanoparticles. Nat. Nanotechnol. 2011, 6 (9), 580–587. https://doi.org/10.1038/nnano.2011.121.
(7) Choi, W.; Cheng, G.; Huang, Z.; Zhang, S.; Norris, T.; Kotov, N. A. Chiroptical Kirigami Modulators for Terahertz Circular Dichroism Spectroscopy of Biomaterials. Nat. Mater. 2019, 18, 820–826.
(8) Nguyen, M.-K.; Kuzyk, A. Reconfigurable Chiral Plasmonics beyond Single Chiral Centers. ACS Nano 2019, 13 (12), 13615–13619. https://doi.org/10.1021/acsnano.9b09179.
(9) Dey, S.; Fan, C.; Gothelf, K. V; Li, J.; Lin, C.; Liu, L.; Liu, N.; Nijenhuis, M. A. D.; Saccà, B.; Simmel, F. C.; Yan, H.; Zhan, P. DNA Origami. Nat. Rev. Methods Prim. 2021, 1 (1), 13. https://doi.org/10.1038/s43586-020-00009-8.
(10) Probst, P. T.; Mayer, M.; Gupta, V.; Steiner, A. M.; Zhou, Z.; Auernhammer, G. K.; König, T. A. F.; Fery, A. Mechano-Tunable Chiral Metasurfaces via Colloidal Assembly. Nat. Mater. 2021, 20, 1024–1028.
(11) Kim, Y.; Yeom, B.; Arteaga, O.; Yoo, S. J.; Lee, S.-G.; Kim, J.-G.; Kotov, N. A. Reconfigurable Chiroptical Nanocomposites with Chirality Transfer from the Macro- to the Nanoscale. Nat. Mater. 2016, 15 (4). https://doi.org/10.1038/nmat4525.
(12) Miyajima, D.; Tashiro, K.; Araoka, F.; Takezoe, H.; Kim, J.; Kato, K.; Takata, M.; Aida, T. Liquid Crystalline Corannulene Responsive to Electric Field. J. Am. Chem. Soc. 2009, 131 (1), 44–45. https://doi.org/10.1021/ja808396b.
(13) Ohta, E.; Sato, H.; Ando, S.; Kosaka, A.; Fukushima, T.; Hashizume, D.; Yamasaki, M.; Hasegawa, K.; Muraoka, A.; Ushiyama, H.; Yamashita, K.; Aida, T. Redox-Responsive Molecular Helices with Highly Condensed π-Clouds. Nat. Chem. 2011, 3 (1), 68–73. https://doi.org/10.1038/nchem.900.
(14) Ma, W.; Kuang, H.; Wang, L.; Xu, L.; Chang, W.-S.; Zhang, H.; Sun, M.; Zhu, Y.; Zhao, Y.; Liu, L.; Xu, C.; Link, S.; Kotov, N. A. Chiral Plasmonics of Self-Assembled Nanorod Dimers. Sci. Rep. 2013, 3, 1934. https://doi.org/10.1038/srep01934.
(15) Yashima, E.; Ousaka, N.; Taura, D.; Shimomura, K.; Ikai, T.; Maeda, K. Supramolecular Helical Systems: Helical Assemblies of Small Molecules, Foldamers, and Polymers with Chiral Amplification and Their Functions. Chem. Rev. 2016, 116 (22), 13752–13990. https://doi.org/10.1021/acs.chemrev.6b00354.
(16) Lee, H. E.; Ahn, H. Y.; Mun, J.; Lee, Y. Y.; Kim, M.; Cho, N. H.; Chang, K.; Kim, W. S.; Rho, J.; Nam, K. T. Amino-Acid- and Peptide-Directed Synthesis of Chiral Plasmonic Gold Nanoparticles. Nature 2018, 556 (7701), 360–364. https://doi.org/10.1038/s41586-018-0034-1.
(17) Jiang, W.; Qu, Z.; Kumar, P.; Vecchio, D.; Wang, Y.; Ma, Y.; Bahng, J. H.; Bernardino, K.; Gomes, W. R.; Colombari, F. M.; Lozada-Blanco, A.; Veksler, M.; Marino, E.; Simon, A.; Murray, C.; Muniz, S. R.; Moura, A. F. de; Kotov, N. A. Emergence of Complexity in Hierarchically Organized Chiral Particles. Science (80-. ). 2020, 368 (6491), 642–648. https://doi.org/DOI: 10.1126/science.aaz7949.
(18) Medina, D. D.; Mastai, Y. Chiral Polymers and Polymeric Particles for Enantioselective Crystallization. Isr. J. Chem. 2018, 58 (12), 1330–1337. https://doi.org/https://doi.org/10.1002/ijch.201800174.
(19) Gingras, M. One Hundred Years of Helicene Chemistry. Part 3: Applications and Properties of Carbohelicenes. Chem. Soc. Rev. 2013, 42 (3), 1051–1095. https://doi.org/10.1039/C2CS35134J.
(20) Ma, W.; Xu, L.; de Moura, A. F.; Wu, X.; Kuang, H.; Xu, C.; Kotov, N. A. Chiral Inorganic Nanostructures. Chem. Rev. 2017, 117 (12), 8041–8093. https://doi.org/10.1021/acs.chemrev.6b00755.
(21) Aida, T.; Meijer, E. W.; Stupp, S. I. Functional Supramolecular Polymers. Science (80-. ). 2012, 335 (6070), 813–817.
(22) Ho, R.-M.; Chiang, Y.-W.; Chen, C.-K.; Wang, H.-W.; Hasegawa, H.; Akasaka, S.; Thomas, E. L.; Burger, C.; Hsiao, B. S. Block Copolymers with a Twist. J. Am. Chem. Soc. 2009, 131 (51), 18533–18542. https://doi.org/10.1021/ja9083804.
(23) Wang, H.-F.; Yang, K.-C.; Hsu, W.-C.; Lee, J.-Y.; Hsu, J.-T.; Grason, G. M.; Thomas, E. L.; Tsai, J.-C.; Ho, R.-M. Generalizing the Effects of Chirality on Block Copolymer Assembly. Proc. Natl. Acad. Sci. 2019, 116 (10), 4080 LP – 4089. https://doi.org/10.1073/pnas.1812356116.
(24) Ido, S.; Kimura, K.; Oyabu, N.; Kobayashi, K.; Tsukada, M.; Matsushige, K.; Yamada, H. Beyond the Helix Pitch: Direct Visualization of Native DNA in Aqueous Solution. ACS Nano 2013, 7 (2), 1817–1822. https://doi.org/10.1021/nn400071n.
(25) Petitjean, M. Chirality and Symmetry Measures: A Transdisciplinary Review. Entropy. Molecular Diversity Preservation International July 3, 2003, pp 271–312. https://doi.org/10.3390/e5030271.
(26) Buda, A. B.; der Heyde, T. A.; Mislow, K. On Quantifying Chirality. Angew. Chemie Int. Ed. English 1992, 31 (8), 989–1007. https://doi.org/10.1002/anie.199209891.
(27) Tang, Z.; Zhang, Z.; Wang, Y.; Glotzer, S. C.; Kotov, N. A. Self-Assembly of CdTe Nanocrystals into Free-Floating Sheets. Science (80-. ). 2006, 314 (5797), 274–278. https://doi.org/10.1126/science.1128045.
(28) Gao, C.; Kewalramani, S.; Valencia, D. M.; Li, H.; McCourt, J. M.; Olvera de la Cruz, M.; Bedzyk, M. J. Electrostatic Shape Control of a Charged Molecular Membrane from Ribbon to Scroll. Proc. Natl. Acad. Sci. 2019, 116 (44), 22030–22036. https://doi.org/10.1073/pnas.1913632116.
(29) M., M. J.; Chaitanya, J.; Prerna, S.; Arvind, B.; Aparna, B.; M., G. G.; F., H. M.; Zvonimir, D. Conformational Switching of Chiral Colloidal Rafts Regulates Raft–Raft Attractions and Repulsions. Proc. Natl. Acad. Sci. 2019, 116 (32), 15792–15801. https://doi.org/10.1073/pnas.1900615116.
(30) Choi, W. J.; Yano, K.; Cha, M.; Colombari, F. M.; Kim, J.-Y.; Wang, Y.; Lee, S. H.; Sun, K.; Kruger, J. M.; de Moura, A. F.; Kotov, N. A. Chiral Phonons in Microcrystals and Nanofibrils of Biomolecules. Nat. Photonics 2022. https://doi.org/10.1038/s41566-022-00969-1.
(31) Nguyen, T. D.; Schultz, B. A.; Kotov, N. A.; Glotzer, S. C. Generic, Phenomenological, on-the-Fly Renormalized Repulsion Model for Self-Limited Organization of Terminal Supraparticle Assemblies. Proc. Natl. Acad. Sci. U. S. A. 2015, 112 (25). https://doi.org/10.1073/pnas.1509239112.
(32) Millar, G.; Weinberg, N.; Mislow, K. On the Osipov–Pickup–Dunmur Chirality Index: Why Pseudoscalar Functions Are Generally Unsuitable to Quantify Chirality. Mol. Phys. 2005, 103 (20), 2769–2772. https://doi.org/10.1080/00268970500217196.
(33) Pelayo, J. J.; Whetten, R. L.; Garzón, I. L. Geometric Quantification of Chirality in Ligand-Protected Metal Clusters. J. Phys. Chem. C 2015, 119 (51), 28666–28678. https://doi.org/10.1021/acs.jpcc.5b10235.
(34) Levin, B. D. A.; Jiang, Y.; Padgett, E.; Waldon, S.; Quammen, C.; Harris, C.; Ayachit, U.; Hanwell, M.; Ercius, P.; Muller, D. A.; Hovden, R. Tutorial on the Visualization of Volumetric Data Using Tomviz. Micros. Today 2018, 26 (1), 12–17. https://doi.org/DOI: 10.1017/S1551929517001213.
(35) Shaw, L. A.; Chizari, S.; Shusteff, M.; Naghsh-Nilchi, H.; Di Carlo, D.; Hopkins, J. B. Scanning Two-Photon Continuous Flow Lithography for Synthesis of High-Resolution 3D Microparticles: Erratum. Opt. Express 2018, 26 (11), 14718. https://doi.org/10.1364/oe.26.014718.
(36) Chang, Y.-H.; Jang, J.-W.; Chang, Y.-C.; Lee, S.-H.; Siao, T.-F. Gold Nanohelices: A New Synthesis Route, Characterization, and Plasmonic E-Field Enhancement. ACS Omega 2020, 5 (25), 14860–14867. https://doi.org/10.1021/acsomega.9b02586.
(37) Kaschke, J.; Wegener, M. Gold Triple-Helix Mid-Infrared Metamaterial by STED-Inspired Laser Lithography. Opt. Lett. 2015, 40 (17), 3986. https://doi.org/10.1364/ol.40.003986.
(38) Yan, J.; Feng, W.; Kim, J.-Y.; Lu, J.; Kumar, P.; Mu, Z.; Wu, X.; Mao, X.; Kotov, N. A. Self-Assembly of Chiral Nanoparticles into Semiconductor Helices with Tunable near-Infrared Optical Activity. Chem. Mater. 2020, 32 (1), 476–488. https://doi.org/10.1021/acs.chemmater.9b04143.