Pyrochlore lattice, self-assembly and photonic band gap optimizations

Ducrot, Étienne; Gales, Johnathon; Yi, Gi‐Ra; Pine, David

doi:10.1364/oe.26.030052

Cited by 17 publications

(27 citation statements)

References 27 publications

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“…This demonstrates the sensitivity of the self‐assembly behavior with respect to changes in interaction strength, or equivalently changes in temperature. Similar trends have been observed in previous studies of simple spherically symmetric particles …”

Section: Resultssupporting

confidence: 91%

“…Overall, the interparticle interaction range will affect the photonic spectrum and the size of the bandgaps by essentially altering feasible particle sizes for the self‐assembly process and by changing the gaps between particle cores. The interaction range changes the possibility of the formation of the superstructure for different combination of particle sizes, which means the resulting structures will have different particle size ratios depending on the design of short‐ or long‐range interactions. This could lead to different photonic properties.…”

Section: Resultsmentioning

confidence: 99%

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Superstructures of Multielement Colloidal Molecules: Efficient Pathways to Construct Reconfigurable Photonic and Phononic Crystals

Aryana

Stahley

Parvez

et al. 2019

Advcd Theory and Sims

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Motivated by recent advances in synthesis and characterization of complex colloidal building blocks, the self-assembly behavior and transport properties of novel superstructures of multielement colloidal molecules are explored with applications in areas such as phononics, photonics, and photovoltaics. Using an analytical/computational framework, the connectivity landscape of various shapes of colloidal molecules is examined to propose new multicomponent superstructure phases that can self-assemble from binary mixtures of these building blocks. The identified superstructures are then investigated in terms of their tunable photonic/phononic properties. The dependence of photonic bandgaps on various features of the superstructures such as building block size and shape is studied. Each superstructure is composed of at least four different types of elements, which provides a desirable framework to obtain reconfigurable metamaterials. The calculations show that a binary superstructure of tetrahedral units can result in photonic bandgaps with sizes as large as 27% for material compositions with dielectric constant difference of 15. The new superstructures formed by colloidal molecules expand the existing self-assembly paradigms for colloidal particles. This paper also promotes future experimental and theoretical work for discovering more complex colloidal phases with a higher number of degrees of freedom to be utilized for engineering desired functional materials.

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Section: Resultssupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

Superstructures of Multielement Colloidal Molecules: Efficient Pathways to Construct Reconfigurable Photonic and Phononic Crystals

Aryana

Stahley

Parvez

et al. 2019

Advcd Theory and Sims

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show abstract

“…As summarized in Figure 8, our DNA origamiroute for direct rod-connected diamond lattices allows achievement of relatively high δ with relatively low f compared with other self-assembled diamond lattices that have been theoretically suggested thus far (i.e., direct and indirect pyrochlore and diamond lattices). [22][23][24] The power of 3D DNA origami photonic crystals lies in that this material can self-assemble into the nearly arbitrarily shaped, nanoscale building blocks. Using the design outlined in this work as a starting point, the 3D crystallization of DNA origami can greatly expand the accessible range of the photonic crystal lattices, which in turn enriches the engineering of PBGs in the visible regime.…”

Section: Figure 6cmentioning

confidence: 99%

“…Asterisks in Figure 8 (*) corresponding to the f are the values abstracted from structural information the literature. [22][23][24]…”

Section: Supporting Informationmentioning

confidence: 99%

“…Indeed, previous reports exist only for experimental realizations of direct rod-connected diamond lattices that operate from the IR to microwave regimes. 19,20 Even though the pyrochlore lattice was recently probed as a versatile-to-craft diamond visible photonic crystal by molecularly programmed selfassembly of colloidal spheres, [21][22][23][24] the current theoretically exploited maximum δ is relatively small (e.g., ~ 0.20). [22][23][24] These limitations on self-assembly originate from the restricted libraries of building blocks in conjunction with the relevant assembly techniques.…”

mentioning

confidence: 99%

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Design of DNA Origami Diamond Photonic Crystals

Park

Hur

et al. 2019

Preprint

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Self-assembled photonic crystals have proven to be a fascinating class of photonic materials for non-absorbing structural colorizations over large areas and in diverse relevant applications, including tools for on-chip spectrometers and biosensors, platforms for reflective displays, and templates for energy devices. The most prevalent building blocks for the selfassembly of photonic crystals are spherical colloids and block copolymers (BCPs) due to the generic appeal of these materials, which can be crafted into large-area 3D lattices. However, due to the intrinsic limitations of these structures, these two building blocks are difficult to assemble into a direct rod-connected diamond lattice, which is considered to be a champion photonic crystal. Here, we present a DNA origami-route for a direct rod-connected diamond photonic crystal exhibiting a complete photonic bandgap (PBG) in the visible regime. Using a combination of electromagnetic, phononic, and mechanical numerical analyses, we identify (i) the structural constraints of the 50 megadalton-scale giant DNA origami building blocks that could self-assemble into a direct rod-connected diamond lattice with high accuracy, and (ii) the elastic moduli that are essentials for maintaining lattice integrity in a buffer solution. A solution molding process could enable the transformation of the as-assembled DNA origami lattice into a porous silicon-or germanium-coated composite crystal with enhanced refractive index contrast, in that a champion relative bandwidth for the photonic bandgap (i.e., 0.29) could become possible even for a relatively low volume fraction (i.e., 16 vol%).Main manuscript: Since the pioneering works of E. Yablonovitch 1 and S. John in 1987 2 , photonic crystals have transformed various fields including lasers, optomechanics, optoelectronics, and structural colorizations. [3][4][5][6][7][8][9][10][11][12][13][14][15] According to on-demand applications,

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Programmed Self‐Assembly of Single Colloidal Gyroids for Chiral Photonic Crystals

et al. 2023

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Gyroid structures are of extensive interest because they provide a rich platform for chiroptics as well as topological photonics. While the double‐gyroid morphology as a bicontinuous structure is not uncommon in self‐assembled soft materials, direct self‐assembly of single‐network gyroids has proven elusive. Here, an enantiomorphic pair of single‐gyroid crystals comprising colloidal spheres is presented, and two distinct routes are demonstrated for programmed self‐assembly of each single colloidal gyroid enantiomorph from rationally designed patchy spheres. The designer colloidal patchy spheres, which closely hew to their synthetic feasibility, are chiral, having either two staggered rectangular patches at opposite poles or four circular patches arranged in a well‐defined geometry. The single colloidal gyroid, as well as its inverse structure, is shown to support a wide complete photonic bandgap in addition to exhibiting rich chiroptical properties, making them attractive chiral photonic crystals. The versatility of this single colloidal gyroid, the bottom‐up routes devised here in silico, and the robustness of the design space for the chiral colloidal patchy spheres together make a strong case for single colloidal gyroids to supersede colloidal diamond, as a target for programmed self‐assembly, in the quest for photonic crystals operating at optical frequencies.

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Pyrochlore lattice, self-assembly and photonic band gap optimizations

Cited by 17 publications

References 27 publications

Superstructures of Multielement Colloidal Molecules: Efficient Pathways to Construct Reconfigurable Photonic and Phononic Crystals

Superstructures of Multielement Colloidal Molecules: Efficient Pathways to Construct Reconfigurable Photonic and Phononic Crystals

Design of DNA Origami Diamond Photonic Crystals

Programmed Self‐Assembly of Single Colloidal Gyroids for Chiral Photonic Crystals

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