scholarly journals Three-dimensional crystals of adaptive knots

Science ◽  
2019 ◽  
Vol 365 (6460) ◽  
pp. 1449-1453 ◽  
Author(s):  
Jung-Shen B. Tai ◽  
Ivan I. Smalyukh

Starting with Gauss and Kelvin, knots in fields were postulated to behave like particles, but experimentally they were found only as transient features or required complex boundary conditions to exist and could not self-assemble into three-dimensional crystals. We introduce energetically stable, micrometer-sized knots in helical fields of chiral liquid crystals. While spatially localized and freely diffusing in all directions, they resemble colloidal particles and atoms, self-assembling into crystalline lattices with open and closed structures. These knots are robust and topologically distinct from the host medium, though they can be morphed and reconfigured by weak stimuli under conditions such as those in displays. A combination of energy-minimizing numerical modeling and optical imaging uncovers the internal structure and topology of individual helical field knots and the various hierarchical crystalline organizations that they form.

Soft Matter ◽  
2015 ◽  
Vol 11 (17) ◽  
pp. 3304-3312 ◽  
Author(s):  
Anne C. Pawsey ◽  
Paul S. Clegg

Colloids dispersed in highly chiral liquid crystals are observed to promote faceted inclusions within the cholesteric blue phase.


2019 ◽  
Author(s):  
Tetiana Orlova ◽  
Rémi Plamont ◽  
Alexis Depauw ◽  
Nathalie Katsonis

Nanoparticles tend to aggregate in an uncontrollable fashion once integrated into soft matter and consequently, self-assembling nanoparticles into large-scale, regular, well-defined patterns remains an ongoing challenge towards the design and realization of smart hybrid materials. The patterns of nanoparticles that have been reported in liquid crystals are static so far, and this lack of responsiveness extends to assemblies of nanoparticles formed in topological singularities and other localized structures of anisotropic matter. Here, we demonstrate the realization of light-responsive spirals of gold nanoparticles, by using a templating strategy that is common in the biological world. Specifically, we use polygonal fields of liquid crystals that incorporate molecular photo-switches in their composition, as light-responsive chiral templates. We also show that light modifies the period of the dynamic spirals of nanoparticles. These results confirm that using chiral liquid crystals as dynamic templates constitutes a versatile strategy towards soft photonic nanomaterials, and we anticipate that the possibility to control the period of the nanoparticulated pattern can find potential applications in the field of plasmonic sensing. <br>


2019 ◽  
Author(s):  
Tetiana Orlova ◽  
Rémi Plamont ◽  
Alexis Depauw ◽  
Nathalie Katsonis

Nanoparticles tend to aggregate in an uncontrollable fashion once integrated into soft matter and consequently, self-assembling nanoparticles into large-scale, regular, well-defined patterns remains an ongoing challenge towards the design and realization of smart hybrid materials. The patterns of nanoparticles that have been reported in liquid crystals are static so far, and this lack of responsiveness extends to assemblies of nanoparticles formed in topological singularities and other localized structures of anisotropic matter. Here, we demonstrate the realization of light-responsive spirals of gold nanoparticles, by using a templating strategy that is common in the biological world. Specifically, we use polygonal fields of liquid crystals that incorporate molecular photo-switches in their composition, as light-responsive chiral templates. We also show that light modifies the period of the dynamic spirals of nanoparticles. These results confirm that using chiral liquid crystals as dynamic templates constitutes a versatile strategy towards soft photonic nanomaterials, and we anticipate that the possibility to control the period of the nanoparticulated pattern can find potential applications in the field of plasmonic sensing. <br>


2021 ◽  
Vol 331 ◽  
pp. 115723
Author(s):  
Ewelina Dmochowska ◽  
Jakub Herman ◽  
Michał Czerwiński ◽  
Sergei Stulov ◽  
Alexej Bubnov ◽  
...  

Algorithms ◽  
2021 ◽  
Vol 14 (3) ◽  
pp. 72
Author(s):  
Luca Tonti ◽  
Alessandro Patti

Collision between rigid three-dimensional objects is a very common modelling problem in a wide spectrum of scientific disciplines, including Computer Science and Physics. It spans from realistic animation of polyhedral shapes for computer vision to the description of thermodynamic and dynamic properties in simple and complex fluids. For instance, colloidal particles of especially exotic shapes are commonly modelled as hard-core objects, whose collision test is key to correctly determine their phase and aggregation behaviour. In this work, we propose the Oriented Cuboid Sphere Intersection (OCSI) algorithm to detect collisions between prolate or oblate cuboids and spheres. We investigate OCSI’s performance by bench-marking it against a number of algorithms commonly employed in computer graphics and colloidal science: Quick Rejection First (QRI), Quick Rejection Intertwined (QRF) and a vectorized version of the OBB-sphere collision detection algorithm that explicitly uses SIMD Streaming Extension (SSE) intrinsics, here referred to as SSE-intr. We observed that QRI and QRF significantly depend on the specific cuboid anisotropy and sphere radius, while SSE-intr and OCSI maintain their speed independently of the objects’ geometry. While OCSI and SSE-intr, both based on SIMD parallelization, show excellent and very similar performance, the former provides a more accessible coding and user-friendly implementation as it exploits OpenMP directives for automatic vectorization.


1990 ◽  
Vol 2 (2) ◽  
pp. 147-149 ◽  
Author(s):  
N.K. Shankar ◽  
J.A. Morris ◽  
C.P. Yakymyshyn ◽  
C.R. Pollock

Author(s):  
Lianjie Li ◽  
Jianxin Li ◽  
Haibo Xie ◽  
Hongqiang Liu ◽  
Li Sun ◽  
...  

Crystals ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 678
Author(s):  
Yuqi Han ◽  
Yan Jiang ◽  
Wei Guo ◽  
Bing Li ◽  
Lu Zhang ◽  
...  

Based on the anchoring effect due to the self-assembling behavior of the phospholipid molecules at the interface between the liquid crystal and water phases on the orientation of liquid crystals, the optical response associated with the orientation and structure of liquid crystals with respect to the concentration of 1,2-didodecanoyl-sn-glycero-3-phosphocholine solution has been investigated. The optical response owing to changes in the orientation and structure of the mixed cholesteric liquid crystals with respect to the change in the concentration of phosphatidylcholine has been obtained. Moreover, the feasibility of using as-prepared mixed cholesteric liquid crystals to measure the phosphatidylcholine concentration has been verified. A methodology to measure the reflectance spectrum by using mixed cholesteric liquid crystals to sensitize the phosphatidylcholine concentration has been further realized. The sensitization effect of the mixed cholesteric liquid crystals on the measurement of phosphatidylcholine concentration was also verified.


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