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Geometry, topology, and liquid crystals: The materials applications

Published on Jul 16, 20191030 Views

“Geometry is perhaps the most elementary of the sciences”. Geometry is concerned with the properties of configurations of points, lines, and circles, and topology is concerned with space, dimension, a

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Chapter list

Geometry, Topology, and Liquid Crystals: their Materials Applications00:00
Geometry01:07
Topology01:40
Embedding Intelligence: Materials with Intrinsic Anisotropy02:11
The Fourth Phase of Matter: Liquid Crystals (LCs)04:00
Liquid Crystals Are Everywhere in Our Life05:29
Anisotropy and Alignment05:54
Topological Defects07:02
Elastic Deformation of LCs on Surface07:23
Topological Defects Formed on Geometric Surfaces - 108:04
Topological Defects Formed On Geometric Surfaces - 209:13
Adaptive and Foldable Soft Materials19:16
Nematic to Isotropic Transition21:03
Blueprint Desired Shape Transformation22:05
Topological Equivalence: Materials Could Appear in Different Forms22:37
Patterning Topological Defects in NLCEs via Photoalignment23:26
Sample Preparation Procedure24:37
Confining LCs within Micromolded 1D Channels25:39
Programmed Actuation in Liquid Crystal Elastomers26:19
Gaussian Curvature and Mean Curvature27:11
Curvature and Strength 28:08
Growth, Geometry, and Mechanics of a Blooming Lily28:34
Reverse Design of an Arbitrary 3D Shape29:15
Search for Director Field Coordinates31:18
A Local/Global Approach to Mesh Parameterization31:36
Tissot Indicatrix World Map Projection - 132:05
Tissot Indicatrix World Map Projection - 232:20
Reserve Engineering of General Shapes32:31
Two-step Polymerization via Click Chemistry32:53
Spatial Alignment of LCs33:34
Achieving Simple Gaussian Curvatures33:46
Combination of Gaussian Curvatures34:16
Geometry is Scale Invariant44:38
Human-Technology Interface44:54
Smart Garments45:20
Geometry is Materials Independent48:18
MXenes: A Promising New Type of 2D Nanomaterials48:46
How to Vertically Align Atomically Thin MXene up to 100 μm Thick?49:16
How Do We Stack Papers?49:28
How About Stacking Books?49:47
Discotic Liquid Crystal Phases50:02
Vertical Alignment of MXene LLCs50:28
Thickness-independent Capacitance of Vertically Aligned Liquid-Crystalline MXenes50:46
Geometry and Liquid Crystals50:59