English

Geometric deformations of sodalite frameworks

Metric Geometry 2016-06-20 v1
Authors: Ciprian S. Borcea , Ileana Streinu
View on arXiv ↗ PDF ↗

Abstract

In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We study combinatorial, geometric and kinematic properties for frameworks modeled on sodalite.

Cite

@article{arxiv.1606.05453,
  title  = {Geometric deformations of sodalite frameworks},
  author = {Ciprian S. Borcea and Ileana Streinu},
  journal= {arXiv preprint arXiv:1606.05453},
  year   = {2016}
}

Related papers

View all related →
Metric Geometry · Mathematics
Deformations of crystal frameworks
Ciprian S. Borcea, Ileana Streinu
2011-10-24
Metric Geometry · Mathematics
Deforming Diamond
Ciprian S. Borcea, Ileana Streinu
2015-01-16
Metric Geometry · Mathematics
Frameworks with crystallographic symmetry
Ciprian S. Borcea, Ileana Streinu
2011-10-24
Geometric Topology · Mathematics
Generic rigidity of frameworks with orientation-preserving crystallographic symmetry
Justin Malestein, Louis Theran
2015-03-19
Materials Science · Physics
Geometrical modeling of dendritic structures
Alexander S. Prokhoda
2018-10-05
Metric Geometry · Mathematics
Rigidity of frameworks on expanding spheres
Anthony Nixon, Bernd Schulze, Shin-ichi Tanigawa, Walter Whiteley
2017-02-14
Materials Science · Physics
Point Group Symmetry and Deformation Induced Symmetry Breaking of Superlattice Materials
Pu Zhang, Albert C. To
2016-02-17
Combinatorics · Mathematics
Crystal frameworks, symmetry and affinely periodic flexes
Stephen Power
2014-07-15
Differential Geometry · Mathematics
Geometric properties near singular points of surfaces given by certain representation formulae
Yoshiki Matsushita, Takuya Nakashima, Keisuke Teramoto
2020-03-25
Materials Science · Physics
Computational characterization and prediction of metal-organic framework properties
François-Xavier Coudert, Alain H. Fuchs
2016-02-02
Soft Condensed Matter · Physics
On the crystallization Kinetics in Natural Rubber
Rabia Laghmach, Nicolas Candau, Laurent Chazeau, Thierry Biben
2022-01-26
Mathematical Physics · Physics
Geometric and deformation quantization
Christoph Nölle
2009-07-06
Metric Geometry · Mathematics
Frameworks with forced symmetry I: Reflections and rotations
Justin Malestein, Louis Theran
2015-03-17
Soft Condensed Matter · Physics
Elasticity in crystals with high density of local defects : insights from ultra-soft colloids
Saswati Ganguly, Gaurav Prakash Shrivastav, Shang-Chun Lin, Johannes Häring +4
2022-02-23
Mesoscale and Nanoscale Physics · Physics
Quantitative Chemistry and the Discrete Geometry of Conformal Atom-Thin Crystals
Alejandro A. Pacheco Sanjuan, Mehrshad Mehboudi, Edmund O. Harriss, Humberto Terrones +1
2014-02-27
Mathematical Physics · Physics
On Some Models in Linear Thermo-Elasticity with Rational Material Laws
Santwana Mukhopadhyay, Rainer Picard, Sascha Trostorff, Marcus Waurick
2016-10-27
Soft Condensed Matter · Physics
Geometric charges and nonlinear elasticity of soft metamaterials
Yohai Bar-Sinai, Gabriele Librandi, Katia Bertoldi, Michael Moshe
2022-06-08
Materials Science · Physics
Interplay between Defects, Disorder and Flexibility in Metal-Organic Frameworks
Thomas D. Bennett, Anthony K. Cheetham, Alain H. Fuchs, François-Xavier Coudert
2019-04-23
Materials Science · Physics
Machine learning approaches for feature engineering of the crystal structure: Application to the prediction of the formation energy of cubic compounds
Prathik R. Kaundinya, Kamal Choudhary, Surya R. Kalidindi
2021-05-25
Materials Science · Physics
Hybrid Perovskites, Metal--Organic Frameworks, and Beyond: Unconventional Degrees of Freedom in Molecular Frameworks
Hanna L. B. Boström, Andrew L. Goodwin
2020-11-30
Statistical Mechanics · Physics
The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
Srikanth Sastry
2009-10-31
Soft Condensed Matter · Physics
Liquid droplet morphology on the fiber of a fog harvester mesh and the droplet detachment conditions under gravity
Arani Mukhopadhyay, Partha Sarathi Dutta, Amitava Datta, Ranjan Ganguly
2024-08-26
Combinatorics · Mathematics
Structural rigidity and flexibility using graphs of groups
Joannes Vermant, Klara Stokes
2024-08-28
Mathematical Physics · Physics
Material geometry of binary composites
Marcelo Epstein
2021-05-04
Mathematical Physics · Physics
Shape Evolution of Fluid Deformable Surfaces under Active Geometric Forces
Maik Porrmann, Axel Voigt
2024-08-20
R2 v1 2026-06-22T14:27:45.029Z