Geometrical structure of two-dimensional crystals with non-constant dislocation density

QR Code

Geometrical structure of two-dimensional crystals with non-constant dislocation density

We outline mathematical methods which seem to be necessary in order to discuss crystal structures with non-constant dislocation density tensor(ddt) in some generality. It is known that, if the ddt is constant (in space), then material points can be identified with elements of a certain Lie group, wi...

Full description

Bibliographic Details
Main Authors:	Parry, Gareth P., Zyskin, Maxim
Format:	Article
Published:	Springer 2016
Subjects:	Crystals Defects Lie groups
Online Access:	https://eprints.nottingham.ac.uk/35453/

Similar Items

Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure
by: Parry, Gareth P., et al.
Published: (2018)

Connection and curvature in crystals with non-constant dislocation density
by: Parry, Gareth P., et al.
Published: (2019)

On symmetries of crystals with defects related to a class of solvable groups (S2)
by: Parry, Gareth P., et al.
Published: (2012)

Discrete structures in continuum descriptions of defective crystals
by: Parry, Gareth P.
Published: (2016)

A classification of the symmetries of uniform discrete defective crystals
by: Nicks, Rachel
Published: (2014)

Reconciliation of local and global symmetries for a class of crystals with defects
by: Parry, Gareth P., et al.
Published: (2012)

Classification Of Low Dimensional Nilpotent Leibniz Algebras Using Central Extensions
by: Langari, Seyed Jalal
Published: (2010)

Central Extensions of Nilpotent Lie and Leibniz Algebras
by: Langari, Mouna Bibi
Published: (2010)

Degenerations of low-dimensional complex Liebniz algebras
by: Mohamed, Nurul Shazwani
Published: (2023)

Algebra and geometry of Gelfand-Tsetlin patterns
by: Zykov, Aleksandr
Published: (2020)

Classification of second-class 10-dimensional complex filiform Leibniz algebras
by: Mohd Kasim, Suzila
Published: (2014)

Classification Of First Class 9-Dimensional Complex Filiform Leibniz Algebras
by: Obaiys, Sozan J.
Published: (2009)

Crystallization and characterization of struvite crystals through gel growth technique
by: Salsabili, Ahmad
Published: (2017)

Dislocation-Actuated Growth and Inhibition of Hexagonal L-Cystine Crystallization at the Molecular Level
by: Shtukenberg, A., et al.
Published: (2015)

Classification of non-lie complex filiform Leibniz algebras for low dimensions
by: Said Husain, Sharifah Kartini
Published: (2011)

Classification and derivations of low-dimensional complex dialgebras
by: Basri, Witriany
Published: (2014)

Crystal Growth and Molecular Crystal Growth Modification
by: Jones, Franca, et al.
Published: (2012)

Surface morphology and crystal growth mechanism of gibbsite in industrial Bayer liquors
by: Parkinson, Gordon, et al.
Published: (2005)

Crystallographic analysis of ground- and space-grown thermostable T1 lipase crystal
by: Mohamad Aris, Sayangku Nor Ariati
Published: (2013)

Geometrical issues in the continuum mechanics of solid crystals
by: Nicks, Rachel, et al.
Published: (2014)

Thermoelectric properties of nanostructured tetrathiotetracene iodide crystals in a two-dimensional model
by: Sanduleac, Ionel, et al.
Published: (2014)

In-situ diffraction studies on the crystallization and crystal growth in anodized TiO2 nanofibres
by: Low, It-Meng, et al.
Published: (2012)

Crystallization of novel ARM lipase and elucidation of its space-grown crystal structure
by: Nisbar, Nur Dayana
Published: (2013)

Synthesis and characterization of two series of non-symmetric liquid crystal dimer containing bisazobenzene moiety
by: Salisu, Abdulsalam Abubakar, et al.
Published: (2009)

Characterization and crystallization of W200R protease
by: Muhd Noor, Noor Dina
Published: (2012)

Economic experiments on unethical behaviour
by: Michailidou, Georgia
Published: (2018)

Ab initio study of electronic structures of BaMoO4 crystals containing an interstitial oxygen atom
by: Zhao, H., et al.
Published: (2010)

A comparative study of density functional and density functional tight binding calculations of defects in graphene
by: Zobelli, A., et al.
Published: (2012)

Frequency Behavior of Quartz Crystal Microbalance In Contact With Selected Solutions
by: Baba, Zuraidah
Published: (2007)

Computer modelling of gibbsite crystallization.
by: Fleming, Sean D.
Published: (1999)

Crystallization Behavior of Palm Oil Blends and Palm Oil-Based Fluid Shortenings
by: Mat Sahri, Miskandar
Published: (2006)

Interaction between the edge dislocation dipole pair and interfacial misfit dislocation network in Ni-based single crystal superalloys
by: Zhang, Z., et al.
Published: (2021)

Beveling of quartz crystal blanks: model development
by: Dong, Chensong
Published: (2012)

Behaviour of the extended Volterra lattice
by: Pickering, Andrew, et al.
Published: (2013)

Complicity without connection or communication
by: Barr, Abigail, et al.
Published: (2017)

The application of in situ AFM to the study of molecular and macromolecular crystallization
by: Keel, Trevor
Published: (2004)

Resonance Frequency Response of Quartz Crystal Microbalance with Different Metal Electrodes in Saccharide Solutions
by: Abdul Aziz, Siti Salmiwati
Published: (2008)

Density functional study for structural, electronic, magnetic and chemical bonding properties of geometrically-frustrated CdCr₂O₄
by: Bolandhemat, Najmeh
Published: (2017)

Effect of film thickness on hysteresis of narrowband thermochromic liquid crystal
by: Mohd Zulkeple, Muhammad Fitri
Published: (2020)

Kinetic and Crystallization Behaviour of Palm Oil, Palm Kernel Oil and Their Lipase-Catalyzed Interestified Blends Using Viscometry
by: Chen, Chit Way
Published: (2004)