Abstract
This paper considers the issues of building a model of the cluster organization of Al2O3 on principles directly associated with the involvement of a non-Euclidian technique of describing. As a modeling space, which most adequately describes the internal structure of a real crystal, a finite closed space with elliptic metric and constant positive Gaussian curvature (K=1) was chosen, which assumes the realization of lattice systems in compliance with Fedorov groups of transformations. An algorithm for generating the cluster structures is presented, which determines the sequence of filling of the model space with cations and anions, taking into account the symmetry of a microstructure (a Fedorov group) and the electrostatic parameters of ions. Calculations of the geometrical sizes of nano- and microcrystalline complexes of Al2O3 are given, taking into account the structural features of their formation at the cluster level. Practical applications connected with improving the structural characteristics of crystalline materials are discussed.
| Original language | English |
|---|---|
| Title of host publication | Advanced Materials Research |
| Pages | 52-59 |
| Number of pages | 8 |
| Volume | 872 |
| DOIs | |
| Publication status | Published - 2014 |
| Event | Russian-German Forum on Nanotechnology - Tomsk, Russian Federation Duration: 21 May 2013 → 24 May 2013 |
Publication series
| Name | Advanced Materials Research |
|---|---|
| Volume | 872 |
| ISSN (Print) | 10226680 |
Other
| Other | Russian-German Forum on Nanotechnology |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 21.5.13 → 24.5.13 |
Fingerprint
Keywords
- Cluster
- Crystalline complex
- Microstructure
ASJC Scopus subject areas
- Engineering(all)
Cite this
Modeling the cluster organization of Al2O3 for obtaining more perfect materials. / Klishin, Andrey; Kovancev, Alexander; Zakutaev, Alexander; Vereshchagin, Vladimir.
Advanced Materials Research. Vol. 872 2014. p. 52-59 (Advanced Materials Research; Vol. 872).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Modeling the cluster organization of Al2O3 for obtaining more perfect materials
AU - Klishin, Andrey
AU - Kovancev, Alexander
AU - Zakutaev, Alexander
AU - Vereshchagin, Vladimir
PY - 2014
Y1 - 2014
N2 - This paper considers the issues of building a model of the cluster organization of Al2O3 on principles directly associated with the involvement of a non-Euclidian technique of describing. As a modeling space, which most adequately describes the internal structure of a real crystal, a finite closed space with elliptic metric and constant positive Gaussian curvature (K=1) was chosen, which assumes the realization of lattice systems in compliance with Fedorov groups of transformations. An algorithm for generating the cluster structures is presented, which determines the sequence of filling of the model space with cations and anions, taking into account the symmetry of a microstructure (a Fedorov group) and the electrostatic parameters of ions. Calculations of the geometrical sizes of nano- and microcrystalline complexes of Al2O3 are given, taking into account the structural features of their formation at the cluster level. Practical applications connected with improving the structural characteristics of crystalline materials are discussed.
AB - This paper considers the issues of building a model of the cluster organization of Al2O3 on principles directly associated with the involvement of a non-Euclidian technique of describing. As a modeling space, which most adequately describes the internal structure of a real crystal, a finite closed space with elliptic metric and constant positive Gaussian curvature (K=1) was chosen, which assumes the realization of lattice systems in compliance with Fedorov groups of transformations. An algorithm for generating the cluster structures is presented, which determines the sequence of filling of the model space with cations and anions, taking into account the symmetry of a microstructure (a Fedorov group) and the electrostatic parameters of ions. Calculations of the geometrical sizes of nano- and microcrystalline complexes of Al2O3 are given, taking into account the structural features of their formation at the cluster level. Practical applications connected with improving the structural characteristics of crystalline materials are discussed.
KW - Cluster
KW - Crystalline complex
KW - Microstructure
UR - http://www.scopus.com/inward/record.url?scp=84891899436&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84891899436&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMR.872.52
DO - 10.4028/www.scientific.net/AMR.872.52
M3 - Conference contribution
AN - SCOPUS:84891899436
SN - 9783037859667
VL - 872
T3 - Advanced Materials Research
SP - 52
EP - 59
BT - Advanced Materials Research
ER -