Physics, Chemistry and Applications of Nanostructures 2013
DOI: 10.1142/9789814460187_0003
|View full text |Cite
|
Sign up to set email alerts
|

Symmetry and Calculations of Nanotubes and Nanowires Based on Rutile and Perovskite Structures

Abstract: The formalism of line groups is used to analyze the symmetry of nanowires and nanotubes based on rutile TiO 2 and perovskite BaTiO 3 . The results of first-principles calculations of these nanostructures are presented and discussed. It is shown that TiO 2 based nanowires are more stable than BaTiO 3 -based ones, whereas the latter are more stable than BaTiO 3 -based nanotubes with the equal number of formula units per monoperiodic unit cell.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

0
3
0

Year Published

2018
2018
2022
2022

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(3 citation statements)
references
References 15 publications
(22 reference statements)
0
3
0
Order By: Relevance
“…These problems have been taken care of in the modern hybrid DFT calculations such as LDA + U, GW, etc, but which method is most reliable for the rest of the band structure is an open question. For a more extensive discussion see, for example, Evarestov [139].…”
Section: Electronic Structurementioning
confidence: 99%
“…These problems have been taken care of in the modern hybrid DFT calculations such as LDA + U, GW, etc, but which method is most reliable for the rest of the band structure is an open question. For a more extensive discussion see, for example, Evarestov [139].…”
Section: Electronic Structurementioning
confidence: 99%
“…It is well established that the symmetry properties of nanotubes (NTs) and related nano-structures are described using line groups [14,[20][21][22]]. As a specific example of application of group theoretical approach developed in the present work, we will consider spin splitting in cobalt oxide NTs and will analyze it using the appropriate magnetic line groups.…”
Section: Introductionmentioning
confidence: 99%
“…A basis set in computational chemistry is a set of functions which are linear combinations with atomic orbitals used to create the molecular orbitals 55 . The common basis functions in quantum chemistry consists of two types namely Slater-type orbitals (STO) and Gaussian type orbitals (GTO) 56 .…”
Section: Basis Setsmentioning
confidence: 99%