6533b871fe1ef96bd12d10d0

RESEARCH PRODUCT

Symmetry and models of single-walled TiO2 nanotubes with rectangular morphology

Robert A. EvarestovAndrei V. BanduraSergey PiskunovYuri F. Zhukovskii

subject

AnataseNanostructureMaterials scienceline groupsBand gaptio2 nanotubesPhysicsQC1-999Ab initiohybrid hf-dft pbe0 calculationsGeneral Physics and AstronomyNanotechnologyanatase structureMolecular physicsCondensed Matter::Materials ScienceReflection symmetryLinear combination of atomic orbitalsSlabrotohelical symmetryStoichiometry

description

Abstract The formalism of line symmetry groups for one-periodic (1D) nanostructures with rotohelical symmetry has been applied for symmetry analysis of single-walled titania nanotubes (SW TiO2 NTs) formed by rolling up the stoichiometric two-periodic (2D) slabs of anatase structure. Either six- or twelve-layer (101) slabs have been cut from TiO2 crystal in a stable anatase phase. After structural optimization, the latter keeps the centered rectangular symmetry of initial slab slightly compressed along a direction coincided with large sides of elemental rectangles. We have considered two sets of SW TiO2 NTs with optimized six- and twelve-layer structures, which possess chiralities (−n, n) and (n, n) of anatase nanotubes. To analyze the structural and electronic properties of titania slabs and nanotubes, we have performed their ab initio LCAO calculations, using the hybrid Hartree-Fock/Kohn-Sham exchange-correlation functional PBE0. The band gaps (Δɛ gap) and strain energies (E strain) of six-layer nanotubes have been computed and analyzed as functions of NT diameter (D NT). As to models of 12-layer SW TiO2 NTs of both chiralities, their optimization results in structural exfoliation, i.e., the multi-walled structure should be rather formed in nanotubes with such a number of atomic layers.

10.2478/s11534-010-0095-8https://doaj.org/article/a6e60c9610634fd896613f7c6266e224