Temperature dependence of Young’s modulus of titanium dioxide (TIO2) nanotubes: Molecular mechanics modeling

Temperature dependence of the Young’s modulus of cylindrical single-wall nanotubes with zigzag and armchair chiralities and consolidated-wall nanotubes has been studied by the molecular mechanics method with the use of the atom–atom potential. The nanotubes have been obtained by rolling up of crysta...

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Bibliographic Details
Published in:Physics of the solid state 2015-12, Vol.57 (12), p.2464-2472
Main Authors: Lukyanov, S. I., Bandura, A. V., Evarestov, R. A.
Format: Article
Language:English
Subjects:
Mechanical Properties
Nanotubes
Physics
Physics and Astronomy
Physics of Strength
Plasticity
Solid State Physics
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Summary:Temperature dependence of the Young’s modulus of cylindrical single-wall nanotubes with zigzag and armchair chiralities and consolidated-wall nanotubes has been studied by the molecular mechanics method with the use of the atom–atom potential. The nanotubes have been obtained by rolling up of crystal layers (111) of TiO 2 with fluorite structure. Calculations have been performed for isothermal conditions on the basis of calculating the Helmholtz free energy of the system. The dependence of the Helmholtz free energy of nanotubes on the period has been calculated in the quasi-harmonic approximation as a result of calculation of phonon frequencies. It has been shown that the temperature dependence of the stiffness of nanotubes is determined by their chirality, and some nanotubes exibit anomalous behavior of both the Young’s modulus and the period of unit cell with variation in temperature.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783415120239