A study of carbon nanotubes energetics using orbital free method in the frame-work of the density functional theory
( Pp. 29-36)
More about authors
Zavodinsky Victor G.
Khabarovsk branch at Institute of Applied Mathematics of the Far Eastern branch of the Russian Academy of Sciences
Khabarovsk, Russian Federation Gorkusha Olga A.
Military Academy of Communications named after Marshal of the Soviet Union S.M. Budyonny
St. Petersburg, Russian Federation
Khabarovsk branch at Institute of Applied Mathematics of the Far Eastern branch of the Russian Academy of Sciences
Khabarovsk, Russian Federation Gorkusha Olga A.
Military Academy of Communications named after Marshal of the Soviet Union S.M. Budyonny
St. Petersburg, Russian Federation
Abstract:
Dependence of the binding energy of carbon atoms in nanotubes on the tube diameter is studied. The full-electron orbital free modeling method, developed by us in the framework of the density functional theory, was used for calculation of the binding energy. Nanotubes of limited lengths with the armchair ends were investigated. The tube diameter D, was varied from 0,68 nm up to 1,50 nm; numbers of included atoms were changed from 80 up to 320. Three sets of tubes were studied: the tube length was 0,87 nm in the first set, 1,36 nm in second set, and 1,86 nm in the third set. For the first set the energy minimum (-7.50 eV) was found at Dmin = 1,22 nm, for the second set (-7.62 eV) at Dmin = 1.00 nm, and for the third set (-8.01 eV) at Dmin = 1.06 eV.
How to Cite:
Zavodinsky V.G., Gorkusha O.A., (2020), A STUDY OF CARBON NANOTUBES ENERGETICS USING ORBITAL FREE METHOD IN THE FRAME-WORK OF THE DENSITY FUNCTIONAL THEORY. Computational Nanotechnology, 3 => 29-36.
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Perdew J.P., Wang Y. Accurate send simple density functional for the electronic exchange energy. Physical Review. 1986. No. 33. Pp. 8800-8802.
Zavodinsky V.G., Gorkusha O.A. On a possibility to develop a fullpotential orbital-free modeling approach. Nanosystems: Physics, Chemistry, Mathematics, 2019. No. 10 (4). Pp. 402-409.
Zavodinskiy V.G., Gorkusha O.A. Polnoelektronnyy bezorbital nyy metod modelirovaniya atomnykh sistem: pervyy shag. Computational Nanotechnology. 2019. T. 6. № 3. C. 80-85.
Polnoelektronnyy paket dlya modelirovaniya atomov i molekul. URL: http://elk.sourceforge.net
Chin Li Cheung, Andrea Kurtz, Hongkun Park, Charles M. Lieber. Diameter-controlled synthesis of carbon nanotubes. J. Phys. Chem. B. 2002. No. 106. Pp. 2429-2433.
Eletskiy A.V. Uglerodnye nanotrubki. UFN. 1997. № 167 (9). S. 945-972.
Ching-Hwa Kiang, Goddard III W.A., Beyers R., Bethune D.S. Carbon nanotubes with single-layer walls. In: Carbon nanotubes. M. Endo, S. Iijima, M.S. Dresselhaus (eds). Oxford OX5 l GB, U.K.: Pergamon, Elsevier Science Ltd; The Boulevard, Langford Lane, Kidlington, 1996. Pp. 47-58.
Zavodinsky V.G., Gorkusha O.A., Kuzmenko A.P. Energetics of carbon nanotubes with open edges: Modeling and experiment. Nanosystems: Physics, Chemistry, Mathematics. 2017. No. 8 (5). Pp. 635-640.
Kohn W., Sham J.L. Self-consistent equations including exchange and correlation effects. Phys. Rev. 1965. Vol. 140. Pp. A1133-A1138.
Hohenberg H., Kohn W. Inhomogeneous electron gas. Phys. Rev. 1964. Vol. 136. Pp. B864-B871.
Perdew J.P., Zunger A.S. Self-interaction correction to density functional approximation for many-electron systems. Physical Review. 1981. No. 23. Pp. 5048-5079.
Ceperley D.M., Alder B.J. Ground state of the electron gas by a stochastic method. Physical Review. 1980. No. 45. Pp. 566-569.
Perdew J.P., Wang Y. Accurate send simple density functional for the electronic exchange energy. Physical Review. 1986. No. 33. Pp. 8800-8802.
Zavodinsky V.G., Gorkusha O.A. On a possibility to develop a fullpotential orbital-free modeling approach. Nanosystems: Physics, Chemistry, Mathematics, 2019. No. 10 (4). Pp. 402-409.
Zavodinskiy V.G., Gorkusha O.A. Polnoelektronnyy bezorbital nyy metod modelirovaniya atomnykh sistem: pervyy shag. Computational Nanotechnology. 2019. T. 6. № 3. C. 80-85.
Polnoelektronnyy paket dlya modelirovaniya atomov i molekul. URL: http://elk.sourceforge.net
Keywords:
quantum modeling, density functional theory, orbital-free approach, carbon nanotubes.
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