A study of carbon nanotubes energetics using orbital free method in the frame-work of the density functional theory
( Pp. 29-36)

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Zavodinsky Victor G. Dr. Sci. (Phys.-Math.), Professor; leader-researcher
Khabarovsk branch at Institute of Applied Mathematics of the Far Eastern branch of the Russian Academy of Sciences
Khabarovsk, Russian Federation Gorkusha Olga A. Cand. Sci. (Phys.-Math.); senior researcher; Khabarovsk branch at Institute of Applied Mathematics of the Far Eastern branch of the Russian Academy of Sciences; Khabarovsk, Russian Federation
Military Academy of Communications named after Marshal of the Soviet Union S.M. Budyonny
St. Petersburg, Russian Federation
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.
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quantum modeling, density functional theory, orbital-free approach, carbon nanotubes.

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