В данной работе представлена математическая модель однослойной углеродной нанотрубки типа «armchair», построенная с использованием метода молекулярной механики. С помощью модели были получены зависимости упругих свойств нанотрубки от её диаметра, рассчитаны значения характеристик упругости: модуля Юнга, модуля сдвига и коэффициента Пуассона. Было обнаружено, что модуль Юнга и модуль сдвига снижаются с увеличением диаметра. Коэффициент Пуассона незначительно колеблется при изменении диаметра. A mathematical model of single-layer carbon nanotube “armchair” based on method of molecular mechanics is presented in this paper. The relations between nanotube elastic properties and its diameter were obtained using this model, the values of elastic properties, such as Young’s modulus, shear modulus and Poisson’s ratio were calculated. It was found that Young’s modulus and shear modulus decreases as diameter grows. Poisson’s ratio slightly fluctuates with diameter changing.

Broken inversion symmetry in magnetic nanostructures induces Dzyaloshinskii-Moriya couplings. In the presence of surfaces/interfaces the magnetism of magnetic nanodisks can be essentially affected by these chiral couplings. Within a micromagnetic approach we calculate the equilibrium sizes and shape of the vortices as functions of magnetic field, the material, and the geometrical parameters of nanodisks. It was found that the Dzyaloshinskii-Moriya coupling can considerably increase sizes of vortices with “right” chirality and suppress vortices with opposite chirality. This allows to form a bistable system of vortices with the same chirality as a basic element for storage applications.
Phys. Rev. B 80, 134410 (2009)