COMPORATIVE ANALIZE OF THE METODS OF INTERPOLATION AND APPROXIMATION OF THE BOUNDARY TRAJECTORY OF SHORT-FOCUS ELECTRON BEAM IN CONDITIONS OF ITS PROPAGATION IN THE IONIZED GAS

Possibilities and particularities of using the functions, which are formed as the roots of corresponded power from the polynomials of same power, for interpolation and approximation of the boundary trajectory of electron beam during its propagation in the ionized gas in the conditions of compensation of the intrinsic space charge of electrons by the positive ions of residual gas, are considered in the article. It’s have been shown, that the nature of considered functional dependences is strongly corresponded to adequate describing of the boundary trajectories of electron beams for the defined physical conditions. The mathematical functions, which are set as the roots of corresponded power from the polynomials of same power, always have the one global minimum, and outside the minimum area its nature is mostly seems to linear. Namely such functions in the case of correct choosing of polynomial coefficients most accurately, as well as adequate, described the boundary trajectories of short-focus electron beams in the case of its guiding in the ionized gas. It is reasoned, that for finding the optimal values of polynomial coefficients during the solving the approximation task is suitable to use the symbolic processor and the library functions of the system of scientific and technical calculations MatLab. The test examples of such approximation are also considered. It is shown, that generally the error of approximation is smaller, than 10%.

Mechanical magnetometry of Cobalt nanospheres deposited by focused electron beam at the tip of ultra-soft cantilevers

Using focused-electron-beam-induced deposition, Cobalt magnetic nanospheres with diameter ranging between 100 nm and 300 nm are grown at the tip of ultra-soft cantilevers. By monitoring the mechanical resonance frequency of the cantilever as a function of the applied magnetic field, the hysteresis curve of these individual nanospheres are measured. This enables the evaluation of their saturation magnetization, found to be around 430 emu/cm3 independent of the size of the particle, and to infer that the magnetic vortex state is the equilibrium configuration of these nanospheres at remanence.SEM image of a 200 nm Co nanosphere grown at the tip of an ultra-soft cantilever by focus electron beam induced deposition.