Abstract

In the nanotechnoscience, on the one part, similar with the classical natural science are created explanatory schemes of the natural phenomena and formulated predictions of the course of the definite natural events on the basis of the mathematics and experimental data, and, on the other part, as in the engineering sciences are constructed not only the projects of the new experimental situations, but also structural schemes of the new nanosystem unknown in the nature and in the technology. Scanning Tunneling Microscope in the nanoexperiment is not only an arrangement of the scientific investigation, but also in the same time a facility to fabricate the electrically conducting bridges between an electrode and the selected nanotubes and computer modeling and design of the different artifacts. The operation of nanotheory is realized by the iteration method. At first a special engineering problem is formulated. Then it is represented in the form of the structural scheme of the nanosystem which is transformed into the idea about the natural process reflecting its performance. To calculate and mathematically model this process a functional scheme is constructed. Consequently, the engineering problem is reformulated into a scientific one and then into a mathematical problem solved by the deductive method. This path from the bottom to the top represents the analysis of schemes (the bottom up approach). The way in the opposite direction — the synthesis of schemes (the top down approach) — makes it possible to synthesize the ideal model of a new nanosystem from idealized structural elements according to the appropriate rules of deductive transformation, to calculate basic parameters of the nanosystem and simulate its function.