The method for the determination of electrical self-capacitance of the atomic and molecular scale objects

摘要

The combined electronic devices may be a first step on a path leading to a development of the nanoscale electronic devices. A complexity of a theoretical description of such combined devices is provided by a necessity to take into account the macroscopic properties of the classical electrical circuits and at the same time the quantum peculiarities of the nanoscale elements. In this work we suggest a conception of an effective self-capacitance of an isolated nanoobject (atom, molecule, nanogranule, quantum dot and etc.) on a basis of the functional dependence of it ground state full energy on it full charge. We reveal that electrical self-capacitance of the molecules depends on theirs topology and qualitatively likewise to a classical electrostatic case. The self-capacitance is proportional to the size of the nanoobject within the group of the sufficiently large similar nanoobjects (with the same form and topology). The functional dependence of the self-capacitance on the number of atoms is determined by nanoobject dimension.