The tutorial describes the basics of knowledge about materials and their properties at a scale level, where one of the linear dimensions of the object lies in the range from 1 nm to 100 nm (1 nm = 10-9 m). Methods of obtaining, control, methods of theoretical and experimental study of structure and physicochemical properties of nanomaterials are considered. The given amount of knowledge is an integral part of the professional training of specialists in the field of condensed matter physics, theoretical physics and nanotechnology.