Nanotubes structure and its research by diffractional methods

Z.Ya.Khalitov

Russia

 

Elements of crystallography and quantitative theory of X-rays diffraction on circular, helical, rolled and cone nanotubes are developed. Results are also applicable to the case of electron microdiffraction. Criteria of nanotubes type identification and their polytypic modification are revealed.

Nanotubes or cylindrical crystals are promising objects for applied developments in the field of nanotechnology. Therefore the need for correct researches of nanotubes structure is essential and will increase. Formation of diffractional methods of cylindrical crystals structural analysis began simultaneously with their discovering, that is, in the fifties of the last century. Nevertheless, this sphere of science is still at the initial stage of development. For the basic types of cylindrical structures, established experimentally, crystallography description is developed only for structures of circular and helical type. Theoretical analysis of diffraction is performed only for the case of azimuthally disordered circular lattice, further called Whittaker's model (and it is necessary to consider as essentially incorrect).

The submitted paper aims at further development both of crystallography of these unique and promising objects, and of theory of diffraction on them. Calculations of theoretical profiles were performed on an example of chrysotile, however crystallography description and mathematical tools, offered in article, are applicable to any nanotubes.