title: Structure of ordered coaxial and scroll nanotubes: general approach.
abstract: The explicit formulas for atomic coordinates of multiwalled coaxial and cylindrical scroll nanotubes with ordered structure are developed on the basis of a common oblique lattice. According to this approach, a nanotube is formed by transfer of its bulk analogue structure onto a cylindrical surface (with a circular or spiral cross section) and the chirality indexes of the tube are expressed in the number of unit cells. The monoclinic polytypic modifications of ordered coaxial and scroll nanotubes are also discussed and geometrical conditions of their formation are analysed. It is shown that tube radii of ordered multiwalled coaxial nanotubes are multiples of the layer thickness, and the initial turn radius of the orthogonal scroll nanotube is a multiple of the same parameter or its half.
authors.affiliation: Nanotechnology in Electronics, Kazan National Research Technical University named after A. N. Tupolev, K. Marx 11, Kazan, Tatarstan 420111, Russian Federation.
authors.forename: Zufar
authors.initials: Z
authors.lastname: Khalitov
authors.affiliation: Nanotechnology in Electronics, Kazan National Research Technical University named after A. N. Tupolev, K. Marx 11, Kazan, Tatarstan 420111, Russian Federation.
authors.forename: Azat
authors.initials: A
authors.lastname: Khadiev
authors.affiliation: Nanotechnology in Electronics, Kazan National Research Technical University named after A. N. Tupolev, K. Marx 11, Kazan, Tatarstan 420111, Russian Federation.
authors.forename: Diana
authors.initials: D
authors.lastname: Valeeva
authors.affiliation: Nanotechnology in Electronics, Kazan National Research Technical University named after A. N. Tupolev, K. Marx 11, Kazan, Tatarstan 420111, Russian Federation.
authors.forename: Dmitry
authors.initials: D
authors.lastname: Pashin
keywords: chiral indexes; chiral nanotubes; multiwalled nanotubes; scroll nanotubes