The part of acoustic phonons in the negative thermal expansion of the layered structures and nanotubes based on them

A negative linear thermal expansion observed experimentally in a number of crystalline compounds with a complicated lattice and anisotropic interaction between atoms. The nature of negative linear thermal expansion along a number of directions is explained on the basis of calculations which were carried out at a microscopic level. We analyze anomalies in the temperature dependence of the coefficients of linear thermal expansion (the LTEC) along different directions: in layered crystals, formed as a monoatomic layers (graphite and carbon nanofilms) and multilayer “sand-wiches” (dichalcogenides of transition metals); in multilayer crystal structures such as high-temperature super-conductors in which the anisotropy of the interatomic interaction is not saved in the long-range order; in carbon nanotubes. The results of theoretical calculations are compared with the data of x-ray, neutron diffraction and dilatometric measurements.

Key words: interatomic interaction in crystals, phonon spectrum, quasiharmonic dynamics of the crystal lattice, thermal expansion.

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