Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: TiC lattice dynamics from ab initio calculations   Ab initio calculations and a direct method have been applied to derive the
phonon dispersion curves and phonon density of states for the TiC crystal. The
results are compared and found to be in a good agreement with the experimental
neutron scattering data. The force constants have been determined from the
Hellmann-Feynman forces induced by atomic displacements in the 2x2x2 supercell.
The calculated phonon density of states suggests that vibrations of Ti atoms
form acoustic branches, whereas the motion of C atoms is confined to optic
branches. The elastic constants have been found using the deformation method
and compared with the results obtained from acoustic phonon slopes.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol