R. Stadler et al., AB-INITIO CALCULATIONS OF THE COHESIVE, ELASTIC, AND DYNAMICAL PROPERTIES OF COSI2 BY PSEUDOPOTENTIAL AND ALL-ELECTRON TECHNIQUES, Physical review. B, Condensed matter, 54(3), 1996, pp. 1729-1734
Ab initio calculations of cohesive properties, elastic constants, and
phonon dispersions for CoSi2 were performed by means of the Vienna ab
initio molecular-dynamics package (VAMP), which makes use of ultrasoft
pseudopotentials. In addition, the all-electron full-potential linear
ized augmented-plane-wave method was used for the calculation of equil
ibrium properties as well as elastic constants derived from second der
ivatives of total energies. For both methods, total energies, their de
rivatives, and related quantities are fully converged with respect to
basis sizes and number of k points. Our results for C-44 prove that at
omic positions in the strained crystal have to be fully relaxed in ord
er to get quantitatively useful results. The results of both methods o
btained within the same type of local-density approximation are in ver
y good agreement between each other. Because elastic constants are ver
y sensitive quantities for an ab initio method in general, the reprodu
ction of high-quality all-electron data by VAMP demonstrates the power
of suitably constructed pseudopotentials even for systems containing
transition elements. VAMP was also applied to calculate elastic consta
nts in two other ways, namely, directly from the stress-strain relatio
ns (which yielded the same results as obtained from total-energy deriv
atives) and from acoustic branches of the phonon dispersion. In this c
ase, however, we only succeeded in getting a useful result for C-44 wh
ereas for the remaining two elastic constants prohibitively large supe
rcells would be needed. Finally, VAMP calculations were performed with
in the framework of the generalized gradient approximation to density-
functional theory. From that, data were derived which are in very good
agreement with experimental values.