Abstract
The composition-dependent lattice parameters and elastic constants of
In1-xTlx(0<x <= 0.4) alloy in face-centered-cubic (fcc) and
face-centered-tetragonal (fct) crystallographic phases are calculated
by using the first-principles exact muffin-tin orbitals method in
combination with coherent-potential approximation. The calculated
lattice parameters and elastic constants agree well with the available
theoretical and experimental data. For pure In, the fcc phase is
mechanically unstable as shown by its negative tetragonal shear modulus
C'. With Tl addition, C' of the fcc phase increases whereas that of the
fct phase decreases, indicating that the fcc phase becomes mechanically
more stable and the fct phase becomes less stable. In addition, the
structural energy difference between the fcc and fct phases decreases
with x. Both of these effects account for the observed lowering of the
fcc-fct martensitic transition temperature upon Tl addition to In. The
density of states indicates that the stability of the fct phase
relative to the fcc one at low temperatures is due to the particular
electronic structure of In and In-Tl alloys.
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