  Calculations using density functional theory (DFT) were performed to
investigate the structural, dynamical, mechanical, electronic, magnetic, and
thermoelectric properties of VTiRhZ (Z = Al, Ga, In) alloys. The most stable
structure of these alloys was found to be the type-I configuration. Using
GGA-PBE functional, VTiRhGa, and VTiRhIn alloys are predicted as half-metallic
ferromagnets with a 100% spin-polarization and a total magnetic moment of
3{\mu}B, which is promising for spintronic applications. The thermoelectric
properties and lattice thermal conductivity of VTiRhZ alloys were obtained
using the Boltzmann transport theory within the constant relaxation time and
Slack equation, respectively. The figure-of-merit (ZT) values of VTiRhAl,
VTiRhGa, and VTiRhIn alloys were found to be 0.96, 0.88 and 0.64, respectively,
which are promising for future thermoelectric applications.
