  First-principle calculations were performed within the framework of the
density functional theory (DFT) using FP-LAPW method as implemented in WIEN2k
code to determine the structural stability, electronic and magnetic properties
of Rh$_2$CrGe$_{1-x}$Al$_x $($x = 0$, $0.25$, $0.50$, $0.75$ and $1$). The
results showed that for Rh$_2$CrAl and Rh$_2$CrGe, the Cu$_2$MnAl-type
structure is energetically more stable than Hg$_2$CuTi-type structure at the
equilibrium volume. The calculated densities of states for Rh$_2$CrAl and
Rh$_2$CrGe show half-metallic and nearly half-metallic behavior, respectively.
Rh$_2$CrGe$_{1-x}$Al$_x$ ($x = 0.25$, $0.50$, $0.75$) these alloys show a
half-metallic character, and these compounds are predicted to be good
candidates for spintronic applications.
