  In this work, we present structural, electronic, magnetic, mechanical and
transport properties of equiatomic quaternary Heusler alloy, CoRhMnGe using
both theoretical and experimental techniques. A detailed structural analysis is
performed using X-ray diffraction(XRD) and extended X-ray absorption fine
structure(EXAFS) spectroscopy. The alloy is found to crystallize in Y-type
structure having space group $F\bar{4}3m$ (\# 216). The ab-initio simulation
pedict half-metallic ferromagnetic characteristics leading to large spin
polarization. The calculated magnetization is found to be in fair agreement
with experiment as well as those predicted by the Slater-Pauling rule, which is
a prerequisite for half-metallicity. The magnetic transition
temperature($\mathrm{T_{C}}$) is found to be $\sim 760$ K. Measured electrical
resistivity in the temperature range 2-400 K also gives an indication of
half-metallic behavior. Simulated resistivity matches fairly well with those
measured, with the temperature dependant carrier relaxation time lying in the
range $1-2$ fs. Effect of hydrostatic pressure on electronic structure,
magnetic and mechanical properties are investigated in detail. The alloy is
found to preserve half-metallic characteristics upto 30.27 GPa beyond which it
transit to metallic phase. No magnetic phase transition is found to occur in
the whole range of pressure. The system also satisfies the Born-Huang criteria
for mechanical stability upto a limited range of pressure. All these properties
make CoRhMnGe alloy promising for spintronics devices.
