The structural, thermodynamics, electronics and mechanical properties of Rhodium andapproximately 1.6% for Ru and 1.9% for Rh. The bulk moduli agree with other reported resultsRuthenium transition metals are analyzed using the first principle calculations in this research.depending on the direction of its covalent bonding while Rh withstand breaking during band three fold, two fold degenerate. And non degenerate levels are represented by the compared to Rh in terms of its elastic characteristics and more prone to modify its properties GGA to treat the exchange – correlation function with the PBE functional are mechanically stable as they agreed excellently with the results discussed in the literature. The experimental development compared to Ru because of its anisotropy’s greater deviation from parameters for Rh and Ru respectively are C44 is 2.0 and 221, C11 – C12 is 0.19 and 238, and 2C11– 2C12 is8.74 and 1376. The results also indicate that Ru exhibits anisotropic tendencies package where the elemental structures were obtained and the PAW pseudo potentials andreported in the literature. The outcome of this investigation shows that the examined elementsThe results for the lattice parameters deviated from experimental and theoretical results withWe adopted the DFT with the solution pf Kohn Sham equation given and using the Xcrydenunity, hence, this is accurately given that it’s also stiffer and tougher.