We investigate the variation of elastic stiffness moduli and thermodynamic properties yttrium orthosilicate (Y2SiO5, YSO) under various doping concentrations Eu3+ ions. The model is based on a low temperature approximation (T<<?D) , plane-wave density functional theory (DFT) used to carry out calculations. results show that ions primarily occupy Y1 site basic molecule for all applied concentrat...