Dalgic, SSDalgic, SCeltek, MSengul, S2024-06-122024-06-1220031454-41641841-7132https://hdl.handle.net/20.500.14551/22162Effective pair potentials for some HCP liquid rare-carth metals near their melting points have been derived from the second order perturbation theory with the Heine-Abarenkov pseudopotential and the transferable electron-ion potential of Fiolhais and coworkers which was originally developed for the solid state. We have also constructed the Wills-Harrison (WH) model potentials. The s electron contribution to the effective potential has been taken into account with these potentials using different screening functions. in this work, recently proposed Karmakar-Joarder form of modified WH potentials has been applied to some HCP liquid metals, as Tb, Dy, Ho, Er and Lu in order to obtain the d state and f state contributions. The Singh form of WH potentials has also been calculated for comparison with those obtained by others. The liquid structure has been computed with both random phase approximation and the variational modified hypernetted chain (VMHNC) integral equation theory. It has been shown that the VMHNC results of static structure factors and pair distribution functions are in good agreement with the experimental data.eninfo:eu-repo/semantics/closedAccessLiquid StructureEffective Pair PotentialsRare-Earth MetalsElectronic-StructureArticle5512711279Q2WOS:0001854957000332-s2.0-0346243669Q4