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Relativistic ab initio spin-orbit configuration interaction calculations are carried out in order to investigate the electronic structure and geometry of the $Li2Be$ metal atom cluster. The calculations take into account both electron correlation and spin-orbit effects. The procedure for the treatment of spin-orbit coupling in molecules is based on the use of relativistic effective potentials derived from Dirac-Fock atomic wavefunctions. Double-group symmetry is used to define the molecular electronic states. The ground state of $Li2Be$ and has a linear symmetrical geometry having band lengths of 2.5. $\lambda$. Several low-lying excited states are investigated and potential energy surfaces of the system are presented.