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The methods which are actively used for electronic structure calculations oflow-lying states of heavy- and superheavy-element compounds are brieflydescribed. The advantages and disadvantages of calculations with theDirac-Coulomb-Breit Hamiltonian, Huzinaga-type pseudopotential,shape-consistent Relativistic Effective Core Potential (RECP) and GeneralizedRECP are discussed. The nonvariational technique of the electronic structurerestoration in atomic cores after the RECP calculation of a molecule ispresented. The features of some approaches accounting for electron correlation,the configuration interaction and coupled cluster methods, are also described.The results of calculations on E113, E114, U and other heavy-atom systems arepresented.Comment: 20 pages, REVTeX4 style, published in the journal Yadernaya Fizika  (Physics of Atomic Nuclei), v.66, 200

Accuracy and efficiency of modern methods for electronic structure calculation on heavy-and superheavy-element compounds