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Electronic structures of superconducting ternaries: La3Ni4Si4, La3Ni4Ge4,La3Pd4Si4, La3Pd4Ge4, and their non-superconducting counterpart, La3Rh4Ge4,have been calculated employing the full-potential local-orbital method withinthe density functional theory. Our investigations were focused particularly ondensities of states (DOSs) at the Fermi level with respect to previousexperimental heat capacity data, and Fermi surfaces (FSs) being very similarfor all considered here compounds. In each of these systems, the FS originatingfrom several bands contains both holelike and electronlike sheets possessingdifferent dimensionality, in particular quasi-two-dimensional cylinders withnesting properties. A comparative analysis of the DOSs and FSs in these344-type systems as well as in nickel (oxy)pnictide and borocarbidesuperconductors indicates rather similar phonon mechanism of theirsuperconductivity.

Electronic structure of the 344-type superconductors La3(Ni;Pd)4(Si;Ge)4 by ab initio calculations