ABSTRACT:Results of first-principle density-functional calculations on isolated, infinite, periodic chains containing only one type of atoms are reported. As examples we consider chains of Se, Al, Ba, Bi, Sb, and Sr. Se represents a material for which chain-like structures are found naturally, whereas Al prefers structures with high coordinations. Moreover, linear chains have been found in high-pressure phases of Ba, Bi, Sb, and Sr. For these, the structure of the linear chains is incommensurate with that of the surrounding host. For Se and Al we compare different structures (helical, linear, zigzag, cis, double zigzag, and tetragonal chains), whereas for the other elements we consider only linear chains. Special emphasis is put on structure, relative stability, and band structures.