We present the results of first-principles, density-functional calcula
tions on isolated, single, infinite zig-zag chains of nitrogen atoms a
nd on isolated, single, infinite linear chains of carbon atoms. Exchan
ge and correlation effects were treated within a local approximation a
nd special emphasis was put on whether the calculations yielded a stru
cture with alternating bond lengths as that with the lowest total ener
gy (i.e. on whether a Peierls' distortion was found) as well as on the
dependence of the results on the sampling in the one-dimensional k sp
ace.