Band-structure calculations of Ba2Cu3O4Cl2, within the local-density a
pproximation (LDA) are presented. The investigated compound is similar
to the antiferromagnetic parent compounds of the cuprate superconduct
ors but contains additional Cu-B atoms in the Cu-O planes. Within the
LDA, metallic behavior is found with two bands crossing the Fermi surf
ace. These bands are built mainly from Cu 3d(x2-y2) and O 2p(x,y) orbi
tals, and a corresponding tight-binding (TB) model for these bands has
been parameterized. Ail orbitals can be subdi vided in two sets corre
sponding to the A and B subsystems, respectively, the coupling between
which is found to be small. To describe the experimentally observed a
ntiferromagnetic insulating stale, we propose an extended Hubbard mode
l using the parameters derived from the TB fil and local correlation t
erms characteristic for cuprates. Using this parameter set we calculat
e the exchange integrals for the Cu3O4 plane, the results being in qui
te reasonable agreement with the experimental values for the isostruct
ural compound Sr2Cu3O4Cl2.