  We report equilibrium and non-equilibrium conductance of terphenyl molecules
with different anchoring groups including sulfur and nitrogen atom. The
corresponding molecules are terphenyl-dithiols(TPDT) and
diamino-terphenyl(DATP). The non-equilibrium Green's function (NEGF) technique
has been implemented on the density functional tight-binding (DFTB) code to
perform computations of the electronic transport properties of molecular
devices. The NEGFs are used to compute the electronic density self-consistently
with open boundary condition naturally encountered in transport problem which
is imposed by the potentials at the contacts. As result, the value of the
molecular conductance with amine groups is higher about ten times than the
thiol anchored group
