ADIABATIC POTENTIAL OF THE SYSTEM OF 2 EQUIVALENT VIBRONIC CENTERS WITH COMMON ATOMS .1. ONE-CENTER-COORDINATE APPROACH

A method for investigating the adiabatic potential of two-centre vibro nic systems employing one-centre symmetrized nuclear coordinates is pr oposed. The local nuclear coordinates of different centres are interde pendent because the centres have common atoms. The coupling equations for these coordinates are obtained for an arbitrary two-centre system having reflection symmetry sigma(h). The extrema of the adiabatic pote ntial are investigated under the additional conditions imposed by thes e coupling equations. As an example of the above approach the general expression for the sheets of adiabatic potentials of bioctahedra is ob tained and the simplest case of a top-shared bioctahedron is investiga ted.