A general efficient implementation of the BSSE‐free SCF and MP2 methods based on the chemical Hamiltonian approach

We describe some details related to a new, general, and efficient implementation of the BSSE‐free SCF and second‐order Møller–Plesset perturbation theories of intermolecular interactions, based on the “Chemical Hamiltonian Approach” (CHA). The program is applicable for both open‐shell and closed‐shell systems and for an arbitrary number of interacting subsystems. With the new program the CHA method is faster than the usual “counterpoise correction” scheme for single point calculations, especially for clusters consisting of several molecules. The numerical results provided by these conceptually different schemes, however, have again found to be very close to each other. The CHA scheme is particularly good for providing truly BSSE‐free MP2 data for intermolecular potentials. © 2006 Wiley Periodicals, Inc. J Comput Chem 27: 1505–1516, 2006

[1]  J. V. Lenthe,et al.  State of the Art in Counterpoise Theory , 1994 .

[2]  I. Mayer,et al.  SCF theory of intermolecular interactions without basis set superposition error , 1987 .

[3]  István Mayer,et al.  Atomic Orbitals from Molecular Wave Functions: The Effective Minimal Basis , 1996 .

[4]  Sándor Suhai,et al.  Intermolecular bond lengths: extrapolation to the basis set limit on uncorrected and BSSE‐corrected potential energy hypersurfaces , 2001 .

[5]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[6]  Robert J. Harrison,et al.  Development of transferable interaction models for water. II. Accurate energetics of the first few water clusters from first principles , 2002 .

[7]  E. Davidson,et al.  An analysis of the hydrogen bond in ice , 1990 .

[8]  Curtis L. Janssen,et al.  Accurate structures and binding energies for small water clusters: The water trimer , 1999 .

[9]  J. Perdew,et al.  Proper gaussian basis sets for density functional studies of water dimers and trimers. , 2005, The journal of physical chemistry. B.

[10]  I. Mayer Interrelations between the a priori and a posteriori BSSE correction schemes , 2004 .

[11]  J. Dannenberg,et al.  Correcting for basis set superposition error in aggregates containing more than two molecules: Ambiguities in the calculation of the counterpoise correction , 1993 .

[12]  Sotiris S. Xantheas,et al.  Ab initio studies of cyclic water clusters (H2O)n, n=1–6. I. Optimal structures and vibrational spectra , 1993 .

[13]  István Mayer,et al.  An analytical investigation into the BSSE problem , 1991 .

[14]  Ranbir Singh,et al.  J. Mol. Struct. (Theochem) , 1996 .

[15]  P. Surján,et al.  Improved intermolecular SCF theory and the BSSE problem , 1989 .

[16]  Péter R. Surján,et al.  Monomer geometry relaxation and the basis set superposition error , 1992 .

[17]  István Mayer,et al.  Hierarchy of counterpoise corrections for N-body clusters: generalization of the Boys-Bernardi scheme , 1997 .

[18]  István Mayer,et al.  Second order Mo/ller–Plesset perturbation theory without basis set superposition error , 1998 .

[19]  I. Mayer On the Hylleraas functional for a non-Hermitian unperturbed Hamiltonian , 1996 .

[20]  István Mayer,et al.  Towards a “Chemical” Hamiltonian , 1983 .

[21]  W. Goddard,et al.  Accurate Energies and Structures for Large Water Clusters Using the X3LYP Hybrid Density Functional , 2004 .

[22]  P. Salvador,et al.  Second-order Møller-Plesset perturbation theory without basis set superposition error. II. Open-shell systems. , 2004, The Journal of chemical physics.

[23]  Sándor Suhai,et al.  On the effect of the BSSE on intermolecular potential energy surfaces. Comparison of a priori and a posteriori BSSE correction schemes , 2001, J. Comput. Chem..

[24]  István Mayer,et al.  THE CHEMICAL HAMILTONIAN APPROACH FOR TREATING THE BSSE PROBLEM OF INTERMOLECULAR INTERACTIONS , 1998 .

[25]  J. J. Dannenberg,et al.  Molecular orbital calculations of water clusters on counterpoise-corrected potential energy surfaces , 2004 .

[26]  Jae Shin Lee,et al.  Basis set limit binding energies of hydrogen bonded clusters , 2003 .

[27]  S. Leutwyler,et al.  An ab initio derived torsional potential energy surface for the cyclic water tetramer , 1998 .