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THE CHEMICAL HAMILTONIAN
APPROACH
(CHA)
-
INTRODUCTION
The two alternative treatments of
the Basic Set Superposition Error (BSSE)
problem of molecular interaction - the a posteriori counterpoise (CP)
correction scheme of Boys and Bernardi (BB
Molecular Physics 19, pp553
1970) and the a priori
exclusion of the basic-set superposition error (BSSE) by using the
"chemical Hamiltonian approach" (CHA).
The basic idea of the a priori exclusion of the BSSE was formulated
by ISTVÁN
MAYER in 1983 (International Journal of Quantum Chemistry, vol.
XXIII,
341 - 363, 1983), and was
successfully applied in the intermolecular
interaction calculation.
Publications:
- I. Mayer: Towards a "Chemical" Hamiltonian, International
Journal of Quantum Chemistry, 23,341-363, (1983).
- I. Mayer and Á. Vibók: SCF Equations in
the
Chemical Hamiltonian Approach, Chemical Physics Letter, 148,
No. 1, 68-72, (1988).
- Á. Vibók and I. Mayer: Intermolecular SCF
Theory Without BSSE: the Equations and Some Applications for Small
Systems, Journal of Molecular Structure (Theochem), 170,
9-17, (1988).
- I. Mayer, P. R. Surján and Á. Vibók: BSSE-Free
SCF Methods for Intermolecular Interactions, International Journal
of Quantum Chemistry (Quantum Chemistry Symposium), 23,
281-290, (1989).
- Á. Vibók and I. Mayer: Towards a Third
Order
Perturbation Theory of Intermolecular Interactions Without BSSE,
Acta Physica Hungarica, 68, No. 3-4, 241-251, (1990).
- I. Mayer and Á. Vibók: A Comparision of a
priori and a posteriori BSSE Correction Schemes for Rare Gas-Proton
Potential Curves, Acta Physica Hungarica, 70, No. 4,
403-413, (1991).
- I. Mayer and Á. Vibók: A BSSE-Free SCF
Algorithm for Intermolecular Interactions, International Journal of
Quantum Chemistry, 40, 139- 148, (1991).
- I. Mayer and L. Turi: An Analytical Invetigation into
the BSSE
Problem, Journal of Molecular Structure (Theochem), 227,
43-65, (1991).
- G. J. Halász, Á. Vibók, P. Valiron and
I.
Mayer: BSSE-Free SCF Algorithm for Treating Several Weakly
Interacting System, Journal of Physical Chemistry, 100, No.
15, 6332-6335, (1996).
- I. Mayer and Á. Vibók: BSSE-Free
Second-Order
Intermolecular Perturbation Theory, Molecular Physics, 92,
No. 3, 503-510, (1997).
- P. Valiron and I. Mayer: Hierarchy of Counterpoise
Corrections for N-Body Clusters: Generalization of the Boys-Bernardi
Scheme, Chemical Physics Letters, 275, 46-55, (1997).
- G. J. Halász, Á. Vibók and S. Suhai: A
BSSE-Free SCF Algorithm for Intermolecular Interactions. IV.
Generalization for Open-Shell Systems, International Journal of
Quantum Chemistry, 68, 151-158, (1998).
- Á. Vibók, G. J. Halász and I. Mayer: BSSE-free
Second-Order Intermolecular Perturbation Theory. II. Sample
Calculations on Hydrogen-Bonded Complexes, Molecular Physics, 93,
No. 6, 873-877, (1998).
- I. Mayer: The Chemical Hamiltonian Approach for
Treating the
BSSE Problem of Intermolecular Interactions, International Journal
of Quantum Chemistry, 70,,41-63, (1998).
- I. Mayer and P. Valiron: Second Order Moller-Plesset
Perturbation Theory without Basis Set Superposition Error, Journal
of Chemical Physics, 109, No. 9, 3360-3373, (1998).
- G. Lendvay and I. Mayer: Some Difficulties in Computing
BSSE-Corrected Potential Surfaces of Chemical Reactions, Chemical
Physics Letters, 297, 365-373, (1998).
- Á. Vibók: Generalization of the Hylleraas
Functional for Calculating BSSE-Free Intermolecular Interactions:
Further Considerations, Journal of Mathematical Chemistry, 28,
No. 1-3, 207-211, (2000).
- A. Hamza, Á. Vibók, G. J. Halász and
I.
Mayer: BSSE-Free SCF Theories: A Comment, Journal of Molecular
Structure (Theochem), 501-502, 427-434, (2000).
- B. Paizs, P. Salvador, A. G. Császár, M.
Duran and
S. Suhai: Intermolecular Bond Lengths: Extrapolation to the Basis
Set Limit on Uncorrected and BSSE-Corrected Potential Energy
Hypersurface, Journal of Computational Chemistry, 22, No.
2, 196-207, (2001).
- P. Salvador, B. Paizs, M. Duran and S. Suhai: On the
Effect
of the BSSE on Intermolecular Potential Energy Surfaces. Comparison of
a priori and a posteriori BSSE Correction Schemes, Journal of
Computational Chemistry, 22, No. 7, 765-786, (2001).
- A. Bende, Á. Vibók, G. J. Halász, S.
Suhai: BSSE-free
Description of the Formamide Dimers, International Journals of
Quantum Chemistry 84, 617-622, (2001).
- A. Bende, M. Knapp-Mohammady, S. Suhai: BSSE-free
Description
of Intermolecular Force Constants in Hydrogen Fluoride and Water Dimers,
International Journals of Quantum Chemistry, (in press).
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