Advances in quantum chemistry. Volume 24 Quantum theory project, University of Florida, Gainesville, Florida

ADVANCES IN QUANTUM CHEMISTRY VOL 24 Z. Content: Front Cover; Advances in Quantum Chemistry, Volume 24; Copyright Page; Contents; Contributors; Preface; Chapter 1. Introduction to Group Theory for Non-Rigid Molecules; 1. Introduction; 2. The Non-Rigid Group Theories; 3. Non-Rigid Molecule Groups for Systems with One, Two, and Three Degrees of Freedom; 4. Non-Rigid Molecule Groups for C3v Rotor Molecules; 5. Comparison between the Longuet-Higgins', Altmann's, and Non-Rigid Groups; 6. Further Comparisons; 7. Local Non-Rigid Groups: The Local Hamiltonian Operator; 8. Local Non-Rigid Group for C3v Rotor Molecules 9. Restricted and Local Non-Rigid Groups10. Applications; 11. Concluding Remarks; Acknowledgments; References; Chapter 2. Some Studies of the General Hartree-Fock Method; 1. History of the General Hartree-Fock Method; 2. The General Hartree-Fock Equations; Separation of Space and Spin; the MO-LCAO-approach; 3. AppIications of the General Hartree-Fock Theory to Some Atoms and the BH Molecule; 4. A Study of the Hessians in the Hartree-Fock Scheme; 5. Concluding Remarks; References; Chapter 3. Many Center AO Integral Evaluation Using Cartesian Exponential Type Orbitals (CETO'S)1 1. Introduction: Brief Historical Background, General Intentions, and Method2. Exponential Type Orbitals; 3. Practical Details on CETO Products; 4. Two Center Expnssion of a CETO Function product; 5. Expansion of the Product of Two Exponential Functions Centered at A and B; 6. Integrals over One-Electron Operators; 7. Integrals over Two-Electron Operators; 8. Conclusions and Prospects of Future; Acknowledgments; References; Chapter 4. Equivalence of Mathematical Objects of Interest in Chemistry and Physics; 1. Abstract; 2. Introduction; 3. Equivalent Alternative Models; 4. Applications 5. NotesReferences; Index Abstract: ADVANCES IN QUANTUM CHEMISTRY VOL 24 Z Content: Editorial Board Page ii Edited by Page iii Copyright page Page iv Contributors Page vii Preface Pages ix-x Per-Ouiv Löwdin Introduction to Group Theory for Non-Rigid Molecules Original Research Article Pages 1-77 Yves G. Smeyers Some Studies of the General Hartree-Fock Method Original Research Article Pages 79-114 Per-Olov Löwdin, István Mayer Many Center AO Integral Evaluation Using Cartesian Exponential Type Orbitals (CETO'S) Original Research Article Pages 115-237 Ramon Carbó, Emili Besalú Equivalence of Mathematical Objects of Interest in Chemistry and Physics Original Research Article Pages 239-290 Sherif El-Basil, Milan Randić Index Pages 291-298 Advances in Quantum Chemistry is a survey of current developments in a field of investigation that falls between the historically established areas of mathematics, physics, chemistry and biology. With articles written by international researchers, the series aims to provide a single vehicle for following progress in this borderline area. Each volume of "Advances in Quantum Chemistry" contains an index and each chapter includes references. This book is intended for use by atomic and molecular structure physicists, chemists and spectroscopists in chemistry and physics departments and in industry. A survey of current developments in a field of investigation that falls between the historically established area of mathematics, physics, chemistry and biology. This volume includes chapters on group theory for non-rigid molecules and the General Hartree-Fock method. The problem of symmetry breaking (SB) is well known and multiply discussed in literature.