A General SCF Theory
We live in a molecular world, almost closed shell in nature, and for this reason Chemistry has been a science dealing with closed shell mol ecules. However, the high degree of experimental sophistication reached in the past decade has made more apparent the role of open shell structures in chemical...
Main Authors: | , |
---|---|
Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1978, 1978
|
Edition: | 1st ed. 1978 |
Series: | Lecture Notes in Chemistry
|
Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Historical Review
- 1. The Open Shell Development
- 2. The Multiconfigurational Scheme
- II. Electronic Energy, Fock Operators and Coupling Operators
- 1. Introduction
- 2. General Energy Expression
- 3. General Coulomb and Exchange Operators
- 4. Energy and Lagrangian Variation: Fock Operators and Euler Equations
- 5. Coupling Operator
- 6. Null Gradient Coupling Operator Part
- 7. Lagrange multipliers Hermitean Condition Coupling Operator Part
- 8. LCAO Form of Coupling Operator
- 9. Simplified Energy Forms. Monoconfigurational Open Shell
- 10. Closed Shell
- 11. Corollary
- III. Eigenspace Manipulations
- 1. Introduction
- 2. General Formalism
- 3. Unconditional Convergence in SCF Procedures: Level Shift Techniques
- IV. Multiconfigurational Structure of Monoconfigurational SCF Procedures
- 1. Monoconfigurational Energy and Euler Equations
- 2. Results
- 3. Final Remarks
- V. Paired Excitation Multiconfigurational SCF
- X. The Problem of the Helium Atom First Excited Singlet State
- 1. A Possible Solution
- 2. The “Triplet Catastrophe”
- 3. Further Analysis of the “The Triplet Catastrophe”
- 4. Some Results on Monoconfigurational He SCF
- XI. Applications
- 1. Introduction
- 2. SCF Study of Water: Ground and Excited States
- 3. Paired Excitation Calculation on Water
- 4. Formaldehyde
- 5. Magnesium Oxyde
- 6. Nitrogen Dioxyde
- 7. Methanol
- 8. Diimine
- 9. Methylenimine
- 10. Glycine
- 11. Excited States of Some Molecules with C=O and C=N Bonds: INDO Procedure
- Appendix A: Monoconfigurational State Parameters
- Appendix B: Slater Rules
- Appendix C: Multiconfigurational Fock Operators
- Suggested Reading
- Bibliographical Survey
- A. Open Shell SCF Theory
- B. Multiconfigurational SCF Theory
- 1. Closed Shell MCPESCF Theory
- 2. Complete MCPE Energy Expression
- 3. Two Electron Systems
- 4. MCPESCF Theory with an Invariant Closed Shell
- 5. Open Shell PEMCSCF
- 6. Special Cases
- VI. SCF Perturbation Theory
- 1. Perturbation Theory
- 2. Open Shell SCF Theory
- 3. Interaction of Two Molecules as an Application Example
- VII. General Theory for Two and Three Electron Systems
- 1. Two Electron Systems
- 2. Three Electron Systems
- VIII. Approximate SCF Theories
- 1. Atomic Orbital Representation
- 2. Decomposition of the Electronic Repulsion Matrix
- 3. Empirical Approximate Methods
- 4. Model Potentials: Huzinaga’s Approach
- IX. Miscellaneous Remarks
- 1. A Synthetic Approach
- 2. The Concept of Shell
- 3. Symmetry
- 4. Optimization of Non-Linear Parameters
- 5. Generalized Brillouin’s Theorem and Off-Diagonal Hermitean Conditions onLagrange Multipliers
- 6. Error Analysis
- 7. Mathematical Structure of SCF