Simple Theorems, Proofs, and Derivations in Quantum Chemistry
Title | Simple Theorems, Proofs, and Derivations in Quantum Chemistry PDF eBook |
Author | Istvan Mayer |
Publisher | Springer Science & Business Media |
Total Pages | 341 |
Release | 2013-04-17 |
Genre | Science |
ISBN | 1475765193 |
Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.
Quantum Chemistry
Title | Quantum Chemistry PDF eBook |
Author | John Lowe |
Publisher | Elsevier |
Total Pages | 618 |
Release | 2012-12-02 |
Genre | Science |
ISBN | 0323141161 |
Quantum Chemistry covers the basic principles, methods, and results of quantum chemistry, providing insights on electron behavior. This book is organized into 14 chapters that focus on ground state molecular orbital theory. After briefly dealing with some of the concepts of classical physics, the book goes on describing some simple but important particle systems. It then examines several systems with discontinuous potential energies, such as the simple harmonic oscillator and the hydrogen-like ion system. A chapter presents a set of postulates and theorems that form the formal foundation of quantum mechanics. Considerable chapters are devoted to various quantum chemical methods, as well as their basic features and application to molecular orbital evaluation. These methods include Huckel molecular orbital, variation, linear variation, extended Huckel, and SCF-LCAO-MO. The concluding chapters deal with the development of theories for molecular orbital, including time-independent Rayleigh-Schrodinger perturbation, group, and qualitative molecular orbital theories. Supplemental texts of the more complicated derivations or proofs and problems encountered in quantum chemistry are also provided. This book is an introductory text intended for organic, inorganic, and physical chemists, as well as for graduate and undergraduate students.
Ideas of Quantum Chemistry
Title | Ideas of Quantum Chemistry PDF eBook |
Author | Lucjan Piela |
Publisher | Elsevier |
Total Pages | 798 |
Release | 2020-01-11 |
Genre | Science |
ISBN | 0444642471 |
Ideas of Quantum Chemistry, Volume One: From Quantum Physics to Chemistry shows how quantum mechanics is applied to molecular sciences to provide a theoretical foundation. Organized into digestible sections and written in an accessible style, it answers questions, highlighting the most important conclusions and essential mathematical formulae. Beginning with an introduction to the magic of quantum mechanics, the book goes on to review such key topics as the Schrödinger Equation, exact solutions, and fundamental approximate methods. The crucial concept of molecular shape is then discussed, followed by the motion of nuclei and the orbital model of electronic structure. This updated volume covers the latest developments in the field and can be used either on its own as a detailed introduction to quantum chemistry or in combination with Volume Two to give a complete overview of the field. Provides fully updated coverage on an extensive range of both foundational and complex topics Uses an innovative structure to emphasize relationships between topics and help readers tailor their own path through the book Includes new sections on Time-Energy Uncertainty and Virial Theorem
Advances in Quantum Chemistry
Title | Advances in Quantum Chemistry PDF eBook |
Author | |
Publisher | Elsevier |
Total Pages | 400 |
Release | 2023-09-28 |
Genre | Science |
ISBN | 0443186642 |
Advances in Quantum Chemistry, Volume 88 presents the latest ongoing research at the forefront of Electronic structure theory. Chapters in the updated release include Spin-constrained Hartree-Fock and the generator coordinate method for the 2-site Hubbard model, Analytical evaluation of Hylleraas-CI Coulomb and Hybrid two-center Integrals over Slater orbitals, Hartree-Fock-Roothaan Theory of Molecular Compton Profiles Via Position Space Method, Analysis of Research Trend on the Molecular Integrals Over Slater Type Orbitals, An efficient approximation for accelerating convergence of numerical power series, Results for the 1D-Schroedinger equation, The aims and objectives of algebraic molecular orbital theory, and much more. Includes new theoretical methods Provides state-of-the art electron correlation, methods and effects Covers the challenge of excited electronic states
Multiconfigurational Quantum Chemistry
Title | Multiconfigurational Quantum Chemistry PDF eBook |
Author | Björn O. Roos |
Publisher | John Wiley & Sons |
Total Pages | 240 |
Release | 2016-08-08 |
Genre | Science |
ISBN | 0470633468 |
The first book to aid in the understanding of multiconfigurational quantum chemistry, Multiconfigurational Quantum Chemistry demystifies a subject that has historically been considered difficult to learn. Accessible to any reader with a background in quantum mechanics and quantum chemistry, the book contains illustrative examples showing how these methods can be used in various areas of chemistry, such as chemical reactions in ground and excited states, transition metal and other heavy element systems. The authors detail the drawbacks and limitations of DFT and coupled-cluster based methods and offer alternative, wavefunction-based methods more suitable for smaller molecules.
Quantum Chemistry
Title | Quantum Chemistry PDF eBook |
Author | John P. Lowe |
Publisher | Elsevier |
Total Pages | 732 |
Release | 2012-12-02 |
Genre | Science |
ISBN | 0080515541 |
Praised for its appealing writing style and clear pedagogy, Lowe's Quantum Chemistry is now available in its Second Edition as a text for senior undergraduate- and graduate-level chemistry students. The book assumes little mathematical or physical sophistication and emphasizes an understanding of the techniques and results of quantum chemistry, thus enabling students to comprehend much of the current chemical literature in which quantum chemical methods or concepts are used as tools. The book begins with a six-chapter introduction of standard one-dimensional systems, the hydrogen atom, many-electron atoms, and principles of quantum mechanics. It then provides thorough treatments of variation and perturbation methods, group theory, ab initio theory, Huckel and extended Huckel methods, qualitative MO theory, and MO theory of periodic systems. Chapters are completed with exercises to facilitate self-study. Solutions to selected exercises are included. Assumes little mathematical or physical sophistication Emphasizes understanding of the techniques and results of quantum chemistry Includes improved coverage of time-dependent phenomena, term symbols, and molecular rotation and vibration Provides a new chapter on molecular orbital theory of periodic systems Features new exercise sets with solutions Includes a helpful new appendix that compiles angular momentum rules from operator algebra
Advanced Structural Inorganic Chemistry
Title | Advanced Structural Inorganic Chemistry PDF eBook |
Author | Wai-Kee Li |
Publisher | OUP Oxford |
Total Pages | 848 |
Release | 2008-03-27 |
Genre | Science |
ISBN | 0191527149 |
This book is a revised and updated English edition of a textbook that has grown out of several years of teaching. The term "inorganic" is used in a broad sense as the book covers the structural chemistry of representative elements (including carbon) in the periodic table, organometallics, coordination polymers, host-guest systems and supramolecular assemblies. Part I of the book reviews the basic bonding theories, including a chapter on computational chemistry. Part II introduces point groups and space groups and their chemical applications. Part III comprises a succinct account of the structural chemistry of the elements in the periodic table. It presents structure and bonding, generalizations of structural trends, crystallographic data, as well as highlights from the recent literature.