Perspectives in Electronic Structure Theory
Title | Perspectives in Electronic Structure Theory PDF eBook |
Author | Roman F. Nalewajski |
Publisher | Springer Science & Business Media |
Pages | 727 |
Release | 2012-03-23 |
Genre | Science |
ISBN | 3642201806 |
The understanding in science implies insights from several different points of view. Alternative modern outlooks on electronic structure of atoms and molecules, all rooted in quantum mechanics, are presented in a single text. Together these complementary perspectives provide a deeper understanding of the localization of electrons and bonds, the origins of chemical interaction and reactivity behavior, the interaction between the geometric and electronic structure of molecules, etc. In the opening two parts the basic principles and techniques of the contemporary computational and conceptual quantum chemistry are presented, within both the wave-function and electron-density theories. This background material is followed by a discussion of chemical concepts, including stages of the bond-formation processes, chemical valence and bond-multiplicity indices, the hardness/softness descriptors of molecules and reactants, and general chemical reactivity/stability principles. The insights from Information Theory, the basic elements of which are briefly introduced, including the entropic origins and Orbital Communication Theory of the chemical bond, are the subject of Part IV. The importance of the non-additive (interference) information tools in exploring patterns of chemical bonds and their covalent and ionic components will be emphasized.
Molecular Electronic-Structure Theory
Title | Molecular Electronic-Structure Theory PDF eBook |
Author | Trygve Helgaker |
Publisher | John Wiley & Sons |
Pages | 949 |
Release | 2014-08-11 |
Genre | Science |
ISBN | 1119019559 |
Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.
Modern Electronic Structure Theory
Title | Modern Electronic Structure Theory PDF eBook |
Author | David Yarkony |
Publisher | World Scientific |
Pages | 772 |
Release | 1995 |
Genre | Science |
ISBN | 9789810229870 |
Modern Electronic Structure Theory provides a didactically oriented description of the latest computational techniques in electronic structure theory and their impact in several areas of chemistry. The book is aimed at first year graduate students or college seniors considering graduate study in computational chemistry, or researchers who wish to acquire a wider knowledge of this field.
A Mathematical Introduction to Electronic Structure Theory
Title | A Mathematical Introduction to Electronic Structure Theory PDF eBook |
Author | Lin Lin |
Publisher | SIAM |
Pages | 127 |
Release | 2019-06-05 |
Genre | Mathematics |
ISBN | 1611975808 |
Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.
Modern Electronic Structure Theory (In 2 Parts) - Part 2
Title | Modern Electronic Structure Theory (In 2 Parts) - Part 2 PDF eBook |
Author | David R Yarkony |
Publisher | World Scientific |
Pages | 785 |
Release | 1995-09-28 |
Genre | Science |
ISBN | 9814504459 |
Modern Electronic Structure Theory provides a didactically oriented description of the latest computational techniques in electronic structure theory and their impact in several areas of chemistry. The book is aimed at first year graduate students or college seniors considering graduate study in computational chemistry, or researchers who wish to acquire a wider knowledge of this field.
Modern Electronic Structure Theory
Title | Modern Electronic Structure Theory PDF eBook |
Author | D. R. Yarkony |
Publisher | World Scientific |
Pages | 785 |
Release | 1995 |
Genre | Science |
ISBN | 9812832114 |
Modern Electronic Structure Theory provides a didactically oriented description of the latest computational techniques in electronic structure theory and their impact in several areas of chemistry. The book is aimed at first year graduate students or college seniors considering graduate study in computational chemistry, or researchers who wish to acquire a wider knowledge of this field.
Modern Electronic Structure Theory (In 2 Parts) - Part 1
Title | Modern Electronic Structure Theory (In 2 Parts) - Part 1 PDF eBook |
Author | David R Yarkony |
Publisher | World Scientific |
Pages | 766 |
Release | 1995-09-28 |
Genre | Science |
ISBN | 9814504440 |
Modern Electronic Structure Theory provides a didactically oriented description of the latest computational techniques in electronic structure theory and their impact in several areas of chemistry. The book is aimed at first year graduate students or college seniors considering graduate study in computational chemistry, or researchers who wish to acquire a wider knowledge of this field.