Graph-theory Based Molecular Fragmentation Algorithms for Classical and Quantum Computing of Potential Energy Surfaces PDF Download
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Author: Anup Kumar (Chemist)
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 0
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Book Description
The quantum mechanical treatment of electrons and nuclei is considered to be a challenging exponential scaling problem at the forefront of computational science. Specifically, the accurate study of electronic structure in molecular systems is known tobe steeply algebraic in its computational scaling; additionally, the quantum mechanical treatment of nuclear degrees of freedom is thought to scale exponentially with size of system. Furthermore, quantum nuclear effects such as tunneling and zero-point effects play a critical role in several biological, atmospheric, and materials science problems. Hence, it has become increasingly clear that light nuclei such as protons may require quantum mechanical treatment, while also treating the electronic structure in a accurate manner. The goal of the work in this thesis is to introduce a family of accurate and efficient computational methods that reduce the computational cost of quantum treatment of nuclear degrees of freedom while incorporating extremely accurate electron correlation effects. This work takes a critical step towards addressing a grand-challenge for computational chemistry that has deep implications in the study of several materials and biological problems. Here, we present a multi-graph-theory-based adaptive molecular fragmentation method to effectively reduce the scaling of both the electronic and the quantum nuclear problems. A molecular system is divided into a set of graph-theoretic nodes that are connected to form a graph. The local interactions in the molecular system are included by considering all geometric objects within the graph as these represent many-body interactions between the various parts of the molecular system. for implementation on novel quantum hardware systems.
Author: Anup Kumar (Chemist)
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 0
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Book Description
The quantum mechanical treatment of electrons and nuclei is considered to be a challenging exponential scaling problem at the forefront of computational science. Specifically, the accurate study of electronic structure in molecular systems is known tobe steeply algebraic in its computational scaling; additionally, the quantum mechanical treatment of nuclear degrees of freedom is thought to scale exponentially with size of system. Furthermore, quantum nuclear effects such as tunneling and zero-point effects play a critical role in several biological, atmospheric, and materials science problems. Hence, it has become increasingly clear that light nuclei such as protons may require quantum mechanical treatment, while also treating the electronic structure in a accurate manner. The goal of the work in this thesis is to introduce a family of accurate and efficient computational methods that reduce the computational cost of quantum treatment of nuclear degrees of freedom while incorporating extremely accurate electron correlation effects. This work takes a critical step towards addressing a grand-challenge for computational chemistry that has deep implications in the study of several materials and biological problems. Here, we present a multi-graph-theory-based adaptive molecular fragmentation method to effectively reduce the scaling of both the electronic and the quantum nuclear problems. A molecular system is divided into a set of graph-theoretic nodes that are connected to form a graph. The local interactions in the molecular system are included by considering all geometric objects within the graph as these represent many-body interactions between the various parts of the molecular system. for implementation on novel quantum hardware systems.
Author: Ralph E. Christoffersen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
Author: Errol G. Lewars
Publisher: Springer Science & Business Media
ISBN: 0306483912
Category : Science
Languages : en
Pages : 474
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Book Description
Computational chemistry has become extremely important in the last decade, being widely used in academic and industrial research. Yet there have been few books designed to teach the subject to nonspecialists. Computational Chemistry: Introduction to the Theory and Applications of Molecular and Quantum Mechanics is an invaluable tool for teaching and researchers alike. The book provides an overview of the field, explains the basic underlying theory at a meaningful level that is not beyond beginners, and it gives numerous comparisons of different methods with one another and with experiment. The following concepts are illustrated and their possibilities and limitations are given: - potential energy surfaces; - simple and extended Hückel methods; - ab initio, AM1 and related semiempirical methods; - density functional theory (DFT). Topics are placed in a historical context, adding interest to them and removing much of their apparently arbitrary aspect. The large number of references, to all significant topics mentioned, should make this book useful not only to undergraduates but also to graduate students and academic and industrial researchers.
Author: Danail D. Bonchev
Publisher: Springer Science & Business Media
ISBN: 9401112029
Category : Science
Languages : en
Pages : 291
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Book Description
The progress in computer technology during the last 10-15 years has enabled the performance of ever more precise quantum mechanical calculations related to structure and interactions of chemical compounds. However, the qualitative models relating electronic structure to molecular geometry have not progressed at the same pace. There is a continuing need in chemistry for simple concepts and qualitatively clear pictures that are also quantitatively comparable to ab initio quantum chemical calculations. Topological methods and, more specifically, graph theory as a fixed-point topology, provide in principle a chance to fill this gap. With its more than 100 years of applications to chemistry, graph theory has proven to be of vital importance as the most natural language of chemistry. The explosive development of chemical graph theory during the last 20 years has increasingly overlapped with quantum chemistry. Besides contributing to the solution of various problems in theoretical chemistry, this development indicates that topology is an underlying principle that explains the success of quantum mechanics and goes beyond it, thus promising to bear more fruit in the future.
Author: Pavlo O. Dral
Publisher: Elsevier
ISBN: 0323886043
Category : Science
Languages : en
Pages : 702
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Book Description
Quantum chemistry is simulating atomistic systems according to the laws of quantum mechanics, and such simulations are essential for our understanding of the world and for technological progress. Machine learning revolutionizes quantum chemistry by increasing simulation speed and accuracy and obtaining new insights. However, for nonspecialists, learning about this vast field is a formidable challenge. Quantum Chemistry in the Age of Machine Learning covers this exciting field in detail, ranging from basic concepts to comprehensive methodological details to providing detailed codes and hands-on tutorials. Such an approach helps readers get a quick overview of existing techniques and provides an opportunity to learn the intricacies and inner workings of state-of-the-art methods. The book describes the underlying concepts of machine learning and quantum chemistry, machine learning potentials and learning of other quantum chemical properties, machine learning-improved quantum chemical methods, analysis of Big Data from simulations, and materials design with machine learning. Drawing on the expertise of a team of specialist contributors, this book serves as a valuable guide for both aspiring beginners and specialists in this exciting field. Compiles advances of machine learning in quantum chemistry across different areas into a single resource Provides insights into the underlying concepts of machine learning techniques that are relevant to quantum chemistry Describes, in detail, the current state-of-the-art machine learning-based methods in quantum chemistry
Author: Trygve Helgaker
Publisher: John Wiley & Sons
ISBN: 1119019559
Category : Science
Languages : en
Pages : 949
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Book Description
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.
Author: Harald Ibach
Publisher: Springer Science & Business Media
ISBN: 3540347100
Category : Science
Languages : en
Pages : 653
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Book Description
This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309102707
Category : Science
Languages : en
Pages : 245
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Book Description
As part of the Physics 2010 decadal survey project, the Department of Energy and the National Science Foundation requested that the National Research Council assess the opportunities, over roughly the next decade, in atomic, molecular, and optical (AMO) science and technology. In particular, the National Research Council was asked to cover the state of AMO science, emphasizing recent accomplishments and identifying new and compelling scientific questions. Controlling the Quantum World, discusses both the roles and challenges for AMO science in instrumentation; scientific research near absolute zero; development of extremely intense x-ray and laser sources; exploration and control of molecular processes; photonics at the nanoscale level; and development of quantum information technology. This book also offers an assessment of and recommendations about critical issues concerning maintaining U.S. leadership in AMO science and technology.
Author: Kristof T. Schütt
Publisher: Springer Nature
ISBN: 3030402452
Category : Science
Languages : en
Pages : 473
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Book Description
Designing molecules and materials with desired properties is an important prerequisite for advancing technology in our modern societies. This requires both the ability to calculate accurate microscopic properties, such as energies, forces and electrostatic multipoles of specific configurations, as well as efficient sampling of potential energy surfaces to obtain corresponding macroscopic properties. Tools that can provide this are accurate first-principles calculations rooted in quantum mechanics, and statistical mechanics, respectively. Unfortunately, they come at a high computational cost that prohibits calculations for large systems and long time-scales, thus presenting a severe bottleneck both for searching the vast chemical compound space and the stupendously many dynamical configurations that a molecule can assume. To overcome this challenge, recently there have been increased efforts to accelerate quantum simulations with machine learning (ML). This emerging interdisciplinary community encompasses chemists, material scientists, physicists, mathematicians and computer scientists, joining forces to contribute to the exciting hot topic of progressing machine learning and AI for molecules and materials. The book that has emerged from a series of workshops provides a snapshot of this rapidly developing field. It contains tutorial material explaining the relevant foundations needed in chemistry, physics as well as machine learning to give an easy starting point for interested readers. In addition, a number of research papers defining the current state-of-the-art are included. The book has five parts (Fundamentals, Incorporating Prior Knowledge, Deep Learning of Atomistic Representations, Atomistic Simulations and Discovery and Design), each prefaced by editorial commentary that puts the respective parts into a broader scientific context.
Author: Wolfgang Domcke
Publisher: World Scientific
ISBN: 9814483753
Category : Science
Languages : en
Pages : 857
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Book Description
It is widely recognized nowadays that conical intersections of molecular potential-energy surfaces play a key mechanistic role in the spectroscopy of polyatomic molecules, photochemistry and chemical kinetics. This invaluable book presents a systematic exposition of the current state of knowledge about conical intersections, which has been elaborated in research papers scattered throughout the chemical physics literature.Section I of the book provides a comprehensive analysis of the electronic-structure aspects of conical intersections. Section II shows the importance of conical intersections in chemical reaction dynamics and gives an overview of the computational techniques employed to describe the dynamics at conical intersections. Finally, Section III deals with the role of conical intersections in the fields of molecular spectroscopy and laser control of chemical reaction dynamics.This book has been selected for coverage in:• CC / Physical, Chemical & Earth Sciences• Chemistry Citation Index(tm)• Index to Scientific Book Contents® (ISBC)
