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Recent Advances in Coupled-cluster Methods

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Author :
Release : 1997
Genre : Science
Kind : eBook
Book Rating : 125/5 ( reviews)

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Book Synopsis Recent Advances in Coupled-cluster Methods by : Rodney J. Bartlett

Download or read book Recent Advances in Coupled-cluster Methods written by Rodney J. Bartlett. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: Today, coupled-cluster (CC) theory has emerged as the most accurate, widely applicable approach for the correlation problem in molecules. Furthermore, the correct scaling of the energy and wavefunction with size (i.e. extensivity) recommends it for studies of polymers and crystals as well as molecules. CC methods have also paid dividends for nuclei, and for certain strongly correlated systems of interest in field theory.In order for CC methods to have achieved this distinction, it has been necessary to formulate new, theoretical approaches for the treatment of a variety of essential quantities. These include properties and, particularly, analytical first derivatives (gradients) that readily provide the forces on the atoms in a molecule to facilitate searching potential energy surfaces for structures and transition states; second derivatives (Hessians) which indicate the type of extremum point and provide vibrational frequencies and intensities; excited, ionized, and electron attached states including their properties; multi-configurational reference functions to add important non-dynamic correlation; and relativistic effects.This book addresses very recent work in each of the above topics in ten chapters written by leading experts in molecular CC theory. This is NOT a collection of reviews, but is, instead, forefront research explained in an unusually clear exposition. Each chapter presents new results and formulations that offer another step toward providing the next generation of powerful CC solutions.The gap that often exists between text books and research can be more of a chasm in highly technical fields like CC theory, but this volume helps to fill the void, as it provides a sequel to a graduate level course in CC theory and many-electron methods. Essentially all current directions for new research are well represented in the authoritative articles.

Recent Progress in Coupled Cluster Methods

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Release : 2010-07-03
Genre : Science
Kind : eBook
Book Rating : 854/5 ( reviews)

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Book Synopsis Recent Progress in Coupled Cluster Methods by : Petr Cársky

Download or read book Recent Progress in Coupled Cluster Methods written by Petr Cársky. This book was released on 2010-07-03. Available in PDF, EPUB and Kindle. Book excerpt: I feel very honored that I have been asked to write a Foreword to this book. The subject of the book – “Coupled cluster theory” – has been around for about half a century. The basic theory and explicit equations for closed-shell ground states were formulated before 1970. At the beginning of the seventies the rst ab initio calcu- tion were carried out. At that time speed and memory of computers were very limited compared to today’s standards. Moreover, the size of one-electron bases employed was small, so that it was only possible to achieve an orientation in methodical aspects rather than to generate new signi cant results. Extensive use of the coupled-cluster method started at the beginning of the eighties. With the help of more powerful computers the results of coupled-cluster approaches started to yield more and more interesting results of relevance to the interpretation of experimental data. New ideas in methodology kept appearing and computer codes became more and more ef cient. This exciting situation continues to this very day. Remarkably enough, even the - quired equations can now be generated by a computer with the help of symbolic languages. The size of this monograph and the rich variety of articles it contains attests to the usefulness and viability of the couple-cluster formalism for the h- dling of many-electron correlation effects. This represents a vivid testimony of a tremendous work that has been accomplished in coupled-cluster methodology and its exploitation.

Recent Advances in Multireference Methods

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Release : 1999
Genre : Science
Kind : eBook
Book Rating : 776/5 ( reviews)

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Book Synopsis Recent Advances in Multireference Methods by : Kimihiko Hirao

Download or read book Recent Advances in Multireference Methods written by Kimihiko Hirao. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: Recently, accurate ab initio quantum computational chemistry has evolved dramatically. In particular, the development of multireference-based approaches has opened up a whole new area and has also had a profound impact on the potential of theoretical chemistry. The multiconfigurational SCF (MCSCF)/CASSCF method is an attempt to generalize the Hartree-Fock (HF) model and to treat real chemical processes, where nondynamic correlation is important, while keeping the conceptual simplicity of the HF model as much as possible. Although MCSCF/CASSCF itself does not include dynamic correlations, it provides a good starting point for such studies. There are three approaches to handling dynamic correlations. Beginning with the MSSCF/CASSCF wave function, they are the variational (MRCI), perturbational (MRPT) and cluster expansion (MRCC) approaches. This important book presents the most recent and important developments in multireference-based approaches and their applications. Its main purpose is to highlight essential aspects of the frontiers of multireference theory and provide readers with the fundamental knowledge necessary for further development.

Modern Electronic Structure Theory

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Author :
Release : 1995
Genre : Science
Kind : eBook
Book Rating : 114/5 ( reviews)

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Book Synopsis Modern Electronic Structure Theory by : D. R. Yarkony

Download or read book Modern Electronic Structure Theory written by D. R. Yarkony. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Many-Body Methods in Chemistry and Physics

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Release : 2009-08-06
Genre : Science
Kind : eBook
Book Rating : 32X/5 ( reviews)

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Book Synopsis Many-Body Methods in Chemistry and Physics by : Isaiah Shavitt

Download or read book Many-Body Methods in Chemistry and Physics written by Isaiah Shavitt. This book was released on 2009-08-06. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the mathematical and diagrammatic techniques employed in the popular many-body methods to determine molecular structure, properties and interactions.

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