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Recent Advances In Coupled-cluster Methods -

Recent Advances In Coupled-cluster Methods

Rodney J Bartlett (Herausgeber)

Buch | Hardcover
340 Seiten
1997
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3112-5 (ISBN)
CHF 199,95 inkl. MwSt
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This work covers such areas as 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; and relativistic effects.
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.

CC-R12 - an explicitly correlated coupled-cluster theory; analytic evaluation of second derivatives of the energy; computational strategies for the CCSD and CDSD(T) approximations; towards state-specific formulation of multireference coupled-cluster theory coupled electron pair approximations (CEPA) leading to multireference configuration interaction (MR-CI) type equations; relativistic coupled cluster - method and applications; a state-specific multi-reference coupled cluster approach for treating quasi-degeneracy; unitary group based coupled cluster methods and calculation of molecular properties; single reference coupled cluster and perturbation theories of electronic excitation energies; analytic coupled cluster based response approach using multitude-terminantal model space; spin adaptations in the open shell coupled cluster theory with a single determinant restricted Hartree-Fock reference; multi-reference self-consistent size-extensive configuration interaction (CI) - a bridge between the coupled-cluster method and the CI method.

Erscheint lt. Verlag 14.5.1997
Reihe/Serie Recent Advances In Computational Chemistry ; 3
Mitarbeit Herausgeber (Serie): Delano Pun Chong
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Naturwissenschaften Chemie Physikalische Chemie
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
ISBN-10 981-02-3112-1 / 9810231121
ISBN-13 978-981-02-3112-5 / 9789810231125
Zustand Neuware
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