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Concepts and Methods in Modern Theoretical Chemistry, Two Volume Set: Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and Reactivity PDF

489 Pages·2013·16.85 MB·English
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Atoms, Molecules, and Clusters CHEMISTRY CONCEPTS AND METHODS IN MODERN CONCEPTS AND THEORETICAL CHEMISTRY METHODS IN MODERN ELECTRONIC STRUCTURE AND REACTIVITY THEORETICAL CHEMISTRY Concepts and Methods in Modern Theoretical Chemistry: Electronic ELECTRONIC STRUCTURE AND REACTIVITY Structure and Reactivity, the first book in a two-volume set, focuses on the structure and reactivity of systems and phenomena. A new addition to the series Atoms, Molecules, and Clusters, this book offers chapters written by experts in their fields. It enables readers to learn how concepts from ab initio quantum chemistry and density functional theory (DFT) can be used to describe, understand, and predict electronic structure and chemical reactivity. This book covers a wide range of subjects, including discussions on the following topics: • DFT, particularly the functional and conceptual aspects • Excited states, molecular electrostatic potentials, and intermolecular interactions • General theoretical aspects and application to molecules • Clusters and solids, electronic stress, and electron affinity difference • The information theory and the virial theorem • New periodic tables • The role of the ionization potential Although most of the chapters are written at a level that is accessible to senior graduate students, experienced researchers will also find interesting new insights in these experts’ perspectives. This comprehensive book provides an invaluable EDITED BY resource toward understanding the whole gamut of atoms, molecules, and clusters. Swapan Kumar Ghosh K14558 Pratim Kumar Chattaraj ISBN: 978-1-4665-0528-5 90000 9 781466 505285 K14558_Cover_mech.indd 1 1/14/13 11:20 AM ConCepts and Methods in Modern theoretiCal CheMistry ElEctronic structurE and rEactivity A , m , c toms olecules And lusters Structure, Reactivity, and Dynamics Series Editor: Pratim Kumar Chattaraj Aromaticity and Metal Clusters Edited by Pratim Kumar Chattaraj Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and Reactivity Edited by Swapan Kumar Ghosh and Pratim Kumar Chattaraj Concepts and Methods in Modern Theoretical Chemistry: Statistical Mechanics Edited by Swapan Kumar Ghosh and Pratim Kumar Chattaraj Quantum Trajectories Edited by Pratim Kumar Chattaraj Atoms, Molecules, and Clusters ConCepts and Methods in Modern theoretiCal CheMistry ElEctronic structurE and rEactivity EditEd by Swapan Kumar Ghosh Pratim Kumar Chattaraj Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2013 by © 2013 by © 2013 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20130109 International Standard Book Number-13: 978-1-4665-0531-5 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmit- ted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright. com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Series Preface ............................................................................................................ix Foreword ...................................................................................................................xi Preface....................................................................................................................xiii Reminiscences .........................................................................................................xv Editors .....................................................................................................................xix Contributors ............................................................................................................xxi An Interview with B. M. Deb ................................................................................xxv Chapter 1 Kinetic Energy Functionals of Electron Density and Pair Density .....1 Debajit Chakraborty and Paul W. Ayers Chapter 2 Quantum Adiabatic Switching and Supersymmetric Approach to Excited States of Nonlinear Oscillators .........................................43 Susmita Kar and S. P. Bhattacharyya Chapter 3 Isomorphic Local Hardness and Possible Local Version of Hard–Soft Acids–Bases Principle ......................................................65 Carlos Cárdenas and Patricio Fuentealba Chapter 4 Quantum Chemistry of Highly Symmetrical Molecules and Free-Space Clusters, Plus Almost Spherical Cages of C and B Atoms ..............................................................................................79 N. H. March and G. G. N. Angilella Chapter 5 Energy Functionals for Excited States ...............................................99 M. K. Harbola, M. Hemanadhan, Md. Shamim, and P. Samal Chapter 6 Benchmark Studies of Spectroscopic Parameters for Hydrogen Halide Series via Scalar Relativistic State-Specific Multireference Perturbation Theory ................................................119 Avijit Sen, Lan Cheng, and Debashis Mukherjee Chapter 7 Local Virial Theorem for Ensembles of Excited States ...................135 Á. Nagy v vi Contents Chapter 8 Information-Theoretic Probes of Chemical Bonds ..........................143 Roman F. Nalewajski Chapter 9 Molecular Electrostatic Potentials: Some Observations ..................181 Peter Politzer and Jane S. Murray Chapter 10 Extending the Domain of Application of Constrained Density Functional Theory to Large Molecular Systems ..............................201 Aurélien de la Lande, Dennis R. Salahub, and Andreas M. Köster Chapter 11 Spin and Orbital Physics of Alkali Superoxides: p-Band Orbital Ordering ...........................................................................................221 Ashis Kumar Nandy, Priya Mahadevan, and D. D. Sarma Chapter 12 Electronic Stress with Spin Vorticity ...............................................235 Akitomo Tachibana Chapter 13 Single Determinantal Approximations: Hartree–Fock, Optimized Effective Potential Theory, Density Functional Theory ....................253 Andreas K. Theophilou Chapter 14 Analysis of Generalized Gradient Approximation for Exchange Energy ..............................................................................................295 José L. Gázquez, Jorge M. del Campo, Samuel B. Trickey, Rodrigo J. Alvarez-Mendez, and Alberto Vela Chapter 15 Intermolecular Interactions through Energy Decomposition: A Chemist’s Perspective ...................................................................313 R. Mahesh Kumar, Dolly Vijay, G. Narahari Sastry, and V. Subramanian Chapter 16 Perfectly Periodic Table of Elements in Nonrelativistic Limit of Large Atomic Number .....................................................................345 John P. Perdew Chapter 17 Quantum Similarity .........................................................................349 Ramon Carbó-Dorca Contents vii Chapter 18 Electronic Excitation Energies of Molecular Systems from the Bethe–Salpeter Equation: Example of the H Molecule ..................367 2 Elisa Rebolini, Julien Toulouse, and Andreas Savin Chapter 19 Semiquantitative Aspects of Density-Based Descriptors and Molecular Interactions: A More Generalized Local Hard–Soft Acid–Base Principle .........................................................................391 K. R. S. Chandrakumar, Rahul Kar, and Sourav Pal Chapter 20 First-Principles Design of Complex Chemical Hydrides as Hydrogen Storage Materials .............................................................415 S. Bhattacharya and G. P. Das Chapter 21 The Parameter I – A in Electronic Structure Theory .......................431 Robert G. Parr and Rudolph Pariser Chapter 22 Uncertainty and Entropy Properties for Coulomb and Simple ar2 Harmonic Potentials Modified by ........................................441 1+br2 S. H. Patil and K. D. Sen

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