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AROMATICITY and METAL CLUSTERS 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 Quantum Trajectories Edited by Pratim Kumar Chattaraj A , M , C TOMS OLECULES AND LUSTERS Structure, Reactivity, and Dynamics AROMATICITY and METAL CLUSTERS Edited by 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 © 2011 by Taylor and Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-13: 978-1-4398-1335-5 (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 Foreword ...................................................................................................................ix Series Preface ............................................................................................................xi Preface....................................................................................................................xiii Editor .......................................................................................................................xv Contributors ...........................................................................................................xvii Chapter 1 Aromaticity: From Benzene to Atomic Clusters ..................................1 Sandeep Nigam and Chiranjib Majumder Chapter 2 On the Measures of Aromaticity ........................................................31 G. Narahari Sastry, P. Venuvanalingam, and P. Kolandaivel Chapter 3 Aromaticity in Metals: From Clusters to Solids ................................55 Alina P. Sergeeva and Alexander I. Boldyrev Chapter 4 Computational Studies on Molecules with Unusual Aromaticity: What to Expect? ............................................................69 Ayan Datta, Sairam S. Mallajosyula, and Swapan K. Pati Chapter 5 Using the Electron Localization Function to Measure Aromaticity ..........................................................................95 Patricio Fuentealba, Elizabeth Florez, and Juan C. Santos Chapter 6 Polarizability of Metal Clusters: A Coarse-Grained Density Functional Theory Approach ...........................................................103 Swapan K. Ghosh Chapter 7 Reactivity of Metal Clusters .............................................................119 Julio A. Alonso, Angel Mañanes, and Luis M. Molina Chapter 8 Electronic Shells and Magnetism in Small Metal Clusters ..............137 Prasenjit Sen v vi Contents Chapter 9 Using Theory in Determining the Properties of Metal Clusters: Sodium as a Case Study ....................................................161 Violina Tevekeliyska, Yi Dong, Michael Springborg, and Valeri G. Grigoryan Chapter 10 The Induced Magnetic Field and Its Application .............................187 Rafael Islas, Gerardo Martínez-Guajardo, Gotthard Seifert, Thomas Heine, and Gabriel Merino Chapter 11 A Density Functional Investigation on the Structures, Energetics, and Properties of Sodium Clusters through Electrostatic Guidelines and Molecular Tailoring ...........................205 K. V. Jovan Jose, Subodh S. Khire, and Shridhar R. Gadre Chapter 12 Size and Shape-Dependent Structural and Electronic Properties of Metal Chalcogenide Nanoclusters ..............................227 Sougata Pal and Pranab Sarkar Chapter 13 Correlation between Electron Delocalization and Ring Currents in All Metallic “Aromatic” Compounds ..........................................245 Patrick Bultinck, Stijn Fias, Marcos Mandado, and Robert Ponec Chapter 14 Phenomenological Shell Model and Aromaticity in Metal Clusters ..................................................................................271 Tibor Höltzl, Tamás Veszprémi, Peter Lievens, and Minh Tho Nguyen Chapter 15 Rationalizing the Aromaticity Indexes Used to Describe the Aromatic Behavior of Metal Clusters ..............................................297 Prasenjit Seal and Swapan Chakrabarti Chapter 16 Aromaticity in All-Metal Rings .......................................................323 Jose M. Mercero, Ivan Infante, and Jesus M. Ugalde Chapter 17 Synthesis and Structure of Aromatic Alkali Metal Clusters Supported by Molybdenum Metalloligands .....................................339 Manish Bhattacharjee Contents vii Chapter 18 5f Orbital Successive Aromatic and Antiaromatic Zones in Triangular Uranium Cluster Chemistry ...........................................349 Constantinos A. Tsipis Chapter 19 Bonding, Aromaticity, and Possible Bond-Stretch Isomerism in an “All-Metal” Cluster—[Be Zn ]2− ............................................371 6 2 Santanab Giri, R. P. S. Abhijith Kumar, Arindam Chakraborty, Debesh R. Roy, Soma Duley, Ramakrishnan Parthasarathi, Munusamy Elango, Ramadoss Vijayaraj, Venkatesan Subramanian, Gabriel Merino, and Pratim Kumar Chattaraj Chapter 20 Are Dicationic Chalcogenid Ring Systems Aromatic? ....................387 Patrizia Calaminici, Andreas M. Köster, and Zeferino Gómez-Sandoval Chapter 21 Study of Aromaticity in Phosphazenes ............................................409 Prakash Chandra Jha, Y. Anusooya Pati, and S. Ramasesha Index ......................................................................................................................423 Foreword Michael Faraday, “the best experimentalist in the history of science,” is responsible for the many contributions to this book. He is my candidate for its inspirational pio- neer. Similar to the diverse subject matter of the following chapters, Faraday’s career spanned both chemistry and physics. He discovered benzene in 1825, recognized its special properties, and determined the composition of naphthalene. His seminal involvement with the interrelationship of electricity and magnetism formed the basis for the later association of unusual magnetic properties with aromaticity. Faraday observed that an electrical current was induced when a magnet was moved in a coil of wire. He discovered diamagnetism and paramagnetism and invented the “Faraday balance” for their measurement. The exaltation of magnetic susceptibility due to the induced ring currents in aromatic compounds is among the widely employed mag- netic criteria, and is highly pertinent to the characterization of metal clusters. Faraday was the first to report what are now described as “nanoparticles.” He noted in 1847 that properties of gold colloids (clusters!) differed from those of the bulk metal. This “might be considered to be the birth of nanoscience.” Gold atom aggregates are prominent among metal clusters of current interest. Charts of the Periodic Table typically categorize the chemical elements as “nonmetallic” or “metallic.” The 80 metals among the first 105 elements are “good conductors of both electricity and heat” in the bulk. They epitomize electron delocal- ization, the hallmark of aromaticity. However, the typical reactions and chemical behavior of individual metal atoms (particularly those of the s,p-block) are much like those of the nonmetallic elements. How many atoms of a metal are needed before the cluster becomes “metallic”? The onset of “aromaticity” in any kind of system also is a fuzzy matter of viewpoint and interpretation. Physicists disdain concepts incapable of precise definition. Organic chemists, the principal purveyors of aromaticity, were slow to recognize that elements other than carbon can participate (this realization dates from the isola- tion of thiophene as an impurity in benzene in 1883). Stock’s “inorganic benzene” (Borazine, 1926) culminated the quest for main group element examples lacking carbon completely. Despite their prevalence among the chemical elements, transition metals were accepted into the panoply of aromaticity even more slowly. Ferrocene and dibenzenechromium drew attention to the participation of d-block metals, but the aromaticity of these sandwiches was largely ascribed to their carbon rings. Replacement of a benzene CH by a metal group was another step forward. Many well-known complexes with multiple transition metal atoms obviously benefit from the highly delocalized bonding associated with “aromaticity,” but this sobriquet was seldom applied until recently. Progress toward the title of this book is outlined in its chapters. Physicists were intrigued by the intensity distributions (“magic numbers”) in the mass spectra of sodium and other metal atom clusters. Chemists discussed the relationship of Li+ 3 ix

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