Michael Quinten Optical Properties of Nanoparticle Systems Mie and Beyond Michael Quinten Optical Properties of Nanoparticle Systems Related Titles Schmid, G. (ed.) Nanoparticles From Theory to Application 2010 ISBN: 978-3-527-32589-4 Gubin, S. P. (ed.) Magnetic Nanoparticles 2009 ISBN: 978-3-527-40790-3 Fendler, J. H. (ed.) Nanoparticles and Nanostructured Films Preparation, Characterization and Applications 1998 ISBN: 978-3-527-29443-5 Bohren, C. F., Huffman, D. R. Absorption and Scattering of Light by Small Particles 1998 ISBN: 978-0-471-29340-8 Michael Quinten Optical Properties of Nanoparticle Systems Mie and Beyond The Author All books published by Wiley-VCH are carefully produced. Nevertheless, authors, editors, and Dr. Michael Quinten publisher do not warrant the information contained Mauritiusstr. 7 in these books, including this book, to be free of 52457 Aldenhoven errors. Readers are advised to keep in mind that [email protected] statements, data, illustrations, procedural details or other items may inadvertently be inaccurate. Cover Library of Congress Card No.: applied for Lycurgus Cup, a dichroic glass British Library Cataloguing-in-Publication Data cup with a mythological scene; A catalogue record for this book is available from Late Roman, 4th century AD; the British Library. probably made in Rome. The illustration on the right shows the Bibliographic information published by same glass cup when held up to the Deutsche Nationalbibliothek the light. © Trustees of the The Deutsche Nationalbibliothek lists this British Museum. publication in the Deutsche Nationalbibliografi e; detailed bibliographic data are available on the Internet at <http://dnb.d-nb.de>. © 2011 Wiley-VCH Verlag & Co. KGaA, Boschstr. 12, 69469 Weinheim, Germany All rights reserved (including those of translation into other languages). No part of this book may be reproduced in any form – by photoprinting, microfi lm, or any other means – nor transmitted or translated into a machine language without written permission from the publishers. Registered names, trademarks, etc. used in this book, even when not specifi cally marked as such, are not to be considered unprotected by law. Composition Toppan Best-set Premedia Limited, Hong Kong Printing and Binding Fabulous Printers Pte. Ltd., Singapore Cover Design Adam Design, Weinheim Printed in Singapore Printed on acid-free paper ISBN: 978-3-527-41043-9 V To Ulrike, Eva and Christoph VII Contents Preface XIII 1 Introduction 1 2 Nanoparticle Systems and Experimental Optical Observables 9 2.1 Classifi cation of Nanoparticle Systems 10 2.2 Stability of Nanoparticle Systems 14 2.3 Extinction, Optical Density, and Scattering 21 2.3.1 The Role of the Particle Material Data 25 2.3.2 The Role of the Particle Size 26 2.3.3 The Role of the Particle Shape 29 2.3.4 The Role of the Particle Concentration 33 2.3.4.1 Dilute Systems 33 2.3.4.2 Closely Packed Systems 34 3 Interaction of Light with Matter – The Optical Material Function 37 3.1 Classical Description 37 3.1.1 The Harmonic Oscillator Model 38 3.1.2 Extensions of the Harmonic Oscillator Model 40 3.1.3 The Drude Dielectric Function 41 3.2 Quantum Mechanical Concepts 42 3.2.1 The Hubbard Dielectric Function 43 3.2.2 Interband Transitions 47 3.3 Tauc–Lorentz and OJL Models 50 3.4 Kramers–Kronig Relations and Penetration Depth 52 4 Fundamentals of Light Scattering by an Obstacle 55 4.1 Maxwell’s Equations and the Helmholtz Equation 56 4.2 Electromagnetic Fields 59 4.3 Boundary Conditions 61 4.4 Poynting’s Law and Cross-sections 62 4.5 Far-Field and Near-Field 65 Optical Properties of Nanoparticle Systems: Mie and Beyond. Michael Quinten Copyright © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim ISBN: 978-3-527-41043-9