Introduction to the Theory of the Raman Effect by J.A. Koningstein

By J.A. Koningstein

TO the idea OF THE RAMAN impact by means of J. A. KONINGSTEIN Carleton collage, Ottawa, Canada D. REIDEL PUBLISHING corporation DORDRECHT-HOLLAND Library of Congress Catalog Card quantity 72-77876 ISBN-13: 978-90-277-0276-0 e-ISBN-13: 978-94-010-2901-8 001: 10. 1007/978-94-010-2901-8 All Rights Reserved Copyright © 1972 by means of D. Reidel Publishing corporation, Dordrecht, Holland Softcover reprint of the hardcover I st variation 1972 No a part of this publication should be reproduced in any shape, through print, photoprint, microfilm, or the other potential, with out written permission from the writer to M. G. creation This publication is written rather for chemists. Being one myself, i've got on numerous events attempted to discover a e-book the place the idea of molecular Raman spectroscopy is taken care of, and never with the ability to locate one that satisfactorily spoke back the questions i needed to work out responded, i made a decision to attempt to put in writing a booklet on it myself. again within the heart fifties i used to be proven a Raman spectrum for the 1st time: a few faint strains on a photographic plate. within the fall of 1971, in the course of a trip to Moscow, I vividly remembered that spectrum while the son of Mandel'shtam confirmed me the 1st spectrum taken in Russia through his father and Landsberg in 1928. The spectrum of quartz photographed in the course of January and February of that 12 months confirmed the presence of a few faint new traces and in later exposures those traces turned better and stronger.

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Thus if (II,I-18a) 36 then INTRODUCTION TO THE THEORY OF THE RAMAN EFFECT A + Aa A - Aa A=--+ 2 (1I,I-ISb) 2 The elements of the matrices are: (II,I-lSc) and (II,I-ISd) A a is the transpose AT of the matrix A and is defined by having the elements of A by interchanging all rows with corresponding columns. There also exists a complex conjugate of A. This matrix is denoted by A* and the elements of this matrix are equal to the complex conjugate of the corresponding elements of A. In addition, there may also be defined the conjugate transpose matrix At so that A matrix is called Hermetian if A=AT.

Van Vleck, J. : 1929,Proc. Nat. Acad. Sci. 15, 754. Wood, W. : 1908, Phys. Z. 9, 450. CHAPTER II PROPERTIES OF TENSORS In the preceding chapter was indicated that the quantity which relates the induced moments to the components of the incident electric field is called a tensor. This tensor lies at the heart of Rayleigh and Raman scattering, and it appears that a knowledge of the properties of tensors is of importance in describing the properties of the scattered light. The scattering tensor is not unique.

It follows that the phases of the moments M kr and M rn are not necessarily equal because the phase factor of M kr = St/J: Mt/lk d" is equal to ei(~k-~r), and the phase factor of M rn is then ei(6r-~k). The phase factor of the moment M kn is then ei(~k-~n), and this factor disappears for the moment M kk • If a source emits radiation in space so that the phases of the electromagnetic waves are equal, then this radiation is called coherent radiation. A laser is the prime example of such a coherent light source.

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