By J.A. Koningstein
ISBN-10: 9027702764
ISBN-13: 9789027702760
ISBN-10: 9401029016
ISBN-13: 9789401029018
TO the speculation OF THE RAMAN impression via 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 through D. Reidel Publishing corporation, Dordrecht, Holland Softcover reprint of the hardcover I st variation 1972 No a part of this e-book will be reproduced in any shape, by way of print, photoprint, microfilm, or the other capacity, with out written permission from the writer to M. G. advent This e-book is written quite for chemists. Being one myself, i've got on a number of events attempted to discover a publication the place the speculation of molecular Raman spectroscopy is taken care of, and never having the ability to locate one that satisfactorily responded the questions i needed to determine spoke back, i made a decision to aim to write down a e-book on it myself. again within the heart fifties i used to be proven a Raman spectrum for the 1st time: a few faint traces 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 strains and in later exposures those traces turned superior and stronger.
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Additional info for Introduction to the Theory of the Raman Effect
Example text
The results are that: (1, 6-1c) where " (I,6-1d) Although the expressions for (lJ(oa)kk may be obtained by following the method outlined in the previous paragraph, an extremely simple way to arrive at (I, 6-1d) is to let n=k in (1, 5-13b). The integral N: MljI r d T is called Hermitian because or (I, 6-2) After substituting (1, 6-2) in (1, 6-1 d) the following expression is obtained for the complex conjugate elements (lJ(ea):k: (I, 6-3) 30 INTRODUCTION TO THE THEORY OF THE RAMAN EFFECT From (I, 6-ld) and (I, 6-3) it follows that: (lXea )kk = (I, 6-4) (lXea ):k .
Formulation of the Scattering Tensor The moment MW which is associated with the coherent Rayleigh scattering is given by: (I, 5-1) The total radiation emitted in space by this oscillating moment of frequency according to Equation (I, 1-1): 1= 2fMI2 3 c3 = 64n 4 vri ICkkl2 3 c3 Vo is, (I, 5-2) 24 INTRODUCTION TO THE THEORY OF THE RAMAN EFFECT where (I, 5-3) In a similar way it can be shown that the total radiation emitted by the moment M kn which is associated with Raman scattering is equal to: (I, 5-4a) where (1,5-4b) If Ckn is known, then the total intensity, cross section etc.
It is important here to take a step back and recall some algebra of dyads. In the preceding paragraph of this chapter it was shown that the dot product of a dyad and a vector results in vector (see Equation (II, 1-26)). Similarly, the question may be asked which dyad D satisfies the relation: (II, 2-12) u x v = D·v In writing out the dot product D· v: D·v = D (ivx + jVy + kv z ). (II,2-12a) On the other hand, the cross product of the vectors u and v in determinantal form is given by (see II, 1-15) ~y.
Introduction to the Theory of the Raman Effect by J.A. Koningstein
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