Ratio depolarization

Additional mfomiation about the vibration ean be obtained tln-ough the depolarization ratio. This is the ratio of the intensity of seattered light that is polarized in a plane perpendieular to the ineident radiation relative to that the seattered light that is polarized parallel to the ineident polarization, p For totally synnnetrie... 

B1.3.2.5 THE MICROSCOPIC HYPERPOLARIZABILITY TENSOR, ORIENTATIONAL AVERAGING, THE KRAMERS-HEISENBERG EXPRESSION AND DEPOLARIZATION RATIOS... 

Thus one predicts that the depolarization ratio for excitation with natural light should be... 

In analogy with the depolarization ratio for linearly polarized light, the ratio of the two above quantities is known as the reversal coefficient, R(Q, given by... 

The Raman spectrum can be used to give additional information regarding the symmetry properties of vibrations. This information derives from the measurement of the depolarization ratio p for each Raman band. The quantity p is a measure of the degree to which the polarization properties of the incident radiation may be changed after scattering... 

Present formal definitions of intensities and Raman depolarization ratios,... 

A frequency job begins by computing the energy of the input structure. It then goes on to compute the frequencies at that structure. Gaussian predicts the frequencies, intensities, and Raman depolarization ratios and scattering activities for each spectral line ... 

Raman scattering activities (A 4/AMU), Raman depolarization ratios. 

Cyvin, S. J., Rauch, J. E. and Decius, J. C. (1965) Theory of hyper-Raman effects (nonlinear inelastic light scattering) selection rules and depolarization ratios for the second-order polarizability. 

An approach simpler than the "general" method has been used by Bower and coworkers [52,53] and has proved to be useful to determine the order parameters of uniaxially oriented polymers. This approach, called "cylindrical" method, requires a smaller number of spectra that are easily measurable, but it assumes that the Raman tensor associated with the vibrational mode under study is cylindrical. In such case, at — a2 — a so that the depolarization ratio R so of an... 

Finally, Frisk et al. have proposed a third method, the "depolarization" method, that does not need the assumption of a cylindrical Raman tensor [56]. A randomly oriented sample is again necessary but the depolarization ratio takes the general form... 

The measurement of four independent spectra then leads to the complete resolution of the system, assuming that the depolarization ratio is the same for the oriented and isotropic samples. 

Silk fibers, a basic system with a uniaxial symmetry, have also been investigated by Raman spectromicroscopy [63] that is one of the rare techniques capable of providing molecular data on such small (3-10 pm diameter) single filaments. The amide I band of the silk proteins has been particularly studied to determine the molecular orientation using the cylindrical Raman tensor approximation. In this work, it was assumed that Co Ci, C2 and the a parameter was determined from an isotropic sample using the following expression of the depolarization ratio... 

This assignment is confirmed f)y the fact that the measured depolarization ratio of the V2 band of the [Re2Clg]2 and [Re2Brg]2" ions at resonance is 1/8, a situation which can only arise if the resonant electronic transition is xy polarized. 

Beattie, I.R., Ozin, G.A., and Perry, R.O., Gas phase Raman spectra of P4, P2, As4 and As2. Resonance fluorescence spectrum of 80Se2. Resonance fluores-cence-Raman effects in the gas-phase spectra of sulfur and iodine. Effect of pressure on the depolarization ratios for iodine,. Chem. Soc., Perkin I, 2071, 1970. 

Same as ABS plus circular polarization due to asymmetric nature of metal site Intensity profiles, depolarization ratios... 

The anisotropy of the polarizability is described by the tensor invariant y2, which determines the depolarization ratio. This invariant y2 is averaged over all configurations of the chain molecule treated in the RIS approximation, interdependenca of rotations about neighboring bonds is taken into account. 

Raman depolarization ratio Time-scale of relaxation among three sublevels in p-state... 

Adequate spectra of solid recorded photo-electrically. Melt-depolarization ratios obtained. Structure removed on melting — considerable changes in spectra... 

Vibrational Raman Scattering of radiation with changed frequency due lo polarizability change during a vibration (A = visible usually) Qualitative for large molecules 10-Ms 10 Pa (100 ion) (v dependent) Useful for characterization. Some structural information from number of bands, position, depolarization ratios, and possibly Isotope effects. All... 

In addition to the intensity and frequency of the Raman lines, the polarization character of the lines can be measured. In fact, what led Sir C. V. Raman to believe that he was observing a new phenomenon was the unique polarization properties of this new radiation. Usually, the observations are made perpendicular to the incident beam, which is plane-polarized, as at (a) in Fig. 15. The depolarization ratio p is defined as the intensity ratio of the two polarized components of the scattered light that are respectively parallel and perpendicular to the direction of the (polarized) incident beam when the polarization of the incident beam is perpendicular to the plane of propagation and observation (p = I /ll). 

K.ey I = relative intensity p = depolarization ratio vs = symmetrical stretching-mode vas = asymmetrical stretching-mode 8 = bending mode and r = twisting mode. b Taken as reference. 

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