## Abstract

A method for determining the depolarization ratio in Raman spectroscopy as a function of the scattering frequency (to the resolution limit of the spectrometer) is described. The method is analyzed briefly and compared to current methods. Experimental results for four well-known Raman bands of liquids are reported.

© 1973 Optical Society of America

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### Equations (3)

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(1)
$$\begin{array}{l}{{\alpha}_{xx}}^{2}={{\alpha}_{yy}}^{2}={{\alpha}_{zz}}^{2}\equiv {{\alpha}_{P}}^{2}={\alpha}^{2}+4{\beta}^{2}/15,\hfill \\ {{\alpha}_{xy}}^{2}={{\alpha}_{yx}}^{2}={{\alpha}_{yz}}^{2}={{\alpha}_{zy}}^{2}={{\alpha}_{zx}}^{2}={{\alpha}_{xz}}^{2}\equiv {{\alpha}_{D}}^{2}={\beta}^{2}/15,\hfill \end{array}$$
(2)
$$\rho \equiv \frac{{I}_{D}}{{I}_{P}}=\frac{{I}_{yx}}{{I}_{yy}}=\frac{{{\alpha}_{yx}}^{2}}{{{\alpha}_{yy}}^{2}}=\frac{{{\alpha}_{D}}^{2}}{{{\alpha}_{P}}^{2}}=\frac{3{\beta}^{2}}{4{\beta}^{2}+45{\alpha}^{2}},$$
(3)
$$\begin{array}{l}\begin{array}{cc}{\rho}_{\text{meas}}=\frac{\rho +\rho F(\mathrm{\Theta})}{1+\rho F(\mathrm{\Theta})}& (\text{method}\hspace{0.17em}1),\end{array}\hfill \\ \begin{array}{cc}{\rho}_{\text{meas}}=\frac{\rho +F(\mathrm{\Theta})}{1+\rho F(\mathrm{\Theta})}& (\text{method}\hspace{0.17em}2),\end{array}\hfill \\ F(\mathrm{\Theta})=\frac{2-3cos(\mathrm{\Theta})+{cos}^{3}(\mathrm{\Theta})}{4-3cos(\mathrm{\Theta})-{cos}^{3}(\mathrm{\Theta})},\hfill \end{array}$$