Optical Properties of Colored Colloidal Systems. II. Apparent Refractive Index and Extinction Coefficient of the System of Small Spherical Particles

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The theoretical values of apparent relative refractive index m′ of colored particles was calculated as a function of particle size for various values of m0 and k0. The theoretical values of m′ as well as x were calculated for infinitesimally small particles. It was shown that m′ increases and, after passing a maximum point, approaches a limiting value of 2.5 with the increase of k0, and that x approaches zero, after passing a maximum, with the increase of k0. The values of m′ and x of Acid Orange R solutions were measured by a modified Brice type differential refractometer and by a spectrophotometer. A method to convert m′ and x values into m0 and k0 values was illustrated. The errors committed by assuming experimental m′ and x values as m0 and (4/3) k0 values of bulk phase are estimated for the dye solution. The error of x reached 21%, while the error of m′ was not larger than 2.6%.
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