Theoretical Light-Scattering Coefficients for Relative Refractive Indexes Less than Unity and for Totally Reflecting Spheres

Boll, R.; Gumprecht, R.O.; Sliepcevich, C. M.

doi:10.1364/josa.44.000018

Cited by 18 publications

(4 citation statements)

References 5 publications

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“…); and D, the diameter (microns) of a residual sphere formed by the stabilizer. Then F = m/nd (3) where…”

Section: Discussionmentioning

confidence: 99%

“…Whether or not the same constant applies is a point requiring further study. As more complete tabulations of the light-scattering functions for isotropic spheres become available (3,10,11,18,19), it may become practical to compute the response of the instrument to such particles as a function of refractive index and diameter. As such computations involve integrations over the spectral response region, and the solid angles of the illuminating and viewing systems, they are extremely laborious.…”

Section: Discussionmentioning

confidence: 99%

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Light-Scattering Studies in Aerosols with New Counter-Photometer

O’Konski¹,

Doyle²

1955

Anal. Chem.

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A versatile light scattering instrument of high sensitivity is described. It employs a right-angle collecting system. It can be used (a) to determine the distribution of particle sizes in aerosols, by counting and classifying individual particles, and (b) to record the light scattering intensities from aerosols and gases. Procedures have been developed for calibration of the counter with the uniform polyvinyltoluene and polystyrene latex preparations. The degree of moncdispersity of a test aerosol produced by spray-drying these preparations was considered in detail. Pulse amplitude distribution measurements were made on 0.33, 0.5, and lp diameter particles. The results indicate that the scattering signal per particle, in our optical system, is proportional to the square of the diameter. The resolving power of the counter lies within a standard deviation of 8 percent in particle diameter. Methods were developed to employ gases as standards for particle counting work. It was found that the measured scattering intensities from He, H", N 0 , C0 ? , S0 2 , and CH-C1 increase with the square of the mean molecular polarizabilities, as expected. The limit of sensitivity of the tO-11 , photometer corresponds to 7»3'X 10 g./liter of a 0.3^ diameter test aerosol. \

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“…); and D, the diameter (microns) of a residual sphere formed by the stabilizer. Then F = m/nd (3) where…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Light-Scattering Studies in Aerosols with New Counter-Photometer

O’Konski¹,

Doyle²

1955

Anal. Chem.

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“…Numerical methods to compute P Vv (ϑ,0) are available for a number of particle shapes. (8, 13h, 59, 60) Fortunately, electronic computation at the desktop can facilitate the use of these, although extensive table of the functions appearing in the Mie theory for the scattering from spherical particles are available (21n) (the functions reported herein were calculated using MathCad, kindly provided by D. C. Prieve, of the Department of Chemical Engineering of Carnegie Mellon University, with the number of terms in the relevant sums terminated at the next integer larger than α + 4α 1/3 + 4 (slightly larger than an expression advocated in the literature (13i) for accessible α); data in published tables (61)(62)(63) are useful to confirm the methods used in such calculations). Comparable expressions are available in the Mie approximation for shells, stratified spheres and examples with a continuous radially symmetric variation.…”

Section: Isotropic Solute Beyond the Rgd Regimementioning

confidence: 99%

Light Scattering, Classical: Size and Size Distribution Characterization

Berry

2015

Encyclopedia of Analytical Chemistry

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The use of classical, or time‐averaged, light scattering methods to characterize the size and size distribution of macromolecules in dilute solutions or particles in dilute dispersions is discussed. The necessary scattering relations are presented systematically, starting with three cases at infinite dilution: the scattering extrapolated to zero angle, the scattering at small angle, and the scattering for arbitrary angle, including the inversion of the scattering data to estimate the size distribution. The relationships needed to effect an extrapolation to infinite dilution from data on dilute solutions are also discussed. These are followed by remarks on light scattering methods, and the concluding sections give examples for several applications. The Rayleigh‐Gans‐Debye (RGD) approximation is usually appropriate in the scattering from dilute polymer solutions and is also adequate for the scattering from dilute dispersions of small particles. The approximation is assumed when appropriate, but more complete theories are introduced where necessary, as in the use of the Mie‐Lorentz theory for large spherical particles.

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“…(13) With the aid of recently developed electronic computers, the Mie theory has been verified both by mathematical computation and by comparison of predicted and experimental data. Work by several invest!gators (2,5,6,7,8,9,18) shows that Kg, the scattering area coefficient, is a function of the drop diameter, d, the incident light wavelength, X , and the ratio m of the refractive index of the drop to that of the field phases…”

Section: •Isv^f^ihjr • (2)mentioning

confidence: 99%

Light transmittance as a measure of interfacial area in liquid‐liquid dispersions

Trice

Rodger

1956

AIChE Journal

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Interfacial area in liquid‐liquid systems has been measured photographically. Precision and accuracy of the method have been shown to be better than 10%. To avoid tedium of counting drops, a simple light probe of easily reproducible design has been developed to measure the light transmission through the dispersions formed. A correlation of light transmittance with interfacial area is presented and its usefulness and limitations are discussed.

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Theoretical Light-Scattering Coefficients for Relative Refractive Indexes Less than Unity and for Totally Reflecting Spheres

Cited by 18 publications

References 5 publications

Light-Scattering Studies in Aerosols with New Counter-Photometer

Light-Scattering Studies in Aerosols with New Counter-Photometer

Light Scattering, Classical: Size and Size Distribution Characterization

Light transmittance as a measure of interfacial area in liquid‐liquid dispersions

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