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ASTM Selected Technical Papers
Liquid Particle Size Measurement Techniques: 2nd Volume
By
ED Hirleman
ED Hirleman
1
Arizona State University
,
Tempe, AZ
;
symposium chairman and editor
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WD Bachalo
WD Bachalo
editor
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PG Felton
PG Felton
editor
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ISBN-10:
0-8031-1459-1
ISBN:
978-0-8031-1459-3
No. of Pages:
266
Publisher:
ASTM International
Publication date:
1990

A connection between algebraic relations of angle scattering and integral parameters of particle-size distribution has been shown on the basis of the discussed measurement methods in which scattering at a small angle is fundamental. As shown, these relations allow for the determination of quantities characterizing the particle-size distribution without solving the ill-posed problems. Ordinary and center moments of the particle-size distribution function, f(a), are these quantities. They have a simple physical interpretation (for example, the number of particles, the sum of their diameters, the sum of cross sections, and of their volumes, in a volume unit). The center moments determine, for example, the distribution of an average particle diameter, the dispersion of function f(a), and so forth. A mathematical model of the way of moment function f(a) measurement and its practical realization are shown.

1.
Menta
,
K. T.
and
Shah
,
H. S.
, “
Particle Size Determination Through Spectral Transmission Measurement: A Critical Survey
,”
Journal of Scientific and Industrial Research
, Vol.
41
, No.
5
,
1982
, pp. 292–299.
2.
Mroczka
,
J.
, “
Microprocessor Meter of Radiation Attenuation Coefficient in Solutions
,” presented at the 5th International IMEKO Symposium, 10–14 June 1986.
3.
Bayvel
,
L. P.
, “
Direct Inversion Methods for Particle Size Distribution Measurement from Light Scattering
,”
Analytical Proceedings
 0144-557X, Vol.
21
,
1984
, pp. 281–283.
4.
Shifrin
,
K. S.
and
Kolmakov
,
I. B.
, “
Calculation of Size Particle Spectrum by Direct and Integral Values of Small Angle Scattering Pattern
,”
Izvestiya, Academy of Sciences, USSR, Atmospheric and Oceanic Physics
, Vol.
3
, No.
12
,
1967
, pp. 1271–1279.
5.
Bayvel
,
L. P.
and
Jones
,
A. R.
,
Electromagnetic Scattering and Its Applications
, 1st ed.,
Applied Science Publishers
,
London and Jersey
,
1981
.
6.
Mroczka
,
J.
, “
Numerical Problem in Particle Size Measurements by Means of the Light Scattered at a Small Angle with the Use of Lorenz-Mie Theory
,” presented at the International Symposium on Optical Particle Sizing: Theory and Practice,
Institut National des Sciences Apliquées
,
Rouen, France
, 12–15 May 1987.
7.
Mroczka
,
J.
, “
Particle Size Determination through Small Angle Light Scattering Measurement
,” presented at the 11th World Congress, IMEKO XI International Measurement Confederation,
Houston, Texas
, 16–21 Oct. 1988.
8.
Mroczka
,
J.
, “
Measurements of Integral Parameters in the Investigations of Optical Properties of Aerosols
,” presented at the Twelfth International Conference on Atmospheric Aerosols and Nucleation,
Vienna, Austria
, 22–27 Aug. 1988.
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