Particle size analysis utilizing grouped data and the log-normal distribution

1971 ◽  
Vol 2 (3) ◽  
pp. 289-303 ◽  
Author(s):  
Otto G Raabe
Keyword(s):  
Particle Size ◽  
Normal Distribution ◽  
Particle Size Analysis ◽  
Size Analysis ◽  
Grouped Data ◽  
Log Normal ◽  
Log Normal Distribution

Size characteristics of soils and sediments with special reference to clay fractions

Soil Research ◽  
1979 ◽  
Vol 17 (3) ◽  
pp. 383 ◽  
Author(s):  
PH Walker ◽  
J Hutka
Keyword(s):  
Particle Size ◽  
Size Fraction ◽  
Particle Size Analysis ◽  
Size Analysis ◽  
Size Fractions ◽  
Soils And Sediments ◽  
Eastern Australia ◽  
Fine Clay ◽  
Lake Floor ◽  
Log Normal

Soils and sediments from south-eastern Australia were examined to determine whether texture B horizons had distinctive and unique particle-size characteristics. Most texture B horizons had higher contents of fine clay (<0.2 �m) than coarse clay (0.2-2 �m), whereas coarse clay was the dominant clay-size fraction in A and C horizons. Sequences of soils in alluvium showed a systematic increase in particle-size differentiation with increasing stratigraphic age and corresponding increases in the proportion of fine clay in their B horizons. Pedologically unmodified, clay-rich sediments generally had lower contents of fine clay and higher contents of silt than B horizons. However, sediments of a lake floor and samples of argillans had clay-size fractions similar to B horizons. The distribution of fine clay in soils, determined here by centrifugal sedimentation, was poorly related to illuviated clay determined microscopically. Detailed particle-size data showed that texture B horizons were more enriched than adjacent horizons by a fraction with upper size limits between 0.25 and 0.5 �m. The greater the profile texture contrast, the more pronounced this enrichment became. The enriched clay-size fractions of these B horizons had the particle-size characteristics of log normal distributions. Within the clay-size range of texture B horizons, the fraction < 0.5 �m was the most directly related to surface area measurements made on dry soil samples. Sediments of a lake floor and samples of argillans had similar clay-size characteristics to soil B horizons. It was concluded that particle-size differentiation in these soils was related mainly to pedogenetic processes within the profile. However, the particle-size characteristics of texture B horizons are not unique. Criteria other than those based on particle-size analysis are therefore required to determine the relative importance of translocation and weathering.

Investigation on Characteristics of Ni-Base Self-Fluxing Alloy Powders

2014 ◽  
Vol 1014 ◽  
pp. 33-36
Author(s):  
Chun Lian Hu
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Normal Distribution ◽  
Infrared Absorption ◽  
Particle Distribution ◽  
Particle Size Analysis ◽  
Size Analysis ◽  
Rockwell Hardness ◽  
Joint Structure ◽  
Metallographic Observation

Morphologies, particle size distribution, microstructure and hardness of Ni-base self-fluxing alloy Ni60A powders are investigated by means of metallographic observation, laser particle size analysis, Hall flow, infrared absorption, surface rockwell hardness methods. The results indicate that Ni60A alloy powders have better sphericity, more smooth on powders’ surface, less joint structure, and single peak particle distribution similar to normal distribution. Bulk-and needle-like hard metallograph are precipitated in its microstructure and its HRC can reach 60-61.

scholarly journals Peculiarities of data processing for optical measurements of disperse parameters of bimodal media

2019 ◽  
Vol 43 (4) ◽  
pp. 692-698 ◽  
Author(s):  
A.A. Zhirnov ◽  
O.B. Kudrjashova
Keyword(s):  
Experimental Data ◽  
Particle Size ◽  
Distribution Function ◽  
Particulate Matter ◽  
Particle Size Distribution ◽  
Normal Distribution ◽  
Size Distribution ◽  
A Priori ◽  
Log Normal ◽  
Log Normal Distribution

This study is focused on enhancing the informativity of optical measurement techniques for particulate matter. The problem is that the description of particulate matter with bimodal and multimodal distributions by an a priori defined analytical function of particle size distribution (for example, a log-normal distribution) is not accurate enough. Here, we explore if experimental data can be approximated by a multivariable function of particle size distribution instead of using the a priori defined log-normal distribution. For the comparison of the approximation results, experiments are conducted on standard samples with granulometric compositions OGS-01LM and OGS-08LM separately and jointly in a mix. The experimental data are recorded by a high-selectivity turbidimetric technique in water suspensions of these samples. The purpose of this study is to present the measurement results as a distribution function that enables one to identify more accurately the particle-size distribution profile and the corresponding disperse characteristics of the aerosol in question when measuring parameters of disperse media by optical techniques. The main objective of this work is to develop, implement and verify a search algorithm for the particle-size distribution function by way of a multi-parameter function. We show that the solution to the problem proposed herein is more universal because it allows slow and fast processes in suspensions and aerosols to be examined with a lower error. The algorithm can be applied to the problems which are based on solving first-kind Fredholm equations.

X-ray particle-size broadening

1986 ◽  
Vol 42 (1) ◽  
pp. 6-13 ◽  
Author(s):  
S. Rao ◽  
C. R. Houska
Keyword(s):  
Particle Size ◽  
Normal Distribution ◽  
Variation Coefficient ◽  
Column Height ◽  
X Ray Diffraction ◽  
Diffraction Profile ◽  
X Ray ◽  
The Mean ◽  
Log Normal ◽  
Log Normal Distribution

X-ray diffraction profiles and Fourier coefficients are given for particles distributed according to experimentally verified size distributions. Calculations are based upon the log normal distribution of sphere diameters and intercept lengths in addition to a normal distribution of column heights. It is found that the diffraction profile is not sensitive to the fine details of the distribution but rather the mean column height and the column-height variation coefficient. Errors in particle-size determinations will result from an improper choice of the variation coefficient. Two simplified models are given that describe the diffraction profiles for a large range of variation coefficients.

Particle Size Analysis of Inorganic Dirt in Raw Wool

1988 ◽  
Vol 58 (9) ◽  
pp. 526-530 ◽  
Author(s):  
Franco Ferrero ◽  
Franco Marchese ◽  
Giorgio Fornaro
Keyword(s):  
Particle Size ◽  
Geometric Mean ◽  
Particle Size Analysis ◽  
Ash Content ◽  
Size Analysis ◽  
Normal Model ◽  
Mean Diameter ◽  
Distribution Parameters ◽  
Log Normal ◽  
Different Origin

A method of analyzing the particle size of inorganic dirt in raw wool is described. This method was applied to 25 raw wool samples of different origin, type, fineness, and grease and ash content. The results show that the particle size distribution of inorganic dirt is monomodal and approaches a log-normal model. The distribution parameters such as geometric mean diameter and standard deviation were also evaluated. In all samples, the geometric mean diameter was in the range of 9 to 28 micrometers without any correlation with other raw wool characteristics.

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