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Comparison of optical methods for fines and filler characterization
Farnaz Farahani
December 2015
Master Thesis Report in Chemical Engineering
Acknowledgements
The support and supervision of Lars Wågberg, Kari Hyll, support and management of
Hannes Vomhoff, Elisabeth Björk, contribution of lab assistants in the chemical lab of
Innventia AB, especially Åsa Blademo, sample contribution of Specialty Minerals, and
support by the Vinnova EucaBraz project is gratefully acknowledged.
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Table of contents
Page
1 SUMMARY .................................................................................................................. 3 INTRODUCTION ........................................................................................................... 4
3 BACKGROUND ............................................................................................................. 6 3.1.1 The fine fraction of a stock ...................................................................................... 6 3.1.2 Definition of fines .................................................................................................... 6 3.1.3 Classification and origin of fines .............................................................................. 6 3.1.4 Impact of the size and shape of fines ...................................................................... 8 3.1.5 Fillers ........................................................................................................................ 9 3.1.6 Impact of the size and shape of fillers ................................................................... 11 3.1.7 Mixes ..................................................................................................................... 11
3.2 STOCK CHARACTERIZATION METHODS ................................................................................ 12 Flow cytometry ................................................................................................................... 15 Combination techniques ..................................................................................................... 16
4 MATERIALS AND METHODS ....................................................................................... 17 4.1 SAMPLE PREPARATION .................................................................................................... 17
4.1.1 Stocks ..................................................................................................................... 17 4.1.2 BDDJ screening ...................................................................................................... 17
4.2 MEASUREMENT INSTRUMENTS ......................................................................................... 18 4.2.1 Overview ................................................................................................................ 18 4.2.2 ImageStreamX MarkII ............................................................................................ 18 4.2.3 FiberTester and FiberTester+ ................................................................................. 21 4.2.4 Mastersizer 2000 (Laser diffraction) ..................................................................... 23
5 MATLAB ANALYSIS..................................................................................................... 24
......................................................................................................................................... 25
6 RESULTS AND DISCUSSION ......................................................................................... 26 6.1 IMAGE-BASED AND LD METHODS COMPARISON ................................................................... 26 6.2 IMAGE-BASED METHODS COMPARISON .............................................................................. 32
7 CONCLUSIONS ........................................................................................................... 35
8 REFERENCES .............................................................................................................. 37
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1 Summary
This thesis presents an evaluation study of three different image analysis instruments
(FiberTester, FiberTester+ and ImageStream) and a laser diffraction (LD) instrument,
for the analysis of the fine fraction of a stock. The instruments had different spatial
resolutions and measurement ranges.
Measurements were made on three different samples; pulp fines, paper filler
(precipitated calcium carbonate) and the mix of them. Two comparisons were made;
one with only data from image-based analysers, and one where LD data was also
included. In the first comparison, the data was area-weighted, while in the second
comparison, it was volume-weighted. To conduct a meaningful data comparison
between the imaging and LD techniques, the multi-parameter imaging data was
transformed to Equivalent Sphere Diameter.
For the pulp fines sample, LD did not exhibit particles with Equivalent Sphere Diameter
smaller than 6 μm and showed poor correlation with Image-based analysers. However,
the LD results correlated better with Image-based methods for PCC particles. The
ImageStream was the most capable instrument for detecting smallest particles among all
the analysers. Among the image-based analysers, FT+ delivered the best results for
relatively large particles.
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2 Introduction
Fines play an important role in behaviour of the wet web and quality of the final paper.
Many studies have revealed the significance of fines and their impact on retention,
drainage, paper making chemistry, optical properties like light scattering and
mechanical properties of the paper like tensile index, tear index, roughness, and finally
density of the paper sheets. Since fines have a large surface area compared to their mass,
they play an important role in drainage and bonding ability. Despite the significance of fines, limited knowledge of their characteristics and morphology is available, as their
small size makes them difficult to characterize. The importance of particle
characterization in general arises from the fact that many of physical, mechanical and in
some cases chemical properties of dispersed materials depend on their particle size and
shape characteristics. Not only the size of these particles is critical to understand, but
also the shape of these particles plays an important role in behaviour of the dispersed
material. The shape of the particles can also affect particle process in addition to the
properties of the final products.
Spherical particles will behave differently from needle-like particles. In powder particle
processes spheres flow easily, but needle-likes do not, the viscosity increases by
increasing aspect ratio. Blending time is different for different shapes of particles and
mobility of the particles depends on their shape to a large extend and it causes
segregation. Product performance is largely influenced by shape of particles as well. For
some products like glass beads for highway paint or propend, a better performance is
achieved by spherical particles, but for some other products like abrasives, non-
spherical particles have better performance [2].
In the pulp and paper industry, image-based fibre analysers are common for the characterization of pulp, and here primarily for the characterisation of the morphology of
the fibres. These analysers give both the size and shape of particles. Although image
analysis is an affordable and powerful technique, the method has limitations. Image
analysis provides measurements on a 2-D image of a 3-D particle. In addition, particles
can only be detected if they are larger than the resolution of the instrument. Given the
fact that a large share of the fines and filler particles are considerable smaller than the
resolution of the instruments, a large part of the fine fraction cannot be characterized. This has prompted researchers to use other methods, such as laser diffraction, in studies
of fines and fillers.
From laser diffraction, highly reproducible results can be provided in a short amount of
time. On the other hand, laser diffraction data is difficult to interpret and to correlate
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with results from other methods. The interpretation is especially challenging for non-
spherical shaped particles since it considers particles as perfect spheres. Additionally, it
is sensitive to the optical properties of the particles. These limitations have only rarely
been addressed in the studies.
Recent development of image-based analysers has increased the resolution of image-
based analysers. Thus, the purpose of this study was to evaluate the potential of image-
based instruments for the size and shape analysis of fines and fillers, and to further
investigate the performance of laser diffraction. This was done by analysing results
from the use and comparison of image analysis (IA) and laser diffraction (LD) particle
size analysis (PSA).
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3 Background
3.1.1 The fine fraction of a stock
The main components in the stock used in the papermaking machine include fibers,
cellulosic fines, fillers, polymer additives to enhance retention and fixation and finally
dissolved colloidal substances (DCS). The fraction of the stock which passes through
holes with a diameter of 75 μm (200-mesh screen) is commonly called the fine fraction.
Dependent on the composition of the stock, the fine fraction can contain many different
particle types.
3.1.2 Definition of fines
Fines are the components of the fine fraction which originate from the pulp. Fines may
contain everything from bundles of elementary fibrils 20 nm wide and 1 µm long, to ray
cells and fibre fragments several hundreds of micrometers in length. Thus, the size
range of fines is very wide. There is an unclear boundary between DCS (dissolved and
colloidal substances) and fines, and also between fines and cellulose micro/nano-fibrils.
According to Luukko et al [3] fines are visible in a light microscope but the size
boundary between “colloidal” and “microscopic” is not clear [4].
In order to understand the properties of fines and their influence on paper sheet
properties, knowledge of both chemical composition, such as lignin and carbohydrate
content, and physical properties, such as shape and size, are desirable.
3.1.3 Classification and origin of fines
Mechanical fines have traditionally been categorized as flaky or fibrillar fines. Chemical
fines have been categorized as primary and secondary fines. Primary fines are those,
which are a result of the chemical pulping process, and already exist in the pulp before
refining, a mechanical treatment process. Secondary fines are produced during the
refining. Primary fines are mostly flake-like and secondary fines are fibril-like. During
the refining, the surface (primary wall) of the fibers is peeled off, exposing the
secondary layer. The microfibrils of the secondary wall are raised to the surface as
external fibrillation, and may be rubbed off the fibre. Thus, secondary fines are
produced and may origin both from the primary wall and the S-layers. Since the surface
of the fibers contains more lignin than the bulk fibers, the secondary fines lignin content
is higher than that in fibers but still less than that in primary fines. Primary fines
composition is mainly from ray cells, parenchyma cells and middle lamella lignin. The
primary fines consist of higher lignin and slightly higher xylose than those in fibers but
there is no significant difference in their carbohydrate compositions. The carbohydrate
composition in secondary fines and fibers is almost similar. The primary and secondary
fines each have different impact on mechanical properties of the sheets. The secondary
fines contribute to the tensile strength more than the primary fines [6].
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Figure 1. Mechanical Fines produced after first refining stage, flake-like (left) and fines produced after
last refining stage, fibril-like (right) [4].
For mechanical fines, the type is related to the mechanical treatment. Rundlöf [5]
studies on mechanical fines reported that flake-like fines mainly come from middle
lamella and fibril-like fines from the secondary wall. Luukko et al [3] also added that
low total specific energy consumption (SEC) in the refining process will produce
mainly flake fines and high total specific energy consumption gives flake fines in the
early stages and fibril-like fines in the finishing stages of refining process.
Figure 2. Different types of fines and their origin in the fibre [27].
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3.1.4 Impact of the size and shape of fines
Fines and fibers are greatly different in their physical properties and their impact on
processes and products are different. Due to their small size, large ability to swell, and
big specific surface area, the fines affect paper properties in many ways. Several of
these fines-unique properties are dependent on their size and shape. A few examples are
given below.
Due to their small size, fines can migrate into and fill inter-fiber spaces during the
dewatering. Therefore, for the same dewatering condition, the sheet dryness will
decrease by the existence of fines.
Chemical fines give the highest increase in sheet strength properties of the pulp;
especially the secondary fines. This has been linked to the higher degree of fibrils of
secondary chemical fines, compared to mechanical fines [6]. The high aspect ratio and
flexibility of the fibrillar fines are believed to be especially important.
In mechanical pulp, flake-like fines contribute more to the scattering of light in the sheet
due to the low density and their shape. Here, the flaky shape may act as a mirror for the
light. Fibril like fines are more flexible and can be densely packed and therefore create
less light scattering [7].
Lignin swells less than carbohydrates. Since flake-like fines contain a higher amount of
lignin than fibril-like fines, they are expected to swell less. On the other hand, charged
groups present in fines play an important role in swelling of fines. Flake-like fines
originate from the pectin rich polysaccharides, which contain more total charged groups
but less surface charged groups than fibril-like fines. The specific surface area of the
fibril-like fines is higher than that in flake-like fines, which can be the reason of higher
amount of surface charge of fibril-like fines [4]. Finally, it should be mentioned that the
large swelling of the fines may affect their optical properties, as the optical properties
change with the amount of water.
The chemical composition of flake- and fibril-like fines in mechanical pulp is different.
The lignin content of flake-like fines in mechanical pulp has been reported to between
35-39%, while it was 31-33% for the fibril-like fines [7-9].
As the specific surface area (surface area per unit mass) is much larger for fines than for
fibers (in the range of ten times), they are potentially able to adsorb larger amounts of
contaminant in the process water [4]. Moreover the flake-like fines adsorb more
colloidal wood resin than the fibril-like fines, and it is probably due to higher
hydrophobicity in flake-like fines [4].
In conclusion, previous studies on both chemistry and physical properties of fines
illustrate their important role for the quality of the paper. The shape-dependent
categorization into flaky and fibrillar fines is important, which is in turn linked to the
origin of the fines in the fibre or in the pulp production process. Summarizing the points
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described above, a paper sheet, which contains fibril-like fines, has a higher tensile
index, lower light scattering coefficient, and a higher density than a sheet containing
flake-like fines.
3.1.5 Fillers
Fillers are pigment powders that are produced from natural mineral products. They have a size
of 0.1 to 5 𝜇m. Fillers provide desirable optical paper properties such as high light
scattering, brightness and opacity. They also improve surface smoothness and
dimensional stability of the paper. Due to reduced amount of biomaterial mass per unit
weight of paper when using paper fillers, the energy demand in pulp and paper making
process is lower [10]. Fillers are also used in the paper making industry due to the
scarcity of cellulose raw materials, increasing costs and for forest resources preservation
purposes. Fillers are five to seven times cheaper than bleached chemical pulps [11].
While there are benefits with applying fillers in papermaking, there are still some
challenges associated with the fillers. Firstly, fillers have poor binding, considering the
fact that both fibres and fillers are negatively charged and they repel each other and that
affects the strength of the paper. Therefore, they do not easily retain on the sheets.
Fillers can also disturb fibre-fibre bonding and negatively influence tensile strength of
the sheets. There are a number of commercially-available fillers from which precipitated
calcium carbonate (PCC), ground calcium carbonate (GCC), and kaolin are most
common. Other pigments include talc, precipitated silica and silicates (PSS) and TiO2.
GCC and PCC are used in neutral or alkaline paper production whereas PSS, talc, and
TiO2 are used in alkaline/neutral or acid papermaking processes. The demand for
calcium carbonate pigments is currently growing while there is a marked decline in
kaolin demand. The main reason for this is the conversion of acid papermaking to
neutral/alkaline and the demand for brighter and bulkier papers [12].
Characterizing the size and shape of mineral filler particles will help us to understand
how they can affect paper properties. Bulkiness and porosity of the paper sheet can be
strongly influenced by the filler particle size and shapes.
Previous studies show how different sizes of fillers can affect the paper properties. The
figures below show some of the optical and mechanical properties of paper sheets are
influenced by the size of the fillers see Figure 3.
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Figure 3. Effect of paper filler size on some of the paper sheet properties [28].
Mineral fillers are produced in different shapes, such as plate-like, irregular, blocky or
rounded. PCC is produced in different crystal shapes, whereas GCC particles have
generally a blocky shape, see figure 4 and figure 5.
Figure 4. Micrograph of rhombohedral (left) and aragonite PCC (right) [28].
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Figure 5. SEM of hydrous Kaolin (left) and Micrograph of GCC (right) [28].
Precipitated calcium carbonate (PCC) is used as filler and sealants, in food and
pharmaceuticals, paints, inks, and paper. PCC provides high opacity and brightness to
the final paper and is the mineral that is mostly used in paper products. The demand for
PCC has been growing from 275,000 metric tons in 1986 to more than 4 million metric
tons today.
Since PCC is one of the most common fillers used in paper industry, and allows a
flexibility regarding the location of the manufacturing site and the produced shapes of
PCC particles, it would be interesting to characterize its size and shape and therefore
was chosen as the second sample of the study in this work.
3.1.6 Impact of the size and shape of fillers
PCC is manufactured and not mined. Therefore, chemical and physical properties of
PCC particles are controllable [13]. Depending on the desirable final physical
properties, which are affected by the shape of the particle, a formulator can choose a
shape which gives the best performance to the final product. The shape of PCC crystals
depends on the products and the production process, see example of different shapes
and sizes in figure 3. As by increasing the degree of PCC structure, a bulkier product
with a better optical performance is achieved. Degree of structure or “structuring”
defines the aggregation of primary particles of PCC to a larger secondary structure [14].
3.1.7 Mixes
In several situations, fillers and fines are mixed in a stock. This is especially common
for recycled pulp, but also in white water and in pulp containing broke. As the
properties of fines and fillers are very different, a stock containing much filler could
need addition of fines to compensate for the loss in paper strength. A stock containing a
higher share of fines could allow for the addition of more fillers to save raw material
cost and improve the optical properties. However, there are currently no efficient
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automatomatized image-based methods which can identify if a particle is filler or a pulp
fine.
3.2 Stock characterization methods
Given that the size and shape of fine material is of great importance for product
properties, surprisingly few methods are dedicated to their characterization. The wide
size range of the fine material is a great challenge, as both the smallest and the largest
particles needs to be detected at the same time. This requires a measurement instrument
to have both a high resolution and a large dynamic size rang.
Optical Characterization methods
Optical fiber length analysis is a common method for obtaining fiber length
distributions. As they are image-based, they can give both size and shape data for every
particle. However, there are some limitations with current optical fiber length analyzers.
First, the image resolution of the systems is limited. Single-camera fibre analyzers have
had a resolution around 10 µm. Three to five pixels are required to build up a particle,
so the minimum particle size has in practice been 30-50 µm. Newer, two-camera
systems have added a camera with resolution around 1.5µm, but these have been
expensive. With a significant share of the fine fraction being smaller than this, many
fines particles will not be detected.
Moreover, even if all the fines would be detected, the weight fraction of fines cannot be
obtained from the results. Although optical analyzers provide a length-weighted
percentage of particles smaller than 0.2 mm length, this result cannot be reliable, as
these results would only be correct if fibers and fines had the same mass per unit length
(coarseness). Thus, not only all fines are not detected but also the fine content value
obtained from these methods is not reliable [15].
Some of the optical fiber length analyzers detect the fibers using polarized light. Since
cellulose is birefringent and lignin is not, only wood particles, which contain cellulose,
would be detected. Therefore lignin rich particles including fines from mechanical pulps
cannot be detected. Even wood particles containing small amount of cellulose may not
be detectable because of providing insufficient birefringence. Therefore the
polarization-based analysers are not able to detect all fine particles [3].
Laser diffraction
The laser diffraction (LD) method is based on the fact that the spatial distribution of
scattered light is a function of the size of particles. In a laser diffraction instrument, the
sample stream is illuminated with a laser beam. The laser beam has two light sources,
He and Ne, with different wavelengths. The laser light is diffracted by the particles the
homogeneous sample stream and a diffraction pattern is produced. The pattern is then
measured by detectors and is transferred to the particle size. The smaller particles create
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more diffuse diffraction rings than the larger particles. Some laser diffraction
instruments are equipped with a blue and a red laser source of light. The blue laser is
used for measuring relatively small particles and the red laser for large particles. The
hardware of LD is schematically shown in the figure below.
Figure 6. Schematic hardware of laser diffraction instrument.
There are two main theories by which scattering and adsorption of particles can be
predicted, Fraunhofer and Mie models. Fraunhofer model basically can predict
scattering pattern of light when a solid, opaque particle with a known size is passing
through a laser beam. It is especially used for relatively large particles. Considering that
the particles of most experiments are transparent and this theory is not able to describe
the scattering pattern for them, Mie theory is a more accepted model to predict the
scattering pattern of particles, which was used in LD method in this work. Mie theory
provides the pattern, of which the light is scattered, passes through or adsorbed by the
spherical particles. Although this theory seems to be more correct than Fraunhofer
model, it does require the user to know the refractive index in advance. So the user
estimates the refractive index of the particle before analysis by Mastersizer, then it
captures the actual scattering pattern backward! Refractive estimation is explained in
detail in the next part. Since Mie theory measures particles based on the assumption that
they are perfect spheres. As most particles are not ideal spheres, the particle size
measurement becomes complicated. It will be difficult to define size characterizations,
especially for irregularly shaped particles.
Mastersizer measures size of the particles by their volume. Since the shape of spheres
can be defined by only one unique value, then an equivalent parameter of the irregular
shape particles can be described to measure the size of an imaginary spherical particle.
Therefore equivalent sphere diameter (ESD) can be calculated for all the particles, of
which most particles are irregular shaped [22].
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Volume of the cylinder:
V= 𝜋𝑙 (𝐷)2/4 (6)
Therefore, the equivalent sphere diameter for the cylindrical particle can be calculated
as follows:
d =∛(6𝑉/𝜋) (7)
Outside the pulp and paper industry, laser diffraction is probably the most widely used
non-microscopic technique for particle size analysis due to ease of use, repeatability,
speed of measurements and a wide measurement range. However, there are many
articles addressing critical issues concerning this method. Benefits and issues associated
with laser diffraction are:
-Ease of use: laser diffraction method requires no calibration, and can be verified easily
by available NIST-traceable standards.
-Range of applicability: Laser diffraction is able to characterize different types of
sample, such as dry powders, sprays and suspensions.
-Measurement range: a wide dynamic range of size of particles from 20 nm to 2-3
millimetres can be measured so that both well dispersed and agglomerated particles are
detected.
- Speed of measurement: Down to 400μs/measurement.
- Measurement repeatability: rapid measurements allow the user to repeat the results
many times and improve the accuracy of the measurement [16].
D
l
d
Figure 7. ESD of a cylindrical particle.
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However there are arguments that this method suffers from some pitfalls and
inaccuracies, which are described below.
One of the basic assumptions of the laser diffraction method is random particle
orientation. This is especially crucial for extremely non-spherical particles. This
assumption is questionable. Here, problems arise from the fact that the flow in laser
diffraction is not turbulent but rather laminar. Therefore the particles orient themselves
in the flow direction according to the “flow alignment” phenomenon. As a result,
particles pass the laser at 90° (perpendicular to the beam) due to “flow alignment” and
the projected area is therefore measured instead of actual size, this is especially
important for particles with an aspect ratio larger than 5:1 [17]. According to Kelly RN
[18] the assumption of random orientation for non-spherical particles larger than 1 μm
with a high aspect ratio is false.
Another questionable assumption in laser diffraction method is that results are volume
based and reflect a volume distribution. Kelly RN et al [19] showed that laser
diffraction is not able to differentiate between plates and cubes having similar linear
dimensions but different volumes. Therefore “volume probability” results of laser
diffraction experiments for irregular particles are based on the projected surface area
provided by image analysis. Recent studies on comparison of laser diffraction results
with other particle-sizing techniques indicate that there is a poor correlation between
image analysis and laser diffraction results for needle-like, rod or plate particles.
Considering the fact that error functions in different methods are different, the image-
based and direct observation methods gain more value in particle sizing than results
from complicated calculations. Laser diffraction shows 31% error in size for plates and
up to 70%, compared with direct measurement [16].
3.2.1 Flow cytometry
Flow cytometry refers to the particle analysis technology, which measures light scatter
and fluorescence intensity of particles in suspension. The technique has been used for a
long time in the biomedical field. In the pulp and paper industry, it has been used in
some studies to characterize mechanical fines [3]. It is especially used to identify
different types of particles, which can then be separately analysed.
Advantage of flow cytometry are that a large number of particles in a suspension are
analysed in a short period of time, that both optical and chemical information is
obtained, and that data is obtained for each individual particle. The limitations of flow cytometry are that the measurement range is limited (usually between 0.2 and 120 µm) and that size information may only be obtained by calibration measurements on
reference particles. Shape data is difficult to obtain.
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3.2.2 Combination techniques
With traditional particle characterization analysis, one has to choose between analysis of
large population of particles without images (such as laser diffraction method or flow
cytometry) or visualization of a limited number of particles by microscope without
obtaining representative quantitative results (such as optical microscopes). Microscopy
provides information about the fine structure and qualification; on the other hand flow
cytometry is able to provide statistical information. The ImageStream is an instrument
that combines these two features. In this study physical properties of fines (size and
shape) are investigated with different image based characterization methods,
ImageStream, Fiber Tester, and Fiber Tester +, and a light diffraction method, Master
Sizer.
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4 Materials and Methods
4.1 Sample preparation
4.1.1 Stocks
Unbleached Kraft softwood pulp (UKSW from Frövi, BillerudKorsnäs, refined in the
mill) and precipitated calcium carbonate (Albacar LO, Specialty Minerals) were used in
experiments. A blend of these two samples (90 wt% UKSW and 10 wt% PCC) was also
prepared for measurements. A previous study reported that the Albacar LO PCC was
rather coarse, with a mean size of 2.2 µm [6].
4.1.2 BDDJ screening
UKSW pulp was diluted in water with the concentration of 2.06 (gram of dry mass of
pulp per volume of water). In order to obtain a fines fraction, a Britt Dynamic Drainage
Jar (BDDJ) was used in which fines passed through a mesh with 75 μm holes. BDDJ is
a fractionator, which is commonly used to separate fines from fibers. According to the
standard of BDDJ, 0.5 of dry pulp was diluted in 2500ml of water.
In order to estimate the amount of fines collected in each of BDDJ trials, BDDJ dilution
was filtered by vacuum filtration. The filter paper was dried in an oven over night at
110°C. For the 0.5 g of the pulp, 0.0117 g of fines was obtained. A relatively high
sample concentration was needed for the ImageStream measurements in order to
analyse a sufficient number of particles. Since the concentration of fines in BDDJ
dilution is relatively low (4.68×10-3 g/l), the BDDJ screening was modified and only
1000 ml of water was used instead of 2500 ml. Therefore, a concentration of 1.17×10-2
g/ l was prepared.
The details of sample preparation for each characterization method are described in the
corresponding section.
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4.2 Measurement instruments
4.2.1 Overview
An overview on the specifications of the different measurement methods is given in
Table 1.
Table1: Overview of measurement properties of different methods used in this work [21].
LD IS20X IS40X IS60X FT+ FT
Resolution ~ 20 nm 0.33
µm/pix
0.5
µm/pix
1.0
µm/pix
~ 3.5
µm/pix
~ 10
µm/pix
Maximum
particle size 2000 µm ~120 µm ~ 9000 µm.
Standard
weighting Volume Number Length
Standard
output SED
Length, Width, Area, CED,
etc. Length, Width
Measurement
time 10 minutes 3 minutes 10-20 minutes
Sample
volume 20 or 60 ml 200 µl 200 ml
4.2.2 ImageStreamX MarkII
An ImageStream X MarkII from Merck Millipore was used. Each suspension was run in
three different objective microscopes with different magnifications (IS20X, IS40X and
IS60X). Each magnification provides different resolution. The specifications for the
different magnifications are given in Table 2.
Table 2: Properties of different magnifications in the ImageStream instrument [21].
Magnification 60X 40X 20X
Resolution 0.33 µm/pixel 0.5 µm/pixel 1.0 µm/pixel
Field-of-view 40 x 170 µm 60 x 256 µm 120 x 512 µm
Depth-of-focus 2.5 µm 4.0 µm 8.0 µm
In the figure 9 below, an overview over the ImageStream platform is schematically
shown. Particles in a suspension are hydrodynamically focused and illuminated by a red
bright field and a laser with a wavelength of 488nm. A microscope objective collects
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fluorescence, transmitted and scattered light, and then a dichroic filter split them into six
images (see Figure 9) in different ranges of wavelengths. These images are directed
onto the surface of a charge coupled device (CCD) camera, and saved for further
analysis by the IDEAS software [20]. In this study, only the visual image (Ch01) was
used.
Figure 8. An example of sub-images of sample from the IS60X in different wavelengths, as they
appeared in the IDEAS software.
Figure 9. Schematic hardware of ImageStream.
In the measurement of the stock samples, a sample of 100 μl of the suspension was
added into a plastic tube, and was placed in the system. To allow for estimation of the
measurement uncertainty, each measurement was repeated five times. Each
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measurement was done in about 3 minute, with 10000 images of separate particles
being captured in each run. The magnification was then changed, and the procedure was
repeated until all three magnifications had been used.
All the images were collected for analysis by the IDEAS software (Image Data
Exploration and Analysis Software, Amnis Corporation, USA). The five measurements
from the same suspension, which were run with the same magnification, were then
merged into a single file. Automatic image corrections such as background subtraction
were made by the analysis software.
In each run, SpeedBeads which are particles that test and calibrate the instrument’s
illumination, optical, camera and fluidic systems, are mixed into the sample. In addition
SpeedBeads provide run-time information, which helps continuous synchronization
between the camera and the sample flow rate. But images containing these SpeadBeads
were not continent to our experiments, and were therefore deleted using a template
defined in analysis software, IDEAS. A template is simply a set of instructions for
further analysis. The definition for features, graphs, regions and populations are
instructed in the default template. Figure 10 shows an example of a template.
Figure 10. Regions containing particles with different estimated types can be defined in template.
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Although the template defines the region of our interest, it still contains some images of
the SpeadBeads. It is almost impossible to adjust a perfect region, which contains only
the particles we want to characterize. Besides, there are sometimes multi particles in one
single image, or poorly focused images which make the measurements complicated.
These images can be “tagged” and be collected as a separate population folder.
This population can then be omitted, when defining the final analysis population
(Figure 10). When all the images were ready for characterization, the desired properties
to measure (length, width, area and perimeter) were featured for the final population.
The result data was collected as a text file.
Figure 11 Tagged images are collected in a folder and removed from the final analysis population.
4.2.3 FiberTester and FiberTester+
The FiberTester (FT) and FiberTester+ (FT+) from L&W are image-based fibre
analysers. The FT+ provides a slightly different result than the FT since it captures
images of detected particles with a higher resolution. Because of the higher resolution, it
is possible to detect both fibrils and fibers with the FT+. In addition, fines can be
classified in P (primary) and S (secondary) fines using the FT+.
Another technical difference between the two instruments is that the images are
captured in a shorter time in the FT+ so that the fibres won’t get enough time to move
during the capturing time. This will lead to slightly higher values of size presented in
FT in comparison with FT+.
During the FT+ measurements, 100-200 ml of each sample was added to a beaker. All
the beakers containing sample suspensions were placed on the sample-changer carousel.
Each test was done by approximately 10 minutes, including dilution and flushing and
measurement, depending on whether maximum number of particles (set to 100000
22
particles) was analysed or the maximum running time was reached. The same procedure
was applied when using the FT.
FT and FT+ data results usually length-weighted. However, when raw data is obtained
for each particle, as in this study, it is number-weighted.
For each particle detected in the FT and FT+, a value for A (area) and P (perimeter) is
derived in the hardware of the camera. From these parameters the rectangle-equivalent
length and width is calculated as follows:
𝐴 = 𝐿𝑊 (1)
𝑃 = 2𝑊 + 2𝐿 (2)
Since𝐿 ≫ 𝑊, then the equations above can be modified as follows (ER stands for
equivalent rectangle):
𝐿ER= 𝑃/2 (3)
𝑊ER= 2𝐴/𝑃 (4)
Equivalent rectangle length and width are the parameter of a rectangle whose area is
the same as the particles.
Equivalent rectangle length and width is then reported for each detected particle as a
text file.
Figure 12. Values of width and length of an equivalent rectangle whose area matches that of the
particle’s image was measured.
23
4.2.4 Mastersizer 2000 (laser diffraction)
The laser diffraction method was applied using a Mastersizer 2000 from Malvern
Instruments, using the universal liquid module. Three batches of suspensions as
explained before were prepared as measuring samples. Measuring conditions were as
follows: Sample refractive index 1.38 to 1.56 (estimation of refractive index is
explained below), running time was 1 minute. Between each sample measurement, a
sample of water was run in order to clean the fluid container. For each sample, the
measurement was repeated and an average of the two measurements was given. The
data was extracted and then analysed using the Mastersizer2000 analysis software.
As mentioned before, in order to interpret results from the Mastersizer, the refractive
index of the particles needed to be estimated in advance. Choosing correct values of
refractive index is an important key to obtain accurate result from laser diffraction
particle size measurements.
Refractive index is most crucial for spherical or/and transparent particles or when the
sizes of the particles are close to wavelength of the light and when RI of the particle is
close to that of the fluid, and least crucial for non-spherical or/and opaque particles or
when the sizes of the particles are relatively larger than wavelength of the light and
when RI of the particle is larger than that of fluid.
The refractive index of PCC was obtained from tabled values, based on the assumption
that it did not change when the particle was suspended in water. For the UKSW and
mixed samples, the refractive index was calculated based on a mixing rule [21]. The
chemical composition and water content of the fines was accounted for.
Table 3. Estimated refractive index of the stock samples. In all cases, the extinction coefficient was
estimated to be negligible.
Stock sample UKSW PCC Mix
Refractive index 1.38 1.56 1.47
In the analysis software, the refractive index was set for each sample, and the particle
size distribution was generated for 50 logarithmically spaced sizes ranging from
0.02 µm to 1000 µm. The data was then exported as a text file.
Figure 13 below shows that the refractive index plays an important role when applying
the Mie theory. It shows how the size distribution of the mix sample varies with
different values of refractive index.
24
Figure 13 Influence of refractive index on a result of a particle size distribution obtained using the LD
method.
LD gives only a single size descriptor, the equivalent sphere diameter, while the
ImageStream, FT and FT+ give several. This makes the comparison of data
complicated. Therefore, in order to meaningfully conduct the quantitative data
comparison between LD and other methods, an additional Matlab analysis was required.
5 MATLAB Analysis As discussed before, laser diffraction reports values of equivalent sphere diameter
(ESD) for the particles as the only size descriptor. In order to conduct a meaningful data
comparison between LD and other methods, one has to estimate ESD for the same
samples from all the other methods (FT, FT+ and ImageStream). They also needed to be
volume-weighted. Another set of comparison between image-based analysis instruments
was also done. Then, the data from the imaging analysis methods was area-weighted.
The values of equivalent rectangle width and length for ImageStream data were
calculated directly from area and perimeter according to Equations (1) and (2). The
aspect ratio (length/width) was calculated as equivalent rectangle length per equivalent
rectangle width. Particles with aspect ratio less than 1.33 were assumed spherical and
ESD for them was considered equal to the equivalent circle diameter (ECD) which is
the diameter of a circle whose area is equal to the area of the particle. For other particles
with aspect ratio higher than 1.33, ESD was considered as the diameter of a sphere
whose volume is equal to the volume of a cylinder with WER and LER dimensions.
0
1
2
3
4
5
6
7
8
9
10
11
0,0 0,1 1,0 10,0 100,0 1000,0
Vo
lum
e in
bin
%
Equivalent Sphere Diameter
UKSW RI : 1,38
Mix RI : 1,4
Mix RI : 1,42
Mix RI : 1,44
Mix RI : 1,46
Mix RI : 1,48
Mix RI : 1,5
Mix RI : 1,52
Mix RI:1,54
PCC RI:1,56
25
In order to be able to compare the results for the different methods, the histograms of
volume-weighted ESD data obtained from image-based analysers with bin-sizes and
range equal to the logarithmic x-axis of graph of Mastersizer was produced. For the
image-based comparisons, area-weighted values of length and width of particles were
plotted.
A=L+W
P=2L+2W
ImageStream(A,P)
LER
= P/2
WER
= 2A/L
AR=LER
/WER
AR<1.33 AR>1.33
ESD=ECD= (4A/π)1/2
ESD= ((3/2)WER 2 LER)
1/3
Figure 14. Algorithm of obtaining ESD values from FT, FT+ and ImageStream.
FT,FT+(L,W)
w
L
ESD
ECD
Figure 15. Equivalent sphere diameter was calculated from WER and LER for AR higher than 1.33
and from ECD for AR lower than 1.33.
WER
LER ESD
ECD ESD
26
6 Results and discussion
6.1 Image-based and LD methods comparison
As described before, the only characterization parameter that can be defined for all the
instruments, is Equivalent Sphere Diameter (ESD). The values for this parameter was
obtained directly from LD, and calculated from other parameters in other methods. The
figures below show the ESD vs volume for all three samples by various instruments.
The values are volume-weighted.
The data in figure 16 demonstrates clear differences in ESD for UKSW between
different analysers. Fine particles with ESD values lower than 6 μm are not seen in the Mastersizer (LD method) data, despite the common expectation that Mastersizer should be able to detect particles with ESD≥ 0.2 μm. However, Mastersizer seems to
be in better agreement with other methods in detecting small PCC particles compared to
the UKSW result, since the minimum size detected for ESD of PCC by Mastersizer is
shifted to lower than 1.5μm. Possible explanation is that PCC particles have higher light
scattering than fines and therefore Mastersizer suits better for PCC particles than
cellulose fines.
As mentioned before refractive index is most crucial for spherical or/and transparent
particles or when the sizes of the particles are close to wavelength of the light and when
RI of the particle is close to that of fluid, and least crucial for non-spherical or/and
opaque particles or when the sizes of the particles are relatively larger than wavelength
of the light and when RI of the particle is larger than that of fluid. Considering this
important point that RI of UKSW is relatively close to RI of the fluid, which is water
(1.33) might explain why LD performed poorer for UKSW. Also UKSW are likely to
be more transparent than PCC particles since cellulose fibres generally absorb water and
swell.
Aside from that, since in LD particles are considered spheres, one could expect better
compatibility of results of LD with other methods for particles with lower aspect ratio.
PCC particles are produced and are supposed to have a known (regular) structure
compared to wood fines that are extremely irregular; therefore a narrower size
distribution for PCC is supposed to be obtained compared to UKSW. Comparing the
results for PCC and the other two samples containing UKSW shows better compatibility
for PCC results as expected.
For the LD results of the mix sample two peaks for PCC and fines were obtained. The
graph shows that the results are more dominated by fines rather than PCC particles. This
was expected since only 10wt% of the mix consists of PCC. In addition, cellulosic fine
particles are larger than PCC particles, and also PCC particles tend to deposit on
cellulosic fines, therefore they might not be under-counted in the measurements. Also
27
considering the fact that the measurements of LD are set up to account for the particles
as a volumetric weighting, and since PCC particles are denser than fine PCC particles
are expected to be partly disappear in the mixture measurements with LD.
Comparing FT and FT+ for all three samples, demonstrates that FT+ is able to detect
smaller particles and that is because FT+ has a higher resolution than FT. Apart from
that FT shows statically higher values than FT+ as if FT observes the same particles
bigger than what they are observed by FT+. The possible explanation is that since
lighting time is shorter in FT+ than in FT, particles have less time to move while they
are captured by the camera. So, particles are observed smaller in size in FT+. FT results
show an overestimation for all three samples with significantly large ESD. As particle
size increases, fewer particles are measured, and statistically a lower number of large
particles can influence particle size distribution, since the data is volume weighted.
Completely different results were obtained from LD and ImageStream for UKSW and
also the mixture sample with a very small overlap. Looking at the graphs and comparing
ImageStream results with other methods implies a major shift towards smaller size. It
indicates that ImageStream presents data for small particles, which are not visible to LD
or FT+. The 20X magnification of ImageStream results show a strong peak for all three
samples. The stronger influence of larger particles on volume-based data, as the number
of them is reduced (since 20X detects larger particles than 40X and 60X) could be an
explanation to this phenomenon.
28
Figure 16. ESD for UKSW by various instruments.
Figure 17. ESD for PCC by various instruments.
29
Figure 18. ESD for the mixture of PCC and UKSW sample by various instruments.
Figure 19. Laser diffraction results for all three samples.
30
Figure 20. ImageStream 20X Length
distribution for all the samples
Figure 21. ImageStream 40X Length
distribution for all the samples
Figure 22. ImageStream 60X Length
distribution for all the samples
31
Figure 23. FT length
distribution for all the
samples.
Figure 24. FT+ length
distribution for all the
samples.
32
6.2 Image-based methods comparison
Area-weighted width and length data from all three methods were plotted. The data in
figures below indicates that ImageStream performed best for the smallest particles. On
the other hand, only larger particles are detected by FT as expected due to the lower
resolution compared to FT+ and ImageStream. The minimum and maximum values of
particles detected by various methods are reported in the tables below.
FT FT+ IS20X IS40X IS60X PCC max 3363 59 53 60 43.667 PCC min 15 4 4 3 2 UKSW max 4131 792 106 92 114.67 UKSW min 15 4 4 2 1.8333
Table 5. Min and max values of Equivalent rectangle length (𝜇𝑚) obtained from
various methods.
FT FT+ IS20X IS40X IS60X PCC max 78.9 59.3 6.6327 9.8333 5.5196 PCC min 11.3 4.8 0.25 0.25 0.16667 UKSW max 78.2 68.9 13.978 6.6566 10.623 UKSW min 9.1 3.5 0.25 0.125 0.16667 Table 6. Min and max values of Equivalent rectangle width (μm) obtained from various methods.
33
Figure 25. Equivalent rectangle length distribution for UKSW by image-based methods.
Figure 26. Equivalent rectangle width distribution for UKSW by Image-based methods.
34
Figure 27. Equivalent rectangle length distribution for PCC by image-based methods.
Figure 28. Equivalent rectangle width distribution for PCC by Image-based methods.
35
7 Conclusions Laser diffraction has been widely used in size characterization studies of fines, as
image-based instruments have had insufficient resolution and dynamic range. This study
Figure 29. Equivalent rectangle length distribution for mixture sample by Image-based methods.
Figure 30. Equivalent rectangle width distribution for mixture sample by Image-based methods.
36
compared laser diffraction measurements to measurements with image-based
instruments with different resolutions.
Differences between the measurements principles and also hardware of different
characterization methods made the data evaluation between them challenging. Image
analysis typically report more than one size descriptor, while LD measures equivalent
sphere diameter as the only size descriptor. However a correlation between the results
can be made by recalculating the length and width data from image analysis into
volume-weighted equivalent sphere diameter.
The results from image-based methods were transferred to ESD and were plotted
together with LD results. The effect of the differences in resolution and dynamic ranges
of the image analysis instruments was clear. The highest-resolution instrument, the
ImageStream, performed well for small particles but could not simultaneously measure
the largest due to its limited dynamic range. The FT and FT+ was better for relatively
large particles, and the FT+ could also measure some of the smaller material.
LD was clearly unsatisfactory for measuring UKSW fines and also the mixture of fines
and filler. While LD claims a resolution high enough to detect nanofibril aggregates
(20nm), no fines particles smaller than ~3µm were seen in the data. However a more
reasonable size distribution for PCC was obtained from LD.
In summary, LD was not found to be better for fines characterization than the high-
resolution image based instruments. However, as flow imaging is limited by the
diffraction limit, resolutions better than ~200nm are unlikely to be achieved. Thus, none
of the investigated instruments has the potential to detect cellulose micro/nano-fibrils; a
particle type where there is a great demand for a quantitative and statistical analysis
method.
In future work non-optical characterization methods could be a subject of research for
characterization of fines and fillers, since these methods are not influenced by optical
properties of the particles. One such method is Tunable Resistive Pulse Sensing
(TRPS). And finally caution needs to be considered regarding refractive index when
using LD method for a mixture of two different materials with very different range of
size and chemical composition. Dedicated measurements of the refractive index of wet
fibres, fines, and fillers would be valuable future work.
37
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