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Static Image Analysis of Toner Particles

Toners are colorants for electrostatic printing processes. Toner is a very fine powder consisting of 5 to 30 μm particles. Due to the very small particle size, the powder is flowable and behaves like a liquid. Toner is composed of synthetic resin, pigments, magnetizable metal oxides and various auxiliary substances.

Toners are mainly used in photocopying machines and laser printers to create a print image on paper. Laser toner cartridges for use in copiers and printers come in sets of cyan, magenta, yellow and black (CMYK), allowing a very large variety of colors to be generated by mixing (Fig. 1).

The demands placed on the toner are very high: On the one hand, it must meet the requirements with regard to the printing result, on the other hand, the toner should adhere to as many materials as possible, except for the device itself (fixing rollers). Furthermore, it must meet the technical requirements of the device, must not accept moisture and must remain consistent in its consistency until use.

To ensure these consistent material properties, precise characterization of particle size and particle shape with an according particle analyzer is crucial.

Static Image Analysis of Toner Particles - Figure 1
Figure 1: 
Left: Typical toner cartridges for use in laser printers. Right: Toner samples submitted for analysis in a Microtrac laboratory, from left to right: black liquid, black powder, yellow liquid and yellow powder.
Particle Size and Shape Analyzer Camsizer M1

Learn more about the Static Image Particle Analyzer used in this application note.

Solution Static Image Analysis with the CAMSIZER M1

CAMSIZER M1 uses the measuring principle of static image analysis to determine the particle size and particle shape in a range from 0.5 μm to 1500 μm. The basis of the analyzer is a powerful microscope whose hard- and software is optimized for automated particle analysis.

For static image analysis (acc. to ISO 13322-1) the sample needs to be placed on an object slide or other carrier and is moved by an automatic sample stage to be photographed step by step by an 18.1 Megapixel camera. The sample remains static during image acquisition which ensures images of high quality and richness of detail.

Up to six different magnifications and the precise sample stage with a position accuracy of <3 μm ensure optimum measurement conditions over the entire measuring range. The results are displayed as size and shape distributions with a variety of configurable measurement parameters. The Particle X-Plorer software allows for subsequent display and analysis of every single recorded particle.

For the sample preparation of dry powders, such as toner particles, the M-Jet module is available, see Fig. 2 on the right.

Sample Preparation

Black toner and yellow toner, both as powder and as suspension have been submitted for analysis (four samples altogether, Fig. 1, right). As preparation for the analysis the two suspensions, two drops each were placed on a slide and covered with a coverslip. For the undiluted samples, about 10% of the image area was covered by the particles, as a result of which many overlays were detected (Fig 3, left). The samples were therefore diluted until a covered area of 0.5 - 1% was reached. For the diluted samples, almost all particles are well separated from each other, the effect of the overlays can therefore be neglected (Fig. 3, right). The two powder-like toner samples have been dispersed on a glass slide with the M-Jet module (70 kPa pressure).

Static Image Analysis of Toner Particles - Figure 3a
Static Image Analysis of Toner Particles - Figure 3b
Figure 3: 
Left: Toner particles in liquid, original concentration -> many agglomerates. Right: Toner particles in liquid, diluted -> particles separated. CAMSIZER M1 images, 20 x magnification
The toner particle samples were measured with the CAMSIZER M1 with the size definitions xc min (width), x area (circle equivalent diameter) and xFe max (length). Simultaneously the shape of particles is detected. The instrument was set up for transmitted light and 20 x magnification. Additional tests have been made with 50 x magnification. A detailed description of the size and shape definitions can be found in the appendix.
Analysis time Number of particles Field size Number of images
Yellow liquid 7 min 24 s 17 737 15.0 x 8.8 1017
Black liquid 7 min 0 s 11 697 12.1 x 10.3 961
Yellow dry 16 min 9 s 41 373 17.1 x 18.5 2426
Black dry 27 min 14 s 30 603 16.3 x 35.1 4384

Table 1:
Typical measurement conditions for toner particle samples wet / dry at 20 x magnification.

Results

In the following diagrams the size distribution is expressed by:

  • Cumulative distribution Q3
  • Frequency distribution q3

20 x or 50 x magnification?

Fig. 4 shows a comparison between analysis at 20 x and 50 x magnification. The results are almost identical. Therefore, it is reasonable to measure with the lower magnification because this results in significantly shorter analysis time.

Static Image Analysis of Toner Particles - Figure 4

Figure 4: 
Graphs of the black dry toner particles sample, size definition X c min. with 20 x (red) and 50 x magnification (blue).

Repeatability

The yellow liquid sample has been measured three times (Fig. 5). The repeatability of the results is excellent.

Static Image Analysis of Toner Particles - Figure 5

Figure 5: 
Three consecutive measurements of the yellow toner liquid sample. Size definition xc min with magnification 20 x. First measurement: red curve, second measurement: green curve, third measurement: blue curve. Some agglomerates appear as the measurements proceed and the toner sample slowly dries (oversize particles in the third measurement).

Dry samples

Fig. 6 shows a comparison of the size distribution for the two dry powders. The black powder is slightly larger than the yellow powder.

Static Image Analysis of Toner Particles - Figure 6

Figure 6: 
Graphs of dry yellow toner particles sample (red) and dry black toner particles sample (blue) size definition x c min.

Liquid samples

Fig. 7 shows a comparison of the size distribution for the two dry powders. Again, the black powder is slightly larger than the yellow powder.

Static Image Analysis of Toner Particles - Figure 7

Figure 7: 
Graphs of the liquid toner samples, size definition x c min. 20 x magnification. Yellow toner liquid sample (red) and black toner liquid sample (blue)

Particle Size results: Overview

Table 2 shows the percentiles of the Q3 distribution at 10 %, 50% and 90 % (d10, d50, d90) for all three size definitions xc min, xarea and xFe max
The results for the wet and dry measurement of each color are almost identical. It is therefore possible to measure toner in wet or dry mode. However, the concentration of the liquid must not be too high. Dry sample preparation with the M-Jet works equally well as a wet dispersion.

xc min Yellow liquid Black liquid Yellow dry Black dry
D10 [µm] 4.37 4.78 4.05 4.25
D50 [µm] 5.69 6.31 5.21 5.75
D90 [µm] 7.27 7.85 6.79 7.44

xarea Yellow liquid Black liquid Yellow dry Black dry
D10 [µm] 4.88 5.45 4.55 5.09
D50 [µm] 6.29 7.03 5.85 5.58
D90 [µm] 7.78 8.47 7.59 8.17

xFe max Yellow liquid Black liquid Yellow dry Black dry
D10 [µm] 5.09 5.99 4.70 5.73
D50 [µm] 6.98 7.91 6.55 7.61
D90 [µm] 8.81 9.80 9.12 9.76

Table 2: 
d10, d50 and d90 of all four samples, 20 x magnification, size definition x c min, x area and x Fe max

Comparison with Laser Diffraction

Laser diffraction is an established method to measure the particle size distribution in a range from below 100 nm up to 2 mm. It is a very versatile technique, however, the reported size is always based on a sphere model, no information about shape, length or width of the particles is available.

Resolution, sensitivity and accuracy are better for image analysis. Fig. 8 shows a comparison between CAMSIZER M1 xc min, xarea and xFe max with a laser diffraction result. The Q3 curve from laser diffraction is between xcmin and xFe max and wider than xarea. This is very typical for the correlation between laser and image analysis.

Static Image Analysis of Toner Particles - Figure 8

Figure 8: 
Graphs of dry black toner sample CAMSIZER M1, x c min (red), x area (green) and x Fe max (blue) and laser diffraction (black *). The distribution obtained from laser diffraction is wider than the CAMSIZER M1 result. Laser diffraction calculates particle size based on a sphere model. The result is therefore between the width and length measurement of the CAMSIZER M1.

Particle Shape Analysis

Simultaneously with the size measurement, the CAMSIZER M1 detects particle shape. The result of the shape analysis can be presented as a cumulative distribution (Q3). Round, isometric or spherical particles will plot on the right side of the diagram, more elongated, angular or non-spherical particles plot on the left side. Fig. 9 and 10 show the aspect ratio and the roundness of a yellow and black toner sample as Q3 distribution. Shape analysis reveals that the yellow toner is more spherical than the black toner.

Static Image Analysis of Toner Particles - Figure 9

Figure 9: 
Shape graphs of the yellow liquid toner (red) and black liquid toner (blue). Shape parameter aspect ratio (b/l); Xc min divided by xFe max.

Static Image Analysis of Toner Particles - Figure 10

Figure 10: 
Shape graphs of yellow liquid toner (red) and black liquid toner (blue). Shape parameter roundness (RDNS_C).

Toner Particles Evaluation

All particle images acquired during the measurement are saved and can be used for later evaluation. The Particle X-Plorer software offers many possibilities to evaluate images or individual particles. Filter options are available to browse for particles with selected characteristics. In the following, particle examples of both toner samples are presented. Note that all relevant particle size and particle shape data is displayed right next to the according image.

Static Image Analysis of Toner Particles - Figure 11
Static Image Analysis of Toner Particles - Figure 11

Figure 11: 
Example images of the yellow liquid toner sample. All relevant data is displayed next to the particle image. Agglomerates (bottom row) can be easily identified by the low circularity or convexity of the particle. If required, these may be excluded from the evaluation.

Static Image Analysis of Toner Particles - Figure 12a
Static Image Analysis of Toner Particles - Figure 12b

Figure 12: 
Example particles of the black liquid toner sample.

Summary

Particle size analysis and particle shape analysis of all four toner samples was performed with the CAMSIZER M1 static image analyzer. The liquid samples were diluted (2-3 drops in 20 ml deionized water). The dry powders have been dispersed on an object slide with the M-Jet dispersion module. The median is between 5.21 μm and 6.31 μm and the yellow toner particles are slightly smaller than the black toner particles.

Agglomerates may be ignored from the measurement by using a shape filter based on the parameter convexity (particles conv < 0.97 ignored). The repeatability is excellent, as shown in Fig 5. The results can be confirmed by laser diffraction analysis (Fig. 8). Particle shape analysis reveals that the yellow toner particles are more compact, have a higher roundness and higher aspect ratio than the black toner particles. A magnification of 20 x is sufficient to characterize the toner particles. Measurement at 50 x magnification is possible but will lead to longer measurement time if the same number of particles is analysed.

Appendix: CAMSIZER M1 particle size and particle shape parameters

The diagrams below show the most frequently used particle size and shape definitions used in image analysis with CAMSIZER systems.

xc min

"Width"

Figure 13a

Best suited for sieve correlation

xarea

"Diameter of circle with same projection area"

Figure 13b

xFe max

"Length"

Figure 13c
Figure 13d
Figure 13e

Roundness RDNS_C means radius of the corners divided by the radius of the inner circle

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