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The use of 3D prints to assess the influence of shape on particle size distribution in the laser diffraction method

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Abstract

Particle size distribution (PSD) is an important characteristic of many materials. Increasingly, this characteristic is determined using the laser diffraction method (LDM). Theoretical assumptions of LDM are, i.a. the spherical shape of the measured particles and their random orientation. These criteria are often not met. 3D prints were used to test the impact of shape on LDM PSD and to monitor particle flow with high-speed camera. It can be noticed that when the shape of the examined particles differs from a spherical shape, PSDs obtained with the use of LDM are burdened with an error that is difficult to estimate. Moreover, the more the aspect ratio value deviates from unity, the more the distribution shifts towards larger particles. It was noticed that in the case of cylinders there were no particle rotations in about 70% of cases. A lack of rotation was also observed for hemispheres—in about 16% of cases. Minimization of the errors resulting from the influence of the shape (and the related lack of rotation) of the measured particles on the obtained results may be achieved by designing the measuring cell of the diffractometer in such a way that rotation would be forced.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Guner G, Kannan M, Berrios M, Bilgili E (2021) Use of bead mixtures as a novel process optimization approach to nanomilling of drug suspensions. Pharm Res 38:1279–1296. https://doi.org/10.1007/s11095-021-03064-2

    Article  Google Scholar 

  2. Calvez I, Szczepanski CR, Landry V (2021) Preparation and characterization of low gloss UV-curable coatings based on silica surface modification using an acrylate monomer. Prog Org Coat 158:106369. https://doi.org/10.1016/j.porgcoat.2021.106369

    Article  Google Scholar 

  3. Gan C, Luo W, Yu Y, Jiao Z, Li S, Su D, Feng J, Zhao X, Qiu Y, Hu L, Zhou D, Xiong X, Wang J, Yang H (2021) Intratracheal inoculation of AHc vaccine induces protection against aerosolized botulinum neurotoxin A challenge in mice. Npj Vaccines 6:87. https://doi.org/10.1038/s41541-021-00349-w

    Article  Google Scholar 

  4. Makó A, Szabó B, Rajkai K, Szabó J, Bakacsi Z, Labancz V, Hernádi H, Barna G (2019) Evaluation of soil texture determination using soil fraction data resulting from laser diffraction method. Int Agrophys 33:445–454. https://doi.org/10.31545/intagr/113347

    Article  Google Scholar 

  5. Stojanovska Pecova M, Geskovski N, Petrushevski G, Makreski P (2021) A novel method for rapid particle size analyzis of ibuprofen using near-infrared spectroscopy. AAPS PharmSciTech 22:268. https://doi.org/10.1208/s12249-021-02156-x

    Article  Google Scholar 

  6. Pan L, Ge B, Zhang F (2017) Indetermination of particle sizing by laser diffraction in the anomalous size ranges. J Quant Spectrosc Radiat Transf 199:20–25. https://doi.org/10.1016/j.jqsrt.2017.05.022

    Article  Google Scholar 

  7. Bieganowski A, Ryżak M, Sochan A, Barna G, Hernádi H, Beczek M, Polakowski C, Makó A (2018) Laser diffractometry in the measurements of soil and sediment particle size distribution. In: Advances in agronomy. pp 215–279. https://doi.org/10.1016/bs.agron.2018.04.003.

  8. Pabst W, Berthold C, Gregorova E (2006) Size and shape characterization of polydisperse short-fiber systems. J Eur Ceram Soc 26:1121–1130. https://doi.org/10.1016/j.jeurceramsoc.2005.01.053

    Article  Google Scholar 

  9. Kelly RN, Kazanjian J (2006) Commerical reference shape standards use in the study of particle shape effect on laser diffraction particle size analyzis. AAPS PharmSciTech 7:E126–E137. https://doi.org/10.1208/pt070249

    Article  Google Scholar 

  10. Xu R, Di Guida OA (2003) Comparison of sizing small particles using different technologies. Powder Technol 132:145–153. https://doi.org/10.1016/S0032-5910(03)00048-2

    Article  Google Scholar 

  11. Dur JC, Elsass F, Chaplain V, Tessier D (2004) The relationship between particle-size distribution by laser granulometry and image analyzis by transmission electron microscopy in a soil clay fraction. Eur J Soil Sci 55:265–270. https://doi.org/10.1111/j.1365-2389.2004.00597.x

    Article  Google Scholar 

  12. Campbell JR (2003) Limitations in the laser particle sizing of soils. In: Roach IC (ed) Advances in Regolith, CRC LEME. pp 38–42

  13. Polakowski C, Sochan A, Bieganowski A, Ryzak M, Földényi R, Tóth J (2014) Influence of the sand particle shape on particle size distribution measured by laser diffraction method. Int Agrophys 28:195–200. https://doi.org/10.2478/intag-20014-0008

    Article  Google Scholar 

  14. Gabas N, Hiquily N, Laguérie C (1994) Response of laser diffraction particle sizer to anisometric particles. Part Part Syst Charact 11:121–126. https://doi.org/10.1002/ppsc.19940110203

    Article  Google Scholar 

  15. Polakowski C, Ryżak M, Bieganowski A, Sochan A, Bartmiński P, Dębicki R, Stelmach W (2015) The reasons for incorrect measurements of the mass fraction ratios of fine and coarse material by laser diffraction. Soil Sci Soc Am J 79:30–36. https://doi.org/10.2136/sssaj2013.07.0286

    Article  Google Scholar 

  16. Mühlenweg H, Hirleman ED (1998) Laser diffraction spectroscopy: influence of particle shape and a shape adaptation technique. Part Part Syst Charact 15:163–169. https://doi.org/10.1002/(SICI)1521-4117(199808)15:4%3c163::AID-PPSC163%3e3.0.CO;2-8

    Article  Google Scholar 

  17. Tinke AP, Carnicer A, Govoreanu R, Scheltjens G, Lauwerysen L et al (2008) Particle shape and orientation in laser diffraction and static image analyzis size distribution analyzis of micrometer sized rectangular particles. Powder Technol 186:154–167. https://doi.org/10.1016/j.powtec.2007.11.017

    Article  Google Scholar 

  18. Naito M, Hayakawa O, Nakahira K, Mori H, Tsubaki J (1998) Effect of particle shape on the particle size distribution measured with commercial equipment. Powder Technol 100:52–60. https://doi.org/10.1016/S0032-5910(98)00052-7

    Article  Google Scholar 

  19. Berthold C, Klein R, Lühmann J, Nickel KG (2000) Characterization of fibres and fibre collectives with common laser diffractometers. Part Part Syst Charact 17:113–116

    Article  Google Scholar 

  20. Dolenc A, Govedarica B, Dreu R, Kocbek P, Srcic S et al (2010) Nanosized particles of orlistat with enhanced in vitro dissolution rate and lipase inhibition. Int J Pharm 396(1–2):149–155. https://doi.org/10.1016/j.ijpharm.2010.06.003

    Article  Google Scholar 

  21. Heffels CMG, Verheijen PJT, Heitzmann D, Scarlett B (1996) Correction of the effect of particle shape on the size distribution measured with a laser diffraction instrument. Part Part Syst Charact 13:271–279. https://doi.org/10.1002/ppsc.19960130504

    Article  Google Scholar 

  22. Pieri L, Bittelli M, Pisa PR (2006) Laser diffraction, transmission electron microscopy and image analyzis to evaluate a bimodal Gaussian model for particle size distribution in soils. Geoderma 135:118–132. https://doi.org/10.1016/j.geoderma.2005.11.009

    Article  Google Scholar 

  23. Konert M, Vandenberghe J (1997) Comparison of laser grain size analyzis with pipette and sieve analyzis: a solution for the underestimation of the clay fraction. Sedimentology 44:523–535. https://doi.org/10.1046/j.1365-3091.1997.d01-38.x

    Article  Google Scholar 

  24. International Organization for Standardization, ISO 13320:2020 Particle size analyzis—Laser diffraction methods. International Organization for Standarisation, Geneva, Switzerland (2020)

  25. Bowen P, Sheng J, Jongen N (2002) Particle size distribution measurement of anisotropic—particles cylinders and platelets—practical examples. Powder Technol 128:256–261. https://doi.org/10.1016/S0032-5910(02)00182-1

    Article  Google Scholar 

  26. Pabst W, Mikač J, Gregorová E, Havrda J (2002) An estimate of orientation effects on the results of size distribution measurements for oblate particles. Ceram Silikáty 46:41–48

    Google Scholar 

  27. Sochan A, Zieliński P, Bieganowski A (2015) Selection of shape parameters that differentiate sand grains, based on the automatic analyzis of two-dimensional images. Sed Geol 327:14–20. https://doi.org/10.1016/j.sedgeo.2015.07.007

    Article  Google Scholar 

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Acknowledgements

The study was financed by the National Science Centre, Poland [2019/03/X/ST10/00330].

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Authors and Affiliations

  1. Institute of Agrophysics, Polish Academy of Sciences, Doswiadczalna 4, 20-290, Lublin, Poland

    Cezary Polakowski, Magdalena Ryżak, Agata Sochan, Michał Beczek, Rafał Mazur & Andrzej Bieganowski

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  1. Cezary Polakowski
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  2. Magdalena Ryżak
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  3. Agata Sochan
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  4. Michał Beczek
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  5. Rafał Mazur
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  6. Andrzej Bieganowski
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Contributions

Conceptualisation was contributed by Cezary Polakowski and Andrzej Bieganowski; validation was contributed by Cezary Polakowski, Rafał Mazur, and Michał Beczek; formal analysis was contributed by Cezary Polakowski, Magdalena Ryżak and A.S.; investigation was contributed by Cezary Polakowski, Michał Beczek, Rafał Mazur; resources were contributed by Magdalena Ryżak; writing—original draft preparation, was contributed by Cezary Polakowski; writing—review and editing, was contributed by Cezary Polakowski, Magdalena Ryżak, A.S., Michał Beczek, Rafał Mazur, and Andrzej Bieganowski; visualisation was contributed by Cezary Polakowski; supervision was contributed by Andrzej Bieganowski; funding acquisition was contributed by Cezary Polakowski. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Cezary Polakowski.

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Polakowski, C., Ryżak, M., Sochan, A. et al. The use of 3D prints to assess the influence of shape on particle size distribution in the laser diffraction method. Comp. Part. Mech. 10, 241–248 (2023). https://doi.org/10.1007/s40571-022-00489-3

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  • DOI: https://doi.org/10.1007/s40571-022-00489-3

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