the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Look−up tables for complex refractive index correction of particle sizes measured by common research−grade optical particle counters
Abstract. Optical particle counters (OPC) are widely used to measure the aerosol particle number size distribution over a large size range encompassing sub- and super-micron diameters. The measurement principle of OPCs is based on the dependence of light scattering on particle size. However, this dependence is not monotonic at all sizes as light scattering also depends on the particle composition (i.e., the complex refractive index, m) and morphology. Therefore, the conversion of the measured scattered intensity to the particle size depends on the microphysical properties of the sampled aerosol population and might not be unique at all sizes. While these complexities have been considered before, corrections are typically applied ad-hoc and are not standardised. This paper addresses this issue by providing a consistent and extended database of pre−computed correction factors for a wide range of complex refractive index values representing the composition variability of atmospheric aerosols. These correction factors are calculated for five different commercial OPCs by assuming Mie theory for homogeneous spherical particles, and by varying the real part of the complex refractive index between 1.33 and 1.75 in steps of 0.01 and the imaginary part between 0.0 and 0.4 in steps of 0.001. The datasets are distributed for data users/geophysicists using number size distribution measurements from OPC for their research on atmospheric aerosols. Application and caveats of the corrections factors are discussed, and key recommendations are provided to ensure the robustness and consistency of size distribution datasets.
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Status: open (until 23 Jul 2026)
- RC1: 'Comment on ar-2026-20', Wladyslaw Szymanski, 29 Jun 2026 reply
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RC2: 'Comment on ar-2026-20', Anonymous Referee #2, 30 Jun 2026
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The subject of the present manuscript is relevant with Aerosol Research topic’s, specifically addressing the issue of the impact of complex refractive indices on the size classification of optical particle counters by providing a dataset of correction factor. The approach described in this paper is thoroughly delineated and may be generalized to other optical particle counters (e.g. the OPS3330) and certain low-cost sensors.
Comments:
1-I recommend to check Grimm description. According to the GRIMM publication, a single elliptical mirror is utilized, with light scattering being collected between 60 and 120°. Such opening angle may change the results describe in this paper. Indeed, Mie oscillations are expected to be more pronounced.
2-Please note that Equation 1 refers to the geometric bin diameter, not the midpoint diameter.
3-Use coherent writing for geometric diameter along the paper: Dgeom and after Dgeo
4-Line 65: OPC is based on single-particle counting. Please suppress “ensembles”
5-Please provide justification for the sentence appearing on lines 137 to 139
6-In Table 1, I believe that 'direct beam' and 'reflected beam' should be inverted. The range of 30-150° (GRIMM) corresponds to the angular aperture where light is reflected by the mirror. The range of 81-98° corresponds to the angular aperture where light is directly collected by the detector.
7-Line 210 to 222: please add units
8-Figure 2 does not contain any dotted lines. Please correct the text on lines 298-299.
9-Figure 3 does not contain any black lines. Please correct the figure legend.
10-The majority of low-cost sensors have a poor size resolution (five bins) and significant sizing errors caused by the position of particles in the laser beam (see references below). As far as I am aware, only a few LCSs have a good degree of classification accuracy and size resolution (OPC-N3, OPC-R2, SDS029). This aspect should be considered during the discussion.
Ouimette, J. Arnott, W.P., Laven, P., Whitwell, R., Radhakrishnan, R., Dhaniyala, S., Sandink, M., Tryner, J., and Volckens, J. 2024. Fundamentals of low-cost aerosol sensor design and operation. Aerosol Sci. Tech. 58 (1): 1-15. doi: 10.1080/02786826.2023.2285935
Pribošek, J. and G. Röhrer. 2018. Estimation of the particle sizing error due to particle position in an integrated PM2.5 optical particle counter. Proceedings 2 (13): 850-. doi: https://doi.org/10.3390/proceedings2130850
11-Sphericity is a rare particle shape characteristic. A brief discussion on the potential impact of shape on the correction factor would be beneficial. I would encourage the authors to investigate this aspect, as this would represent a significant step forward and useful.
12-It’s not possible to access the MIE routine via the provided link; furthermore, the DOI does not respond.
13-It can be hard to read the labels and axes of the graph. Please check all the figures, including the one in the supplementary material.
Citation: https://doi.org/10.5194/ar-2026-20-RC2
Data sets
Look−up tables resolved by complex refractive index to correct particle sizes measured by common research−grade optical particle counters P. Formenti and C. Di Biagio https://doi.org/10.57932/36ba1ebc-604c-4d6c-a3a8-7dc2de952241
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When using optical particle counters (OPCs) to measure airborne particles, the unknown complex refractive index is one of the main sources of uncertainty in particle sizing. This manuscript addresses this issue by providing correction factors for specific instruments. Although all but one of the instruments are from the same manufacturer, the procedure used to obtain the correction factors is clearly described and could be applied to other spectrometers with different scattering geometries.
Specific comments:
Numerical and experimental study of the performance of the dual wavelength optical particle spectrometer (DWOPS), Nagy et al. https://doi.org/10.1016/j.jaerosci.2007.02.005
Optical particle spectrometry—Problems and prospects, Szymanski et al. https://doi.org/10.1016/j.jqsrt.2009.02.024.
Real-Time Determination of Absorptivity of Ambient Particles in Urban Aerosol in Budapest, Hungary, Nagy et al. https://doi.org/10.4209/aaqr.2015.05.0356