Yinan Chen1,2,3, Shiguo Zhang1,2,3,4, Yonghua Wu5, Kee Yuan1,3, Jian Huang1,3, Dongfeng Shi1,3, Shunxing Hu This email address is being protected from spambots. You need JavaScript enabled to view it.1,3 

1 Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China
2 Science Island Branch of Graduate School, University of Science and Technology of China, Hefei 230026, China
3 Advanced Laser Technology Laboratory of Anhui Province, Hefei 230037, China
4 Anhui Meteorological Observation Technical Center, Hefei 230031, China
5 Optical Remote Sensing Lab, the City College of New York (CCNY), New York, NY, 10031, USA

Received: June 13, 2023
Revised: September 14, 2023
Accepted: October 18, 2023

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.4209/aaqr.230139  

Cite this article:

Chen, Y., Zhang, S., Wu, Y., Yuan, K., Huang, J., Shi, D., Hu, S. (2023). Analysis of Non-linear Relationship of PM2.5 Mass Concentration with Aerosol Extinction Coefficient and RH in Hefei, China. Aerosol Air Qual. Res. 23, 230139. https://doi.org/10.4209/aaqr.230139


  • Derive a non-linear exponential relationship among PM2.5, aerosol extinction and RH
  • Refine the exponential factors of aerosol extinction and hygroscopic factor
  • Demonstrate the good consistency of the derived-PM2.5 with TEOM-observations.


Optical remote sensing of PM2.5 concentration complements ground-based in situ sampler observations and depends on aerosol extinction-to-mass conversion and meteorological factors. Based on Mie scattering theory, we derived a non-linear analytical expression among the PM2.5 mass concentration, aerosol extinction coefficient, and hygroscopic factor. We analyzed 1-year data of aerosol size distribution, PM2.5, visibility, and relative humidity (RH) and refined the exponential factors for improving PM2.5 estimated from the aerosol extinction coefficient in Hefei, China. Aerosol size distribution data on adjacent days were used to approximate the hygroscopic factors of the aerosols. The measured PM2.5 in 2020 was used to refine the exponential factors relevant to the large aerosol extinction coefficient and RH in the analytical function. Next, we evaluated the derived PM2.5 from aerosol extinction with the tapered element oscillating microbalance (TEOM), which independently observed PM2.5 in January 2021; their comparisons indicated good consistency and strong correlation with a linear correlation coefficient of R2 = 0.76. Finally, by applying the analytical function of PM2.5 and aerosol extinction, we obtained the spatial and vertical distribution of PM2.5 from the NASA/CALIPSO-observed aerosol extinction profiles, which showed reasonable agreement and good correlation with the TEOM-measured PM2.5 in several major cities in Anhui Province, China.

Keywords: PM2.5, Aerosol size distribution, Extinction coefficient, Hygroscopic factor

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