Estimating Hansen solubility parameters of organic pigments by group contribution methods

Markus Enekvist, Xiaodong Liang, Xiangping Zhang, Kim Dam-Johansen, Georgios M. Kontogeorgis*

*Corresponding author for this work

Research output: Contribution to journalReviewResearchpeer-review


The Hansen solubility parameters (HSP) are frequently used for solvent selection and characterization of polymers, and are directly related to the suspension behavior of pigments in solvent mixtures. The performance of currently available group contribution (GC) methods for HSP were evaluated and found to be insufficient for computer-aided product design (CAPD) of paints and coatings. A revised and, for this purpose, improved GC method is presented for estimating HSP of organic compounds, intended for organic pigments. Due to the significant limitations of GC methods, an uncertainty analysis and parameter confidence intervals are provided in order to better quantify the estimation accuracy of the proposed approach. Compared to other applicable GC methods, the prediction error is reduced significantly with average absolute errors of 0.45 MPa1/2, 1.35 MPa1/2, and 1.09 MPa1/2 for the partial dispersion (δD), polar (δP) and hydrogen-bonding (δH) solubility parameters respectively for a database of 1106 compounds. The performance for organic pigments is comparable to the overall method performance, with higher average errors for δD and lower average errors for δP and δH.

Original languageEnglish
JournalChinese Journal of Chemical Engineering
Pages (from-to)186-197
Publication statusPublished - 2021

Bibliographical note

Funding Information:
Financial support from the Sino-Danish Center for Education and Research (SDC), the Hempel Foundation to CoaST (The Hempel Foundation Coatings Science and Technology Centre), and Hempel A/S is gratefully acknowledged.


  • Computer-aided product design
  • Group contribution method
  • Hansen solubility parameters
  • Organic pigments
  • Parameter estimation
  • Uncertainty analysis


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