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Updated: Jun 20, 2026

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Prediction of self-diffusion coefficients via a hybrid PCP-SAFT + ANN model incorporating COSMO-SAC sigma-profile
Aliakbar Roosta1,2, Nima Rezaei1, Hamid Reza Godini2
1Department of Separation Science, School of Engineering Science, LUT University, Lappeenranta, Finland.
Physical Chemistry Chemical Physics : PCCP
|June 19, 2026
Summary
A new hybrid model combining PCP-SAFT and artificial neural networks (ANNs) accurately predicts fluid self-diffusion coefficients. This reliable method enhances understanding of mass transport across various temperatures and pressures.
Area of Science:
- Physical Chemistry
- Chemical Engineering
- Computational Chemistry
Background:
- Accurate estimation of the self-diffusion coefficient is crucial for understanding mass transport in fluids.
- Predicting self-diffusion coefficients is challenging due to the significant impact of thermodynamic conditions and molecular properties.
Purpose of the Study:
- To develop a hybrid predictive model for estimating self-diffusion coefficients under diverse conditions.
- To combine the PCP-SAFT equation of state with an artificial neural network (ANN) for enhanced prediction accuracy.
Main Methods:
- A hybrid model integrating the PCP-SAFT equation of state and an ANN was developed.
- The model utilized a dataset of 2263 experimental measurements for 67 compounds.
- Thermodynamic inputs (density, residual entropy) from PCP-SAFT and molecular descriptors from COSMO-SAC were incorporated.
Main Results:
- The hybrid model achieved high predictive performance, with R² values of 0.9937 (training) and 0.9763 (testing).
- Average absolute relative deviation (AARD) was 8.89% for training and 15.89% for testing.
- The model demonstrated accuracy across a wide range of temperatures (93.0–973.2 K) and pressures (up to 3036 bar).
Conclusions:
- The proposed hybrid framework offers a unified and reliable approach for predicting fluid diffusion behavior.
- This model effectively captures the influence of thermodynamic conditions and molecular characteristics on self-diffusion.
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