“…The calculated χ 12 from Equation (8) for the training and test sets are listed in Table 1 and plotted in Figure 2 and 3; the results are comparable to those of the existing equation26 obtained using a bimolecular descriptors optimized Monte Carlo procedure for the same database. The following statistical parameters were obtained for the test set, which obviously satisfy the generally accepted conditions above:$\matrix{ {R_{{\rm ext}}^{\rm 2} = 0.9565 > 0.5} \hfill \cr {r^2 = 0.9788^2 = 0.9581 > 0.6} \hfill \cr {(r^2 - r_0^2 )/r^2 = (0.9581 - 0.9990)/0.9581 < 0.1} \hfill \cr {{\rm or}\,(r^2 - {r'_0}^2 )/r^2 = (0.9581 - 1.0000)/0.9581 < 0.1} \hfill \cr {0.85 \leq k = 0.983 \leq 1.15\quad {\rm or}\quad 0.85 \leq k' = 1.004 \leq 1.15} \hfill \cr }$${\rm Mor}_{{\rm 14m}} ({\rm sol})$ is one of the 3D molecular representations of structure based on electron diffraction descriptors (3D‐MoRSE descriptors)41, 42 which are calculated by summing atomic weights viewed by a different angular scattering function.…”
Section: Resultssupporting
confidence: 67%
“…The reported 104 experimental χ 12 data (Table 1), including seven polymers and fifteen solvents, were divided into a training and test sets, each of 52 solutions, according to ref 26…”
Section: Experimental Partmentioning
confidence: 99%
“…However, there have been relatively few attempts to correlate the Flory‐Huggins parameters of binary polymer‐solvent mixtures. Recently, Toropov et al used both monomer units26 and nanosegments of polymers27 to develop models for the Flory‐Huggins parameters, where the bimolecular descriptors involved were calculated with the so‐called correlation weights of local graph invariants. However, the correlation weights of different chemical elements present in the molecular structure were obtained with a Monte Carlo optimization procedure based on the training set; therefore, these bimolecular descriptors are only applicable for the molecular structures of chemical elements which have been previously investigated.…”
A QSPR study was performed for the prediction of the Flory‐Huggins parameters of binary polymer/solvent mixtures. 1 664 descriptors for each polymer and solvent were checked and a cubic multivariable model, with R2 = 0.9638 and s = 0.146, was produced by using genetic algorithms on a training set of 52 mixtures. The reliability of the proposed model was further validated by satisfactory statistical parameters being obtained using an external test set ($R_{{\rm ext}}^2$ = 0.9565). All descriptors involved in the model can be derived solely from the chemical structures of the polymers and the solvents, which makes it very useful in predicting the Flory‐Huggins parameters of unknown or unavailable polymer/solvent mixtures.
“…The calculated χ 12 from Equation (8) for the training and test sets are listed in Table 1 and plotted in Figure 2 and 3; the results are comparable to those of the existing equation26 obtained using a bimolecular descriptors optimized Monte Carlo procedure for the same database. The following statistical parameters were obtained for the test set, which obviously satisfy the generally accepted conditions above:$\matrix{ {R_{{\rm ext}}^{\rm 2} = 0.9565 > 0.5} \hfill \cr {r^2 = 0.9788^2 = 0.9581 > 0.6} \hfill \cr {(r^2 - r_0^2 )/r^2 = (0.9581 - 0.9990)/0.9581 < 0.1} \hfill \cr {{\rm or}\,(r^2 - {r'_0}^2 )/r^2 = (0.9581 - 1.0000)/0.9581 < 0.1} \hfill \cr {0.85 \leq k = 0.983 \leq 1.15\quad {\rm or}\quad 0.85 \leq k' = 1.004 \leq 1.15} \hfill \cr }$${\rm Mor}_{{\rm 14m}} ({\rm sol})$ is one of the 3D molecular representations of structure based on electron diffraction descriptors (3D‐MoRSE descriptors)41, 42 which are calculated by summing atomic weights viewed by a different angular scattering function.…”
Section: Resultssupporting
confidence: 67%
“…The reported 104 experimental χ 12 data (Table 1), including seven polymers and fifteen solvents, were divided into a training and test sets, each of 52 solutions, according to ref 26…”
Section: Experimental Partmentioning
confidence: 99%
“…However, there have been relatively few attempts to correlate the Flory‐Huggins parameters of binary polymer‐solvent mixtures. Recently, Toropov et al used both monomer units26 and nanosegments of polymers27 to develop models for the Flory‐Huggins parameters, where the bimolecular descriptors involved were calculated with the so‐called correlation weights of local graph invariants. However, the correlation weights of different chemical elements present in the molecular structure were obtained with a Monte Carlo optimization procedure based on the training set; therefore, these bimolecular descriptors are only applicable for the molecular structures of chemical elements which have been previously investigated.…”
A QSPR study was performed for the prediction of the Flory‐Huggins parameters of binary polymer/solvent mixtures. 1 664 descriptors for each polymer and solvent were checked and a cubic multivariable model, with R2 = 0.9638 and s = 0.146, was produced by using genetic algorithms on a training set of 52 mixtures. The reliability of the proposed model was further validated by satisfactory statistical parameters being obtained using an external test set ($R_{{\rm ext}}^2$ = 0.9565). All descriptors involved in the model can be derived solely from the chemical structures of the polymers and the solvents, which makes it very useful in predicting the Flory‐Huggins parameters of unknown or unavailable polymer/solvent mixtures.
“…These include the dielectric constant [144], the dielectric dissipation factor (tan δ) [168], the solubility parameter [169], the molar thermal decomposition function [170], the vitrification temperature of polyarylene oxides [171], and quantities relating to molecularly imprinted polymers [172,173]. The interested reader is referred to the literature for further information.…”
Polymers are arguably the most important set of materials in common use. The increasing adoption of both combinatorial as well as high-throughput approaches, coupled with an increasing amount of interdisciplinarity, has wrought tremendous change in the field of polymer science. Yet the informatics tools required to support and further enhance these changes are almost completely absent. In the first part of the chapter, a critical analysis of the challenges facing modern polymer informatics is provided. It is argued, that most of the problems facing the field today are rooted in the current scholarly communication process and the way in which chemists and polymer scientists handle and publish data. Furthermore, the chapter reviews existing modes of representing and communicating polymer information and discusses the impact, which the emergence of semantic technologies will have on the way in which scientific and polymer data is published and transmitted. In the second part, a review of the use of informatics tools for the prediction of polymer properties and in silico design of polymers is offered.
“…The most commonly used linear method is the stepwise multilinear regression analysis (MLRA), which can run forward or backward. The QSPR approach has been used quite extensively to predict many properties in polymer chemistry and physics, such as refractive index,10–17 glass transition temperature,12, 18–26 lower critical solution temperature,27–30 Flory‐Huggins parameters,31, 32 intrinsic viscosity,33, 34 solubility parameters,35 and monomer reactivity parameters 36–38. However, there have been relatively few attempts to correlate and predict the chain‐transfer constants.…”
Quantitative structure-property relationships (QSPR) studies were performed for kinetic chaintransfer constants of 90 agents on styrene polymerization at 60 C. By using stepwise multilinear regression analysis (MLRA) and artificial neural network (ANN), linear and nonlinear models containing seven descriptors were obtained with R 2 of 0.7866 and 0.8661 for the training set, respectively. The reliability of the proposed models was validated through the test set. The descriptors involved in the models are related to the molecular conformational changes and some functional groups. As these descriptors are directly calculated from the molecular structure, the proposed models can be employed to estimate the chaintransfer constants for styrene.
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