# Free Surface Energy and Hansen Solubility Parameter Vector Field. Interface Thickness
## 4 Conclusions
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & & & \multicolumn{4}{c}{HSP\({}_{\text{S}}\)} & \multicolumn{4}{c}{HSP\({}_{\text{L}}\)} \\ \hline
**Solid** & **Liquid** & \(\sigma_{\text{SL}}\), & \(\delta_{\text{DS}}\), & \(\delta_{\text{PS}}\), & \(\delta_{\text{HS}}\), & \(\delta_{\text{DL}}\), & \(\delta_{\text{PL}}\), & \(\delta_{\text{HL}}\), & \(\left|\begin{array}{c}\delta_{\text{SL}}\\ \end{array}\right|^{2}\), & \(\sigma_{\text{SL, calc}}\), & **Deviation**, \\  & **mN/m** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** & **MPa\({}^{1/2}\)** \\ \hline \multirow{4}{*}{PS} & Water & 49.4 & 20.6 & 2.5 & 1.5 & 15.5 & 16.0 & 42.3 & 1953.8 & 52.8 & 3.4 \\  & Formamide & 26.6 & 20.6 & 2.5 & 1.5 & 17.2 & 26.2 & 19.0 & 914.2 & 24.7 & \(-\)1.9 \\  & Ethylene Glycol & 21.9 & 20.6 & 2.5 & 1.5 & 17.0 & 11.0 & 26.0 & 726.0 & 19.6 & \(-\)2.3 \\  & Benzyl Alcohol & 0.4 & 20.6 & 2.5 & 1.5 & 18.4 & 6.3 & 13.7 & 183.5 & 5.0 & 4.6 \\  & Nitromethane & 8.1 & 20.6 & 2.5 & 1.5 & 15.8 & 18.8 & 5.1 & 369.8 & 10.0 & 1.9 \\ \hline \multirow{4}{*}{PMA46} & Water & 27.0 & 18.5 & 9.0 & 8.4 & 15.5 & 16.0 & 42.3 & 1235.6 & 33.4 & 6.4 \\  & Formamide & 17.2 & 18.5 & 9.0 & 8.4 & 17.2 & 26.2 & 19.0 & 414.1 & 11.2 & \(-\)6.0 \\  & Ethylene Glycol & 17.9 & 18.5 & 9.0 & 8.4 & 17.0 & 11.0 & 26.0 & 323.7 & 8.7 & \(-\)9.2 \\  & Benzyl Alcohol & 5.3 & 18.5 & 9.0 & 8.4 & 18.4 & 6.3 & 13.7 & 36.0 & 1.0 & \(-\)4.3 \\  & 1-Bromonaphlatene & 3.9 & 18.5 & 9.0 & 8.4 & 20.6 & 3.1 & 4.1 & 71.6 & 1.9 & \(-\)2.0 \\  & Nitromethane & 8.7 & 18.5 & 9.0 & 8.4 & 15.8 & 18.8 & 5.1 & 134.4 & 3.6 & \(-\)5.1 \\ \hline \multirow{4}{*}{PMA66} & Water & 15.6 & 19.5 & 6.2 & 14.7 & 15.5 & 16.0 & 42.3 & 921.3 & 24.9 & 9.3 \\  & Formamide & 9.6 & 19.5 & 6.2 & 14.7 & 17.2 & 26.2 & 19.0 & 438.6 & 11.8 & 2.2 \\  & Ethylene Glycol & 10.4 & 19.5 & 6.2 & 14.7 & 17.0 & 11.0 & 26.0 & 175.4 & 4.7 & \(-\)5.7 \\  & Benzyl Alcohol & 6.0 & 19.5 & 6.2 & 14.7 & 18.4 & 6.3 & 13.7 & 5.7 & 0.2 & \(-\)5.8 \\  & 1-Bromonaphlatene & 1.7 & 19.5 & 6.2 & 14.7 & 20.6 & 3.1 & 4.1 & 126.9 & 3.4 & 1.7 \\  & Nitromethane & 9.9 & 19.5 & 6.2 & 14.7 & 15.8 & 18.8 & 5.1 & 304.4 & 8.2 & \(-\)1.7 \\ \hline \multirow{4}{*}{PVB} & Water & 55.8 & 13.6 & 1.7 & 0.0 & 15.5 & 16.0 & 42.3 & 2008.4 & 54.2 & \(-\)1.6 \\  & Formamide & 31.1 & 13.6 & 1.7 & 0.0 & 17.2 & 26.2 & 19.0 & 1013.6 & 27.4 & \(-\)3.7 \\  & Ethylene Glycol & 27.2 & 13.6 & 1.7 & 0.0 & 17.0 & 11.0 & 26.0 & 809.7 & 21.9 & \(-\)5.3 \\  & Benzyl Alcohol & 13.6 & 13.6 & 1.7 & 0.0 & 18.4 & 6.3 & 13.7 & 302.8 & 8.2 & \(-\)5.4 \\  & 1-Bromonaphlatene & 13.8 & 13.6 & 1.7 & 0.0 & 20.6 & 3.1 & 4.1 & 217.5 & 5.9 & \(-\)7.9 \\  & Nitromethane & 8.1 & 13.6 & 1.7 & 0.0 & 15.8 & 18.8 & 5.1 & 338.0 & 9.1 & 1.0 \\  & n-Deane & 2.9 & 13.6 & 1.7 & 0.0 & 15.7 & 0.0 & 0.0 & 21.4 & 0.6 & \(-\)2.3 \\  & n-Hexane & 2.7 & 13.6 & 1.7 & 0.0 & 14.9 & 0.0 & 0.0 & 10.2 & 0.3 & \(-\)2.4 \\  & Dimethyl sulfoxide & 15.0 & 13.6 & 1.7 & 0.0 & 18.4 & 16.4 & 10.2 & 413.6 & 11.2 & \(-\)3.8 \\ \hline \multirow{4}{*}{PVB} & Water & 33.9 & 17.9 & 8.3 & 4.2 & 15.5 & 16.0 & 42.3 & 1534.2 & 41.4 & 7.5 \\  & Formamide & 18.3 & 17.9 & 8.3 & 4.2 & 17.2 & 26.2 & 19.0 & 540.9 & 14.6 & \(-\)3.7 \\  & Ethylene Glycol & 20.0 & 17.9 & 8.3 & 4.2 & 17.0 & 11.0 & 26.0 & 486.0 & 13.1 & \(-\)6.9 \\  & Benzyl Alcohol & 8.4 & 17.9 & 8.3 & 4.2 & 18.4 & 6.3 & 13.7 & 95.6 & 2.6 & \(-\)5.8 \\  & 1-Bromonaphlatene & 3.0 & 17.9 & 8.3 & 4.2 & 20.6 & 3.1 & 4.1 & 56.6 & 1.5 & \(-\)1.5 \\  & Nitromethane & 9.1 & 17.9 & 8.3 & 4.2 & 15.8 & 18.8 & 5.1 & 128.1 & 3.5 & \(-\)5.6 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Interfacial tension of solids with liquids, \(\sigma_{SL}\), at 25 \({}^{\circ}\)C and solubility parameters. Source: [PERSON] and [PERSON], 2023 [10]. The solubility parameters values from liquids and Poly(methyl methacrylate) (PMMA) are the ones published by [5].