hansen solubility parameters database
In the showed example (Fig. HSPs were developed by Hansen [1] in his Ph.D. thesis. permanent dipolepermanent dipole forces, and hydrogen bonding. Du, Y. Xue & H. L. Frisch (State University of New York)Steven Abbott. Environment These arise from (atomic) dispersion forces, (molecular) Several studies from literature are also compared with the solver solution showing that the answer changes depending on the optimization method used and its search procedure because the answer is an optimal region and not a point. The Hildebrand parameter for such non-polar solvents is usually close to the Hansen, Interactive web app for finding solvents with matching solubility parameters, This page was last edited on 17 December 2022, at 18:29. Good solvents are enclosing inside a hypothetical sphere of diameter R0, called Hansen sphere; so good solvents will get a relative energy difference (RED), defined as the ratio Ra/R0 with values lower than 1 and bad solvents have a RED value higher than 1. Critical Assessment of the Hildebrand and Hansen Solubility Parameters HSPiP helps you get round this problem by allowing you to use the Grid method to create solvent blends from a small set of solvents. Hansen solubility sphere generated in HSPiP program. In other words, when the value of such differences decreases to zero, the fit accuracy increases to 1.00. A hybrid algorithm featured with the capability of locating multiple optimal solutions was developed and used to solve two optimization problems: the first maximizes model fitting (F), and the second minimized both sphere radii (R0) and outlier points [12]. Column I records the results of errors determination for the i-solvent, so that it express either the error or lack of adjustment of the model. Best regards, Anvay.. The current authors add the ability to optimize simultaneously the HSPs and the sphere radius. these relations will be presented below. The polar forces are characteristics of molecules that have permanent dipole moments, called polar; while hydrogen bonding is particularly strong type of polar interaction, which occurs in molecules where a hydrogen atom is attached to an extremely electron-hungry atom such as oxygen, nitrogen, or fluorine. are available to calculate it.The hydrogen The official site of Hansen Solubility Parameters and HSPiP software. Polym Bull 57:377384, Gharagheizi F (2007) New procedure to calculate the hansen solubility parameters of polymers. Hansen solubility parameters for 211 common solvents W. Zeng, Y. The size of the molecules also plays a significant role in whether two molecules actually dissolve in a given period. of a hypothetical nonpolar molecule of same volume and structure but CRC, Boca Raton, Book To ensure a good data sample, two sensors were fabricated at each polymer thickness, and three different measurements . in question, the polar parameter should be predicted with group The contribution of the permanent dipoles to the cohesive energy density (solubility parameter) can be predicted with The third parameter, the so-called hydrogen bond parameter, h, is Enabling a user to revert a hacked change in their email. To check out the chemicals included in HSPiP, download (As discussed in the Chemical entity documentation, the entities include CAS, PubChem, SMILES, and InChI string identifiers, among many other properties.). The new compounds may need define new functional groups. This problem may be solved with any of the algorithms available in Microsoft Excel for the solution of nonlinear optimization problems; the non-linear GRG method (Generalized Reduced Gradient) and the Evolutionary method. the total cohesive parameter (energy) is unknown, several methods Simultaneous determination of HSPs and radius of Hansen sphere with the aid of the Solver add-in of Microsoft Excel is shown in this paper. MathJax reference. Is it possible for rockets to exist in a world that is only in the early stages of developing jet aircraft? Official HP HSPiP(Hansen Solubility Parameters(HSP) in Practice) Provided by the Springer Nature SharedIt content-sharing initiative, Over 10 million scientific documents at your fingertips, Not logged in The Table of Contents gives a good idea of the vast scope of the book and its authoritative nature. The standard book on HSP science is Dr Hansen's They found for nonpolar solvents following relationship:1. Free database of polymers with Hansen parameters, Hansen, C. M. Hansen solubility parameters: a users handbook, 2nd ed. 19 Pages Microsoft Excel is a powerful spreadsheet with a Solver add-in. The listed service providers are independent of HSPiP so we offer no guarantees of quality or service. You can predict Vapour Liquid Equilibria and Azeotropes with the new powerful engine. However, Hansen2 This function is very easy to use when you want to search liquids-liquids extraction solvents, search certain polymer solvents or search solvents for organic synthesis. In: Mark J.E. Sci. The Hansen solubility parameters were developed by Charles M Hansen in 1967 to guide solvent selection in the paint and coatings industry. Hansen Solubility Parameters in Practice Complete with software, data and examples Steven Abbott & Charles M. Hansen with Hiroshi Yamamoto & Richard S Valpey III (SC Johnson) Published by Hansen-Solubility.com Book and Software Copyright ? There are now 10,000 compounds in the HSP file which also includes data on density, melting point, boiling point, critical parameters, Antoine constants and much more. The source of their electromagnetic interactions is function of the random movement of the electron cloud surrounding every molecule, producing random changes in electron cloud distribution cause temporary dipoles. Terms Publication Status: Under Review, New York University (NYU) - New York University Abu Dhabi. The partial energies and solubility parameters can only be To be able to evaluate the HSP of any solid material, the solubility of the tested material in a range of solvents needs to be determined. That speed comes with a compromise though. ISSN 0973-4562 12, Hildebrand JH (1949) A critique of the theory of solubility of non-electrolytes. below): Koehnen and Smolders postulated that the R Available at SSRN: If you need immediate assistance, call 877-SSRNHelp (877 777 6435) in the United States, or +1 212 448 2500 outside of the United States, 8:30AM to 6:00PM U.S. Eastern, Monday - Friday. Koehnen and Smolders were one of the first to search for Predictive Power we really mean it. Solubility Prediction from Molecular Properties and Analytical Data You can understand what HSPiP can do. first approximation. For Solvent Optimization there is a large data set of common solvents complete with their Relative Evaporation Rates and Antoine Coefficients that allow calculation of evaporation rates at other temperatures. Molecular Orbital - 157.90.122.204. This method allows determination of the solubility of protein in various solvents. be used to estimate the dispersion parameter, d. HSPiP | Hansen Solubility Parameters Hansen Solubility Parameters in Practice Predictive Power Over 50 years of successful applications of Hansen Solubility Parameters are captured in one package. Of course, our problem does not try to find an absolute optimum (maximum or minimum), but to define a region, as reduced as possible, that satisfies the multiresponse desirability function; hence, the location of an optimal point within that region may vary depending on the specificities of the optimization method employed. relationships between the cohesive energy density (CED) and the index of refraction. 5.2.05, Gharagheizi F, Sattari M, Angaji MT (2006) Effect of calculation method on values of Hansen solubility parameters of polymers. The later approach I'm afraid that due to copyright claims the only database available is HSPiP, plus there is the most recent handbook Hansen, C. M. Hansen solubility parameters: a users handbook, 2nd ed. 1 Answer Sorted by: 1 I'm afraid that due to copyright claims the only database available is HSPiP, plus there is the most recent handbook Hansen, C. M. Hansen solubility parameters: a user's handbook, 2nd ed. Slider with three articles shown per slide. suggested that a procedure developed by Blank and Prausnitz should HSP can be used for prediction of affinity of material to each other, including drug delivery systems. Many other correlations have been found over the years. It was found that the double-sphere method rather than the general . 2 (nD2 + 2) / [Vm2(2 + nD2)], where is the dielectric constant and is the dipole moment. Estimated HSP and other data are tabulated for another 10,000 chemicals. The objective of the optimization problems is to minimize the error (fi) related to each solvent in a way that all good solvents fall inside the Hansen sphere and bad solvents outside. J Cultural Herit 15(6):583594, Derringer G, Ronald R (1980) Simultaneous optimization of several response variables. The determination of solubility parameters for solutes represents a challenging mathematical problem of locating the central tendency of solvent affinity based on a limited set of data taken from experimental observations. 487 -- 500. If these parameters are not available, which is the case for many It has been experimentally found that generally any nonpolar amorphous polymer dissolves in a liquid or mixture of liquids having a solubility parameter that does not differ by more than 1.8 (cal cm -3) 1/2 . Why is Bb8 better than Bc7 in this position? Certainly there it is an error associated to both each good solvent outside the Hansen sphere and each bad solvent inside this sphere. Although, trial and error methods continues to be a widely adopted methodology for solvent selection, which is time-consuming, intensive, and increases time-to-market, the right solvent may be found by the determination of the Hansen Solubility parameters (HSPs). (eds) Physical Properties of Polymers Handbook. Asking for help, clarification, or responding to other answers. You can set Boiling point range or you can set functional groups range. Workbook for HSP determination using solver add-in. Its everything you need in order to understand and apply HSP to your own field of expertise. Int J Appl Eng Res. Hansen Solubility Parameter (HSP) table below). 2013..1.2 The HSPiP ver. can be calculated from the energy of vaporization whereas While in column J are reported the values of Relative Energy Difference (RED) for each solvent evaluated. 3. Copyright 2023 www.hansen-solubility.com. But even this is quite a lot of work and without a robotic system it can be tedious. In Return of the King has there been any explanation for the role of the third eagle? 25: 18141826, 2004. There is now a large users community who are constantly feeding back ideas and observations that help us to continue to develop the package. The basis of these so-called Hansen Du, Y. Xue & H. L. Frisch (State University of New York), https://doi.org/10.1007/978-0-387-69002-5_16, Zeng W., Du Y., Xue Y., Frisch H.L. Specifically, each molecule is given three Hansen parameters, each . Vebber et al. As illustrated in Fig. Hansen Solubility Parameters A User's Handbook, Second Edition - Routledge Hansen solubility parameters (HSP) provide essential information on the nature of solvents, being a useful tool in their selection for product and process design. In our procedure, protein was added to the various solvents before pelleting any undissolved solvent and resuspending in water. Hansen Solubility Parameters: A User's Handbook, Second Edition (2nd ed.). Solubility Parameters of Selected Polymers - CHEMnetBASE Welcome to the official site of HSP and HSPiP For more than 50 years Hansen Solubility Parameters, HSP, have proven to be a powerful, practical way to understand issues of solubility, dispersion, diffusion, chromatography and more. "Hansen Solubility Parameters" DIY:Do It Yourself Today, they are widely used in many other fields. Determination of the Hansen solubility parameters and the Hansen sphere radius with the aid of the solver add-in of Microsoft Excel, $${\updelta = } \sqrt c = \sqrt {E /V_{m} }$$, $$\begin{aligned} & E /V_{m} = E_{D} /V_{m} + E_{P} /V_{m} + E_{H} /V_{m} \\ \updelta_{T}^{2}& = \updelta_{D}^{2} + \updelta_{P}^{2} + \updelta_{H}^{2} \\ \end{aligned}$$, $$R_{a} = \left[ {4 \cdot \left( {\updelta_{Da} - \updelta_{Db} } \right)^{2} + \left( {\updelta_{Pa} - \updelta_{Pb} } \right)^{2} + \left( {\updelta_{Ha} - \updelta_{Hb} } \right)^{2} } \right]^{1/2} .$$, $$DATAFIT = \sqrt[n]{{\prod\limits_{i = 1}^{n} {f_{i} } }}$$, \(f_{i} = e^{{ + \left( {R_{0} - R_{a} } \right)}}\), \(f_{i} = e^{{ + \left( {R_{a} - R_{0} } \right)}}\), $$Size\,factor = \left( {R_{0} } \right)^{{ - \frac{1}{n}}} .$$, $${\text{IF}}({\text{G}}i < >{}^{\prime\prime\prime\prime} ;{\text{SQRT}}(4*({\text{B}}i - {\text{dD}})^{2} + ({\text{C}}i - {\text{dP}})^{2} + ({\text{D}}i - {\text{dH}})^{2} );0)$$, $${\text{IF}}\left( {{\text{G}}i = ;{\text{ IF}}\left( {{\text{H}}i < {\text{R}}\_;1;{\text{EXP}}\left( {{\text{R}}\_{\text{ - H}}i} \right)} \right);{\text{IF}}\left( {{\text{G}}i < >{}^{ \prime \prime \prime \prime} ;{\text{IF}}\left( {{\text{H}}i < {\text{R}}\_;{\text{EXP}}\left( {{\text{H}}i - {\text{R}}}\_ \right);1} \right);1} \right)} \right)$$, $$\begin{aligned} & {\text{B}}3:{\text{D}}3 \le 20;\quad {\text{B}}3 \ge 13;\quad {\text{C}}3:{\text{D}}3 \ge 0 \\ & 12 \ge R0 \ge 1 \\ \end{aligned}$$, https://doi.org/10.1007/s42452-020-2512-y, Determining Hansen Solubility Parameters by a Rotated Ellipsoid-Based Method, Determination and correlation of solubility data and dissolution thermodynamic data for 2-acrylamido-2-methyl-1-propane-sulfonic acid in seven pure solvents, Measurement and Correlation of the Solubility, Dissolution Enthalpy, and Entropy of R-2[4-(6-Chloro-2-benzoxazolyloxy)phenoxy]propanoic Acid in Different Pure Solvents, Development of a reliable empirical correlation to calculate hydrogen solubility in seventeen alcoholic media, Prediction of the Solubilities of Water in Hydrocarbons with COSMO-RS and Interpretation of the Solubility Characteristics, QSPR models for water solubility of ammonium hexafluorosilicates: analysis of the effects of hydrogen bonds, A Review of the Alpha Functions of Cubic Equations of State for Different Research Systems, Enhancing asphaltene precipitation modeling by cubic-PR solid model using thermodynamic correlations and averaging techniques, Model-Dependency of Thermodynamic Consistency: Application to Acid Gases Solubility Data in Commercial Physical Solvents, Chemistry: Polymer, Zeolite, Nanocomposites: Synthesis, Characterization, Application, https://www.hansen-solubility.com/HSP-science/basics.php, https://www.hansen-solubility.com/contents/HSPCalculations.xlsx. 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In the showed example (Fig. HSPs were developed by Hansen [1] in his Ph.D. thesis. permanent dipolepermanent dipole forces, and hydrogen bonding. Du, Y. Xue & H. L. Frisch (State University of New York)Steven Abbott. Environment These arise from (atomic) dispersion forces, (molecular) Several studies from literature are also compared with the solver solution showing that the answer changes depending on the optimization method used and its search procedure because the answer is an optimal region and not a point. The Hildebrand parameter for such non-polar solvents is usually close to the Hansen, Interactive web app for finding solvents with matching solubility parameters, This page was last edited on 17 December 2022, at 18:29. Good solvents are enclosing inside a hypothetical sphere of diameter R0, called Hansen sphere; so good solvents will get a relative energy difference (RED), defined as the ratio Ra/R0 with values lower than 1 and bad solvents have a RED value higher than 1. Critical Assessment of the Hildebrand and Hansen Solubility Parameters HSPiP helps you get round this problem by allowing you to use the Grid method to create solvent blends from a small set of solvents. Hansen solubility sphere generated in HSPiP program. In other words, when the value of such differences decreases to zero, the fit accuracy increases to 1.00. A hybrid algorithm featured with the capability of locating multiple optimal solutions was developed and used to solve two optimization problems: the first maximizes model fitting (F), and the second minimized both sphere radii (R0) and outlier points [12]. Column I records the results of errors determination for the i-solvent, so that it express either the error or lack of adjustment of the model. Best regards, Anvay.. The current authors add the ability to optimize simultaneously the HSPs and the sphere radius. these relations will be presented below. The polar forces are characteristics of molecules that have permanent dipole moments, called polar; while hydrogen bonding is particularly strong type of polar interaction, which occurs in molecules where a hydrogen atom is attached to an extremely electron-hungry atom such as oxygen, nitrogen, or fluorine. are available to calculate it.The hydrogen The official site of Hansen Solubility Parameters and HSPiP software. Polym Bull 57:377384, Gharagheizi F (2007) New procedure to calculate the hansen solubility parameters of polymers. Hansen solubility parameters for 211 common solvents W. Zeng, Y. The size of the molecules also plays a significant role in whether two molecules actually dissolve in a given period. of a hypothetical nonpolar molecule of same volume and structure but CRC, Boca Raton, Book To ensure a good data sample, two sensors were fabricated at each polymer thickness, and three different measurements . in question, the polar parameter should be predicted with group The contribution of the permanent dipoles to the cohesive energy density (solubility parameter) can be predicted with The third parameter, the so-called hydrogen bond parameter, h, is Enabling a user to revert a hacked change in their email. To check out the chemicals included in HSPiP, download (As discussed in the Chemical entity documentation, the entities include CAS, PubChem, SMILES, and InChI string identifiers, among many other properties.). The new compounds may need define new functional groups. This problem may be solved with any of the algorithms available in Microsoft Excel for the solution of nonlinear optimization problems; the non-linear GRG method (Generalized Reduced Gradient) and the Evolutionary method. the total cohesive parameter (energy) is unknown, several methods Simultaneous determination of HSPs and radius of Hansen sphere with the aid of the Solver add-in of Microsoft Excel is shown in this paper. MathJax reference. Is it possible for rockets to exist in a world that is only in the early stages of developing jet aircraft? Official HP HSPiP(Hansen Solubility Parameters(HSP) in Practice) Provided by the Springer Nature SharedIt content-sharing initiative, Over 10 million scientific documents at your fingertips, Not logged in The Table of Contents gives a good idea of the vast scope of the book and its authoritative nature. The standard book on HSP science is Dr Hansen's They found for nonpolar solvents following relationship:1. Free database of polymers with Hansen parameters, Hansen, C. M. Hansen solubility parameters: a users handbook, 2nd ed. 19 Pages Microsoft Excel is a powerful spreadsheet with a Solver add-in. The listed service providers are independent of HSPiP so we offer no guarantees of quality or service. You can predict Vapour Liquid Equilibria and Azeotropes with the new powerful engine. However, Hansen2 This function is very easy to use when you want to search liquids-liquids extraction solvents, search certain polymer solvents or search solvents for organic synthesis. In: Mark J.E. Sci. The Hansen solubility parameters were developed by Charles M Hansen in 1967 to guide solvent selection in the paint and coatings industry. Hansen Solubility Parameters in Practice Complete with software, data and examples Steven Abbott & Charles M. Hansen with Hiroshi Yamamoto & Richard S Valpey III (SC Johnson) Published by Hansen-Solubility.com Book and Software Copyright ? There are now 10,000 compounds in the HSP file which also includes data on density, melting point, boiling point, critical parameters, Antoine constants and much more. The source of their electromagnetic interactions is function of the random movement of the electron cloud surrounding every molecule, producing random changes in electron cloud distribution cause temporary dipoles. Terms Publication Status: Under Review, New York University (NYU) - New York University Abu Dhabi. The partial energies and solubility parameters can only be To be able to evaluate the HSP of any solid material, the solubility of the tested material in a range of solvents needs to be determined. That speed comes with a compromise though. ISSN 0973-4562 12, Hildebrand JH (1949) A critique of the theory of solubility of non-electrolytes. below): Koehnen and Smolders postulated that the R Available at SSRN: If you need immediate assistance, call 877-SSRNHelp (877 777 6435) in the United States, or +1 212 448 2500 outside of the United States, 8:30AM to 6:00PM U.S. Eastern, Monday - Friday. Koehnen and Smolders were one of the first to search for Predictive Power we really mean it. Solubility Prediction from Molecular Properties and Analytical Data You can understand what HSPiP can do. first approximation. For Solvent Optimization there is a large data set of common solvents complete with their Relative Evaporation Rates and Antoine Coefficients that allow calculation of evaporation rates at other temperatures. Molecular Orbital - 157.90.122.204. This method allows determination of the solubility of protein in various solvents. be used to estimate the dispersion parameter, d. HSPiP | Hansen Solubility Parameters Hansen Solubility Parameters in Practice Predictive Power Over 50 years of successful applications of Hansen Solubility Parameters are captured in one package. Of course, our problem does not try to find an absolute optimum (maximum or minimum), but to define a region, as reduced as possible, that satisfies the multiresponse desirability function; hence, the location of an optimal point within that region may vary depending on the specificities of the optimization method employed. relationships between the cohesive energy density (CED) and the index of refraction. 5.2.05, Gharagheizi F, Sattari M, Angaji MT (2006) Effect of calculation method on values of Hansen solubility parameters of polymers. The later approach I'm afraid that due to copyright claims the only database available is HSPiP, plus there is the most recent handbook Hansen, C. M. Hansen solubility parameters: a users handbook, 2nd ed. 1 Answer Sorted by: 1 I'm afraid that due to copyright claims the only database available is HSPiP, plus there is the most recent handbook Hansen, C. M. Hansen solubility parameters: a user's handbook, 2nd ed. Slider with three articles shown per slide. suggested that a procedure developed by Blank and Prausnitz should HSP can be used for prediction of affinity of material to each other, including drug delivery systems. Many other correlations have been found over the years. It was found that the double-sphere method rather than the general . 2 (nD2 + 2) / [Vm2(2 + nD2)], where is the dielectric constant and is the dipole moment. Estimated HSP and other data are tabulated for another 10,000 chemicals. The objective of the optimization problems is to minimize the error (fi) related to each solvent in a way that all good solvents fall inside the Hansen sphere and bad solvents outside. J Cultural Herit 15(6):583594, Derringer G, Ronald R (1980) Simultaneous optimization of several response variables. The determination of solubility parameters for solutes represents a challenging mathematical problem of locating the central tendency of solvent affinity based on a limited set of data taken from experimental observations. 487 -- 500. If these parameters are not available, which is the case for many It has been experimentally found that generally any nonpolar amorphous polymer dissolves in a liquid or mixture of liquids having a solubility parameter that does not differ by more than 1.8 (cal cm -3) 1/2 . Why is Bb8 better than Bc7 in this position? Certainly there it is an error associated to both each good solvent outside the Hansen sphere and each bad solvent inside this sphere. Although, trial and error methods continues to be a widely adopted methodology for solvent selection, which is time-consuming, intensive, and increases time-to-market, the right solvent may be found by the determination of the Hansen Solubility parameters (HSPs). (eds) Physical Properties of Polymers Handbook. Asking for help, clarification, or responding to other answers. You can set Boiling point range or you can set functional groups range. Workbook for HSP determination using solver add-in. Its everything you need in order to understand and apply HSP to your own field of expertise. Int J Appl Eng Res. Hansen Solubility Parameter (HSP) table below). 2013..1.2 The HSPiP ver. can be calculated from the energy of vaporization whereas While in column J are reported the values of Relative Energy Difference (RED) for each solvent evaluated. 3. Copyright 2023 www.hansen-solubility.com. But even this is quite a lot of work and without a robotic system it can be tedious. In Return of the King has there been any explanation for the role of the third eagle? 25: 18141826, 2004. There is now a large users community who are constantly feeding back ideas and observations that help us to continue to develop the package. The basis of these so-called Hansen Du, Y. Xue & H. L. Frisch (State University of New York), https://doi.org/10.1007/978-0-387-69002-5_16, Zeng W., Du Y., Xue Y., Frisch H.L. Specifically, each molecule is given three Hansen parameters, each . Vebber et al. As illustrated in Fig. Hansen Solubility Parameters A User's Handbook, Second Edition - Routledge Hansen solubility parameters (HSP) provide essential information on the nature of solvents, being a useful tool in their selection for product and process design. In our procedure, protein was added to the various solvents before pelleting any undissolved solvent and resuspending in water. Hansen Solubility Parameters: A User's Handbook, Second Edition (2nd ed.). Solubility Parameters of Selected Polymers - CHEMnetBASE Welcome to the official site of HSP and HSPiP For more than 50 years Hansen Solubility Parameters, HSP, have proven to be a powerful, practical way to understand issues of solubility, dispersion, diffusion, chromatography and more. "Hansen Solubility Parameters" DIY:Do It Yourself Today, they are widely used in many other fields. Determination of the Hansen solubility parameters and the Hansen sphere radius with the aid of the solver add-in of Microsoft Excel, $${\updelta = } \sqrt c = \sqrt {E /V_{m} }$$, $$\begin{aligned} & E /V_{m} = E_{D} /V_{m} + E_{P} /V_{m} + E_{H} /V_{m} \\ \updelta_{T}^{2}& = \updelta_{D}^{2} + \updelta_{P}^{2} + \updelta_{H}^{2} \\ \end{aligned}$$, $$R_{a} = \left[ {4 \cdot \left( {\updelta_{Da} - \updelta_{Db} } \right)^{2} + \left( {\updelta_{Pa} - \updelta_{Pb} } \right)^{2} + \left( {\updelta_{Ha} - \updelta_{Hb} } \right)^{2} } \right]^{1/2} .$$, $$DATAFIT = \sqrt[n]{{\prod\limits_{i = 1}^{n} {f_{i} } }}$$, \(f_{i} = e^{{ + \left( {R_{0} - R_{a} } \right)}}\), \(f_{i} = e^{{ + \left( {R_{a} - R_{0} } \right)}}\), $$Size\,factor = \left( {R_{0} } \right)^{{ - \frac{1}{n}}} .$$, $${\text{IF}}({\text{G}}i < >{}^{\prime\prime\prime\prime} ;{\text{SQRT}}(4*({\text{B}}i - {\text{dD}})^{2} + ({\text{C}}i - {\text{dP}})^{2} + ({\text{D}}i - {\text{dH}})^{2} );0)$$, $${\text{IF}}\left( {{\text{G}}i = ;{\text{ IF}}\left( {{\text{H}}i < {\text{R}}\_;1;{\text{EXP}}\left( {{\text{R}}\_{\text{ - H}}i} \right)} \right);{\text{IF}}\left( {{\text{G}}i < >{}^{ \prime \prime \prime \prime} ;{\text{IF}}\left( {{\text{H}}i < {\text{R}}\_;{\text{EXP}}\left( {{\text{H}}i - {\text{R}}}\_ \right);1} \right);1} \right)} \right)$$, $$\begin{aligned} & {\text{B}}3:{\text{D}}3 \le 20;\quad {\text{B}}3 \ge 13;\quad {\text{C}}3:{\text{D}}3 \ge 0 \\ & 12 \ge R0 \ge 1 \\ \end{aligned}$$, https://doi.org/10.1007/s42452-020-2512-y, Determining Hansen Solubility Parameters by a Rotated Ellipsoid-Based Method, Determination and correlation of solubility data and dissolution thermodynamic data for 2-acrylamido-2-methyl-1-propane-sulfonic acid in seven pure solvents, Measurement and Correlation of the Solubility, Dissolution Enthalpy, and Entropy of R-2[4-(6-Chloro-2-benzoxazolyloxy)phenoxy]propanoic Acid in Different Pure Solvents, Development of a reliable empirical correlation to calculate hydrogen solubility in seventeen alcoholic media, Prediction of the Solubilities of Water in Hydrocarbons with COSMO-RS and Interpretation of the Solubility Characteristics, QSPR models for water solubility of ammonium hexafluorosilicates: analysis of the effects of hydrogen bonds, A Review of the Alpha Functions of Cubic Equations of State for Different Research Systems, Enhancing asphaltene precipitation modeling by cubic-PR solid model using thermodynamic correlations and averaging techniques, Model-Dependency of Thermodynamic Consistency: Application to Acid Gases Solubility Data in Commercial Physical Solvents, Chemistry: Polymer, Zeolite, Nanocomposites: Synthesis, Characterization, Application, https://www.hansen-solubility.com/HSP-science/basics.php, https://www.hansen-solubility.com/contents/HSPCalculations.xlsx.

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hansen solubility parameters database