A General Treatment of Solubility. 1. The QSPR Correlation of Solvation Free Energies of Single Solutes in Series of Solvents

We present an extended QSPR modeling of solubilities of about 500 substances in series of up to 69 diverse solvents. The models are obtained with our new software package, CODESSA PRO, which is furnished with an advanced variable selection procedure and a large pool of theoretically derived molecular descriptors. The squared correlation coefficients and squared standard deviations (variances) range from 0.837 and 0.1 for 2-pyrrolidone to 0.998 and 0.02 for dipropyl ether, respectively. The predictive power of the models was verified by using the "leave-one-out" cross-validation procedure. The QSPR models presented are suitable for the rapid evaluation of solvation free energies of organic compounds.

[1]  Juan Casado,et al.  Ab initio self-consistent reaction field calculations on amino acids: asparagine zwitterions in polar medium and gas phase , 1997 .

[2]  Peter C. Jurs,et al.  Automated Descriptor Selection for Quantitative Structure-Activity Relationships Using Generalized Simulated Annealing , 1995, J. Chem. Inf. Comput. Sci..

[3]  Peter C. Jurs,et al.  Prediction of Aqueous Solubility of Organic Compounds from Molecular Structure , 1998, J. Chem. Inf. Comput. Sci..

[4]  William E. Acree,et al.  The Solvation Properties of the Aliphatic Alcohols , 1999 .

[5]  Francisco Torrens Universal Organic Solvent-Water Partition Coefficient Model , 2000, J. Chem. Inf. Comput. Sci..

[6]  Richard J. Sadus,et al.  Molecular Simulation of Fluids: Theory, Algorithms and Object-Orientation , 1999 .

[7]  M. Randic Characterization of molecular branching , 1975 .

[8]  Alan R. Katritzky,et al.  A QSPR Study of the Solubility of Gases and Vapors in Water , 1996, J. Chem. Inf. Comput. Sci..

[9]  Arup K. Ghose,et al.  Prediction of Solvation Free Energies of Small Organic Molecules: Additive-Constitutive Models Based on Molecular Fingerprints and Atomic Constants , 1999, J. Chem. Inf. Comput. Sci..

[10]  Michael H. Abraham,et al.  Thermodynamics of solute transfer from water to hexadecane , 1990 .

[11]  Jacopo Tomasi,et al.  Molecular Interactions in Solution: An Overview of Methods Based on Continuous Distributions of the Solvent. , 1995 .

[12]  Hao Zhu,et al.  Estimation of the Aqueous Solubility of Organic Molecules by the Group Contribution Approach , 2001, J. Chem. Inf. Comput. Sci..

[13]  Michael H. Abraham,et al.  Hydrogen Bonding. Part 14. The Characterization of Some N‐Substituted Amides as Solvents: Comparison with Gas‐Liquid Chromatography Stationary Phases. , 1991 .

[14]  G. R. Famini,et al.  Using theoretical descriptors in quantitative structure–property relationships: some distribution equilibria , 1998 .

[15]  Subhash C. Basak,et al.  NEIGHBORHOOD COMPLEXITIES AND SYMMETRY OF CHEMICAL GRAPHS AND THEIR BIOLOGICAL APPLICATIONS , 1984 .

[16]  Ivan V. Stankevich,et al.  Topological Indices in Organic Chemistry , 1988 .

[17]  Dan C. Fara,et al.  The Present Utility and Future Potential for Medicinal Chemistry of QSAR/QSPR with Whole Molecule Descriptors , 2003 .

[18]  J. Murray,et al.  Prediction of Aqueous Solvation Free Energies from Properties of Solute Molecular Surface Electrostatic Potentials , 1999 .

[19]  Polina V. Oliferenko,et al.  A General Treatment of Solubility. 2. QSPR Prediction of Free Energies of Solvation of Specified Solutes in Ranges of Solvents , 2003, J. Chem. Inf. Comput. Sci..

[20]  M. Karelson Molecular descriptors in QSAR/QSPR , 2000 .

[21]  Robert W. Taft,et al.  REGARDING A GENERALIZED SCALE OF SOLVENT POLARITIES , 1978 .

[22]  M. E. Johnson,et al.  Generalized simulated annealing for function optimization , 1986 .

[23]  A. Leo,et al.  Correlation and estimation of gas-chloroform and water-chloroform partition coefficients by a linear free energy relationship method. , 1999, Journal of pharmaceutical sciences.

[24]  G. R. Famini,et al.  Solubility properties in polymers and biological media 5: an analysis of the physicochemical properties which influence octanol-water partition coefficients of aliphatic and aromatic solutes. , 1985, Journal of pharmaceutical sciences.

[25]  C. Cramer,et al.  Implicit Solvation Models: Equilibria, Structure, Spectra, and Dynamics. , 1999, Chemical reviews.

[26]  Michael H. Abraham,et al.  The solubility of gases and vapours in ethanol - the connection between gaseous solubility and water-solvent partition , 1998 .

[27]  Alan R. Katritzky,et al.  Quantum-Chemical Descriptors in QSAR/QSPR Studies , 1996 .

[28]  Alan R. Katritzky,et al.  M. O. calculations applicable to condensed phases: The combination of self-consistent reaction field theory with semi-empirical quantum-chemical methods , 1989 .

[29]  J. Kirkwood Statistical Mechanics of Fluid Mixtures , 1935 .

[30]  R. A. McGill,et al.  Determination of olive oil–gas and hexadecane–gas partition coefficients, and calculation of the corresponding olive oil–water and hexadecane–water partition coefficients , 1987 .

[31]  William E. Acree,et al.  Solubility of gases and vapours in propan-1-ol at 298 K , 1999 .

[32]  M. Karelson,et al.  QSPR: the correlation and quantitative prediction of chemical and physical properties from structure , 1995 .

[33]  W. L. Jorgensen,et al.  Prediction of Properties from Simulations: Free Energies of Solvation in Hexadecane, Octanol, and Water , 2000 .

[34]  Peter C. Jurs,et al.  Prediction of Aqueous Solubility of Heteroatom-Containing Organic Compounds from Molecular Structure , 2001, J. Chem. Inf. Comput. Sci..

[35]  Gregory D. Hawkins,et al.  Extension of the platform of applicability of the SM5.42R universal solvation model , 1999 .

[36]  Claudio N. Cavasotto,et al.  Accurate Transferable Model for Water, n-Octanol, and n-Hexadecane Solvation Free Energies , 2002 .

[37]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[38]  Jyrki Taskinen,et al.  Aqueous Solubility Prediction of Drugs Based on Molecular Topology and Neural Network Modeling , 1998, J. Chem. Inf. Comput. Sci..

[39]  M. Abraham,et al.  The solubility of gases and vapours in dry octan-1-ol at 298 K. , 2001, Chemosphere.

[40]  Eamonn F. Healy,et al.  Development and use of quantum mechanical molecular models. 76. AM1: a new general purpose quantum mechanical molecular model , 1985 .

[41]  Michael H. Abraham,et al.  Hydrogen bonding. Part 25. The solvation properties of methylene iodide , 1993 .

[42]  P. Jurs,et al.  Development and use of charged partial surface area structural descriptors in computer-assisted quantitative structure-property relationship studies , 1990 .

[43]  Emilio Benfenati,et al.  Interpretation of Quantitative Structure-Property and -Activity Relationships , 2001, J. Chem. Inf. Comput. Sci..

[44]  Philip H. Howard,et al.  Handbook of Physical Properties of Organic Chemicals , 1997 .

[45]  Alan R. Katritzky,et al.  Correlation of the Solubilities of Gases and Vapors in Methanol and Ethanol with Their Molecular Structures , 2001, J. Chem. Inf. Comput. Sci..

[46]  A. Klamt,et al.  COSMO : a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient , 1993 .

[47]  R. Tomkins,et al.  Nonaqueous Solution Chemistry , 1981 .

[48]  M. Karelson Quantum Chemical Treatment of Molecules in Condensed Disordered Media , 1997 .

[49]  Igor V. Tetko,et al.  Estimation of Aqueous Solubility of Chemical Compounds Using E-State Indices , 2001, J. Chem. Inf. Comput. Sci..

[50]  Jarmo Huuskonen,et al.  Estimation of Aqueous Solubility for a Diverse Set of Organic Compounds Based on Molecular Topology , 2000, J. Chem. Inf. Comput. Sci..

[51]  William E. Acree,et al.  Solubility predictions for crystalline polycyclic aromatic hydrocarbons (PAHs) dissolved in organic solvents based upon the Abraham general solvation model , 2002 .

[52]  Anton J. Hopfinger,et al.  Application of Genetic Function Approximation to Quantitative Structure-Activity Relationships and Quantitative Structure-Property Relationships , 1994, J. Chem. Inf. Comput. Sci..

[53]  Siddharth Pandey,et al.  Thermodynamics of mobile order theory , 1997 .

[54]  Peter Politzer,et al.  Quantitative treatments of solute/solvent interactions , 1994 .

[55]  Peter C. Jurs,et al.  Prediction of Aqueous Solubility of Heteroatom‐Containing Organic Compounds from Molecular Structure. , 2001 .

[56]  Petr Kolář,et al.  Solvent selection for pharmaceuticals , 2002 .

[57]  P. Huyskens,et al.  Influence of H-bond chains in solvents on the solubility of inert substances. A new quantitative approach. , 1985 .

[58]  Samuel H. Yalkowsky,et al.  Prediction of Drug Solubility by the General Solubility Equation (GSE). , 2001 .

[59]  A. Afifi,et al.  Comparison of Stopping Rules in Forward “Stepwise” Regression , 1977 .

[60]  P. Huyskens,et al.  Effect of the fluctuations of the potential energy curves ruling the motions of atoms on the thermodynamics of liquids , 1992 .

[61]  Michael H. Abraham,et al.  Hydrogen bonding. Part 34. The factors that influence the solubility of gases and vapours in water at 298 K, and a new method for its determination , 1994 .

[62]  Arup K. Ghose,et al.  Estimating aqueous solvation and lipophilicity of small organic molecules: A comparative overview of atom/group contribution methods , 2000 .

[63]  Michael H. Abraham,et al.  Hydrogen bonding. Part 14. The characterisation of some N-substituted amides as solvents: comparison with gas–liquid chromatography stationary phases , 1990 .

[64]  M. Karelson,et al.  Structurally diverse quantitative structure--property relationship correlations of technologically relevant physical properties , 2000, Journal of chemical information and computer sciences.

[65]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[66]  Michael H. Abraham,et al.  Scales of solute hydrogen-bonding: their construction and application to physicochemical and biochemical processes , 2010 .

[67]  Michael H. Abraham,et al.  Hydrogen bonding. Part 45.† The solubility of gases and vapours in methanol at 298 K: An LFER analysis , 1998 .

[68]  Alfred H. Lowrey,et al.  Quantum Chemical Descriptors for Linear Solvation Energy Relationships , 1995, Comput. Chem..

[69]  N. Sheppard Hydrogen Bonding , 1971, Nature.