Continuum Models for Condensed Phases

The SMx continuum models are designed to include condensed-phase effects in classical and quantum mechanical electronic structure calculations and can also be used for calculating geometries and vibrational frequencies in condensed phases. Originally developed for homogeneous liquid solutions, the SMx models have seen substantial application to more complicated condensed phases as well, e.g., the airwater interface, soil, phospholipid membranes, and vapor pressures of crystals as well as liquids. Bulk electrostatics are accounted for via a generalized Born formalism, and other physical contributions to free energies of interaction between a solute and the surrounding condensed phase are modeled by environmentally sensitive atomic surface tensions associated with solute atoms having surface area exposed to the surrounding medium. The underlying framework of the models, including the charge models used for the electrostatics, and some of the models’ most recent extensions are summarized in this report. In addition, selected applications to environmental chemistry problems are presented.

[1]  Combined Quantum Mechanical and Molecular Mechanical Methods , 2009 .

[2]  Michael C. Zerner,et al.  Semiempirical Molecular Orbital Methods , 2007 .

[3]  Donald G. Truhlar,et al.  Continuum Solvation Models: Classical and Quantum Mechanical Implementations , 2007 .

[4]  C. Cramer,et al.  Aqueous solvation free energies of ions and ion-water clusters based on an accurate value for the absolute aqueous solvation free energy of the proton. , 2006, The journal of physical chemistry. B.

[5]  Donald G Truhlar,et al.  Predicting aqueous free energies of solvation as functions of temperature. , 2006, The journal of physical chemistry. B.

[6]  C. Cramer,et al.  Adding explicit solvent molecules to continuum solvent calculations for the calculation of aqueous acid dissociation constants. , 2006, The journal of physical chemistry. A.

[7]  C. Cramer,et al.  SMx Continuum Models for Condensed Phases , 2006 .

[8]  Donald G Truhlar,et al.  SM6:  A Density Functional Theory Continuum Solvation Model for Calculating Aqueous Solvation Free Energies of Neutrals, Ions, and Solute-Water Clusters. , 2005, Journal of chemical theory and computation.

[9]  Jacopo Tomasi,et al.  Quantum Mechanical Continuum Solvation Models , 2005 .

[10]  C. Cramer,et al.  Ab initio molecular orbital and density functional studies on the solvolysis of sarin and O,S-dimethyl methylphosphonothiolate, a VX-like compound. , 2005, The Journal of organic chemistry.

[11]  Donald G. Truhlar,et al.  Density-functional theory and hybrid density-functional theory continuum solvation models for aqueous and organic solvents: universal SM5.43 and SM5.43R solvation models for any fraction of Hartree-Fock exchange , 2005 .

[12]  C. Cramer,et al.  Predicting adsorption coefficients at air-water interfaces using universal solvation and surface area models , 2004 .

[13]  C. Cramer,et al.  New Universal Solvation Model and Comparison of the Accuracy of the SM5.42R, SM5.43R, C-PCM, D-PCM, and IEF-PCM Continuum Solvation Models for Aqueous and Organic Solvation Free Energies and for Vapor Pressures , 2004 .

[14]  J. Tomasi,et al.  Thirty years of continuum solvation chemistry: a review, and prospects for the near future , 2004 .

[15]  Donald G. Truhlar,et al.  Molecular Modeling of Environmentally Important Processes: Reduction Potentials , 2004 .

[16]  C. Brooks,et al.  Recent advances in the development and application of implicit solvent models in biomolecule simulations. , 2004, Current opinion in structural biology.

[17]  Donald G. Truhlar,et al.  Class IV Charge Model for the Self-Consistent Charge Density-Functional Tight-Binding Method , 2004 .

[18]  I-Feng W. Kuo,et al.  An ab Initio Molecular Dynamics Study of the Aqueous Liquid-Vapor Interface , 2004, Science.

[19]  C. Cramer,et al.  A Class IV Charge Model for Boron Based on Hybrid Density Functional Theory. , 2003 .

[20]  Donald G. Truhlar,et al.  Parameterization of charge model 3 for AM1, PM3, BLYP, and B3LYP , 2003, J. Comput. Chem..

[21]  Donald G. Truhlar,et al.  Predicting aqueous solubilities from aqueous free energies of solvation and experimental or calculated vapor pressures of pure substances , 2003 .

[22]  Eduardo J. Delgado,et al.  Prediction of Henry's Law Constants of Triazine Derived Herbicides from Quantum Chemical Continuum Solvation Models , 2003, J. Chem. Inf. Comput. Sci..

[23]  D. Ivanov,et al.  Computational study of maleamic acid cyclodehydration , 2003 .

[24]  Giovanni Scalmani,et al.  Energies, structures, and electronic properties of molecules in solution with the C‐PCM solvation model , 2003, J. Comput. Chem..

[25]  David A. Case,et al.  Effective Born radii in the generalized Born approximation: The importance of being perfect , 2002, J. Comput. Chem..

[26]  P. Winget,et al.  Charge Model 3: A class IV Charge Model based on hybrid density functional theory with variable exchange , 2002 .

[27]  M. Marcaccio,et al.  Computational electrochemistry. Ab initio calculation of solvent effect in the multiple electroreduction of polypyridinic compounds , 2002 .

[28]  C. Brooks,et al.  Novel generalized Born methods , 2002 .

[29]  P. Winget,et al.  Parametrization of a Universal Solvation Model for Molecules Containing Silicon , 2002 .

[30]  R. Mannhold,et al.  GBR compounds and mepyramines as cocaine abuse therapeutics: Chemometric studies on selectivity using grid independent descriptors (GRIND) , 2002 .

[31]  Eduardo J. Delgado,et al.  On the Calculation of Henry's Law Constants of Chlorinated Benzenes in Water from Semiempirical Quantum Chemical Methods , 2002, J. Chem. Inf. Comput. Sci..

[32]  More reliable partial atomic charges when using diffuse basis sets , 2002 .

[33]  M. Filizola,et al.  Molecular determinants of recognition and activation at GABAA/benzodiazepine receptors , 2002 .

[34]  C. Cramer,et al.  Continuum Solvation Models , 2002 .

[35]  B. McConkey,et al.  The performance of current methods in ligand-protein docking , 2002 .

[36]  S. J. Singer,et al.  Computational analysis of the potential energy surfaces of glycerol in the gas and aqueous phases: effects of level of theory, basis set, and solvation on strongly intramolecularly hydrogen-bonded systems. , 2001, Journal of the American Chemical Society.

[37]  H Matter,et al.  Computational approaches towards the rational design of drug-like compound libraries. , 2001, Combinatorial chemistry & high throughput screening.

[38]  David A. Case,et al.  Vectorization of the generalized Born model for molecular dynamics on shared-memory computers , 2001 .

[39]  J. Zabrocki,et al.  A new class of peptide chelating agents towards copper(II) ions , 2001 .

[40]  C. Lim,et al.  Incorporating Nonlinear Solvent Response in Continuum Dielectric Models Using a Two-Sphere Description of the Born Radius , 2001 .

[41]  D. Case,et al.  Generalized Born Models of Macromolecular Solvation Effects , 2001 .

[42]  C. Cramer,et al.  Reductive dechlorination of hexachloroethane in the environment: mechanistic studies via computational electrochemistry. , 2001, Journal of the American Chemical Society.

[43]  G. Tresadern,et al.  Hydride shift in substituted phenyl glyoxals: Interpretation of experimental rate data using electronic structure and variational transition state theory calculations , 2001 .

[44]  F. J. Luque,et al.  Theoretical Methods for the Description of the Solvent Effect in Biomolecular Systems. , 2000, Chemical reviews.

[45]  Donald G. Truhlar,et al.  Prediction of soil sorption coefficients using a universal solvation model , 2000 .

[46]  W. Kutner,et al.  Acid−Base Properties of Fulleropyrrolidines: Experimental and Theoretical Investigations , 2000 .

[47]  Gregory D. Hawkins,et al.  Prediction of Vapor Pressures from Self-Solvation Free Energies Calculated by the SM5 Series of Universal Solvation Models , 2000 .

[48]  Donald G. Truhlar,et al.  Universal solvation model based on conductor‐like screening model , 2000 .

[49]  I. Chen,et al.  Computation of the influence of chemical substitution on the pKa of pyridine using semiempirical and ab initio methods , 2000 .

[50]  O. Tapia,et al.  Hydride-transfer transition structure as a possible unifying redox step for decscribing the branched mechanism of glutathione reductase. Molecular-electronic antecedents , 2000 .

[51]  Donald G. Truhlar,et al.  A Universal Solvation Model Based on Class IV Charges and the Intermediate Neglect of Differential Overlap for the Spectroscopy Molecular Orbital Method , 2000 .

[52]  D. Dougherty,et al.  A computational study of nicotine conformations in the gas phase and in water. , 2000, The Journal of organic chemistry.

[53]  F. J. Luque,et al.  Perspective on “Electrostatic interactions of a solute with a continuum. A direct utilization of ab initio molecular potentials for the prevision of solvent effects” , 2000 .

[54]  J. Snyder,et al.  The oxetane ring in taxol. , 2000, The Journal of organic chemistry.

[55]  R. Gandolfi,et al.  Regioselectivity and Diastereoselectivity in the 1,3-Dipolar Cycloadditions of Nitrones with Acrylonitrile and Maleonitrile. The Origin of ENDO/EXO Selectivity# , 2000 .

[56]  Donald G. Truhlar,et al.  Two-response-time model based on CM2/INDO/S2 electrostatic potentials for the dielectric polarization component of solvatochromic shifts on vertical excitation energies , 2000 .

[57]  P. Lacaze,et al.  Anodic oxidation of dipyrrolyls linked with conjugated spacers: study of electronic interactions between the polypyrrole chain and the spacers , 1999 .

[58]  A. Turjanski,et al.  Solvation and Conformational Properties of Melatonin: a Computational Study , 1999 .

[59]  Donald G. Truhlar,et al.  Implicit Solvation Models: Equilibria, Structure, Spectra, and Dynamics , 1999 .

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

[61]  R. Metzger,et al.  Theoretical calculations of methylquinolinium tricyanoquinodimethanide (CH3Q–3CNQ) using a solvation model , 1999 .

[62]  Pi-Tai Chou,et al.  Photoinduced Double Proton Tautomerism in 4-Azabenzimidazole , 1999 .

[63]  C. Lim,et al.  A new interpretation of the effective Born radius from simulation and experiment , 1999 .

[64]  S. Rychnovsky,et al.  AM1-SM2 Calculations Model the Redox Potential of Nitroxyl Radicals Such as TEMPO. , 1999, The Journal of organic chemistry.

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

[66]  David J. Giesen,et al.  New Tools for Rational Drug Design , 1999 .

[67]  Donald G. Truhlar,et al.  Accurate dipole moments from Hartree-Fock calculations by means of class IV charges , 1999 .

[68]  P. Beroza,et al.  Application of a pairwise generalized Born model to proteins and nucleic acids: inclusion of salt effects , 1999 .

[69]  Donald G. Truhlar,et al.  Analytical energy gradients of a self-consistent reaction-field solvation model based on CM2 atomic charges , 1999 .

[70]  M. Hoffmann,et al.  Effects of Substitution of OH Group by F Atom for Conformational Preferences of Fluorine-Substituted Analogues of (R,R)-Tartaric Acid, Its Dimethyl Diester, Diamide, and N,N,N‘,N‘-Tetramethyl Diamide. Ab Initio Conformational Analysis , 1999 .

[71]  Donald G. Truhlar,et al.  A class IV charge model for molecular excited states , 1999 .

[72]  Gregory D. Hawkins,et al.  Modeling The Effect of Solvation on Structure, Reactivity, and Partitioning of Organic Solutes: Utility in Drug Design , 1999 .

[73]  M. Bräuer,et al.  Ground-State Tautomerism and Excited-State Proton-Transfer Processes in 4,5-Dimethyl-2-(2‘-hydroxyphenyl)imidazole in Solution: Fluorescence Spectroscopy and Quantum Mechanical Calculations , 1998 .

[74]  David J. Giesen,et al.  Universal Solvation Models , 1998 .

[75]  Gerrit Schüürmann Quantum chemical analysis of the energy of proton transfer from phenol and chlorophenols to H2O in the gas phase and in aqueous solution , 1998 .

[76]  Donald G. Truhlar,et al.  Density functional solvation model based on CM2 atomic charges , 1998 .

[77]  M. Tissandier,et al.  The Proton's Absolute Aqueous Enthalpy and Gibbs Free Energy of Solvation from Cluster-Ion Solvation Data , 1998 .

[78]  William L. Jorgensen,et al.  Conformational Complexity of Succinic Acid and Its Monoanion in the Gas Phase and in Solution: Ab Initio Calculations and Monte Carlo Simulations , 1998 .

[79]  H Ahlbrecht,et al.  Minimal Molecular Determinants of Substrates for Recognition by the Intestinal Peptide Transporter* , 1998, The Journal of Biological Chemistry.

[80]  C. Alemán,et al.  Free energies of solvation for peptides and polypeptides using SCRF methods , 1998 .

[81]  E. Kryachko,et al.  Nonrigidity of molecules in solvent and its impact on infrared spectrum: substituted phenols and trimethylamine N-oxide. I. , 1998 .

[82]  Birgit Schiøtt,et al.  Theoretical Investigation of the Hydride Transfer from Formate to NAD+ and the Implications for the Catalytic Mechanism of Formate Dehydrogenase , 1998 .

[83]  D. Beveridge,et al.  A MODIFICATION OF THE GENERALIZED BORN THEORY FOR IMPROVED ESTIMATES OF SOLVATION ENERGIES AND PK SHIFTS , 1998 .

[84]  Donald G. Truhlar,et al.  omnisol: Fast Prediction of Free Energies of Solvation and Partition Coefficients , 1998 .

[85]  Vincenzo Barone,et al.  Exchange functionals with improved long-range behavior and adiabatic connection methods without adjustable parameters: The mPW and mPW1PW models , 1998 .

[86]  G. Reinwald,et al.  A combined calorimetric and semiempirical quantum chemical approach to describe the solution thermodynamics of drugs. , 1998, Journal of pharmaceutical sciences.

[87]  Donald G. Truhlar,et al.  Universal reaction field model based on ab initio Hartree–Fock theory , 1998 .

[88]  Jiabo Li,et al.  MIDI! basis set for silicon, bromine, and iodine , 1998 .

[89]  M. Amann,et al.  The difference between cholesterol-and glycyrrhizin-γ-cyclodextrin complexes— an analysis by MD simulations in vacuo and in aquo and the calculation of solvation free energies with AMSOL , 1998 .

[90]  J. Köhler,et al.  Cyclohexadecanone derivative/γ-cyclodextrin complexes MD simulations and AMSOL calculations in vacuo and in aquo compared with experimental findings , 1998 .

[91]  E. Kryachko,et al.  Quantum chemical study of 1-methyladenine and its spectra in gas phase and in solvent. I. , 1998 .

[92]  G. Richmond,et al.  Investigations of the Structure and Hydrogen Bonding of Water Molecules at Liquid Surfaces by Vibrational Sum Frequency Spectroscopy , 1998 .

[93]  J. Tomasi,et al.  Ab initio study of ionic solutions by a polarizable continuum dielectric model , 1998 .

[94]  D. Spinelli,et al.  Site of Protonation of Alkyl- and Arylhydrazines Probed by 14N, 15N, and 13C NMR Relaxation and Quantum Chemical Calculations , 1998 .

[95]  T. C. Bruice,et al.  What Is the Mechanism of Catalysis of Ester Aminolysis by Weak Amine Bases? Comparison of Experimental Studies and Theoretical Investigation of the Aminolysis of Substituted Phenyl Esters of Quinoline-6- and -8-Carboxylic Acids , 1998 .

[96]  V. Barone,et al.  Quantum Calculation of Molecular Energies and Energy Gradients in Solution by a Conductor Solvent Model , 1998 .

[97]  Donald G. Truhlar,et al.  New Class IV Charge Model for Extracting Accurate Partial Charges from Wave Functions , 1998 .

[98]  Alexander D. MacKerell,et al.  (-)-3 beta-Substituted ecgonine methyl esters as inhibitors for cocaine binding and dopamine uptake. , 1998, Journal of medicinal chemistry.

[99]  G. D. Hawkins,et al.  Modeling Free Energies of Solvation and Transfer , 1998 .

[100]  A. Hussénius,et al.  Theoretical studies of proton transfer reactions in 1-methylindene , 1998 .

[101]  David J. Giesen,et al.  A universal model for the quantum mechanical calculation of free energies of solvation in non-aqueous solvents , 1997 .

[102]  Chang Kon Kim,et al.  Theoretical studies on the transition‐state imbalance in malononitrile anion‐forming reactions in the gas phase and in water , 1997 .

[103]  T. C. Bruice,et al.  Separation of Ground State and Transition State Effects in Intramolecular and Enzymatic Reactions. 2. A Theoretical Study of the Formation of Transition States in Cyclic Anhydride Formation , 1997 .

[104]  Donald G. Truhlar,et al.  PARAMETRIZED MODEL FOR AQUEOUS FREE ENERGIES OF SOLVATION USING GEOMETRY-DEPENDENT ATOMIC SURFACE TENSIONS WITH IMPLICIT ELECTROSTATICS , 1997 .

[105]  Jacopo Tomasi,et al.  A new integral equation formalism for the polarizable continuum model: Theoretical background and applications to isotropic and anisotropic dielectrics , 1997 .

[106]  David J. Giesen,et al.  What Controls Partitioning of the Nucleic Acid Bases between Chloroform and Water , 1997 .

[107]  W. C. Still,et al.  The GB/SA Continuum Model for Solvation. A Fast Analytical Method for the Calculation of Approximate Born Radii , 1997 .

[108]  David J. Giesen,et al.  Solvation Model for Chloroform Based on Class IV Atomic Charges , 1997 .

[109]  G. D. Hawkins,et al.  New methods for potential functions for simulating biological molecules , 1997 .

[110]  Gregory D. Hawkins,et al.  Parametrized Models of Aqueous Free Energies of Solvation Based on Pairwise Descreening of Solute Atomic Charges from a Dielectric Medium , 1996 .

[111]  David J. Giesen,et al.  A Universal Organic Solvation Model. , 1996, The Journal of organic chemistry.

[112]  F. Javier Luque,et al.  Tautomerism of xanthine and alloxanthine: A model for substrate recognition by xanthine oxidase , 1996, J. Comput. Aided Mol. Des..

[113]  F. Lombardo,et al.  Computation of brain-blood partitioning of organic solutes via free energy calculations. , 1996, Journal of medicinal chemistry.

[114]  W. L. Jorgensen,et al.  Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids , 1996 .

[115]  Donald G. Truhlar,et al.  MODEL FOR AQUEOUS SOLVATION BASED ON CLASS IV ATOMIC CHARGES AND FIRST SOLVATION SHELL EFFECTS , 1996 .

[116]  R. J. Boyd,et al.  A theoretical study of proton transfers in aqueous para-, ortho-hydroxypyridine and para-, ortho-hydroxyquinoline , 1996 .

[117]  J. Tomasi,et al.  Ab initio study of solvated molecules: A new implementation of the polarizable continuum model , 1996 .

[118]  David J. Giesen,et al.  The MIDI! basis set for quantum mechanical calculations of molecular geometries and partial charges , 1996 .

[119]  Jean-Louis Rivail,et al.  Liquid-State Quantum Chemistry: Computational Applications of the Polarizable Continuum Models , 1996 .

[120]  Walter Thiel,et al.  Extension of MNDO to d Orbitals: Parameters and Results for the Second-Row Elements and for the Zinc Group , 1996 .

[121]  A. Becke Density-functional thermochemistry. , 1996 .

[122]  Gregory D. Hawkins,et al.  Pairwise solute descreening of solute charges from a dielectric medium , 1995 .

[123]  Donald G. Truhlar,et al.  Relative stability of alternative chair forms and hydroxymethyl conformations of β-d-glucopyranose , 1995 .

[124]  Donald G. Truhlar,et al.  Improved methods for semiempirical solvation models , 1995, J. Comput. Chem..

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

[126]  Gillian C. Lynch,et al.  Solvation Modeling in Aqueous and Nonaqueous Solvents. New Techniques and a Reexamination of the Claisen Rearrangement. , 1995 .

[127]  David J. Giesen,et al.  Class IV charge models: A new semiempirical approach in quantum chemistry , 1995, J. Comput. Aided Mol. Des..

[128]  David J. Giesen,et al.  A SEMIEMPIRICAL QUANTUM MECHANICAL SOLVATION MODEL FOR SOLVATION FREE ENERGIES IN ALL ALKANE SOLVENTS , 1995 .

[129]  David J. Giesen,et al.  General Semiempirical Quantum Mechanical Solvation Model for Nonpolar Solvation Free Energies. n-Hexadecane , 1995 .

[130]  R. Cimiraglia,et al.  On the tautomerism of maleimide and phthalimide derivatives , 1994 .

[131]  M. Frisch,et al.  Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields , 1994 .

[132]  Y. Shen,et al.  Surface Vibrational Spectroscopic Studies of Hydrogen Bonding and Hydrophobicity , 1994, Science.

[133]  O. Takahashi,et al.  Ab initio molecular orbital calculations including solvent effects by generalized Born formula. Conformation of zwitterionic forms of glycine, alanine and serine in water , 1994 .

[134]  C. Lim,et al.  Reducing the error due to the uncertainty in the Born radius in continuum dielectric calculations , 1994 .

[135]  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 .

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

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

[138]  C. Cramer,et al.  Hyperconjugation versus apicophilicity in trigonal-bipyramidal phosphorus species , 1993 .

[139]  Shen,et al.  Vibrational spectroscopy of water at the vapor/water interface. , 1993, Physical review letters.

[140]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

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

[142]  Donald G. Truhlar,et al.  AM1-SM2 and PM3-SM3 parameterized SCF solvation models for free energies in aqueous solution , 1992, J. Comput. Aided Mol. Des..

[143]  Walter Thiel,et al.  Extension of MNDO to d Orbitals: Parameters and Results for the Halogens , 1992 .

[144]  C. Cramer,et al.  PM3‐SM3: A general parameterization for including aqueous solvation effects in the PM3 molecular orbital model , 1992 .

[145]  Donald G. Truhlar,et al.  Polarization of the nucleic acid bases in aqueous solution , 1992 .

[146]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[147]  C. Cramer,et al.  An SCF Solvation Model for the Hydrophobic Effect and Absolute Free Energies of Aqueous Solvation , 1992, Science.

[148]  Walter Thiel,et al.  Extension of the MNDO formalism tod orbitals: Integral approximations and preliminary numerical results , 1992 .

[149]  C. Cramer,et al.  General parameterized SCF model for free energies of solvation in aqueous solution , 1991 .

[150]  Estanislao Silla,et al.  GEPOL: An improved description of molecular surfaces. I. Building the spherical surface set , 1990 .

[151]  W. C. Still,et al.  Semianalytical treatment of solvation for molecular mechanics and dynamics , 1990 .

[152]  Donald G. Truhlar,et al.  Generalized born fragment charge model for solvation effects as a function of reaction coordinate , 1989 .

[153]  J. Stewart Optimization of parameters for semiempirical methods I. Method , 1989 .

[154]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[155]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[156]  Jacopo Tomasi,et al.  Electrostatic interaction of a solute with a continuum. Improved description of the cavity and of the surface cavity bound charge distribution. , 1987 .

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

[158]  István Mayer,et al.  Comments on the quantum theory of valence and bonding: Choosing between alternative definitions , 1984 .

[159]  István Mayer,et al.  Charge, bond order and valence in the AB initio SCF theory , 1983 .

[160]  W. Lyman Handbook of chemical property estimation methods , 1982 .

[161]  J. Tomasi,et al.  Electrostatic interaction of a solute with a continuum. A direct utilizaion of AB initio molecular potentials for the prevision of solvent effects , 1981 .

[162]  O. Tapia,et al.  Local Field Representation of Surrounding Medium Effects. From Liquid Solvent to Protein Core Effects , 1980 .

[163]  Walter Thiel,et al.  Ground States of Molecules. 38. The MNDO Method. Approximations and Parameters , 1977 .

[164]  Michael C. Zerner,et al.  An intermediate neglect of differential overlap technique for spectroscopy: Pyrrole and the azines , 1973 .

[165]  James J. P. Stewart,et al.  Bond indices and valency , 1973 .

[166]  Paul K. Weiner,et al.  Ground states of molecules , 1972 .

[167]  J. Stewart,et al.  Molecular orbital theory for the excited states of transition metal complexes , 1972 .

[168]  B. Lee,et al.  The interpretation of protein structures: estimation of static accessibility. , 1971, Journal of molecular biology.

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

[170]  A. Bondi van der Waals Volumes and Radii , 1964 .

[171]  R. S. Mulliken Electronic Population Analysis on LCAO–MO Molecular Wave Functions. I , 1955 .

[172]  P. Löwdin On the Non‐Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals , 1950 .

[173]  E. M.,et al.  Statistical Mechanics , 2021, Manual for Theoretical Chemistry.