Polarizable continuum model

The polarizable continuum model (PCM) is a computational method originally formulated 30 years ago but still today it represents one of the most successful examples among continuum solvation models. Such a success is mainly because of the continuous improvements, both in terms of computational efficiency and generality, made by all the people involved in the PCM project. The result of these efforts is that nowadays, PCM, with all its different variants, is the default choice in many computational codes to couple a quantum–mechanical (QM) description of a molecular system with a continuum description of the environment. In this review, a brief presentation of the main methodological and computational aspects of the method will be given together with an analysis of strengths and critical issues of its coupling with different QM methods. Finally, some examples of applications will be presented and discussed to show the potentialities of PCM in describing the effects of environments of increasing complexity. © 2012 John Wiley & Sons, Ltd.

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

[2]  Christian Silvio Pomelli,et al.  A Symmetry adapted tessellation of the GEPOL surface: applications to molecular properties in solution , 2001, Journal of Computational Chemistry.

[3]  Lasse Jensen,et al.  Theoretical studies of plasmonics using electronic structure methods. , 2011, Chemical reviews.

[4]  Luca Frediani,et al.  Solvation of N3- at the water surface: the polarizable continuum model approach. , 2006, The journal of physical chemistry. B.

[5]  Luca Frediani,et al.  Toward a General Formulation of Dispersion Effects for Solvation Continuum Models. , 2010, Journal of chemical theory and computation.

[6]  Andrey S. Klymchenko,et al.  Fluorene Analogues of Prodan with Superior Fluorescence Brightness and Solvatochromism , 2010 .

[7]  Giovanni Scalmani,et al.  Non covalent interactions in RNA and DNA base pairs: a quantum-mechanical study of the coupling between solvent and electronic density. , 2009, Physical chemistry chemical physics : PCCP.

[8]  Yi Luo,et al.  Modeling of dynamic molecular solvent properties using local and cavity field approaches , 2000 .

[9]  Jacopo Tomasi,et al.  Solvent effects on nuclear shieldings: continuum or discrete solvation models to treat hydrogen bond and polarity effects? , 2001 .

[10]  Jacopo Tomasi,et al.  On the Calculation of Infrared Intensities in Solution within the Polarizable Continuum Model , 2000 .

[11]  M. Lamy,et al.  Laurdan in Fluid Bilayers: Position and Structural Sensitivity , 2006, Journal of Fluorescence.

[12]  János G. Ángyán,et al.  CHOOSING BETWEEN ALTERNATIVE MP2 ALGORITHMS IN THE SELF-CONSISTENT REACTION FIELD THEORY OF SOLVENT EFFECTS , 1995 .

[13]  Jacopo Tomasi,et al.  An attempt to bridge the gap between computation and experiment for nonlinear optical properties: Macroscopic susceptibilities in solution , 2000 .

[14]  Jacopo Tomasi,et al.  Selected features of the polarizable continuum model for the representation of solvation , 2011 .

[15]  M. L. Connolly Analytical molecular surface calculation , 1983 .

[16]  Jacopo Tomasi,et al.  Excitation energies of a molecule close to a metal surface , 2002 .

[17]  Christian Silvio Pomelli,et al.  New developments in the symmetry‐adapted algorithm of the Polarizable Continuum Model , 2004, J. Comput. Chem..

[18]  K. Ruud,et al.  Solvent effects on the conformational distribution and optical rotation of gamma-methyl paraconic acids and esters. , 2006, Chirality.

[19]  Jacopo Tomasi,et al.  Evaluation of Solvent Effects in Isotropic and Anisotropic Dielectrics and in Ionic Solutions with a Unified Integral Equation Method: Theoretical Bases, Computational Implementation, and Numerical Applications , 1997 .

[20]  Giovanni Scalmani,et al.  Continuous surface charge polarizable continuum models of solvation. I. General formalism. , 2010, The Journal of chemical physics.

[21]  Jacopo Tomasi,et al.  On the Calculation of Local Field Factors for Microscopic Static Hyperpolarizabilities of Molecules in Solution with the Aid of Quantum-Mechanical Methods , 1998 .

[22]  Benedetta Mennucci,et al.  Continuum Solvation Models: What Else Can We Learn from Them? , 2010 .

[23]  R. Pierotti,et al.  A scaled particle theory of aqueous and nonaqueous solutions , 1976 .

[24]  Car,et al.  Unified approach for molecular dynamics and density-functional theory. , 1985, Physical review letters.

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

[26]  Roberto Cammi,et al.  Quantum mechanical polarizable continuum model approach to the Kerr effect of pure liquids. , 2005, The journal of physical chemistry. B.

[27]  Jacopo Tomasi,et al.  Evaluation of dispersion—repulsion contributions to the solvation energy. Calibration of the uniform approximation with the aid of RISM calculations , 1993 .

[28]  D. M. Bishop,et al.  Effective polarizabilities and local field corrections for nonlinear optical experiments in condensed media , 1998 .

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

[30]  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 .

[31]  Jacopo Tomasi,et al.  Modeling solvent effects on chiroptical properties. , 2011, Chirality.

[32]  Benedetta Mennucci,et al.  How to model solvation of peptides? Insights from a quantum-mechanical and molecular dynamics study of N-methylacetamide. 1. Geometries, infrared, and ultraviolet spectra in water. , 2005, The journal of physical chemistry. B.

[33]  Roberto Cammi,et al.  Continuum Solvation Models in Chemical Physics , 2007 .

[34]  M. Lamy,et al.  Laurdan Spectrum Decomposition as a Tool for the Analysis of Surface Bilayer Structure and Polarity: a Study with DMPG, Peptides and Cholesterol , 2010, Journal of Fluorescence.

[35]  Jacopo Tomasi,et al.  Vibrational circular dichroism within the polarizable continuum model: a theoretical evidence of conformation effects and hydrogen bonding for (S)-(-)-3-butyn-2-ol in CCl4 solution , 2002 .

[36]  Jacopo Tomasi,et al.  The Cotton–Mouton effect of furan and its homologues in the gas phase, for the pure liquids and in solution , 2003 .

[37]  J. Tomasi,et al.  Electronic excitation energies of molecules in solution: state specific and linear response methods for nonequilibrium continuum solvation models. , 2005, The Journal of chemical physics.

[38]  Benedetta Mennucci,et al.  The escaped charge problem in solvation continuum models , 2001 .

[39]  Roberto Improta,et al.  Quantum mechanical computations and spectroscopy: from small rigid molecules in the gas phase to large flexible molecules in solution. , 2008, Accounts of chemical research.

[40]  Jacopo Tomasi,et al.  Enhanced response properties of a chromophore physisorbed on a metal particle , 2001 .

[41]  George C Schatz,et al.  Electronic structure methods for studying surface-enhanced Raman scattering. , 2008, Chemical Society reviews.

[42]  Jacopo Tomasi,et al.  Dispersion and repulsion contributions to the solvation free energy: Comparison of quantum mechanical and classical approaches in the polarizable continuum model , 2006, J. Comput. Chem..

[43]  Giovanni Scalmani,et al.  Practical computation of electronic excitation in solution: vertical excitation model , 2011 .

[44]  Roberto Cammi,et al.  Continuum solvation models in chemical physics : from theory to applications , 2007 .

[45]  Luca Frediani,et al.  Solvent effects on Raman optical activity spectra calculated using the polarizable continuum model. , 2006, The journal of physical chemistry. A.

[46]  Jacopo Tomasi,et al.  Cavity field effects within a polarizable continuum model of solvation: Application to the calculation of electronic circular dichroism spectra of R‐(+)‐3‐methyl‐cyclopentanone , 2011 .

[47]  F. Javier Luque,et al.  Extension of the MST model to the IEF formalism: HF and B3LYP parametrizations , 2005 .

[48]  J. Tomasi,et al.  Dispersion and repulsion contributions to the solvation energy: Refinements to a simple computational model in the continuum approximation , 1991 .

[49]  Giovanni Scalmani,et al.  New developments in the polarizable continuum model for quantum mechanical and classical calculations on molecules in solution , 2002 .

[50]  Kankan Bhattacharyya,et al.  Solvation dynamics of 4-aminophthalimide in dioxane–water mixture , 2004 .

[51]  D. Chipman Reaction field treatment of charge penetration , 2000 .

[52]  Jacopo Tomasi,et al.  Evaluation of the dispersion contribution to the solvation energy. A simple computational model in the continuum approximation , 1989 .

[53]  Sadhan Basu,et al.  Theory of Solvent Effects on Molecular Electronic Spectra , 1964 .

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

[55]  Giulia Parisio,et al.  Solute Partitioning into Lipid Bilayers: An Implicit Model for Nonuniform and Ordered Environment. , 2010, Journal of chemical theory and computation.

[56]  Benedetta Mennucci,et al.  Comment on “Reaction field treatment of charge penetration” [J. Chem. Phys. 112, 5558 (2000)] , 2001 .

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

[58]  Jacopo Tomasi,et al.  Theoretical Approach to the Calculation of Vibrational Raman Spectra in Solution within the Polarizable Continuum Model , 2001 .

[59]  Jacopo Tomasi,et al.  A polarizable continuum model for molecules at diffuse interfaces. , 2004, The Journal of chemical physics.

[60]  Jacopo Tomasi,et al.  Remarks on the use of the apparent surface charges (ASC) methods in solvation problems: Iterative versus matrix‐inversion procedures and the renormalization of the apparent charges , 1995, J. Comput. Chem..

[61]  Giovanni Scalmani,et al.  A variational formulation of the polarizable continuum model. , 2010, The Journal of chemical physics.

[62]  Benedetta Mennucci,et al.  Self-Consistent-Field Calculation of Pauli Repulsion and Dispersion Contributions to the Solvation Free Energy in the Polarizable Continuum Model , 1997 .

[63]  Jacopo Tomasi,et al.  Electron correlation and solvation effects. I, Basic formulation and preliminary attempt to include the electron correlation in the quantum mechanical polarizable continuum model so as to study solvation phenomena , 1991 .

[64]  A. Klamt The COSMO and COSMO‐RS solvation models , 2011 .

[65]  Jacopo Tomasi,et al.  Radiative and nonradiative decay rates of a molecule close to a metal particle of complex shape. , 2004, The Journal of chemical physics.

[66]  J. Tomasi,et al.  Quantum mechanical continuum solvation models. , 2005, Chemical reviews.

[67]  Benedetta Mennucci,et al.  How to model solvation of peptides? Insights from a quantum mechanical and molecular dynamics study of N-methylacetamide. 2. 15N and 17O nuclear shielding in water and in acetone. , 2005, The journal of physical chemistry. B.

[68]  Benedetta Mennucci,et al.  Polarity-sensitive fluorescent probes in lipid bilayers: bridging spectroscopic behavior and microenvironment properties. , 2011, The journal of physical chemistry. B.

[69]  Takehiko Abe,et al.  Theory of Solvent Effects on Molecular Electronic Spectra. Frequency Shifts , 1965 .

[70]  Iñaki Tuñón,et al.  GEPOL: An improved description of molecular surfaces II. Computing the molecular area and volume , 1991 .

[71]  Benedetta Mennucci,et al.  Surface-Enhanced Fluorescence within a Metal Nanoparticle Array: The Role of Solvent and Plasmon Couplings , 2011 .

[72]  G. Grisetti,et al.  Further Reading , 1984, IEEE Spectrum.

[73]  Iñaki Tuñón,et al.  GEPOL: An improved description of molecular surfaces. III. A new algorithm for the computation of a solvent‐excluding surface , 1994, J. Comput. Chem..

[74]  F.J.Olivares del Valle,et al.  Polarizable continuum model calculations including electron correlation in the ab initio wavefunction , 1993 .

[75]  Benedetta Mennucci,et al.  New applications of integral equations methods for solvation continuum models: ionic solutions and liquid crystals , 1998 .

[76]  Benedetta Mennucci,et al.  What is solvatochromism? , 2010, The journal of physical chemistry. B.

[77]  Roberto Cammi,et al.  Quantum-Mechanical Continuum Solvation Study of the Polarizability of Halides at the Water/Air Interface , 2004 .

[78]  Jacopo Tomasi,et al.  Formation and relaxation of excited states in solution: a new time dependent polarizable continuum model based on time dependent density functional theory. , 2006, The Journal of chemical physics.

[79]  Martin Karplus,et al.  A Smooth Solvation Potential Based on the Conductor-Like Screening Model , 1999 .

[80]  Donald G Truhlar,et al.  Sorting Out the Relative Contributions of Electrostatic Polarization, Dispersion, and Hydrogen Bonding to Solvatochromic Shifts on Vertical Electronic Excitation Energies. , 2010, Journal of chemical theory and computation.

[81]  O Nilsson,et al.  Molecular volumes and surfaces of biomacromolecules via GEPOL: a fast and efficient algorithm. , 1990, Journal of molecular graphics.

[82]  Jacopo Tomasi,et al.  Molecular Interactions in Solution: An Overview of Methods Based on Continuous Distributions of the Solvent , 1994 .

[83]  Roberto Improta,et al.  A state-specific polarizable continuum model time dependent density functional theory method for excited state calculations in solution. , 2006, The Journal of chemical physics.

[84]  J. Tomasi,et al.  Electronic excitation energies of molecules in solution within continuum solvation models: investigating the discrepancy between state-specific and linear-response methods. , 2005, The Journal of chemical physics.

[85]  Joseph R. Lakowicz,et al.  Advances in Surface-Enhanced Fluorescence , 2004, Journal of Fluorescence.

[86]  Martin Moskovits,et al.  Surface-Enhanced Raman Scattering , 2006 .

[87]  Benedetta Mennucci,et al.  Fluorescence Enhancement of Chromophores Close to Metal Nanoparticles. Optimal Setup Revealed by the Polarizable Continuum Model , 2009 .