skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An Estimation of Hybrid Quantum Mechanical Molecular Mechanical Polarization Energies for Small Molecules Using Polarizable Force-Field Approaches

Journal Article · · Journal of Chemical Theory and Computation

Here in this work, we report two polarizable molecular mechanics (polMM) force field models for estimating the polarization energy in hybrid quantum mechanical molecular mechanical (QM/MM) calculations. These two models, named the potential of atomic charges (PAC) and potential of atomic dipoles (PAD), are formulated from the ab initio quantum mechanical (QM) response kernels for the prediction of the QM density response to an external molecular mechanical (MM) environment (as described by external point charges). The PAC model is similar to fluctuating charge (FQ) models because the energy depends on external electrostatic potential values at QM atomic sites; the PAD energy depends on external electrostatic field values at QM atomic sites, resembling induced dipole (ID) models. To demonstrate their uses, we apply the PAC and PAD models to 12 small molecules, which are solvated by TIP3P water. The PAC model reproduces the QM/MM polarization energy with a R2 value of 0.71 for aniline (in 10,000 TIP3P water configurations) and 0.87 or higher for other eleven solute molecules, while the PAD model has a much better performance with R2 values of 0.98 or higher. The PAC model reproduces reference QM/MM hydration free energies for 12 solute molecules with a RMSD of 0.59 kcal/mol. The PAD model is even more accurate, with a much smaller RMSD of 0.12 kcal/mol, with respect to the reference. Lastly, this suggests that polarization effects, including both local charge distortion and intramolecular charge transfer, can be well captured by induced dipole type models with proper parametrization.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0012704; SC0011297; GM096678-02; GM072558; GM051501
OSTI ID:
1342645
Report Number(s):
BNL-113460-2017-JA; R&D Project: 16068; KC0403020
Journal Information:
Journal of Chemical Theory and Computation, Vol. 13, Issue 2; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

References (106)

Polarizable force fields journal April 2001
Empirical force fields for biological macromolecules: Overview and issues journal January 2004
Advanced Potential Energy Surfaces for Condensed Phase Simulation journal April 2014
Electronegativity equalization: application and parametrization journal February 1985
Electronegativity-equalization method for the calculation of atomic charges in molecules journal July 1986
Charge equilibration for molecular dynamics simulations journal April 1991
Dynamical fluctuating charge force fields: Application to liquid water journal October 1994
Dynamical Fluctuating Charge Force Fields: The Aqueous Solvation of Amides journal January 1996
A chemical potential equalization method for molecular simulations journal January 1996
Hybrid quantum mechanical/molecular mechanical fluctuating charge models for condensed phase simulations journal August 1997
Constructing ab initio force fields for molecular dynamics simulations journal March 1998
A chemical potential equalization model for treating polarization in molecular mechanical force fields journal June 2000
A transferable polarizable electrostatic force field for molecular mechanics based on the chemical potential equalization principle journal November 2002
CHARMM fluctuating charge force field for proteins: I parameterization and application to bulk organic liquid simulations journal January 2003
CHARMM fluctuating charge force field for proteins: II Protein/solvent properties from molecular dynamics simulations using a nonadditive electrostatic model journal January 2004
QTPIE: Charge transfer with polarization current equalization. A fluctuating charge model with correct asymptotics journal April 2007
A unified theoretical framework for fluctuating-charge models in atom-space and in bond-space journal December 2008
Charge conservation in electronegativity equalization and its implications for the electrostatic properties of fluctuating-charge models journal July 2009
Nonadditive Empirical Force Fields for Short-Chain Linear Alcohols: Methanol to Butanol. Hydration Free Energetics and Kirkwood−Buff Analysis Using Charge Equilibration Models journal August 2010
The effects of charge transfer on the properties of liquid water journal May 2011
The effects of charge transfer on the aqueous solvation of ions journal July 2012
A Polarizable Intermolecular Potential Function for Simulation of Liquid Alcohols journal November 1995
Simulation of Liquid Amides Using a Polarizable Intermolecular Potential Function journal January 1996
An effective fragment method for modeling solvent effects in quantum mechanical calculations journal August 1996
Polarizable Atomic Multipole Water Model for Molecular Mechanics Simulation journal May 2003
Gradients of the polarization energy in the effective fragment potential method journal November 2006
Comparison of models with distributed polarizable sites for describing water clusters journal October 2007
Development of a Polarizable Intermolecular Potential Function (PIPF) for Liquid Amides and Alkanes journal October 2007
Current Status of the AMOEBA Polarizable Force Field journal March 2010
A second generation distributed point polarizable water model journal January 2010
Polarizable Atomic Multipole-Based Molecular Mechanics for Organic Molecules journal August 2011
Fragmentation Methods: A Route to Accurate Calculations on Large Systems journal August 2011
LIBEFP: A new parallel implementation of the effective fragment potential method as a portable software library journal July 2013
Effective fragment potential method in Q-CHEM : A guide for users and developers : Software News and Updates journal January 2013
Systematic Improvement of a Classical Molecular Model of Water journal August 2013
Advanced Potential Energy Surfaces for Molecular Simulation journal August 2016
Molecular Dynamics Simulations with Interaction Potentials Including Polarization Development of a Noniterative Method and Application to Water journal September 1990
A simple polarizable model of water based on classical Drude oscillators journal September 2003
A polarizable model of water for molecular dynamics simulations of biomolecules journal January 2006
Six-site polarizable model of water based on the classical Drude oscillator journal January 2013
A polarizable empirical force field for molecular dynamics simulation of liquid hydrocarbons journal February 2014
All-atom polarizable force field for DNA based on the classical drude oscillator model journal April 2014
Balancing the Interactions of Ions, Water, and DNA in the Drude Polarizable Force Field journal June 2014
An Empirical Polarizable Force Field Based on the Classical Drude Oscillator Model: Development History and Recent Applications journal January 2016
Fluctuating Charge, Polarizable Dipole, and Combined Models:  Parameterization from ab Initio Quantum Chemistry journal June 1999
Multiple Environment Single System Quantum Mechanical/Molecular Mechanical (MESS-QM/MM) Calculations. 1. Estimation of Polarization Energies journal September 2014
Computation of Hydration Free Energies Using the Multiple Environment Single System Quantum Mechanical/Molecular Mechanical Method journal December 2015
Direct computation of parameters for accurate polarizable force fields journal November 2014
Determining polarizable force fields with electrostatic potentials from quantum mechanical linear response theory journal June 2016
Ab Initio Molecular Orbital Theory on Intramolecular Charge Polarization:  Effect of Hydrogen Abstraction on the Charge Sensitivity of Aromatic and Nonaromatic Species journal April 1997
The Charge Response Kernel with Modified Electrostatic Potential Charge Model journal March 2002
Reaction path potential for complex systems derived from combined ab initio quantum mechanical and molecular mechanical calculations journal January 2004
Comparison of simple potential functions for simulating liquid water journal July 1983
Distributed polarizabilities obtained using a constrained density-fitting algorithm journal January 2006
Intermolecular Coulomb Couplings from Ab Initio Electrostatic Potentials:  Application to Optical Transitions of Strongly Coupled Pigments in Photosynthetic Antennae and Reaction Centers journal August 2006
Practical schemes for distributed polarizabilities journal April 1993
Distributed polarizabilities using the topological theory of atoms in molecules journal March 1994
Distributed dispersion: A new approach journal September 2003
Local properties of quantum chemical systems: The LoProp approach journal September 2004
Local polarizabilities and dispersion energy coefficients journal June 2008
Accuracy of distributed multipoles and polarizabilities: Comparison between the LoProp and MpProp models journal January 2007
Variation of Ion Polarizability from Vacuum to Hydration: Insights from Hirshfeld Partitioning journal August 2010
Distributed molecular polarisabilities and asymptotic intermolecular interaction energies journal May 2013
Reduced and quenched polarizabilities of interior atoms in molecules journal January 2013
Numerical Study on the Partitioning of the Molecular Polarizability into Fluctuating Charge and Induced Atomic Dipole Contributions journal May 2015
Perturbation Approach to Combined QM/MM Simulation of Solute−Solvent Interactions in Solution journal January 2003
Quantum mechanics/molecular mechanics minimum free-energy path for accurate reaction energetics in solution and enzymes: Sequential sampling and optimization on the potential of mean force surface journal January 2008
Free Energies of Chemical Reactions in Solution and in Enzymes with Ab Initio Quantum Mechanics/Molecular Mechanics Methods journal May 2008
Efficient calculation of the energy of a molecule in an arbitrary electric field journal January 2009
Ultrafast Quantum Mechanics/Molecular Mechanics Monte Carlo simulations using generalized multipole polarizabilities journal March 2012
Efficient calculation of the density response function from generalized polarizabilities journal December 2015
A priori evaluation of aqueous polarization effects through Monte Carlo QM-MM simulations journal October 1992
Energy components of aqueous solution: Insight from hybrid QM/MM simulations using a polarizable solvent model journal June 1997
Polarization effects in generalized molecular interaction potential: New Hamiltonian for reactivity studies and mixed QM/MM calculations journal June 1998
Fast evaluation of induction energies: a second-order perturbation theory approach journal December 2000
Hardness, softness, and the fukui function in the electronic theory of metals and catalysis. journal October 1985
Molecular hardness and softness, local hardness and softness, hardness and softness kernels, and relations among these quantities journal February 1988
Strategies for computing chemical reactivity indices journal September 2001
The unconstrained local hardness: an intriguing quantity, beset by problems journal January 2011
Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections journal January 2008
Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions journal January 1980
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
CHARMM: The biomolecular simulation program journal July 2009
Density-functional exchange-energy approximation with correct asymptotic behavior journal September 1988
A new mixing of Hartree–Fock and local density‐functional theories journal January 1993
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Self‐consistent molecular orbital methods. XVIII. Constraints and stability in Hartree–Fock theory journal April 1977
An approach to computing electrostatic charges for molecules journal April 1984
Atomic charges derived from semiempirical methods journal May 1990
Non-Boltzmann sampling and Bennett's acceptance ratio method: How to profit from bending the rules journal November 2010
Multiscale Free Energy Simulations: An Efficient Method for Connecting Classical MD Simulations to QM or QM/MM Free Energies Using Non-Boltzmann Bennett Reweighting Schemes journal March 2014
Efficient treatment of induced dipoles journal August 2015
Compatibility of Quantum Chemical Methods and Empirical (MM) Water Models in Quantum Mechanics/Molecular Mechanics Liquid Water Simulations journal November 2009
Consistent treatment of inter- and intramolecular polarization in molecular mechanics calculations journal October 2002
A well-behaved electrostatic potential based method using charge restraints for deriving atomic charges: the RESP model journal October 1993
Conformational dependence of electrostatic potential-derived charges: Studies of the fitting procedure journal July 1993
Fitting Molecular Electrostatic Potentials from Quantum Mechanical Calculations journal March 2007
A numerically stable restrained electrostatic potential charge fitting method journal December 2012
Induced dipole moment and atomic charges based on average electrostatic potentials in aqueous solution journal February 1993
A general population analysis preserving the dipole moment journal January 1983
A charge analysis derived from an atomic multipole expansion journal January 2000
Dipole preserving and polarization consistent charges journal May 2011
Classical Electrostatics for Biomolecular Simulations journal August 2013
A QM/MM Approach Using the AMOEBA Polarizable Embedding: From Ground State Energies to Electronic Excitations journal July 2016
LICHEM: A QM/MM program for simulations with multipolar and polarizable force fields: A QM/MM Program for Simulations with Multipolar and Polarizable Force Fields journal January 2016
TINKTEP: A fully self-consistent, mutually polarizable QM/MM approach based on the AMOEBA force field journal September 2016

Cited By (2)