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Title: An extensive assessment of the performance of pairwise and many-body interaction potentials in reproducing ab initio benchmark binding energies for water clusters n = 2–25

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI:https://doi.org/10.1039/d2cp03241d· OSTI ID:1964172

We assess the performance of 7 pairwise additive (TIP3P, TIP4P, TIP4P-ice, TIP5P, OPC, SPC, SPC/E) and 8 families of many-body potentials (q-AQUA, HIPPO, AMOEBA, EFP, TTM, WHBB, MB-pol, MB-UCB) in reproducing high-level ab initio benchmark values, CCSD(T) or MP2 at the complete basis set (CBS) limit for the binding energy and the many-body expansion (MBE) of water clusters n = 2–11, 16–17, 20, 25. By including a large range of cluster sizes having dissimilar hydrogen bonding networks, we obtain an understanding of how these potentials perform for different hydrogen bonding arrangements that are mostly outside of their parameterization range. While it is appropriate to compare the results of ab initio based many-body potentials directly to the electronic binding energies (De's), the pairwise additive ones are compared to the enthalpies at T = 298 K, ΔH(298 K), as the latter class of force fields are parametrized to reproduce enthalpies (implicitly accounting for zero-point energy corrections) rather than binding energies. We find that all pairwise additive potentials considered overestimate the reference ΔH values for the n = 2–25 clusters by >13%. For the water dimer (n = 2) in particular, the errors are in the range 83–119% for the pairwise additive potentials studied since these are based on an effective rather than the true 2-body interaction specifically designed as a means of partially accounting for the missing many-body terms. This stronger 2-body interaction is achieved by an enhanced monomer dipole moment that mimics its increase from the gas phase monomer to the condensed phase value. Indeed, for cluster sizes n ≥ 4 the percent deviations become slightly smaller (albeit all exceeding 13%). In contrast, we find that the many-body potentials perform more accurately in reproducing the electronic binding energies (De's) throughout the entire cluster range (n = 2–25), all reproducing the ab initio benchmark binding energies within ±7% of the respective CBS values. We further assess the ability of a subset of the many-body potentials (MB-UCB, q-AQUA, MB-pol, and TTM2.1-F) to also reproduce the magnitude of the ab initio many-body energy terms for water cluster sizes n = 7, 10, 16 and 17. The potentials show an overall good agreement with the available benchmark values. However, we identify characteristic differences upon comparing the many-body terms at both the ab initio-optimized geometries and the respective potential-optimized geometries to the reference ab initio values. Additionally, by applying this analysis to a wide range of cluster sizes, trends in the MBE of the potentials with increasing cluster size can be identified. Finally, in an attempt to draw a parallel between the pairwise additive and many-body potentials, we report the analysis of the individual molecular dipole moments for water clusters with 1 to ~4 solvation shells with the TTM2.1-F potential. We find that the internally solvated water molecules have in general a larger molecular dipole moment ranging from 2.6–3.0 D. This justifies the use of an enhanced, with respect to the gas-phase value, molecular dipole moment for the pairwise additive potentials, which is intended to fold in the many body terms into an effective (enhanced) pairwise interaction through the choice of the charges. These results have important implications for the development of future generations of efficient, transferable, and highly accurate classical interaction potentials in both the pairwise additive and many-body categories.

Research Organization:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
AC05-76RL01830; FWP 16249; AC02-05CH11231
OSTI ID:
1964172
Report Number(s):
PNNL-SA-165839
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Vol. 25, Issue 10; ISSN 1463-9076
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (108)

The vibrational proton potential in bulk liquid water and ice journal April 2008
Development of an Advanced Force Field for Water Using Variational Energy Decomposition Analysis journal August 2019
Generalized Gradient Approximation Made Simple journal October 1996
Correlation Consistent Gaussian Basis Sets for H, B–Ne with Dirac–Fock AREP Pseudopotentials: Applications in Quantum Monte Carlo Calculations journal April 2013
The spectroscopic signature of the “all-surface” to “internally solvated” structural transition in water clusters in the n=17–21 size regime journal May 2005
A quantitative account of quantum effects in liquid water journal October 2006
Quantum Monte Carlo Study of the Water Dimer Binding Energy and Halogen−π Interactions journal August 2019
Monitoring Water Clusters “Melt” Through Vibrational Spectroscopy journal May 2017
Predictions of the Properties of Water from First Principles journal March 2007
Polarizable Water Potential Derived from a Model Electron Density journal October 2021
Infrared Spectroscopy and Hydrogen-Bond Dynamics of Liquid Water from Centroid Molecular Dynamics with an Ab Initio-Based Force Field journal October 2009
Predictions for water clusters from a first-principles two- and three-body force field journal May 2014
Beyond Badger’s Rule: The Origins and Generality of the Structure–Spectra Relationship of Aqueous Hydrogen Bonds journal February 2019
How good are polarizable and flexible models for water: Insights from a many-body perspective journal August 2020
The binding energies of the D2d and S4 water octamer isomers: High-level electronic structure and empirical potential results journal January 2004
q-AQUA: A Many-Body CCSD(T) Water Potential, Including Four-Body Interactions, Demonstrates the Quantum Nature of Water from Clusters to the Liquid Phase journal June 2022
Ab initio studies of cyclic water clusters (H 2 O) n , n =1–6. II. Analysis of many‐body interactions journal May 1994
Characterization of a cage form of the water hexamer journal June 1996
Transferable ab Initio Dipole Moment for Water: Three Applications to Bulk Water journal October 2015
Development of a 3-body:many-body integrated fragmentation method for weakly bound clusters and application to water clusters (H 2 O) n = 3 − 10, 16, 17 journal July 2011
Pinning Down the Water Hexamer journal May 2012
Atlas of putative minima and low-lying energy networks of water clusters n = 3–25 journal December 2019
The Many-Body Expansion for Aqueous Systems Revisited: I. Water–Water Interactions journal October 2020
An accurate analytic representation of the water pair potential journal January 2008
The Water Dipole Moment in Water Clusters journal February 1997
Benchmark Structures and Binding Energies of Small Water Clusters with Anharmonicity Corrections journal November 2011
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Concerted hydrogen-bond breaking by quantum tunneling in the water hexamer prism journal March 2016
Recent developments in the general atomic and molecular electronic structure system journal April 2020
Structures of Cage, Prism, and Book Isomers of Water Hexamer from Broadband Rotational Spectroscopy journal May 2012
Infrared detection of (H 2 O) 20 isomers of exceptional stability: a drop-like and a face-sharing pentagonal prism cluster journal January 2014
Water clusters: Untangling the mysteries of the liquid, one molecule at a time journal September 2001
Estimating 3-D location parameters using dual number quaternions journal November 1991
Tetrahedral structure or chains for liquid water journal May 2006
Quantum and statistical mechanical studies of liquids. 10. Transferable intermolecular potential functions for water, alcohols, and ethers. Application to liquid water journal January 1981
Development of transferable interaction potentials for water. V. Extension of the flexible, polarizable, Thole-type model potential ( TTM3-F , v. 3.0) to describe the vibrational spectra of water clusters and liquid water journal February 2008
CCSD(T) Complete Basis Set Limit Relative Energies for Low-Lying Water Hexamer Structures journal April 2009
Study of Small Water Clusters Using the Effective Fragment Potential Model journal March 1998
Breaking the bottleneck: Use of molecular tailoring approach for the estimation of binding energies at MP2/CBS limit for large water clusters journal March 2016
A general purpose model for the condensed phases of water: TIP4P/2005 journal December 2005
Tinker‐OpenMM: Absolute and relative alchemical free energies using AMOEBA on GPUs journal June 2017
High-level ab initio calculations for the four low-lying families of minima of(H2O)20. II. Spectroscopic signatures of the dodecahedron, fused cubes, face-sharing pentagonal prisms, and edge-sharing pentagonal prisms hydrogen bonding networks journal April 2005
Water Clusters journal February 1996
Lowest-Energy Structures of Water Clusters (H 2 O) 11 and (H 2 O) 13 journal October 2006
Surface Vibrations of Large Water Clusters by He Atom Scattering journal March 1998
Modeling Molecular Interactions in Water: From Pairwise to Many-Body Potential Energy Functions journal May 2016
Development of a “First-Principles” Water Potential with Flexible Monomers. III. Liquid Phase Properties journal July 2014
The missing term in effective pair potentials journal November 1987
Dispersion Interactions in Water Clusters journal May 2017
A Fully Size-Resolved Perspective on the Crystallization of Water Clusters journal September 2012
The parametrization of a Thole-type all-atom polarizable water model from first principles and its application to the study of water clusters ( n =2–21) and the phonon spectrum of ice Ih journal March 1999
An accurate and efficient computational protocol for obtaining the complete basis set limits of the binding energies of water clusters at the MP2 and CCSD(T) levels of theory: Application to (H 2 O) m , m = 2-6, 8, 11, 16, and 17 journal June 2015
Formation of Exotic Networks of Water Clusters in Helium Droplets Facilitated by the Presence of Neon Atoms journal March 2017
The effective fragment potential: Small clusters and radial distribution functions journal January 2004
Development of transferable interaction models for water. II. Accurate energetics of the first few water clusters from first principles journal January 2002
On the Contribution of Vibrational Anharmonicity to the Binding Energies of Water Clusters journal April 2005
A solution for the best rotation to relate two sets of vectors journal September 1976
A CCSD(T)-Based 4-Body Potential for Water journal October 2021
Quantum chemistry by random walk. H 2 P , H + 3 D 3 h 1 A1 , H 2 3 Σ + u , H 4 1 Σ + g , Be 1 S journal November 1976
Structural transitions and dipole moment of water clusters (H2O)n=4–100 journal July 2010
CHEMISTRY: Enhanced: The Structure of Protonated Water Clusters journal May 2004
Development of a “First Principles” Water Potential with Flexible Monomers: Dimer Potential Energy Surface, VRT Spectrum, and Second Virial Coefficient journal November 2013
Revised Parameters for the AMOEBA Polarizable Atomic Multipole Water Model journal September 2014
High-Level Ab Initio Electronic Structure Calculations of Water Clusters (H 2 O) 16 and (H 2 O) 17 : A New Global Minimum for (H 2 O) 16 journal October 2010
A five-site model for liquid water and the reproduction of the density anomaly by rigid, nonpolarizable potential functions journal May 2000
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Quantifying Hydrogen Bond Cooperativity in Water: VRT Spectroscopy of the Water Tetramer journal January 1996
Optimal geometries and harmonic vibrational frequencies of the global minima of water clusters (H 2 O) n , n = 2–6, and several hexamer local minima at the CCSD(T) level of theory journal September 2013
Guest–Host Interactions in Clathrate Hydrates: Benchmark MP2 and CCSD(T)/CBS Binding Energies of CH4, CO2, and H2S in (H2O)20 Cages journal August 2021
Benchmark Study of the Interaction Energy for an (H 2 O) 16 Cluster: Quantum Monte Carlo and Complete Basis Set Limit MP2 Results journal June 2013
AMOEBA+ Classical Potential for Modeling Molecular Interactions journal May 2019
Simple intramolecular model potentials for water journal June 1987
Interaction energies of large clusters from many-body expansion journal December 2011
On the accuracy of the MB-pol many-body potential for water: Interaction energies, vibrational frequencies, and classical thermodynamic and dynamical properties from clusters to liquid water and ice journal November 2016
Development of a “First Principles” Water Potential with Flexible Monomers. II: Trimer Potential Energy Surface, Third Virial Coefficient, and Small Clusters journal March 2014
NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations journal September 2010
Broadband Fourier transform rotational spectroscopy for structure determination: The water heptamer journal May 2013
Convergence of the Many-Body Expansion for Energy and Forces for Classical Polarizable Models in the Condensed Phase journal July 2016
Can Water Polarizability Be Ignored in Hydrogen Bond Kinetics? journal February 2002
An Interpretation of the Enhancement of the Water Dipole Moment Due to the Presence of Other Water Molecules journal June 2008
SciPy 1.0: fundamental algorithms for scientific computing in Python journal February 2020
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
A potential model for the study of ices and amorphous water: TIP4P/Ice journal June 2005
Accurate Predictions of Water Cluster Formation, (H 2 O) n =2−10 journal November 2010
Hydrogen Bond Cooperativity and the Three-Dimensional Structures of Water Nonamers and Decamers journal October 2014
Water nanodroplets: Predictions of five model potentials journal May 2013
Tinker 8: Software Tools for Molecular Design journal August 2018
A random‐walk simulation of the Schrödinger equation: H + 3 journal August 1975
The Flexible, Polarizable, Thole-Type Interaction Potential for Water (TTM2-F) Revisited journal March 2006
Infrared cavity ringdown spectroscopy of water clusters: O–D stretching bands journal December 1998
Measurement of quantum tunneling between chiral isomers of the cyclic water trimer journal September 1992
High-level ab initio calculations for the four low-lying families of minima of (H[sub 2]O)[sub 20]. I. Estimates of MP2/CBS binding energies and comparison with empirical potentials journal January 2004
Low energy isomers of (H2O)25 from a hierarchical method based on Monte Carlo temperature basin paving and molecular tailoring approaches benchmarked by MP2 calculations journal October 2014
Cooperativity and hydrogen bonding network in water clusters journal August 2000
A Novel Approach to Parallel Coupled Cluster Calculations:  Combining Distributed and Shared Memory Techniques for Modern Cluster Based Systems journal May 2007
Quantum Monte Carlo calculations of the dissociation energy of the water dimer journal September 2006
A New, Dispersion-Driven Intermolecular Arrangement for the Benzene–Water Octamer Complex: Isomers and Analysis of their Vibrational Spectra journal July 2016
The Role of Anharmonicity in Hydrogen-Bonded Systems: The Case of Water Clusters journal August 2011
Building Water Models: A Different Approach journal October 2014
Accurate structures and binding energies for small water clusters: The water trimer journal May 1999
The formation of cyclic water complexes by sequential ring insertion: Experiment and theory journal July 2002
Application of a semi‐empirical dispersion correction for modeling water clusters journal October 2018
The determination of an accurate isotope dependent potential energy surface for water from extensive ab initio calculations and experimental data journal March 1997
Implementation of Geometry-Dependent Charge Flux into the Polarizable AMOEBA+ Potential journal December 2019
Infrared spectroscopy of small size‐selected water clusters journal January 1996
The bend angle of water in ice Ih and liquid water: The significance of implementing the nonlinear monomer dipole moment surface in classical interaction potentials journal May 2006
Systematic Improvement of a Classical Molecular Model of Water journal August 2013
Flexible, ab initio potential, and dipole moment surfaces for water. I. Tests and applications for clusters up to the 22-mer journal March 2011

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