Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Toward Automated Sampling of Polymorph Nucleation and Free Energies with the SGOOP and Metadynamics

Journal Article · · Journal of Physical Chemistry. B
 [1];  [2];  [2]
  1. University of Maryland, College Park, MD (United States); University of Maryland at College Park
  2. University of Maryland, College Park, MD (United States)
Understanding the driving forces behind the nucleation of different polymorphs is of great importance for material sciences and the pharmaceutical industry. This includes understanding the reaction coordinate that governs the nucleation process and correctly calculating the relative free energies of different polymorphs. Here, we demonstrate, for the prototypical case of urea nucleation from the melt, how one can learn such a one-dimensional reaction coordinate as a function of prespecified order parameters and use it to perform efficient biased all-atom molecular dynamics simulations. The reaction coordinate is learnt as a function of the generic thermodynamic and structural order parameters using the “spectral gap optimization of order parameters (SGOOP)” approach [Tiwary, P. and Berne, B. J. Proc. Natl. Acad. Sci. U.S.A. (2016)] and is biased using well-tempered metadynamics simulations. The reaction coordinate gives insights into the role played by different structural and thermodynamics order parameters, and the biased simulations obtain accurate relative free energies for different polymorphs. This includes an accurate prediction of the approximate pressure at which urea undergoes a phase transition and one of the metastable polymorphs becomes the most stable conformation. Here, we believe the ideas demonstrated in this work will facilitate efficient sampling of nucleation in complex, generic systems.
Research Organization:
University of Maryland, College Park, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0021009
OSTI ID:
1991192
Alternate ID(s):
OSTI ID: 1977982
Journal Information:
Journal of Physical Chemistry. B, Journal Name: Journal of Physical Chemistry. B Journal Issue: 47 Vol. 125; ISSN 1520-6106
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (81)

Development and testing of a general amber force field journal January 2004
The Amber biomolecular simulation programs journal January 2005
Metadynamics: Metadynamics
  • Barducci, Alessandro; Bonomi, Massimiliano; Parrinello, Michele
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 1, Issue 5 https://doi.org/10.1002/wcms.31
journal February 2011
Polymorphism of pharmaceutical molecules: perspectives on nucleation journal January 2010
Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling journal February 1977
VMD: Visual molecular dynamics journal February 1996
A practical guide to pharmaceutical polymorph screening & selection journal August 2014
Insight into the nucleation of urea crystals from the melt journal January 2015
PLUMED 2: New feathers for an old bird journal February 2014
Polymorph control: past, present and future journal March 2008
GROMACS: High performance molecular simulations through multi-level parallelism from laptops to supercomputers journal September 2015
A Review of Classical and Nonclassical Nucleation Theories journal October 2016
Crystal Nucleation in Liquids: Open Questions and Future Challenges in Molecular Dynamics Simulations journal May 2016
DeepIce: A Deep Neural Network Approach To Identify Ice and Water Molecules journal March 2019
SGOOP-d: Estimating Kinetic Distances and Reaction Coordinate Dimensionality for Rare Event Systems from Biased/Unbiased Simulations journal October 2021
Inferring Transition Rates of Networks from Populations in Continuous-Time Markov Processes journal October 2015
Analyzing and Driving Cluster Formation in Atomistic Simulations journal February 2017
tICA-Metadynamics: Accelerating Metadynamics by Using Kinetically Selected Collective Variables journal May 2017
Characterization of the Local Structure in Liquid Water by Various Order Parameters journal June 2015
Reinforcement Learning Based Adaptive Sampling: REAPing Rewards by Exploring Protein Conformational Landscapes journal August 2018
High-Pressure Sorption of Hydrogen in Urea journal March 2021
High-Pressure High-Temperature Structural Properties of Urea journal January 2017
Giant Anomalous Strain between High-Pressure Phases and the Mesomers of Urea journal January 2017
Microscopic Mechanism and Kinetics of Ice Formation at Complex Interfaces: Zooming in on Kaolinite journal June 2016
Conformational Polymorphism journal December 2013
P-LINCS:  A Parallel Linear Constraint Solver for Molecular Simulation journal December 2007
Entropy from Correlations in TIP4P Water journal February 2010
Raman and X-Ray Scattering Studies of High-Pressure Phases of Urea journal April 2005
Entropy of Liquid Water from Ab Initio Molecular Dynamics journal December 2011
A Time-Independent Free Energy Estimator for Metadynamics journal July 2014
H-Bond Breaking in High-Pressure Urea journal August 2009
Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms journal July 1997
Author Correction: VAMPnets for deep learning of molecular kinetics journal October 2018
Past–future information bottleneck for sampling molecular reaction coordinate simultaneously with thermodynamics and kinetics journal August 2019
Promoting transparency and reproducibility in enhanced molecular simulations journal July 2019
Numerical study of the effect of thiol–disulfide exchange in the cluster phase of β-lactoglobulin aggregation journal January 2012
Fast recovery of free energy landscapes via diffusion-map-directed molecular dynamics journal January 2014
Crystal phase transition of urea: what governs the reaction kinetics in molecular crystal phase transitions journal January 2017
Polymorphism as an additional functionality of materials for technological applications at surfaces and interfaces journal January 2019
Modified genetic algorithm to model crystal structures. I. Benzene, naphthalene and anthracene journal April 2002
Expression in Terms of Molecular Distribution Functions for the Entropy Density in an Infinite System journal December 1958
Obtaining reaction coordinates by likelihood maximization journal August 2006
Canonical sampling through velocity rescaling journal January 2007
Polymorphic transitions in single crystals: A new molecular dynamics method journal December 1981
A general set of order parameters for molecular crystals journal February 2011
Polymorph specific RMSD local order parameters for molecular crystals and nuclei: α-, β-, and γ-glycine journal October 2011
A smooth particle mesh Ewald method journal November 1995
Orientational correlations and entropy in liquid water journal September 1996
Urea and deuterium mixtures at high pressures journal March 2015
Overcoming time scale and finite size limitations to compute nucleation rates from small scale well tempered metadynamics simulations journal December 2016
Predicting reaction coordinates in energy landscapes with diffusion anisotropy journal October 2017
Nucleation mechanism of clathrate hydrates of water-soluble guest molecules journal November 2017
Reweighted autoencoded variational Bayes for enhanced sampling (RAVE) journal August 2018
Contour forward flux sampling: Sampling rare events along multiple collective variables journal January 2019
Reaction coordinates and rate constants for liquid droplet nucleation: Quantifying the interplay between driving force and memory journal October 2019
Mining of effective local order parameters for classifying crystal structures: A machine learning study journal June 2020
How to quantify and avoid finite size effects in computational studies of crystal nucleation: The case of heterogeneous ice nucleation journal January 2021
The seven deadly sins: When computing crystal nucleation rates, the devil is in the details journal July 2021
Molecular-dynamics simulations of urea nucleation from aqueous solution journal December 2014
Direct calculation of ice homogeneous nucleation rate for a molecular model of water journal August 2015
Spectral gap optimization of order parameters for sampling complex molecular systems journal February 2016
Intrinsic map dynamics exploration for uncharted effective free-energy landscapes journal June 2017
Ion dissolution mechanism and kinetics at kink sites on NaCl surfaces journal January 2018
Predicting polymorphism in molecular crystals using orientational entropy journal September 2018
Escaping free-energy minima journal September 2002
Collective variables for the study of crystallisation journal March 2021
Seeding approach to nucleation in the N V T ensemble: The case of bubble cavitation in overstretched Lennard Jones fluids journal February 2020
Well-Tempered Metadynamics: A Smoothly Converging and Tunable Free-Energy Method journal January 2008
Sampling Rare Switching Events in Biochemical Networks journal January 2005
Bond-orientational order in liquids and glasses journal July 1983
Towards a quantification of disorder in materials: Distinguishing equilibrium and glassy sphere packings journal July 2000
Crystal nucleation along an entropic pathway: Teaching liquids how to transition journal December 2018
Enhancing Entropy and Enthalpy Fluctuations to Drive Crystallization in Atomistic Simulations journal July 2017
Dynamical Nucleation Theory: A New Molecular Approach to Vapor-Liquid Nucleation journal April 1999
Principles of maximum entropy and maximum caliber in statistical physics journal July 2013
CrystalExplorer : a program for Hirshfeld surface analysis, visualization and quantitative analysis of molecular crystals journal April 2021
High-pressure polymorphism in deuterated urea journal August 2002
Enhancing Important Fluctuations: Rare Events and Metadynamics from a Conceptual Viewpoint journal May 2016
The Maximum Caliber Variational Principle for Nonequilibria journal April 2020
Role of Polymorphism in Materials Science journal August 2014
Polymorphism at High Pressures journal January 1916