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Title: Crystal Structure Prediction for Benzene Using Basin-Hopping Global Optimization

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom, Max Planck Institute for Polymer Research, 55128 Mainz, Germany
  2. Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom, Department of Chemistry, University of California, Berkeley, California 94609, United States
  3. Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom, Department of Chemistry, University of California, Berkeley, California 94609, United States, Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94609, United States
  4. Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom

Organic molecules can be stable in distinct crystalline forms, known as polymorphs, which have significant consequences for industrial applications. Here, we predict the polymorphs of crystalline benzene computationally for an accurate anisotropic model parametrized to reproduce electronic structure calculations. We adapt the basin-hopping global optimization procedure to the case of crystalline unit cells, simultaneously optimizing the molecular coordinates and unit cell parameters to locate multiple low-energy structures from a variety of crystal space groups. We rapidly locate all the well-established experimental polymorphs of benzene, each of which corresponds to a single local energy minimum of the model. Our results show that basin-hopping can be both an efficient and effective tool for polymorphic crystal structure prediction, requiring no a priori experimental knowledge of cell parameters or symmetry.

Research Organization:
Max Planck Inst. for Polymer Research, Mainz (Germany); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0019323; AC02-05CH11231
OSTI ID:
1779549
Alternate ID(s):
OSTI ID: 1781780; OSTI ID: 1814153
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Journal Name: Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory Vol. 125 Journal Issue: 17; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (62)

High-Pressure–High-Temperature Study of Benzene: Refined Crystal Structure and New Phase Diagram up to 8 GPa and 923 K journal March 2018
On the limited memory BFGS method for large scale optimization journal August 1989
Crystal structure prediction of small organic molecules: a second blind test journal July 2002
A third blind test of crystal structure prediction journal September 2005
Crystal Structure of Benzene II at 25 Kilobars journal September 1969
A redetermination and group-refinement of the molecular packing of benzene II at 25 kilobars journal June 1971
Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids journal June 1971
Neural networks for local structure detection in polymorphic systems journal October 2013
Designing hierarchical molecular complexity: icosahedra of addressable icosahedra journal March 2018
High pressure solid phases of benzene. I. Raman and x‐ray studies of C 6 H 6 at 294 K up to 25 GPa journal October 1988
Ab initio random structure searching journal January 2011
A survey of the potential energy surface for the (benzene)13 cluster journal January 2011
Updating quasi-Newton matrices with limited storage journal September 1980
Crystal Structure Prediction via Basin-Hopping Global Optimization Employing Tiny Periodic Simulation Cells, with Application to Water–Ice journal April 2019
Exploring polymorphism of benzene and naphthalene with free energy based enhanced molecular dynamics journal August 2016
Phase transitions and chemical transformations of benzene up to 550 °C and 30 GPa journal November 1993
Structure and free energy of complex thermodynamic systems journal October 1988
Association CH···π and No van der Waals Contacts at the Lowest Limits of Crystalline Benzene I and II Stability Regions journal August 2010
Exploration and Optimization in Crystal Structure Prediction: Combining Basin Hopping with Quasi-Random Sampling journal February 2021
A Major Advance in Crystal Structure Prediction journal March 2008
Exploring Energy Landscapes: Metrics, Pathways, and Normal-Mode Analysis for Rigid-Body Molecules journal August 2013
Energy landscapes of model glasses. II. Results for constant pressure journal March 2003
Temperature-Accelerated Method for Exploring Polymorphism in Molecular Crystals Based on Free Energy journal June 2011
On the allowed values for the triclinic unit-cell angles journal November 2010
Crystals of binary Lennard-Jones solids journal October 2001
Ab initio determination of the crystalline benzene lattice energy to sub-kilojoule/mole accuracy journal August 2014
Intermolecular forces from asymptotically corrected density functional description of monomers journal May 2002
Report on the sixth blind test of organic crystal structure prediction methods
  • Reilly, Anthony M.; Cooper, Richard I.; Adjiman, Claire S.
  • Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials, Vol. 72, Issue 4 https://doi.org/10.1107/S2052520616007447
journal August 2016
The energy landscape as a unifying theme in molecular science journal December 2004
XtalOpt: An open-source evolutionary algorithm for crystal structure prediction journal February 2011
High pressure crystal phases of benzene probed by infrared spectroscopy journal August 2001
A First Principles Development of a General Anisotropic Potential for Polycyclic Aromatic Hydrocarbons journal February 2010
A test of crystal structure prediction of small organic molecules journal August 2000
Exploring Polymorphism: The Case of Benzene journal June 2005
Hypothetical Crystal Structures of Benzene at 0 and 30 kbar journal June 1998
Stochastic Neural Network Approach for Learning High-Dimensional Free Energy Surfaces journal October 2017
Exploring energy landscapes: from molecular to mesoscopic systems journal January 2014
A New Era for ab initio Molecular Crystal Lattice Energy Prediction journal October 2014
A Local Rigid Body Framework for Global Optimization of Biomolecules journal August 2012
Phase Diagram of Benzene to 35 kbar journal July 1971
Dispersion Energy from Density-Functional Theory Description of Monomers journal July 2003
FINDSYM : program for identifying the space-group symmetry of a crystal journal January 2005
Crystal Structure and Prediction journal April 2015
Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms journal July 1997
Constrained evolutionary algorithm for structure prediction of molecular crystals: methodology and applications journal May 2012
GAtor: A First-Principles Genetic Algorithm for Molecular Crystal Structure Prediction journal February 2018
Benzene under High Pressure: a Story of Molecular Crystals Transforming to Saturated Networks, with a Possible Intermediate Metallic Phase journal June 2011
Static and lattice vibrational energy differences between polymorphs journal January 2015
Free energy basin-hopping journal April 2015
Polymorph Impact on the Bioavailability and Stability of Poorly Soluble Drugs journal October 2015
Triggering dynamics of the high-pressure benzene amorphization journal December 2006
Monte Carlo-minimization approach to the multiple-minima problem in protein folding. journal October 1987
Energy landscapes for machine learning journal January 2017
Die Berechnung optischer und elektrostatischer Gitterpotentiale journal January 1921
Modeling Polymorphic Molecular Crystals with Electronic Structure Theory journal March 2016
Polymorphism of Syndiotactic Polystyrene Crystals from Multiscale Simulations journal May 2018
Mercury 4.0 : from visualization to analysis, design and prediction journal February 2020
Optimal Alignment of Structures for Finite and Periodic Systems journal September 2017
Global Optimization of Clusters, Crystals, and Biomolecules journal August 1999
Simulations of rigid bodies in an angle-axis framework journal January 2009
High-pressure and high-temperature equation of state and phase diagram of solid benzene journal September 2005
Intermolecular potentials based on symmetry-adapted perturbation theory with dispersion energies from time-dependent density-functional calculations journal December 2005

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