Free energy calculations for crystal structure prediction studies
File(s)
Author(s)
Konstantinopoulos, Stefanos
Type
Thesis
Abstract
The accurate prediction of the crystal structure(s) that an organic molecule can be arranged into remains an unsolved theoretical problem of significant importance to industries delivering products in crystalline forms. From a thermodynamic standpoint, polymorphs can be identified as minima in the free energy landscape, motivating the development of crystal structure prediction (CSP) methods. CSP computational methods aim to determine the most stable crystal structure and other metastable forms, with the correct order of stability. Despite recent advances, most state-of-the-art CSP methods rely on lattice energy instead of Gibbs free energy to rank plausible crystal structures. Methods for evaluating the vibrational free energy of predicted crystals either employ computationally expensive atomistic DFT-d calculations or utilise force fields that adopt a rigid body treatment, neglecting intramolecular contributions.
In this thesis, we expand the applicability of the free energy calculation method proposed by Vasileiadis [1] to organic compounds that exhibit molecular flexibility. The proposed workflow for computing the Helmholtz free energy of molecular crystals, involves lattice energy minimisation using an atomistic force field and free energy calculation employing our in-house CrystalDynamics algorithm. The free energy calculation method is based on the harmonic approximation of lattice dynamics theory. The analytical derivations for the electrostatic expressions contribute to the development of an efficient yet accurate energy model applicable to a large number of structures generated in CSP studies. We apply the proposed free energy workflow to refine the CSP landscapes of three molecules of progressively increasing size and flexibility, as well as a set of experimental crystal structures of polymorphic flexible molecules with well-characterised enantiotropic transition temperatures. The workflow presented in this thesis can be utilised as a final refinement stage for CSP-generated landscapes of flexible molecules, bridging the gap between static lattice energies computed at 0 K and temperature-dependent free energies.
In this thesis, we expand the applicability of the free energy calculation method proposed by Vasileiadis [1] to organic compounds that exhibit molecular flexibility. The proposed workflow for computing the Helmholtz free energy of molecular crystals, involves lattice energy minimisation using an atomistic force field and free energy calculation employing our in-house CrystalDynamics algorithm. The free energy calculation method is based on the harmonic approximation of lattice dynamics theory. The analytical derivations for the electrostatic expressions contribute to the development of an efficient yet accurate energy model applicable to a large number of structures generated in CSP studies. We apply the proposed free energy workflow to refine the CSP landscapes of three molecules of progressively increasing size and flexibility, as well as a set of experimental crystal structures of polymorphic flexible molecules with well-characterised enantiotropic transition temperatures. The workflow presented in this thesis can be utilised as a final refinement stage for CSP-generated landscapes of flexible molecules, bridging the gap between static lattice energies computed at 0 K and temperature-dependent free energies.
Version
Open Access
Date Issued
2023-12
Date Awarded
2024-11
Copyright Statement
Creative Commons Attribution NonCommercial NoDerivatives Licence
Advisor
Adjiman, Claire
Pantelides, Constantinos
Sponsor
Eli Lilly and Company
Engineering and Physical Sciences Research Council
Grant Number
EP/T005556/1
Publisher Department
Chemical Engineering
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)