Costas Pantelides |
Prediction of crystal structure and polymorphism: a systems engineering approachProf. Constantinos Pantelides, Imperial College London
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Abstract: |
The structure of the crystals formed by an organic
molecule often has a significant effect on properties such as density,
colour, solubility, rate of dissolution and melting point. Consequently,
it is of major interest to many sectors of the process industries (e.g.
pharmaceuticals, pigments) as it influences both the product
characteristics (e.g. the bioavailability of a drug or the colour of a
pigment) and the ease of processing during production. Many organic
molecules exhibit polymorphism, i.e. they form two or more crystal
structures which differ only slightly in free energy and can even coexist
under the same thermodynamic conditions. Polymorphism is of great
practical importance as properties can vary significantly between
polymorphs of the same molecule. A well-publicized example of the adverse
effects of the existence of unknown polymorphs is the case of Ritonavir (NorvirTM)
that was launched by Abbott Laboratories in 1996; two years later, a more
stable form with significantly different dissolution properties was
discovered, causing expensive delays in bringing the new drug to the
market. This paper presents a comprehensive methodology for the prediction
of crystal structures using only the atomic connectivity of the molecule
under consideration. The method developed is based on the global
minimisation of the molar enthalpy of the crystal. The modelling of the
electrostatic interactions is accomplished through the use of a set of
distributed charges that are optimally selected and positioned based on
results of quantum mechanical calculations. A two-phase stochastic/deterministic
global optimisation method is used for the identification of the local
minima of the lattice enthalpy surface. The method uses low discrepancy
sequences to generate a number of initial guesses in the space of the
optimization variables. It then initiates local optimisation calculations
with a sequential quadratic programming algorithm. A parallelized
implementation of the algorithm allows minimisations from many thousands
of initial guesses to be carried out in reasonable time. Both rigid and
flexible molecules are handled. In the latter case, intramolecular energy
is computed as a function of key internal degrees of freedom (e.g. torsion
angles) by fitting a Hermite interpolant on values computed using quantum
mechanical calculations. The algorithm has been applied successfully to
the prediction of the crystal structures of a large set of compounds. |
Biography: |
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