posted on 2022-12-19, 09:55authored byHannah McTague
In this thesis the nucleation kinetics in three pharmaceutical cocrystal systems has
been investigated through induction time experiments, identification of the nucleating
solid phase and analysis of the nucleation data by the classical nucleation theory
(CNT). An effort is made to elucidate cocrystal nucleation behaviour in general and
find learnings on CNT in relation to multicomponent systems. Nucleation kinetics in
general are also discussed and a comparison of the nucleation in the binary systems is
presented. The nucleation kinetics of cocrystals have never been investigated before
in terms of determining nucleation parameters such as interfacial energy and the pre exponential factor. It is interesting to note as a first observation that the
multicomponent crystal nucleation was not significantly different to single component
crystallisation in terms of driving forces required for nucleation, interfacial energy and
pre-exponential factors.
For the theophylline:salicylic acid 1:1 (THP:SA) cocrystal system - induction times
have been determined in chloroform at different supersaturations at 10 ℃.
Approximately 40-80 repetition experiments in 20 mL vials were performed at each
condition. Nucleation times, extracted from the median induction times by accounting
for a nucleus growth time, have been used to determine the interfacial energy and the
pre-exponential factor within the classical nucleation theory. The nucleation behaviour
of the cocrystal has been compared with the corresponding behaviour of the pure
compounds. The results of driving force required to reach an equal induction time can
be interpreted differently depending on how the supersaturation driving force is
characterised for the cocrystal. For a pure system the definition of the supersaturation
is straightforward, however, for the cocrystal it can be defined per heterodimer
assembly or per reactant molecule. Using the prior definition, results show that to
reach equal nucleation time the cocrystal requires a higher driving force. Using the
latter definition of driving force, the cocrystal is no longer more difficult to nucleate
than the pure compounds. Defining the driving force per reactant molecule appears to
be a more appropriate definition because it gives the same dimensionality for the pure
and the cocrystal systems. It is important to note that how the supersaturation is
defined does not affect the interfacial energy since the molecular volume changes
accordingly by which the exponential term in the CNT remains unchanged. However,
the slope of the CNT graph does change and along with that the experimentally
determined pre-exponential factor, thus leading to changes in the order of the difficulty
of nucleation. The cocrystal is found to have an interfacial energy in between the
respective values for the pure compounds. Similar trends in the value of pre exponential factors are observed from theoretical expressions of volume-diffusion and
surface-integration-controlled nucleation respectively. Pure theophylline (THP II) is
easier to nucleate than pure salicylic acid (SA), despite the latter having a smaller
molecular size, higher solubility, and expected to form dimers already in the solution.
The nucleation kinetics in the theophylline:glutaric acid 1:1 cocrystal system
(THP:GLU) in chloroform was also investigated under the same conditions as the
THP:SA system. Isolation and characterisation of the nucleating phase reveals that β glutaric acid (β-GLU) is the solid phase initially nucleating from the stoichiometric
mixture, despite the supersaturation with respect to the cocrystal being much higher.
The cocrystal then appears to nucleate on the surface of the β-glutaric acid crystals,
and the transformation from the pure metastable crystals into the thermodynamically
stable cocrystal takes place. The kinetics of nucleation of β-GLU in a binary
chloroform solution and in a ternary stoichiometric solution of GLU and THP, is
determined and compared with previous data for nucleation of THP II. The results of
eutectic point determination reveal that the THP in the ternary solution increases the
β-GLU solubility and greatly facilitates the nucleation of β-GLU. Evaluated within
CNT, it is found that compared to the pure system, there is a significant increase in the
pre-exponential factor of β-GLU nucleating from the ternary solution which relates to
the higher concentration of GLU. β-GLU nucleation from a pure binary solution
requires a clearly higher driving force to nucleate at the same time as THP II from a
pure solution due to a higher interfacial energy.
Nucleation in the p-hydroxybenzoic acid:glutaric acid 1:1 cocrystal (PHBA:GLU)
system has been investigated in stoichiometric and non-stoichiometric acetonitrile
solutions by induction time experiments at 20 °C. Utilising the ternary phase diagram,
the supersaturated non-stoichiometric solutions were created with compositions along
the eutectic phase boundary lines. In all cases the PHBA:GLU cocrystal was the
nucleating phase, even though the non-stoichiometric solutions were also
supersaturated with respect to the pure solid phases. The nucleation of the cocrystal
from the ternary solution behaves similarly to the more difficult to nucleate pure
compound – GLU. The difference in nucleation difficulty of the cocrystal from
stoichiometric and non-stoichiometric solutions is captured by differences in the
interfacial energy. The relation between the pre-exponential factors for the different
systems calculated according to theoretical expressions for volume-diffusion and
surface-integration nucleation mechanisms correlate reasonably well with the
experimentally found relation apart from the pure GLU system. As seen for the
THP:SA system, the PHBA:GLU cocrystal interfacial energy is also between that of
the two individual compounds.