A flotation model has been proposed that is applicable in a turbulent environment. It is the first turbulent model that takes into account hydrodynamics of the flotation cell as well as all relevant surface forces (van der Waals, electrostatic, and hydrophobic) by use of the Extended DLVO theory. The model includes probabilities for attachment, detachment, and froth recovery as well as a collision frequency. A review of the effects fluids have on the flotation process has also been given. This includes collision frequencies, attachment and detachment energies, and how the energies of the turbulent system relate to them. Flotation experiments have been conducted to verify this model. Model predictions were comparable to experimental results with similar trends. Simulations were also run that show trends and values seen in industrial flotation systems. These simulations show the many uses of the model and how it can benefit the industries that use flotation. / Ph. D.

The process of milling drugs to obtain samples with a desirable particle size range has been widely used in the pharmaceutical industry, especially for the production of drugs for inhalation. However by subjecting materials to milling techniques surfaces may become thermodynamically activated which may in turn lead to formation of amorphous material. Polymorphic conversions have also been noted after milling of certain materials. Salt and cocrystal formation is a good way of enhancing the properties of an API but little or no work has been published which investigates the stability of these entities when subjected to milling. Different milling techniques (ball and jet) and temperatures (ambient and cryogenic) were used to investigate the milling behaviour of polymorphs, salts and cocrystals. All materials were analysed by XRPD and DSC to investigate any physical changes, i.e. changes in melting point and by inverse gas chromatography (IGC) to investigate whether any changes in the surface energetics occurred as a result of milling. Another aim of this thesis was to see if it was possible to predict the milling behaviour of polymorphs by calculating the attachment energies of the different crystal facets using Materials Studio 4.0. These results were compared to the IGC data to see if the predicted surface changes had occurred. The data collected in this study showed that different milling techniques can have a different effect on the same material. For example ball milling at ambient temperature and jet micronisation of the SFZ tosylate salt caused a notable increase in the melting point of the material whereas ball milling at cryogenic temperatures did not cause this to happen. The IGC data collected for this form also showed a contrast between cryomilling and the other two techniques. The study also showed that the formation of salts and cocrystals does not necessarily offer any increased stability in terms of physical properties or surface energetics. Changes in melting point were observed for the SFZ tosylate salt and the IMC:Benzamide cocrystal. Changes in the specific surface energies were also observed indicating that the nature of the surfaces was also changing. The materials which appeared to be affected the least were the two stable polymorphs, gamma IMC and SFZ III. The computational approach used has many limitations. The software does not allow for conversion to the amorphous form or polymorphic conversions. Such conversions were seen to occur, particularly for the metastable polymorphs used, meaning that this computational approach may only be suitable for stable polymorphs.

Kvantkemiska studier av reaktiviteten hos guldnanopartiklar Au3-Au11 och Au13 mot O- centrerade molekylradikaler OH , OOH , OCH3   och H2O undersöks. Olika molekylära ytegenskaper tas med i beräkningen, elektrostatiska ytpotentialen, den genomsnittliga lokala joniseringsenergin, electron attachment energy och spinndensiteten (VS(r), IS(r), TS(r), ES(r) och S(r)). De erhållna resultaten gäller slutna och öppna skalsystem. Där system med slutna skal bildas från växelverkan mellan en guldklusterradikal och en fri radikal, och system med öppna skal bildas från växelverkan mellan ett jämnt antal guldatomer med en fri radikal. För system med slutna skal Aux-R (där x = 3, 5, 7, 9 eller 11 och R är en O-centrerad radikal) finns det en övergripande trend av bindningsenergin gentemot ES(r), vilket återspeglar elektrofilictiten hos guldnanopartiklar. Multivariata modeller visar vidare hur de olika parametrarna korrelerar gentemot varandra för system med slutna skal.För strukturerna Aux-R (där x=3-11) medl ägst bindningsenergi, dvs. inklusive både slutna och öppna skalsystem, är den tydligaste trenden bindningsenergi vs minimum i ES(r) och parametern TS(r). Vid jämförelse av resultaten av interaktionerna med de fria radikalerna med H2O är trenden alltid tydligast för H2O. I linje med tidigare studier finns det även en korrelation av bindningsenergierna med VS,max och ES,min för H2O. Slutligen sträcker sig trenden med bindningsenergi vs ES,min vidare till systemet som innehåller den icke-plana Au13-strukturen. Denna studie visar kopplingen mellan reaktiviteten hos guldnanopartiklar mot fria radikaler till den lokala ES(r), samtidigt som bidraget från andra ytegenskaper visas. Detta kan vara av betydelse för fortsatta studier kring naturen av interaktioner av guldnanopartiklar. / The nature of gold nanoparticle interactions towards molecular radicals are investigated. Quantum chemical studies of the reactivity of gold nanoparticles Au3-Au11 and Au13 towards O-centered molecular radicals OH , OOH , OCH3   and H2O are performed. Different molecular surface properties are taken into account; the surface electrostatic potential, average local ionization energy, electron attachment energy and spin density (VS(r), IS(r), TS(r), ES(r) and S(r)). The obtained results concern closed and open shell systems. Where closed shell systems are formed from the interaction of a radical gold cluster and a free radical, and open shell systems are formed from the interaction of an even number of gold atoms with a free radical. For closed shell systems Aux-R (where x = 3, 5, 7, 9 or 11 and R is an O-centered radical) there is an overall trend of the binding energy vs the local electron attachment energy, reflecting the electrophilicity of the gold nanoparticles. Multivariate plots further show how the different parameters correlate together for closed shell systems. Looking at the lowest energy structures Aux-R (where x = 3-11), i.e. including closed and open shell systems, the clearest trend is of binding energy vs minima in the local electron attachment energy ES,min and the TS(r) parameter. When comparing the results of the interactions with the free radicals with H2O, the trend is always clearest for H2O. Concurring with previous trends, there is a correlation of the binding energies with VS,max and ES,min for H2O. Lastly, the trend of Binding energy vs ES,min further extends to systems containing the non-planar Au13 structure. This study extends the reactivity of gold nanoparticles towards free radicals to the local electron attachment energy, while showing the contribution of other surface properties. This might be of importance for further studies concerning the nature of gold nanoparticle interactions.

The process of milling drugs to obtain samples with a desirable particle size range has been widely used in the pharmaceutical industry, especially for the production of drugs for inhalation. However by subjecting materials to milling techniques surfaces may become thermodynamically activated which may in turn lead to formation of amorphous material. Polymorphic conversions have also been noted after milling of certain materials. Salt and cocrystal formation is a good way of enhancing the properties of an API but little or no work has been published which investigates the stability of these entities when subjected to milling. Different milling techniques (ball and jet) and temperatures (ambient and cryogenic) were used to investigate the milling behaviour of polymorphs, salts and cocrystals. All materials were analysed by XRPD and DSC to investigate any physical changes, i.e. changes in melting point and by inverse gas chromatography (IGC) to investigate whether any changes in the surface energetics occurred as a result of milling. Another aim of this thesis was to see if it was possible to predict the milling behaviour of polymorphs by calculating the attachment energies of the different crystal facets using Materials Studio 4.0. These results were compared to the IGC data to see if the predicted surface changes had occurred. The data collected in this study showed that different milling techniques can have a different effect on the same material. For example ball milling at ambient temperature and jet micronisation of the SFZ tosylate salt caused a notable increase in the melting point of the material whereas ball milling at cryogenic temperatures did not cause this to happen. The IGC data collected for this form also showed a contrast between cryomilling and the other two techniques. The study also showed that the formation of salts and cocrystals does not necessarily offer any increased stability in terms of physical properties or surface energetics. Changes in melting point were observed for the SFZ tosylate salt and the IMC:Benzamide cocrystal. Changes in the specific surface energies were also observed indicating that the nature of the surfaces was also changing. The materials which appeared to be affected the least were the two stable polymorphs, gamma IMC and SFZ III. The computational approach used has many limitations. The software does not allow for conversion to the amorphous form or polymorphic conversions. Such conversions were seen to occur, particularly for the metastable polymorphs used, meaning that this computational approach may only be suitable for stable polymorphs.