Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.497764
Title: New statistical mechanical simulation methods for the calculation of surface properties
Author: Fox, Hannah
Awarding Body: University of London
Current Institution: University College London (University of London)
Date of Award: 2008
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Abstract:
I present two new methods for the calculation of surface properties. Firstly, a method of thermodynamic integration to calculate surface free energies. A strain is applied to a unit cell of the bulk material, that opens up a vacuum gap and creates two surfaces. A parameter s describes this process, from s = 0 (the bulk material) to s = si (large vacuum gap). The difference in free energy between these two systems is then calculated by the integration of the stress on the unit cell over s. I use this general theory to find the surface free energy of the titanium dioxide (110) surface using density functional theory. The second part of the thesis gives a general transition state theory method for the calculation of the desorption rate of a molecule from a surface, at any coverage and temperature. This approach depends on the density of molecules as a function of the distance from the surface, and I show that this can be found from the potential of mean force. This is especially useful at low temperatures, where experiments are conducted but brute force simulation is computationally unfeasible. I use this theory to calculate the desorption rate of water from the (001) surface of magnesium oxide at 100 1200K and 0 2/3 coverage, with classical potentials. An important outcome of these calculations is that the frequency prefactor (from the Polanyi-Wigner equation) is dependent on temperature.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.497764  DOI: Not available
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