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Identifier 000390000
Title Theory and simulations of silicon nanocomposite systems
Alternative Title Θεωρία και προσομοιώσεις νανοσύνθετων συστημάτων πυριτίου
Author Κλεοβούλου, Κωνσταντίνος
Thesis advisor Ζώτος, Ξενοφών
Reviewer Κελίρης, Παντελής
Φλυτζάνης, Νικόλαος
Παπανικολάου, Νικόλαος
Ρεμεδιάκης, Ιωάννης
Κοπιδάκης, Γεώργιος
Abstract This thesis focuses on the study of silicon nanocomposite systems using theory and computer simulations. The major part is dedicated on the study of silicon nanocrystals (Si-NC) embedded in amorphous silicon dioxide (a-SiO2) with great attention given towards the mechanical properties and the spatial arrangement of the system. Such analysis is crucial not only for the stability of the system but also for unveiling the origins of the optoelectronic properties. The latter are strongly correlated with the mechanical response of the system to spatial and structural changes. A multiscale approach for sensing applications is developed for simulating the early stage dry oxidation of Si(100) cantilever surface that will ultimately provide a frame-work for science-based optimization of cantilever sensors. The multiscale formulation couples Monte Carlo stochastic simulations employed for capturing the oxidation process and continuum level Finite Element simulations for calculating the cantilever deflection. Continuous-space Monte Carlo simulations using the empirical potential approach are employed. For the interactions, the Tersoff empirical potential parametrized to describe SiO2 systems is used. This potential describes well the elemental Si properties, silica polymorphs, and phase transitions between them, as well as the structure and energetics of a-SiO2. To further advocate the use of the potential for the current application and ensure the validity of the results the elastic properties of the system and its bulk components are calculated and compared with previous theoretical and experimental measurements. The stress state of Si-NC/a-SiO2 is investigated and its nature and origins are unraveled and explained. This is achieved by generating detailed stress maps and by calculating the stress profile as a function of the NC size. For normal oxide matrix densities, the average stress in the NC core is found to be compressive in excellent agreement with experimental measurements. It drastically declines at the interface, despite the existence of several highly strained geometries. Tensile conditions prevail in NC embedded in densified silica matrices. The NC-NC interplay at various interparticle distances is examined. The decrease of the interparticle distance introduces structural and chemical deformation on the matrix. This is attributed on the force field exerted on the matrix by the surrounding NC, which amplifies considerably as they approach. Nevertheless, It is shown that the system is stable against segregation and phase separation even for close interparticle distances. The ordering of 3D Si-NC arrangements is investigated by comparing a conventional cubic and a hexagonal arrangement. For this, a novel computational technique for generating hexagonal arrangements whilst minimizing the computational effort is introduced. This study, driven by the structural characteristics and the energetics of the system in thermodynamic equilibrium does not show preferential ordering in any of the two arrangements. The mechanical response of the system to the NC size and density variation is studied. The problem of local rigidity is investigated. By analyzing the elastic (bulk) modulus field into atomic contributions, it is showed that it is highly inhomogeneous. It consists of a hard region in the interior of the nanocrystals, and of “superhard” and “supersoft” regions on the nanocrystal periphery. Overall, the nanocrystal bulk modulus is significantly enhanced compared to the bulk, and its variation with size accurately follows a power-law dependence on the average bond length. The bulk modulus of the oxide matrix and of the interface region is nearly constant with size. The average optical (homopolar) gap is directly linked to the elastic and bond-length variations. The MC results for the system’s mechanical response against the increase of NC density are in good match with the Self Consistent micromechanics model predictions denoting the great importance of the NC-NC interplay. The early dry oxidation of Si(100) is simulated using a 2x1 dimer reconstructed c-Si slab. Tensile surface stresses are generated due to oxidation causing the cantilever to bent. Penetration of stress is limited to the first four layers. The oxygen absorption reaches a plateau for concentrations higher than 20%. The cantilever deflection is calculated by the finite element method using the surface stress calculated by the Monte Carlo simulations as a boundary (surface traction) condition. It is anticipated that this multiscale formulation will ultimately provide a framework for science-based optimization of cantilever sensors with improved stability, durability, operating range, fictionalization and sensitivity.
Language English
Subject Cantilever sensors
Monte Carlo
Nanocrystals
Ανιχνευτές προβολού
Μόντε Κάρλο
Νανοκρύσταλλοι
Πυρίτιο
Issue date 2014-12-22
Collection   School/Department--School of Sciences and Engineering--Department of Physics--Doctoral theses
  Type of Work--Doctoral theses
Permanent Link https://elocus.lib.uoc.gr//dlib/e/d/f/metadata-dlib-1423130740-145161-20288.tkl Bookmark and Share
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