This dissertation is focused on thermal transport at nanometer scale point and line constrictions and in nanowires with sawtooth surface roughness. To better understand thermal transport at a point contact such as that at the tip-sample junction of a scanning probe microscope, a Non Equilibrium Molecular Dynamics (NEMD) method is employed to calculate the temperature distribution and thermal resistance of a nanoscale point constriction formed between two silicon substrates. The simulation reveals surface reconstruction at the two free silicon surfaces and at the constriction. The radius of the heated zone in the cold substrate approaches a limit of about 20 times the average nearest-neighbor distance of boron doping atoms when the constriction radius (a) is reduced below the inter-dopant distance. The phonon mean free path at the constriction is suppressed by diffuse phonon-surface scattering and phonon-impurity scattering. The MD thermal resistance is close to the ballistic resistance when a is larger than 1 nm, suggesting that surface reconstruction does not reduce the phonon transmission coefficient significantly. When a is 0.5 nm and comparable to the dominant phonon wavelength, however, the NEMD result is considerably lower than the calculated ballistic resistance because bulk phonon dispersion and bulk potential are not longer accurate. The MD thermal resistance of the constriction increases slightly with increasing doping concentration due to the increase in the diffusive resistance. The NEMD method is further employed to calculate the temperature distribution and thermal resistance at nanoscale line constrictions formed between two silicone substrates. Similar to the nano point constriction, the thermal resistance at the nano line constriction is dominated by the ballistic resistance for constriction width in the range of 1 nm to 12 nm. An additional question that this dissertation seeks to answer is whether one can engineer the surface roughness on a nanowire to facilitate phonon backscattering so as to reduce the thermal conductivity below the diffuse surface limit. Monte Carlo simulation is used to show that phonon backscattering can occur at sawtooth surfaces of a silicon nanowire, suppressing the thermal conductivity below the diffuse surface limit. Asymmetric sawtooth nanowire surfaces can further cause phonon rectification, making the axial thermal conductance of the nanowire direction dependent. The phonon backscattering and rectification effects can be employed to enhance the thermoelectric figure of merit of nanowires. / text

In this thesis, we investigate the structural and dynamical properties of nano-confined liquids by means of a new AFM-based technique that has the ability to measure normal force, lateral force, and the distance between the AFM tip and the sample simultaneously. Thanks to the mechanical stability of our apparatus, a judicious choice, and a new mechanical drift analysis, we are able to measure the tip-sample distance with sub-angstrom resolution, all the way down to the last liquid layer.

Novel Studies on the Formation and Chemical Reactivity of Compound Clusters and Their Precursors in the Gas and Liquid Phase James A. Bradshaw 139 Pages Directed by Dr. Robert L. Whetten Presented are four separate and unique studies on molecular and nanoscale systems: Atmospheric hydration and aggregation of NaCl clusters, highly water-soluble aurous-thiolate oligomers, water-soluble gold clusters from aurous-thiolate oligomer precursors, and gold iodide clusters. Adsorption of water on cationic and anionic sodium chloride clusters is investigated to elucidate active sites of molecular interaction as well as primary aggregate formation kinetics. Considered an exceptionally abundant atmospheric species, experiments are conducted to further quantify gas phase chemistry and hydration/solvation of alkali halides. Currently the most soluble of all known gold-thiolates, para-mercaptobenzoic acid-based (pMBA) aurous-thiolate oligomers are investigated and physical and chemical properties quantified. Solubility, structural conformation, and poly-dispersity of higher homologs are observed with the goal of further applications in clusters research, medical and biomedical, and industry. Gold thiolate clusters, synthesized using pMBA-based oligomers, are investigated through reductive formation in solution. UV-VIS and UV-VIS-NIR spectroscopy is undertaken to assign structures based on predictions of the HOMO-LUMO gap and other electronic transitions. Gold iodide is investigated in relation to the common thiolate-halide analogy. Synthesis and characterization of a solid precursor as well as anion and cation cluster formation is presented as part of an ongoing collaboration.

Thesis (Ph.D.)--University of Wollongong, 2007. / Typescript. Includes bibliographical references: leaf 206-217.

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The resonance frequency of a silicon nitride (SiN) nano-electromechanical systems (MEMS/NEMS) can be measured precisely due to their large quality factor that is associated to low thermomechanical fluctuations. While these properties enable the fabrication of high performance sensors, their use will eventually raise questions regarding their long-term stability, notably for calibration purposes. The long-term frequency stability and aging of SiN are less studied than the short-term fluctuations such as thermomechanical noise. Long-term aging studies exist for quartz clocks as well as MEMS silicon clocks and accelerometers, but not for SiN resonators with high quality factors. Thus, in this work we conduct the aging study of SiN membranes fabricated by our lab, by constantly tracking changes of the resonance frequency of the device over a long period. The evolution of the frequency drift is tracked, by optical interrogation, continuously for 135 days with a digital phase locked loop (PLL). Our device is placed in a cell under high vacuum to suppress air damping on our resonating membrane. Furthermore, due to its high sensitivity to temperature changes, our silicon nitride resonator and vacuum chamber are placed in an air bath providing a stable temperature (within 0.5 K over 135 days in the present case). To compensate further the frequency drifts induced by temperature changes, a multimeter measures the resistance of a calibrated thermistor placed inside the vacuum environment. The measured frequency drift for the aging periods of 135 days was of 300 parts per million (ppm) and was consistent with previously reported double logarithmic models for quartz oscillators. The initial stage of negative frequency drift, in our aging data, is consistent with the behaviour expected from the desorption of water due to the transition from ambient air environment to high vacuum. We review models explaining how water adsorption/desorption impacts our membrane's frequency by (1) inducing chemical reaction stresses (most important effect), (2) through the contribution of the water surface tension stress (non-negligible effect), and (3) through mass loading from water molecules (weakest effect). After this initial negative trend, the membrane frequency drift inverts and increases almost linearly, in a fashion consistent with loss of mass from desorption of other chemical species. To identify these chemical species, X-ray photoelectron spectroscopy measurements were conducted on a reference membrane stored in an ambient setting and on our membrane placed under vacuum during our aging studies. The aged membrane, compared to its reference counterpart, contained substantially less alkaline ion contaminants (i.e., sodium, calcium and potassium), most likely due to desorption of these species during the aging measurement, and to the increase in adsorption occurring on the reference membrane concurrently. We therefore hypothesize that trapped negative charges, which is a typical phenomenon within dielectric materials such as SiN, might progressively attract positive ion contaminants over time when the device is exposed to ambient air.

This dissertation develops uncertainty quantification methodologies for modeling, response analysis and optimization of diverse dynamical systems. Two distinct application platforms are considered pertaining to engineering dynamics and precision medicine. First, the recently developed Wiener path integral (WPI) technique for determining, accurately and in a computationally efficient manner, the stochastic response of diverse dynamical systems is employed for solving a high-dimensional, nonlinear system of stochastic differential equations governing the dynamics of a representative model of electrostatically coupled micromechanical oscillators. Compared to alternative modeling and solution treatments in the literature, the current development exhibits the following novelties: a) typically adopted linear, or higher-order polynomial, approximations of the nonlinear electrostatic forces are circumvented; and b) stochastic modeling is employed, for the first time, by considering a random excitation component representing the effect of diverse noise sources on the system dynamics. Further, the WPI technique is enhanced and extended based on a Bayesian compressive sampling (CS) treatment. Specifically, sparse expansions for the system response joint PDF are utilized. Next, exploiting the localization capabilities of the WPI technique for direct evaluation of specific PDF points leads to an underdetermined linear system of equations for the expansion coefficients. Furthermore, relying on a Bayesian CS solution formulation yields a posterior distribution for the expansion coefficient vector. In this regard, a significant advantage of the herein-developed methodology relates to the fact that the uncertainty of the response PDF estimates obtained by the WPI technique is quantified. Also, an adaptive scheme is proposed based on the quantified uncertainty of the estimates for the optimal selection of PDF sample points. This yields considerably fewer boundary value problems to be solved as part of the WPI technique, and thus, the associated computational cost is significantly reduced. Second, modeling and analysis of the physiological mechanism of dynamic cerebral autoregulation (DCA) is pursued based on the concept of diffusion maps. Specifically, a state-space description of DCA dynamics is considered based on arterial blood pressure (ABP), cerebral blood flow velocity (CBFV), and their time derivatives. Next, an eigenvalue analysis of the Markov matrix of a random walk on a graph over the dataset domain yields a low-dimensional representation of the intrinsic dynamics. Further dimension reduction is made possible by accounting only for the two most significant eigenvalues. The value of their ratio indicates whether the underlying system is governed by active or hypoactive dynamics, indicating healthy or impaired DCA function, respectively. The reliability of the technique is assessed by considering healthy individuals and patients with unilateral carotid artery stenosis or occlusion. It is shown that the proposed ratio of eigenvalues can be used as a reliable and robust biomarker for assessing how active the intrinsic dynamics of the autoregulation is and for indicating healthy versus impaired DCA function. Further, an alternative joint time-frequency analysis methodology based on generalized harmonic wavelets is utilized for assessing DCA performance in patients with preeclampsia within one week postpartum, which is associated with an increased risk for postpartum maternal cerebrovascular complications. The results are compared with normotensive postpartum individuals and healthy non-pregnant female volunteers and suggest a faster, but less effective response of the cerebral autoregulatory mechanism in the first week postpartum, regardless of preeclampsia diagnosis.

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Nanoelectromechanical systems (NEMS) play an important role in advancing high-precision sensing and high-speed computational applications due to their exceptional sensitivity and reduced size. This thesis explores the dynamic behaviors and vibrational properties of NEMS, focusing on coupled systems of molybdenum disulfide (MoS2) membrane and silicon nitride (SiNx) drumhead, and the effects of gas pressure on an MoS2 membrane resonator. Employing finite element simulations alongside theoretical modeling, the study thoroughly analyzes the coupling dynamics between MoS2 and SiNx resonators and investigates the vibrational responses of MoS2 membranes under pressure. Key achievements include the identification of vibrational modes, calculation of coupling constants, and comprehensive understanding of pressurized MoS2 membrane resonator behavior. These insights pave the way for enhancing NEMS applications in sensitive detection and resonant frequency modulation, significantly contributing to the field of nanotechnology and the development of advanced NEMS devices.

Major challenges in maintaining quality and reliability in today’s microelectronics devices come from the ever increasing level of integration in the device fabrication, as well as the high level of current densities that are carried through the microchip during operation. In order to have a framework for design and reliability assessment, it is imperative to develop a predictive capability for the thermal response of micro-electronic components. A computationally efficient and accurate multi-scale transient thermal methodology was developed using a combination of two different approaches: “Progressive Zoom-in” method and “Proper Orthogonal Decomposition (POD)” technique. The proposed technique has the capability of handling several decades of length scale from tens of millimeter at “package” level to several nanometers at “interconnects” level at a considerably lower computational cost, while maintaining satisfactory accuracy. This ability also applies for time scales from seconds to microseconds corresponding to various transient thermal events. The proposed method also provides the ability to rapidly predict thermal responses under different power input patterns, based on only a few representative detailed simulations, without compromising the desired spatial and temporal resolutions. It is demonstrated that utilizing the proposed model, the computational time is reduced by at least two orders of magnitude at every step of modeling. Additionally, a novel experimental platform was developed to evaluate rapid transient Joule heating in embedded nanoscale metallic films representing buried on-chip interconnects that are not directly accessible. Utilizing the state-of-the-art sub-micron embedded resistance thermometry the effect of rapid transient power input profiles with different amplitudes and frequencies were studied. It is also demonstrated that a spatial resolution of 6 µm and thermal time constant of below 1 µs can be achieved using this technique. Ultimately, the size effects on the thermal and material properties of embedded metallic films were studied. A state-of-the-art technique to extract thermal conductivity of embedded nanoscale interconnects was developed. The proposed structure is the first device that has enabled the conductivity measurement of embedded metallic films on a substrate. It accounts for the effect of the substrate and interface without compromising the sensitivity of the device to the thermal conductivity of the metallic film. Another advantage of the proposed technique is that it can be integrated within the structure and be used for measurements of embedded or buried structures such as nanoscale on chip interconnects, without requiring extensive micro-fabrication. The dependence of the thermal conductivity on temperature was also investigated. The experimentally measured values for thermal conductivity and its dependence on temperature agree well with previous studies on free-standing nanoscale metallic bridges.