TiO₂ typically crystallizes into three polymorphs: brookite, rutile, and anatase. The phase selection problem in TiO₂ is the lack of understanding what conditions cause amorphous TiO₂ to crystallize into one of its three polymorphs during an annealing process. It has been recently shown that phase selection in TiO₂ is highly...
Fluorescent proteins have emerged as an essential toolset for bioimaging, creating a demand for engineering proteins with new and improved fluorescent properties. In this thesis, I explore the atomistic structure of REX-GECO1, a newly engineered protein biosensor that has unique optical properties. Since this protein has no available crystal structure,...
Carbon nanotube (CNT) photodiodes have potential to convert light into electrical current with high efficiency. However, previous experiments have revealed photocurrent quantum yield (PCQY) well below 100%. In this work, we show that axial electric field increases the PCQY of CNT photodiodes. In optimal conditions our data suggest PCQY >...
Cell migration is fundamental for physiological processes such as immune re-sponses, wound healing and development. It is also a critical characteristic of metastatic cancer cells. An extensive amount of studies have focused on 2D sub-strates in order to understand the mechanism of cancer metastasis. However, much less is known about...
Thermodynamic potentials are energies that can describe a thermodynamic system in terms of different mathematically independent variables. Some of these potentials describe particular thermodynamic systems or processes in particularly convenient ways. In this dissertation, I discuss the different ways that students and experts reason about quantities in thermodynamics within the...
Motivated by the Navier-Stokes equations, which are a set of unsolved equations related to fluid motion in R^3, we explored the incompressibility condition and the Neumann boundary problem. After exploring, we noticed that using iterated Riesz transforms of the boundary data could be used to get information about the velocity...
In 1877 John Kerr described an experiment that demonstrated a quadratic change in refractive index in a plate glass placed in a strong external electric field. This results in a nonlinear relationship between the average electric polarization within the materials and the intensity of the applied electric field. This opened...
Since the advent of graphene, research on 2D materials has exploded. Countless experiments have uncovered novel properties that emerge when different layered crystals are cleaved down to only a few atomic layers in thickness. The most popular of these non-graphene 2D materials is MoS2, a semiconductor which has been of...
Exciton polaritons are quasiparticles composed of a quantum superposition of matter and light states that arises from the coupling of a standing wave photon and an exciton. This research has two primary objectives: to design and fabricate a Fabry-Perot microcavity system in which to produce exciton polaritons; and to show...
Terahertz (THz) spectroscopy is a great tool not only to study fundamental physical processes such as many-body Coulomb interaction but also to develop ultrafast electronic devices. More specifically, intense THz fields interacting with semiconductors have exhibited strong nonlinear effect involving extreme carrier dynamics. In this experiment, intense THz radiation was...