Quantum Monte Carlo : some theoretical and numerical studies

In Part I, theoretical derivations for Variational Monte Carlo calculations are compared with results from a numerical calculation of He; both indicate that minimization of the ratio estimate of Evar , denoted EMC ' provides different optimal variational parameters than does minimization of the variance of E MC • Similar derivations for Diffusion Monte Carlo calculations provide a theoretical justification for empirical observations made by other workers. In Part II, Importance sampling in prolate spheroidal coordinates allows Monte Carlo calculations to be made of E for the vdW molecule var He2' using a simplifying partitioning of the Hamiltonian and both an HF-SCF and an explicitly correlated wavefunction. Improvements are suggested which would permit the extension of the computational precision to the point where an estimate of the interaction energy could be made~

Valuing and encouraging critical reflection in pre-service teacher education

This qualitative study was designed to investigate aspects related to valuing and encouraging critical reflection in pre-service teacher education. An examination of the place and function of practicum logbooks as used at Covenant Canadian Reformed Teachers' College, a small private college which offers pre-service teacher education formed the core of the research. An analysis of the practicum logbooks written by five student teachers during three different practicum placements was performed at two levels. First, a content analysis served to identify general and specific categories within the practice teaching contextas a learning experience. Secondly, in-depth intuitive and thematic analyses of the entries which related specifically to reflection as a learning experience gave rise to critical questions. Throughout the process, the five participants formed an active and involved group of co-researchers, adding their voices to the narrative of the learning experience. Variables such as personality type, learning style and self-directedness added a dimension which deepened and emiched the study. The result of the study suggests that practicum logbooks form a valuable base for valuing and encouraging critical reflection in pre-service teacher education. The results also suggest that not all students appear to be equally capable of critical reflection. Recognizing that teacher education exists as a continuum appears to support the findings that in their journey along this continuum, student teachers not only move from reflection-on-action to reflection-in-action, but also from content to process to premise reflection. An awareness of contributing factors such as personality type, degree of risk-taking, preferred learning style and self-directedness on the part of teacher-educators will serve to create a climate of trust in which student teachers can safely develop critical reflection, using practicum logbooks as one possible medium.

Quantum Monte Carlo study of electrostatic polarizabilities of H and He atoms /

The infinitesimal differential quantum Monte Carlo (QMC) technique is used to estimate electrostatic polarizabilities of the H and He atoms up to the sixth order in the electric field perturbation. All 542 different QMC estimators of the nonzero atomic polarizabilities are derived and used in order to decrease the statistical error and to obtain the maximum efficiency of the simulations. We are confident that the estimates are "exact" (free of systematic error): the two atoms are nodeless systems, hence no fixed-node error is introduced. Furthermore, we develope and use techniques which eliminate systematic error inherent when extrapolating our results to zero time-step and large stack-size. The QMC results are consistent with published accurate values obtained using perturbation methods. The precision is found to be related to the number of perturbations, varying from 2 to 4 significant digits.

Competing demands for a complex system : photosystem II repair, photoprotection and quantum yield

Photosynthesis in general is a key biological process on Earth and Photo system II (PSII) is an important component of this process. PSII is the only enzyme capable of oxidizing water and is largely responsible for the primordial build-up and present maintenance of the oxygen in the atmosphere. This thesis endeavoured to understand the link between structure and function in PSII with special focus on primary photochemistry, repair/photodamage and spectral characteristics. The deletion of the PsbU subunit ofPSII in cyanobacteria caused a decoupling of the Phycobilisomes (PBS) from PSII, likely as a result of increased rates of PSII photodamage with the PBS decoupling acting as a measure to protect PSII from further damage. Isolated fractions of spinach thylakoid membranes were utilized to characterize the heterogeneity present in the various compartments of the thylakoid membrane. It was found that the pooled PSIILHCII pigment populations were connected in the grana stack and there was also a progressive decrease in the reaction rates of primary photochemistry and antennae size of PSII as the sample origin moved from grana to stroma. The results were consistent with PSII complexes becoming damaged in the grana and being sent to the stroma for repair. The dramatic quenching of variable fluorescence and overall fluorescent yield of PSII in desiccated lichens was also studied in order to investigate the mechanism by which the quenching operated. It was determined that the source of the quenching was a novel long wavelength emitting external quencher. Point mutations to amino acids acting as ligands to chromophores of interest in PSII were utilized in cyanobacteria to determine the role of specific chromophores in energy transfer and primary photochemistry. These results indicated that the Hl14 ligated chlorophyll acts as the 'trap' chlorophyll in CP47 at low temperature and that the Q130E mutation imparts considerable changes to PSII electron transfer kinetics, essentially protecting the complex via increased non-radiative charge Photosynthesis in general is a key biological process on Earth and Photo system II (PSII) is an important component of this process. PSII is the only enzyme capable of oxidizing water and is largely responsible for the primordial build-up and present maintenance of the oxygen in the atmosphere. This thesis endeavoured to understand the link between structure and function in PSII with special focus on primary photochemistry, repair/photodamage and spectral characteristics. The deletion of the PsbU subunit ofPSII in cyanobacteria caused a decoupling of the Phycobilisomes (PBS) from PSII, likely as a result of increased rates of PSII photodamage with the PBS decoupling acting as a measure to protect PSII from further damage. Isolated fractions of spinach thylakoid membranes were utilized to characterize the heterogeneity present in the various compartments of the thylakoid membrane. It was found that the pooled PSIILHCII pigment populations were connected in the grana stack and there was also a progressive decrease in the reaction rates of primary photochemistry and antennae size of PSII as the sample origin moved from grana to stroma. The results were consistent with PSII complexes becoming damaged in the grana and being sent to the stroma for repair. The dramatic quenching of variable fluorescence and overall fluorescent yield of PSII in desiccated lichens was also studied in order to investigate the mechanism by which the quenching operated. It was determined that the source of the quenching was a novel long wavelength emitting external quencher. Point mutations to amino acids acting as ligands to chromophores of interest in PSII were utilized in cyanobacteria to determine the role of specific chromophores in energy transfer and primary photochemistry. These results indicated that the Hl14 ligated chlorophyll acts as the 'trap' chlorophyll in CP47 at low temperature and that the Q130E mutation imparts considerable changes to PSII electron transfer kinetics, essentially protecting the complex via increased non-radiative charge.

Application of Reptation Quantum Monte Carlo and Related Methods to LiH

This work investigates mathematical details and computational aspects of Metropolis-Hastings reptation quantum Monte Carlo and its variants, in addition to the Bounce method and its variants. The issues that concern us include the sensitivity of these algorithms' target densities to the position of the trial electron density along the reptile, time-reversal symmetry of the propagators, and the length of the reptile. We calculate the ground-state energy and one-electron properties of LiH at its equilibrium geometry for all these algorithms. The importance sampling is performed with a single-determinant large Slater-type orbitals (STO) basis set. The computer codes were written to exploit the efficiencies engineered into modern, high-performance computing software. Using the Bounce method in the calculation of non-energy-related properties, those represented by operators that do not commute with the Hamiltonian, is a novel work. We found that the unmodified Bounce gives good ground state energy and very good one-electron properties. We attribute this to its favourable time-reversal symmetry in its target density's Green's functions. Breaking this symmetry gives poorer results. Use of a short reptile in the Bounce method does not alter the quality of the results. This suggests that in future applications one can use a shorter reptile to cut down the computational time dramatically.

Reflection Reframed: The Process of Photography as Strategy for Teachers' Reflective Practice

Teacher reflective practice is described as an effective method for engaging teachers in improving their own professional learning. Yet, some teachers do not understand how to effectively engage in the reflective processes, or prefer not to formalize the process through writing a reflective journal as taught in most teacher education programs. Developing reflective skills through the process of photography was investigated in this study as a strategy to allow enhanced teacher reflection for professional and personal growth. The process of photography is understood as the mindful act of photographing rather than focusing on the final product-the image. For this study, 3 practicing educators engaged in photographic exercises as a reflective process. Data sources included transcribed interviews, participant journal reflections, and sketchbook artifacts, as well as the researcher's personal journal notes. Findings indicated that, through the photographic process, (a) teacher participants developed new and individual strategies for professional leaming; and (b) teacher participants experienced shifts in the way they conceptualized their personal worldviews.

(A) BODIPY as a versatile fluorophore (B) Synthesis of PNAs via Staudinger reaction

(A) In recent years, 4,4-difluoro-4-bora-3a,4a-diaza-s-indacene (BODIPY) fluorophores have attracted considerable interest due to their unique photochemical properties. However detailed studies on the stability of BODIPY and analogues under acidic and basic conditions have been lacking. Thus the stability of a series of BODIPY analogues in acidic (di- and trichloroacetic acid) and basic (aqueous ammonium hydroxide) conditions was investigated using 11B NMR spectroscopy. Among the analogues tested, 4,4-diphenyl BODIPY was the most stable under the conditions used in the experiments. It was found that reaction of 4,4-dimethoxy BODIPY with dichloroacetic acid gave mixed anhydride 4,4-bis(dichloroacetoxy) BODIPY in good yields. Treatment of the latter mixed anhydride with alcohols such as methanol and ethanol in the presence of a base afforded corresponding borate esters, whereas treatment with 1,2-diols such as ethylene glycol and catechol in the presence of a base gave corresponding cyclic borate esters. Furthermore treatment of 4,4-difluoro-8-methyl-BODIPY with secondary amines in dihalomethane resulted in carbon–carbon bond formation at the meso-methyl position of BODIPY via Mannich-type reactions. The resulting modified BODIPY fluorophores possess high fluorescent quantum yields. Five BODIPY analogues bearing potential ion-binding moieties were synthesized via this Mannich-type reaction. Among these, the BODIPY bearing an aza-18-crown-5 tether was found to be selective towards copper (II) ion, resulting in a large blue shift in absorption and sharp fluorescent quenching, whereas aza-15-crown-4 analogue was selected towards fluoride ion, leading to effective florescent quenching and blue shift. (B) Peptide nucleic acids (PNA), as mimics of natural nucleic acids, have been widely applied in molecular biology and biotechnology. Currently, the preparation of PNA oligomers is commonly achieved by a coupling reaction between carboxyl and amino groups in the presence of an activator. In this thesis attempts were made towards the synthesis of PNA through the Staudinger ligation reactions between C-terminal diphenylphosphinomethanethiol thioesters and N-terminal α-azido PNA building blocks.

Some Travelling Wave Solutions of KdV-Burgers Equation

In this paper we study the extended Tanh method to obtain some exact solutions of KdV-Burgers equation. The principle of the Tanh method has been explained and then apply to the nonlinear KdV- Burgers evolution equation. A finnite power series in tanh is considered as an ansatz and the symbolic computational system is used to obtain solution of that nonlinear evolution equation. The obtained solutions are all travelling wave solutions.

Ties From My Father: Personal Narrative as a Tool for Engaging Teenagers and Social Service Practitioners

The purpose of this project is to provide social service practitioners with tools and perspectives to engage young people in a process of developing and connecting with their own personal narratives, and storytelling with others. This project extensively reviews the literature to explore Why Story, What Is Story, Future Directions of Story, and Challenges of Story. Anchoring this exploration is Freire’s (1970/2000) intentional uncovering and decoding. Taking a phenomenological approach, I draw additionally on Brookfield’s (1995) critical reflection; Delgado (1989) and McLaren (1998) for subversive narrative; and Robin (2008) and Sadik (2008) for digital storytelling. The recommendations provided within this project include a practical model built upon Baxter Magolda and King’s (2004) process towards self-authorship for engaging an exercise of storytelling that is accessible to practitioners and young people alike. A personal narrative that aims to help connect lived experience with the theoretical content underscores this project. I call for social service practitioners to engage their own personal narratives in an inclusive and purposeful storytelling method that enhances their ability to help the young people they serve develop and share their stories.

Using Poetry, Story, and Reflection to Understand Professional Self After Personal Loss

This research investigated professional identity transformation after personal loss. Through autoethnographic methods, I explore how my personal experience of my sister’s breast cancer and death affected my identity as a diabetes educator in the health culture. I discover a transformation of a professional who focuses on evidence-based medicine to a professional who values connection, therapeutic alliance, and mindfulness with patients and self in the diabetes education encounter. Using a holistic perspective on transformational learning, I integrate the poem “Wild Geese” to a collection of written narratives to connect my personal loss experience to my professional life. By unpacking the generated stories and using poetry, I conduct a process of critical and self-reflection to discover how my identity as a health professional has transformed and what makes meaning in my role as a diabetes educator in the health culture. I consider concepts of a conscious self, social relations and language and discover themes of knowledge exchange, food, and empathy as forms of language expression. These language expressions are not present in my professional life as I focus on rational, logical facts of evidence-based medicine and standardized education methods. Through this reflexive process, I hope to understand how my professional practice has changed, where I place an importance on connection, therapeutic alliance, and mindfulness. I move away from always “doing” in my professional life to focus on my state of “being” in my professional world. Rather than knowledge acquisition as the only factor in professional development, this study contributes to an understanding of additional qualities health professionals may consider that focus on the patient education encounter.

Responses to Reflection in Two Invertebrate Species

The present thesis investigates the responses to reflection in both the crayfish Procambarus clarkii and the fruit fly Drosophila melanogaster. Responses to reflection in crayfish depend on social status and the current work suggests that learning and memory consolidation are required for these responses to be altered. Crayfish were treated to either massed or spaced training fights prior to reflection testing. The results show that subordinate crayfish treated to spaced training display a response typical of subordinate crayfish but subordinate crayfish treated to massed training exhibit a response typical of dominant crayfish. Fruit flies are shown to be attracted to reflection and responses to reflection are described here for the first time. Responses in fruit flies are shown to be dependent on social status. The frequency of behaviours were altered in isolated flies but not socialized flies. The addition of pheromones cVA and 7,11-HD were used to investigate how the addition of chemical cues altered responses to reflection in fruit flies. Socialized fruit flies treated with cVA exhibited an increase in the frequency of behaviours on both mirrored and clear glass walls, while isolated flies exhibited a decrease. Socialized flies treated with 7,11-HD spent more time on mirrored walls compared to glass walls, whereas the frequency of all behaviours were decreased in isolated flies treated with 7,11-HD.

Investigation of Frustrated Quasi-One-Dimensional Quantum Spin-Chain Materials

Copper arsenite CuAs2O4 and Copper antimonite CuSb2O4 are S=1/2 (Cu2+ 3d9 electronic configuration) quasi-one-dimensional quantum spin-chain compounds. Both compounds crystallize with tetragonal structures containing edge sharing CuO6 octahedra chains which experience Jahn-Teller distortions. The basal planes of the octahedra link together to form CuO2 ribbon-chains which harbor Cu2+ spin-chains. These compounds are magnetically frustrated with competing nearest-neighbour and next-nearest-neighbour intrachain spin-exchange interactions. Despite the similarities between CuAs2O4 and CuSb2O4, they exhibit very different magnetic properties. In this thesis work, the physical properties of CuAs2O4 and CuSb2O4 are investigated using a variety of experimental techniques which include x-ray diffraction, magnetic susceptibility measurements, heat capacity measurements, Raman spectroscopy, electron paramagnetic resonance, neutron diffraction, and dielectric capacitance measurements. CuAs2O4 exhibits dominant ferromagnetic nearest-neighbour and weaker antiferromagnetic next-nearest-neighbour intrachain spin-exchange interactions. The ratio of the intrachain interactions amounts to Jnn/Jnnn = -4.1. CuAs2O4 was found to order with a ferromagnetic groundstate below TC = 7.4 K. An extensive physical characterization of the magnetic and structural properties of CuAs2O4 was carried out. Under the effect of hydrostatic pressure, CuAs2O4 was found to undergo a structural phase transition at 9 GPa to a new spin-chain structure. The structural phase transition is accompanied by a severe alteration of the magnetic properties. The high-pressure phase exhibits dominant ferromagnetic next-nearest-neighbour spin-exchange interactions and weaker ferromagnetic nearest-neighbour interactions. The ratio of the intrachain interactions in the high-pressure phase was found to be Jnn/Jnnn = 0.3. Structural and magnetic characterizations under hydrostatic pressure are reported and a relationship between the structural and magnetic properties was established. CuSb2O4 orders antiferromagnetically below TN = 1.8 K with an incommensurate helicoidal magnetic structure. CuSb2O4 is characterized by ferromagnetic nearest-neighbour and antiferromagnetic next-nearest-neighbour spin-exchange interactions with Jnn/Jnnn = -1.8. A (H, T) magnetic phase diagram was constructed using low-temperature magnetization and heat capacity measurements. The resulting phase diagram contains multiple phases as a consequence of the strong intrachain magnetic frustration. Indications of ferroelectricity were observed in the incommensurate antiferromagnetic phase.

Receipt from T. Baxter

Receipt from T. Baxter regarding payment for strong wire work, May 4, 1876.

Graded literature readers

UANL

Descriptive analyses of piano works for the use of teachers, players, and music clubs by Edward Baxter Perry

UANL