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Full-Text Articles in Physical Sciences and Mathematics

A Theoretical Study Of Synchronous Proton Transfer In (Hf)N, (H2O) N, And (Hcl) N Where N = 3, 4, 5, Johnny Yang May 2021

A Theoretical Study Of Synchronous Proton Transfer In (Hf)N, (H2O) N, And (Hcl) N Where N = 3, 4, 5, Johnny Yang

Honors Theses

For (HF)n, (H2O)n, and (HCl)n (n = 3 − 5), we have rigorously characterized the structures for the minima and transition states for synchronous proton transfer (SPT) with the CCSD(T) method and aug-cc-pVTZ basis set. The electronic barrier heights (∆E) associated with these transition states have also been computed with the explicitly correlated CCSD(T)-F12 method and the aug-cc-pVQZ-F12 basis set (abbreviated aQZ-F12). (HCl)n (n = 3 − 5) SPT transition states have not been previously identified to the best of our knowledge, and they have been found …


Characterization Of Mechanical Responses Of Helical Antenna For Satellite Communications, Scott Chumley May 2021

Characterization Of Mechanical Responses Of Helical Antenna For Satellite Communications, Scott Chumley

Honors Theses

The purpose of this work was to identify and analyze the vibrational modes of a helical structure to model the vibrational characteristics of an L-band helical antenna for satellite communications. This project focused on the vibrational modes between 1 and 50 Hz. Using COMSOL Multiphysics finite element modeling of helices were performed to predict mode shapes and frequencies to compare with both continuous wave (CW) and impulsive measurements. In the initial phase of the experimental work, five helical samples were constructed and evaluated. In the second phase of the study, one sample was chosen for more detailed quantitative measurements. In …


Curved Spacetime In The Causal Set Approach To Quantum Gravity, Ayush Dhital May 2021

Curved Spacetime In The Causal Set Approach To Quantum Gravity, Ayush Dhital

Honors Theses

Causal Set theory is an approach to quantum gravity. In this approach, the spacetime continuum is assumed to be discrete rather than continuous. The discrete points in a causal set can be seen as a continuum spacetime if they can be embedded in a manifold such that the causal structure is preserved. In this regard, a manifold can be constructed by embedding a causal set preserving causal information between the neighboring points. In this thesis, some of the fundamental properties of causal sets are discussed and the curvature and dimension information of Minkowski, de Sitter, and Anti-de Sitter spaces is …


Exploring Manifoldlike Causal Sets And Their Dimensions, Santosh Bhandari Apr 2021

Exploring Manifoldlike Causal Sets And Their Dimensions, Santosh Bhandari

Honors Theses

Causal Set Theory is an approach to quantum gravity that tries to replace the continuum spacetime structure of general relativity with the spacetime that has the property of discreteness and causality. From the standpoint of causal set theory, our spacetime is made up of discrete points that are causally related to one another. A causal set is said to be manifoldlike if it can be faithfully embedded in a Lorentzian manifold. In this thesis, some of the fundamental properties of causal sets are discussed. The first chapter is devoted to the historical background of quantum gravity with a discussion of …