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Model Unification: A Systematic Approach For The Cluster Expansion, Kolten Barfuss Apr 2026

Model Unification: A Systematic Approach For The Cluster Expansion, Kolten Barfuss

Theses and Dissertations

A systematic approach for model unification of cluster expansion models is developed and demonstrated. The method builds on previous work with the Manifold Boundary Approximation Method (MBAM) to identify supremal models. The work is motivated by the exercise of unifying cluster expansion models – characterized by Π matrices – for two binary alloys that share one atomic species to form a model for the ternary alloy. The result is the Supremal Π Algorithm, a systematic unification algorithm that relies on an MBAM-informed understanding of models and on the singular value decomposition. The algorithm yields ΠΛ, a Π matrix for the …


The Artificial Maintenance Of Relationship Satisfaction: Romantic Ai Companion Usage Sustains Emerging Adults' Human Romantic Relationship Satisfaction While Eroding Relationship Stability, Rebekah M. Hakala Apr 2026

The Artificial Maintenance Of Relationship Satisfaction: Romantic Ai Companion Usage Sustains Emerging Adults' Human Romantic Relationship Satisfaction While Eroding Relationship Stability, Rebekah M. Hakala

Theses and Dissertations

As artificial intelligence becomes increasingly sophisticated, romantic AI companions--AI systems designed to simulate romantic, emotional, or sexual relationships--have emerged as a novel relational phenomenon. Nearly one in four emerging adults now engage with romantic AI companions, yet little is known about how this usage affects their romantic human relationships. Drawing on Social Exchange Theory and the Investment Model of Commitment, and employing structural equation modeling, this thesis uses data from 2,431 emerging adults in romantic relationships to examine whether romantic AI companion usage influences relationship satisfaction and relationship stability among emerging adults in the United States (ages 18-30), and whether …


Melody Of Wrath: A Retelling Of The Pied Piper, India Raye Sorensen Apr 2026

Melody Of Wrath: A Retelling Of The Pied Piper, India Raye Sorensen

Theses and Dissertations

Melody of Wrath is a young adult fairy tale retelling of the Pied Piper legend centered on fifteen-year-old antihero Magnus. Driven by grief and rage after the massacre of his people, Magnus wields music as dangerous magic to summon a plague of rats and exact revenge on a corrupt city. The novel follows his morally complex journey from vengeance through compromise to a final test inside a transformative mountain, where he confronts the cost of retribution and the uncertain possibility of redemption. Drawing on folktale scholarship, archetypal theory, and literary antiheroes such as Hamlet and Edmond Dantès, this project uses …


Integrating Traditional Samoan Music With School-Aged Children In Fostering Culturally Appropriate Behaviors Within The Framework Of Fa'afaletui And Multimodal Interpretative Phenomenological Analysis, Stormi Rachelle Winscot Apr 2026

Integrating Traditional Samoan Music With School-Aged Children In Fostering Culturally Appropriate Behaviors Within The Framework Of Fa'afaletui And Multimodal Interpretative Phenomenological Analysis, Stormi Rachelle Winscot

Theses and Dissertations

Fa’aSamoa, the cultural framework shaping Samoan values, relationships, and daily life, deeply informs educational experiences in American Samoa. Music, as both cultural expression and communal practice, offers a powerful lens through which student engagement can be understood. This exploratory study employed multimodal interpretative phenomenological analysis (MMIPA), guided by the Fa’afaletui framework, to examine how Samoan and Pacific Islander students responded in embodied ways to traditional Samoan, culturally adapted Western, and other Western (folk, classical, pop) music in classroom settings. Drawing on focus group interviews and systematic observations, the study centered students’ movement, vocal expression, rhythmic participation, and peer interaction as …


Shame On You! The Socialization Of Self-Conscious Emotions In Early Childhood, Ashton K. Allen Apr 2026

Shame On You! The Socialization Of Self-Conscious Emotions In Early Childhood, Ashton K. Allen

Theses and Dissertations

This study examined how parents and children discuss self-conscious emotions across early childhood. Self-conscious emotions such as shame, guilt, embarrassment, awe, and pride play a critical role in children's social and emotional development. Although prior research has demonstrated links between parent and child emotion talk about basic emotions such as happiness, anger, disgust, fear, sadness, less is known about how parents and children talk about self-conscious emotions. Participants for the current study were 247 parent-child dyads. The dyads completed a wordless storybook task designed to elicit discussion of five self-conscious emotions (shame, guilt, embarrassment, awe, and pride) annually across three …


Utah Secondary English Language Arts Teachers And The Use Of Body Diverse Young Adult Literature, Katy Johnson Bigham Apr 2026

Utah Secondary English Language Arts Teachers And The Use Of Body Diverse Young Adult Literature, Katy Johnson Bigham

Theses and Dissertations

Representation in young adult (YA) literature has expanded significantly in recent years, but body size diversity - specifically the inclusion of fat protagonists - is still minimal and understudied in secondary English language arts (ELA) classrooms. Research shows that diverse literature plays a crucial role in helping students see themselves and other reflected in the texts they read, as shown in the metaphor of literature as "windows, mirrors, and sliding glass doors" (Bishop, 1990). So how does this apply to the representation of body size diversity in the ELA classroom? This study explores how secondary ELA teachers in Utah perceive …


Metonymy In Sound: A Neurolinguistic Study Of Al-Mullalah Soundscape Using Fnirs, Rand Naser Muflih Apr 2026

Metonymy In Sound: A Neurolinguistic Study Of Al-Mullalah Soundscape Using Fnirs, Rand Naser Muflih

Theses and Dissertations

This thesis offers an interdisciplinary exploration of the semantic and neurolinguistic development of Al-Mullalah, a traditional Palestinian "coded" song type. By combining metonymy, soundscape analysis, and functional neuroimaging, the study traces the evolution of Al-Mullalah from a localized, covert means of communication tied to historical struggle to a globally recognized auditory symbol of collective resilience. The research uses a multi-method approach. First, soundscape analysis demonstrates how Al-Mullalah functions within Palestinian aural counterpublics, strengthening communal memory through various uses. Second, a qualitative analysis of semantics and themes examines how the text's metonymic structures change over time. Lastly, a Functional Near-Infrared Spectroscopy …


Silicon Dioxide Multimode Interferometer Spectrometers, James Harkness Apr 2026

Silicon Dioxide Multimode Interferometer Spectrometers, James Harkness

Theses and Dissertations

Multi-mode interferometer (MMI) spectrometers are a type of reconstructive micro-spectrometer based on imaging light propagation patterns in MMI waveguides. This dissertation describes how the MMI spectrometer was implemented for the first time using a silicon dioxide core. This approach showed a 6 dB improvement in SNR over SU-8 core devices. To implement the silicon dioxide MMI spectrometer, a fabrication technique for selectively roughening the surface of the waveguide needed to be developed. SU-8, a photosensitive polymer, was etched with oxygen plasma to create grass-like nanostructures. SU-8 grass can then be used as a transfer mask to plasma etch a surface. …


Subversive Speculative Theology In Women's Stories From The Mormon Home Literature Movement, Rachel Meibos Helps Apr 2026

Subversive Speculative Theology In Women's Stories From The Mormon Home Literature Movement, Rachel Meibos Helps

Theses and Dissertations

In the 1910s, Mormon women used sentimental speculative fiction published in official Relief Society Magazine to engage theological questions often reserved for male ecclesiastical authority. This paper examines three short stories: Edna Coray's "A Quitter–Almost." (1918), Lucy May Green's "A Whiff of Ether" (1919), and Laura Jenkins's "Beyond the Portals" (1916), each of which depicts a woman's encounter with the spirit world at the moment of death or near-death. Drawing on the Mormon Home Literature movement and the broader tradition of sentimental fiction as political and moral discourse, I argue that these authors used narrative to fill gaps in official …


An Examination Of K-12 Administrators' Philosophical Views On Music Education, Kathryn Ann Smith Apr 2026

An Examination Of K-12 Administrators' Philosophical Views On Music Education, Kathryn Ann Smith

Theses and Dissertations

K-12 administrators' beliefs about the purpose and value of music education have resulted in inconsistent support for students' access to music education in public schools. This study sought to examine administrators' philosophical views about music education and factors that may influence those beliefs, contributing the first known application of a praxial framework in assessing administrator belief systems. I developed a survey incorporating Song's (2025) Philosophical Beliefs Scale (Ph.B. Scale) to measure utilitarian, aesthetic, and praxial philosophical perspectives, along with key demographic and contextual characteristics. Participants (N = 65) were recruited via e-mail and K-12 administrator Facebook groups and represented a …


Toward A Horizonal "I": The Infinite Subject In William Wordsworth's The Prelude, Gabriella Lee Schwartz Apr 2026

Toward A Horizonal "I": The Infinite Subject In William Wordsworth's The Prelude, Gabriella Lee Schwartz

Theses and Dissertations

In an 1805 letter to Sir George Beaumont describing his autobiographical poem The Prelude, William Wordsworth remarked that it was "a thing unprecedented in literary history that a man should talk so much about himself." Since then, critics have only affirmed Wordsworth's reputation as a poet, if not the poet, of selfhood and consciousness. Perhaps the most renowned scholarship on Wordsworthian subjectivity was produced by the so-called "Yale School" of the late twentieth century, as J. Hillis Miller, Harold Bloom, Geoffrey Hartman, and Paul de Man all published influential works on the topic. The latter two staked out stances on …


Asymptotic Sensitivity And Adjoint Methods For Equation Discovery With Open-Source Implementation, Nathan Schill Apr 2026

Asymptotic Sensitivity And Adjoint Methods For Equation Discovery With Open-Source Implementation, Nathan Schill

Theses and Dissertations

The "on-the-fly" (OTF) method is a gradient-based approach to equation discovery. It makes use of (potentially limited) observational data, a data assimilation technique such as continuous data assimilation (also called nudging), and an error metric. From these it computes an asymptotic approximation of a simulated system's error sensitivity with respect to unknown parameters and utilizes any gradient-based optimization algorithm to perform parameter updates. These parameter updates may be done online or offline, and the model may be of a precisely specified form or simply a library of possible terms with potentially nonlinear parameters. We have applied the adjoint method to …


Stack-Based Exploit Development Techniques In Mips Architectures, Justin Applegate Apr 2026

Stack-Based Exploit Development Techniques In Mips Architectures, Justin Applegate

Theses and Dissertations

Memory corruption vulnerabilities in binary executables represent a serious threat to software security, particularly in embedded and IoT (Internet of Things) devices that commonly use the MIPS architecture. While exploit development techniques for x86 are well-documented in academic literature, little systematic work exists on how those techniques translate to other architectures such as MIPS. This research addresses that gap by evaluating thirteen stack-based exploit development techniques and subtechniques, originally designed in the context of the x86 architecture, for their applicability to MIPS architectures. For each technique, vulnerable C code was written and compiled into both x86 and a set of …


Conditioned Synthesis Of Spectra Using Matrix Decomposition For Spectral Library Augmentation, Anna Catherine Rollans Apr 2026

Conditioned Synthesis Of Spectra Using Matrix Decomposition For Spectral Library Augmentation, Anna Catherine Rollans

Theses and Dissertations

In hyperspectral imaging, identification and detection tasks are often done by comparing the spectrum of an unknown material to labeled spectra in a spectral library. However, it is intractable to populate a spectral library with measurements of all possible materials in all possible conditions. We propose modeling the weights resulting from matrix decomposition as functions of material condition(s) to generate synthetic spectra at unmeasured conditions to augment spectral libraries. Matrix decompositions considered here include principal component analysis (PCA), non-negative matrix factorization (NMF), and independent component analysis (ICA).We demonstrate this method by generating (1) synthetic long-wave infrared (LWIR) emissivity spectra of …


Evaluation Of Polyester Polymer Concrete Overlays On Bridge Decks In Utah, Landon Moore Apr 2026

Evaluation Of Polyester Polymer Concrete Overlays On Bridge Decks In Utah, Landon Moore

Theses and Dissertations

The objective of this research was to evaluate the condition of polyester polymer concrete (PPC) overlays placed on both new and in-service concrete bridge decks in Utah. The procedures for this research included a desktop review of 80 bridges with PPC deck overlays; scanning of nine decks using rapid automated sounding and advanced deck imaging technologies to document delamination, cracking, spalling, and patching; and additional testing of two decks. This research involved evaluations of PPC overlays that were 2 to 8 years old and bridges that were 4 to 40 years old at the time of testing. The primary distresses …


Implementing The Safe System Approach For Speed Management In Utah, Kezia Isabelle Tripp Apr 2026

Implementing The Safe System Approach For Speed Management In Utah, Kezia Isabelle Tripp

Theses and Dissertations

Speed management is central to reducing fatal and serious injury crashes. The Safe System Approach, an emerging roadway safety paradigm in the United States, recognizes human error and vulnerability and focuses on minimizing crash severity through coordinated policy, design, and operational strategies. This thesis examines how Safe System Approach principles can be applied to speed management, with a focus on identifying practical countermeasures and implementation strategies relevant to the Utah Department of Transportation (UDOT). A compendium of practice was conducted to evaluate speed management countermeasures and document how cities and state Departments of Transportation are implementing Safe System Approach-based strategies. …


Sonic Booms From Rockets: Measurements And Modeling, Mark Charles Anderson Apr 2026

Sonic Booms From Rockets: Measurements And Modeling, Mark Charles Anderson

Theses and Dissertations

Rocket sonic booms are produced when launch vehicles or boosters travel faster than the local speed of sound in the atmosphere, generating systems of conical shock waves. The purpose of this dissertation is to perform high-fidelity measurements of rocket sonic booms and to explain the physics behind the unique phenomena observed. After a thorough literature review on sonic booms produced during spaceflight operations, Part I of this dissertation deals with measurement and analysis challenges. One challenge is reducing contaminating noise effects on sonic boom perception metrics, addressed using a low-pass filtering method tied to the noise floor. A second challenge …


A Holistic Assessment Of Osteopathic Medical Student Well-Being And Self-Perceived Levels Of Happiness, Stress, And Satisfaction With Life, Brittany A. Mitchell Apr 2026

A Holistic Assessment Of Osteopathic Medical Student Well-Being And Self-Perceived Levels Of Happiness, Stress, And Satisfaction With Life, Brittany A. Mitchell

Theses and Dissertations

The purpose of this quantitative study was to assess the well-being of medical students and identify the primary factors influencing their well-being. In this manuscript-style dissertation, the empirical article assesses the well-being of medical students through the dimensions of wellness and investigates the significance of differences between each dimension and self-perceived levels of happiness, stress, and satisfaction with life. The practitioner article provides recommendations to practitioners to further support the well-being of osteopathic medical students. The sample for this study was medical students at an osteopathic medical school in the Philadelphia region. Data was collected using seven validated survey instruments: …


Physics-Based And Data-Driven Low-Order Modeling Of Centrifugal Compressors, Chase Oliphant Apr 2026

Physics-Based And Data-Driven Low-Order Modeling Of Centrifugal Compressors, Chase Oliphant

Theses and Dissertations

Centrifugal compressors serve as critical components across many applications, yet their design and performance prediction present significant challenges. While computational fluid dynamics provides high-fidelity predictions of compressor behavior, its prohibitive computational cost renders it impractical for preliminary design phases where rapid exploration of the geometric and operating space is essential. Conversely, existing low-order models have enabled efficient performance estimation but suffer from limited accuracy and poor interpretability, particularly when applied to novel geometries or off-design operating conditions. This dissertation addresses these limitations through three complementary contributions that bridge the gap between high-fidelity CFD and preliminary design tools. The first contribution …


Biophysical Insights Into A Cryptic, Hydrophobic Binding Site On Pcna, Alexis Dispensa Apr 2026

Biophysical Insights Into A Cryptic, Hydrophobic Binding Site On Pcna, Alexis Dispensa

Theses and Dissertations

Proteins are dynamic molecules whose functional landscapes extend beyond static structural representations. Transient cryptic pockets (buried cavities that emerge through protein motion) represent underexplored targets for allosteric regulation and drug discovery. General anesthetics are small, lipophilic, weakly polar molecules that are well suited to partition into such hydrophobic sites. In this work, environment-sensitive fluorescence, photoaffinity labeling, mass spectrometry, mutational analysis, and microsecond molecular dynamics simulations were integrated to discover and characterize a cryptic, highly apolar binding site within the hydrophobic core of human proliferating cell nuclear antigen (PCNA), a central scaffold in DNA replication and repair. Using the solvatochromic fluorescent …


Family Processes As A Protective Factor Between Adverse Childhood Experiences And Adolescent Delinquency, Tessa Johnson Apr 2026

Family Processes As A Protective Factor Between Adverse Childhood Experiences And Adolescent Delinquency, Tessa Johnson

Theses and Dissertations

This study explores whether family processes (i.e., parental attachment and parental discipline/monitoring) serve as protective factors between the relationship of adverse childhood experiences (ACEs) and adolescent delinquency. Prior research has established an association between ACEs and many negative life outcomes, including delinquent behavior, while strong parental attachment and parental discipline/monitoring are linked to lower rates of delinquency. However, the interplay of these three factors has been understudied. Drawing on data from the 2024 Florida Youth Substance Abuse Survey (FYSAS) (N=22,016), this study examines the relationship between ACEs, family processes, and delinquency using negative binomial regression models. Results indicate that parental …


Space-Time Coded Pcm/Fm For Aeronautical Mobile Telemetry, Zachary B. Hilton Apr 2026

Space-Time Coded Pcm/Fm For Aeronautical Mobile Telemetry, Zachary B. Hilton

Theses and Dissertations

This thesis describes the application of a space-time block code for the legacy continuous phase modulation called "PCM/FM" in the IRIG 106 standard to solve the "two-antenna problem". This problem arises when two transmit antennas are used for full spatial coverage at the cost of self-interference caused by the different delays between the transmit antennas and the ground-based antenna. The space-time block encoder is described using bit-level operations on the input data stream. The space-time decoder uses coherent combining and maximum likelihood sequence estimation to produce an estimate of the data sequence. Simulation results for zero and various non-zero differential …


Hypertext Transfer Protocol Fingerprinting: Techniques For Attacker-In-The-Middle Proxy Detection, Evasion, And Counter-Evasion, Jensen George Wood Apr 2026

Hypertext Transfer Protocol Fingerprinting: Techniques For Attacker-In-The-Middle Proxy Detection, Evasion, And Counter-Evasion, Jensen George Wood

Theses and Dissertations

Attacker-in-the-middle (AitM) phishing toolkits have emerged as a critical threat to enterprise and individual security by enabling adversaries to bypass multi-factor authentication (MFA) and compromise cloud-based accounts at scale. Traditional detection techniques--such as IP blocklists or content-based detection methods--are often ineffective against these increasingly sophisticated attacks. We propose a novel method that detects malicious proxies by identifying artifacts they introduce into HTTP request headers. To evaluate our approach, we systematically analyze traffic passed through several open-source AitM toolkits and proxies, identifying distinct modifications to header structures and content, then formalize these features as YARA rules for automated use. To validate …


Real-Time Data Collection System For Low-Cost Diesel Emissions Monitoring, Zachary Driskill Apr 2026

Real-Time Data Collection System For Low-Cost Diesel Emissions Monitoring, Zachary Driskill

Theses and Dissertations

Diesel trucks are a major source of pollutants, including particulate matter (PM) and NO$_x$. Roadside emissions monitoring can identify high-emitting diesel vehicles, but conventional sensing systems rely on expensive, complex sensing instruments that limit widespread deployment. Low-cost sensors offer increased scalability due to their small size, low cost, and low power consumption, but they have lower accuracy and slower response time. This thesis presents the design and evaluation of a low-cost roadside emissions monitoring system, establishing the foundation for a scalable and widely deployable alternative. We apply machine learning calibration to roadside emission monitoring to improve the usability of low-cost …


Implementation And Evaluation Of Alternative Methods For Simulation Of Sidescan Sonar, Blake Paul Romrell Apr 2026

Implementation And Evaluation Of Alternative Methods For Simulation Of Sidescan Sonar, Blake Paul Romrell

Theses and Dissertations

The original sonar implementation for the HoloOcean simulator was built upon a cached octree representation of the world. On first runs, building the cache was prohibitively slow, and the cache had a major memory footprint. This work presents alternative implementations for the sidescan sonar using direct raytracing on the CPU and rendering on the GPU. To evaluate and compare the implementations, timing tests on comparable parameters, as well as sweeps on resolution and range parameters, were performed. The render-based GPU implementation outperformed the others in the timing tests.


Leveraging River Forecast Center Knowledge To Improve Large-Scale Hydrologic Model Performance Through Bias Correction, Ian Mathews Apr 2026

Leveraging River Forecast Center Knowledge To Improve Large-Scale Hydrologic Model Performance Through Bias Correction, Ian Mathews

Theses and Dissertations

The National Water Model (NWM) provides continental-scale streamflow predictions but exhibits bias and reduced skill in highly regulated and snow-driven basins. In contrast, River Forecast Center (RFC) models incorporate decades of local calibration and regulatory knowledge but are limited in spatial coverage to specific points of interest. This study evaluates whether hydrologic knowledge embedded in RFC-calibrated simulations can be transferred to improve NWM performance at unmonitored locations using the Streamflow Analysis for Bias Estimation and Reduction (SABER) framework. Using Colorado Basin River Forecast Center (CBRFC) simulations as surrogate reference data, we applied SABER to the NWM 44-year retrospective model simulation …


Redox Reprogramming In Neurogenesis: Candidate Developmental Switches And Targets Of Oxidative Toxicity In The Redox Proteome, Ryan Jacob Summerhays Apr 2026

Redox Reprogramming In Neurogenesis: Candidate Developmental Switches And Targets Of Oxidative Toxicity In The Redox Proteome, Ryan Jacob Summerhays

Theses and Dissertations

Neurogenic differentiation requires coordinated redox regulation, yet how reversible cysteine oxidation is remodeled at proteome scale during this process remains poorly defined. Here, we asked whether differentiation is associated with selective, site-specific changes in reversible cysteine oxidation and whether oxidative stress reveals developmentally conditioned vulnerabilities within this redox landscape. To address this, we applied a discovery-oriented, proteome-scale redox profiling strategy that quantifies condition-dependent changes in reversible cysteine oxidation using CysPAT labeling, phosphopeptide enrichment, and multiplexed TMT mass spectrometry. Neurogenic differentiation was characterized by reproducible, bidirectional, and highly site-specific remodeling of reversible cysteine oxidation at discrete regulatory nodes, as well as …


Differentials As Models: Constructing A Differentials-Within-Limits Framework For First-Year Calculus And Examining Students' Understanding Of Limits, Differentials, And Derivatives Within It, Alexander A. Swindler Apr 2026

Differentials As Models: Constructing A Differentials-Within-Limits Framework For First-Year Calculus And Examining Students' Understanding Of Limits, Differentials, And Derivatives Within It, Alexander A. Swindler

Theses and Dissertations

Work in first-year calculus has clearly shown the power that treating differentials (such as dx) as tiny quantities affords for first-year calculus learning, yet a traditional limits-based approach leaves no room for them. While some researchers have loosely described informal differentials and limits within the same paradigm, their actual conceptual definitions and relationships have not been explicitly constructed. Continued progress in this area could benefit from theoretical consideration of (a) providing clearer intuitive definitions for differentials inside a limits-based approach to calculus, and (b) defining more exactly the relationships between differentials and limits. In this study, I propose a theoretical …


Transcriptomic Analysis Of Xeroderma Pigmentosum Group C Skin Samples, Austen N. Gleave Apr 2026

Transcriptomic Analysis Of Xeroderma Pigmentosum Group C Skin Samples, Austen N. Gleave

Theses and Dissertations

Xeroderma Pigmentosum is a rare genetic disorder caused by defective DNA damage repair enzymes. This condition results in an increased risk of developing skin cancer and other symptoms in those affected. In this thesis, we examined the effects of Xeroderma Pigmentosum on gene expression in patient skin biopsy samples. To accomplish this, we utilized statistical analysis of spatial transcriptomic and single-cell RNA sequencing techniques to discover differences between patient and heterozygous carrier skin samples. We found that the skin samples from Xeroderma Pigmentosum patients showed elevated levels of inflammation, immune activation, and cellular stress, while the carrier skin samples leaned …


An Efficient Approximation To The Vibrational Coupled Cluster Method For Large Molecules, Nivedhitha P Ms Apr 2026

An Efficient Approximation To The Vibrational Coupled Cluster Method For Large Molecules, Nivedhitha P Ms

Theses and Dissertations

The Watson Hamiltonian is a widely used model for describing anharmonic vibrational motion in polyatomic molecules. It expresses the kinetic energy in separable dimensionless normal coordinates and represents the potential energy as a Taylor series expansion around the equilibrium geometry, usually up to the quartic approximation. Several computational methods have been developed to solve the corresponding vibrational Schrödinger equation for predicting infrared (IR), Raman, and vibrational circular dichroism (VCD) spectra. These include the Vibrational Self-Consistent Field (VSCF) method, Vibrational Configuration Interaction (VCI) and its approximations, and Vibrational Second-Order Perturbation Theory (VPT2), each providing different balances between computational cost and accuracy. …