Digital Commons Network^™

Thermally Stable Sic Particulate-Reinforced Sic Composites Up To 2000 ℃ Fabricated By Precursor Impregnation And Pyrolysis Method, Jian Gu, Vu Viet Hung, Lun Feng, William G. Fahrenholtz, Daejong Kim, Seyoung Kim, Sea Hoon Lee

Materials Science and Engineering Faculty Research & Creative Works

The thermo-mechanical properties of SiC particulate-reinforced SiC composites (SiC-PRCs), fabricated using precursor impregnation & pyrolysis (PIP) process, were analyzed up to 2000 ℃. The relative density of the SiC-PRCs after 4 PIP cycles was 88.6 %. The number of PIP cycles required decreased to nearly half compared with the conventional PIP method by using ultra-high concentration slurries up to 70 vol%. In addition, room-temperature bending strength (215 MPa) and Young's modulus (269 GPa) improved as the solid loading of the slurry increased. The bending strength increased to 232 MPa at 2000 ℃ in Ar. Despite the thermal deterioration of the …

A Software Package For Generating Robust And Accurate Potentials Using The Moment Tensor Potential Framework, Josiah Roberts, Biswas Rijal, Simon Divilov, Jon Paul Maria, William G. Fahrenholtz, Douglas E. Wolfe, Donald W. Brenner, Stefano Curtarolo, Eva Zurek

Materials Science and Engineering Faculty Research & Creative Works

We present the Plan for Robust and Accurate Potentials (PRAPs), a software package for training and using moment tensor potentials (MTPs) in concert with the Machine Learned Interatomic Potentials (MLIP) software package. PRAPs provides an automated workflow to train MTPs using active learning procedures, and a variety of utilities to ease and improve workflows when utilizing the MLIP software. PRAPs was originally developed in the context of crystal structure prediction, in which one calculates convex hulls and predicts low energy metastable and thermodynamically stable structures, but the potentials PRAPs develops are not limited to such applications. PRAPs produces two potentials, …

A Borophosphate Glass Doped With Cobalt Oxide Improves Skeletal Muscle Structure And Function In Myopathic Mice, Jacob A. Kendra, Alexandra G. Naman, Rebekah L. Blatt, Carla D. Zingariello, Richard K. Brow, Steven S. Segal, Aaron B. Morton

Materials Science and Engineering Faculty Research & Creative Works

Skeletal muscle myopathy remains a significant cause of disability with limited treatment strategies. Advancements in tissue engineering have led to the development of borophosphate bioactive glasses (BPBGs) capable of enhancing skeletal muscle structure and function. Using a mouse model of severe myopathy (D2.mdx), we investigated muscle force, regeneration, angiogenesis and inflammation at 14, 70 and 140 days post-treatment (dpt). Tibialis anterior (TA) muscles of D2.mdx mice that received a single injection of cobalt oxide-doped BPBG (CoO-TRIM) particles exhibit greater active force, myofiber size, and regeneration through 70 dpt compared to control D2.mdx mice injected with Saline. Vascular endothelial growth factor …

Microstructural Evolution Of Zirconium Diboride Irradiated With 5–10 Mev Au Ions At Room Temperature And 570 °C, Narrie Loftus, José Olivares, Miguel Crespillo, Esther Enríquez Pérez, Jeremy Watts, Eric W. Bohannan, Gregory Hilmas, William Fahrenholtz, Joseph Graham

Materials Science and Engineering Faculty Research & Creative Works

Zirconium diboride was irradiated with 5 MeV Au^2 + , 7 MeV Au⁴⁺ and 10 MeV Au³⁺ ions at room temperature and 570 °C to doses from 1 to 8 displacements per atom (dpa). Grazing incidence X-ray diffraction (GIXRD) analysis revealed no secondary phase formation. Rietveld analysis of the GIXRD data indicated an accumulation of microstrain at low dpa and room temperature. Dislocations observed in transmission electron microscopy (TEM) cross-sections are likely the main contributor to the microstrain. High dpa and high-temperature samples exhibit lower lattice distortion than lower dpa samples, suggesting the presence of enhanced defect …

Superhard Refractory High-Entropy Diborides, M. D. Hossain, N. S. Mcilwaine, N. O. Marquez-Rios, A. C. Feltrin, V. Chawla, R. A. Mayanovic, W. G. Fahrenholtz, D. Penumadu, E. Zurek, D. W. Brenner, D. E. Wolfe, S. Divilov, H. Eckert, S. Curtarolo

Materials Science and Engineering Faculty Research & Creative Works

Using first-principles calculations and companion experimental validations, we demonstrate that the valence electron concentration (VEC) can be used to self-consistently parameterize the bonding characteristics of high-entropy diborides (HEBs) and in turn predict their mechanical properties. When VEC is 10.0 per formula unit (f.u.), HEBs enter the superhard category where Hv>40GPa because bonding states are optimally filled to resist shear deformation. Conversely, above or below a VEC of 10.0, the hardness decreases due to the filling of antibonding or the emptying of bonding states of the HEBs, respectively. This result is supported by analyses of the electronic structure, bonding, antibonding, …

Weaponizing Nature, Naturalizing Violence: Anthropologies Of Ecofascism, Chloe Ahmann, Mona Bhan, Alexandra Coțofană, Radhika Govindrajan, Julia Leser, Zeynep Oguz, Yuka Suzuki, Noah Theriault

All Works

After decades of denial and obstruction, the global Right is increasingly willing to acknowledge that climate change is a threat to lives and lifeways everywhere. Moreover, some seize on the specter of ecological collapse to advance fascistic politics. Mass shootings by White men who propose that eliminating racialized people will ease environmental pressures—including in Christchurch and El Paso—have been the most spectacular manifestations of this shift. But close observers note kindred shifts at borders and in boardrooms all across this planet, as far-right groups work not merely to “save the earth” but to save it for specific people, and from …

Improving Interlimb Coordination And Paretic Limb Use After Stroke Using A Novel Robotic Split-Crank Pedaling Device: A Cross-Sectional Study, Tom S. Ruopp, Brian Schmit, Sheila Schindler-Ivens

Biomedical Engineering Faculty Research and Publications

Background. Many stroke survivors cannot walk effectively, even after rehabilitation. Causes include impaired muscle activation, poor interlimb coordination, and limited restorative interventions. To address this, we developed CUped (pronounced “cupid”), a motorized split-crank pedaling device designed to compel use of the paretic limb and retrain interlimb coordination. We examined its within-session effects, comparing three proportional control schemes—assist (A), resist (R), and assist plus resist (A + R)—to identify which best promotes recovery-related movement.

Methods. Nineteen individuals with stroke and eleven controls pedaled in 5-min bouts, one per control scheme. Each bout included pre-test, exposure, and post-test periods. Participants were instructed …

Software Engineering In The Age Of Coding Agents: Failure Modes And Rejection Patterns, Mahd Mohd Hindi

Theses

This thesis investigates the real-world behavior of LLM-driven coding agents that generate code changes and submit pull requests (PRs) to public software repositories. As these tools evolve from autocomplete-style assistants into more autonomous agents, their contributions increasingly interact with socio-technical review processes (human reviewers, bots, CI/CD gates, and project norms). The thesis focuses on understanding why agent-generated PRs are accepted or rejected and what these outcomes reveal about current agent limitations in practical development workflows.

The main objective of this thesis is to systematically characterize rejection patterns and failure modes of agent-generated pull requests in real repositories. Specifically, the thesis …

Breaking Barriers, Transforming Digital Literacy, And Creating Immersive Learning Environments In The 21st Century, Romero D'Souza

Journal of Research Initiatives

This paper explores the future of educational technologies with a focus on breaking systemic barriers, enhancing digital literacy, and fostering immersive learning environments. Using Maharashtra, India as a case study, it examines disparities in infrastructure, internet access, and teacher readiness across government and private institutions. Local challenges are analyzed alongside initiatives like the Digital India Mission, while national policies and international best practices are reviewed for broader context. Cross-cutting themes of equity, access, and professional development highlight the need for inclusive technological integration. The pedagogical implications of emerging technologies—particularly AI and AR/VR—are assessed alongside ethical concerns around data privacy and …

Introducing The Aasspectq Framework: A New Typology For Assessing Quality, Pedagogy, Outcomes, And Learning In Micro-Credentials, Felix Quayson

Journal of Research Initiatives

Micro-credentials have gained increasing attention as a flexible and competency-based approach to bridging the gap between formal education and workforce demands. Unlike traditional qualifications and degrees, micro-credentials focus on discrete, demonstrable skills that can be rapidly developed, assessed, and recognized across industries. I proposed the Auditing, Avoidance, Specificity, Skills, Personalization, Efficiency, Competency, Technology, and Quality Assurance (AASSPECTQ) conceptual framework to examine the current state of micro-credential implementation, highlighting the tools, learning outcomes, and assessment instruments necessary for effective program design. The challenges of quality assurance, portability, and recognition that continue to limit widespread adoption were also explored. By …

Opencil: Benchmarking Out-Of-Distribution Detection In Class Incremental Learning, Wenjun Miao, Guansong Pang, Trong-Tung Nguyen, Ruohuan Fang, Jin Zheng, Xiao Bai

Research Collection School Of Computing and Information Systems

Class incremental learning (CIL) aims to learn a model that can not only incrementally accommodate new classes, but also maintain the learned knowledge of old classes. Out-of-distribution (OOD) detection in CIL is to retain this incremental learning ability, while being able to reject unknown samples that are drawn from different distributions of the learned classes. This capability is crucial to the safety of deploying CIL models in open worlds. However, despite remarkable advancements in the respective CIL and OOD detection, there lacks a systematic and large-scale benchmark to assess the capability of advanced CIL models in detecting OOD samples. To …

A Knowledge Transfer-Based Membrane Evolutionary Algorithm For Solving Large-Scale Sorted Waste Collection Problem With Timeliness, Wenxue Zhang, Boquan Gao, Aldy Gunawan, Yunyun Niu, Jianhua Xiao

Research Collection School Of Computing and Information Systems

The sorted collection of municipal solid waste has emerged as an effective waste management strategy due to varying timeliness requirements across different waste types, giving rise to the critical research challenge of timeliness-based waste collection. While existing algorithms primarily focus on small-scale versions of this problem, solving large-scale timeliness-based waste collection problems remains particularly challenging. To tackle this issue, this paper proposes a knowledge transfer-based membrane evolutionary algorithm. Specifically, the original problem and simplified problem are constructed in different membranes respectively, and the knowledge transfer learning mechanism is incorporated into the membrane evolutionary algorithm, enabling effective information exchange between the …

Learning To Search For Vehicle Routing With Multiple Time Windows, Kuan Xu, Zhiguang Cao, Chenlong Zheng, Lindong Liu

Research Collection School Of Computing and Information Systems

In this study, we propose a reinforcement learning-based adaptive variable neighborhood search (RL-AVNS) method designed for effectively solving the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). Unlike traditional adaptive approaches that rely solely on historical operator performance, our method integrates a reinforcement learning framework to dynamically select neighborhood operators based on real-time solution states and learned experience. We introduce a fitness metric that quantifies customers’ temporal flexibility to improve the shaking phase, and employ a transformer-based neural policy network to intelligently guide operator selection during the local search. Extensive computational experiments are conducted on realistic scenarios derived from the …

Bridging 2d And 3d Computational Modeling Of Vacuum Arc Remelting: Capturing Rotating Arc Dynamics In Axisymmetric Simulations, Zilong Zhang, Elaheh Dorari, Ramesh Minisandram, Shakarjee Krishnamoorthi, Lang Yuan

Faculty Publications

Computational modeling of the Vacuum Arc Remelting (VAR) process has been developed to provide a deeper physical and metallurgical understanding and assist in the manufacture of defect-free ingots. While fully 3D, time-resolved arc models capture arc–melt interactions with high fidelity, their high computational cost makes 2D steady arc models still the preferred option in industrial applications. In this study, a multi-physics VAR model, which accounts for magnetohydrodynamics, heat transfer, fluid dynamics, and melting/solidification, was established in ANSYS Fluent for Alloy 718 in 3D with a rotating arc. It was validated against measured melt pool morphology. A new 2D axisymmetric oscillating …

Disciplining Mechanisms: Governing Data Markets With Competition And Regulation, Peter Ormerod

Faculty Publications

The past decade has witnessed conceptual renewals in both competition law and information privacy law. These regulatory movements—Neo-Brandeis antitrust and structural data governance—share the objective of recalibrating the balance of power between individuals and the massive data-processing firms that now dominate modern life.

Despite their common ends, policy interventions drawn from these schools of thought can work at cross purposes: competitive pressure can induce data exploitation, and privacy rules tend to benefit the largest firms.

This Essay exposes the friction in their relationship and offers guidance on how to mediate their tension. Competition policy alone will prove ineffective at indirectly …

Online Age Gating: An Interdisciplinary Evaluation, Noah Apthorpe, Brett Frischmann, Yan Shvartzshnaider

Faculty Publications

The recent surge in regulation seeking to establish age-based governance online is part of a decades-long attempt to establish online zoning. It is driven by active development of technologies to estimate or verify user age based on various characteristics of users, their credentials, or their activities. However, these developments have heightened prevailing concerns that online age gating technology will inevitably be abused and misused to cause a variety of privacy harms and rights infringements. This paper examines this ongoing debate by bridging technical and legal scholarship to explore the current state of online age-based governance. We discuss the current legal …

Can A Un Protectorate Provide Resolution To Haitian Instability?, Andrew Wickes

Vanderbilt Journal of Transnational Law

No abstract provided.

Opting Out Of Court? Reputation And Informal Norms In Private Equity, Kobi Kastiel Professor Of Law, Yaron Nili Professor Of Law

Vanderbilt Law Review

Private equity, an industry characterized by high-stake investments and complex contractual arrangements, operates almost entirely outside of courts. Despite the substantial financial stakes involved--billions of dollars locked in for years--and the potential for fiduciary conflicts, litigation between limited partners ("LPs") and general partners ("GPs") who manage the investment is exceptionally rare. In stark contrast to public markets, where shareholder litigation plays a prominent role in deterring misconduct and shaping corporate norms, the private equity world is largely defined by its absence. The puzzle, then, is this: In an industry where fiduciary breaches or misaligned incentives are not uncommon, why do …

Quantifying Rate-Limiting Genetic Variation In Breast And Ovarian Tumourigenesis, Kathleen E Houlahan, Mahad Bihie, Yves Greatti, Julián Grandvallet Contreras, Daniel J Fulop, Gonzalo Lopez, Marc Williams, Hsin-Hsiung Huang, Peter Van Loo, Paul C Boutros, Kuan-Lin Huang

Faculty, Staff and Student Publications

Background: The number and type of genetic alterations required to initiate breast and ovarian cancer remain unclear. While germline BRCA1/2 carriers show markedly elevated cancer risk, it is uncertain whether point mutations or copy number alterations constitute the rate-limiting events of tumourigenesis.

Methods: We developed a statistical framework extending prior incidence-mutation models to estimate the minimal number and type of driver events required for cancer initiation. Somatic mutation and copy-number data from >3000 breast and ovarian cancers in TCGA and METABRIC were compared between germline BRCA1/2 carriers and non-carriers matched on subtypes. Results were validated through analyses of evolutionary timing …

Large Language Models For Bioinformatics, Wei Ruan, Yanjun Lyu, Jing Zhang, Jiazhang Cai, Peng Shu, Yang Ge, Yao Lu, Shang Gao, Yue Wang, Peilong Wang, Lin Zhao, Tao Wang, Yufang Liu, Luyang Fang, Ziyu Liu, Zhengliang Liu, Yiwei Li, Zihao Wu, Junhao Chen, Hanqi Jiang, Yi Pan, Zhenyuan Yang, Jingyuan Chen, Shizhe Liang, Wei Zhang, Terry Ma, Yuan Dou, Jianli Zhang, Xinyu Gong, Qi Gan, Yusong Zou, Zebang Chen, Yuanxin Qian, Shuo Yu, Jin Lu, Kenan Song, Xianqiao Wang, Andrea Sikora, Gang Li, Xiang Li, Quanzheng Li, Yingfeng Wang, Lu Zhang, Yohannes Abate, Lifang He, Wenxuan Zhong, Rongjie Liu, Chao Huang, Wei Liu, Ye Shen, Ping Ma, Hongtu Zhu, Yajun Yan, Dajiang Zhu, Tianming Liu

Faculty, Staff and Student Publications

With the rapid advancements in large language model technology and the emergence of bioinformatics-specific language models (BioLMs), there is a growing need for a comprehensive analysis of the current landscape, computational characteristics, and diverse applications. This survey aims to address this need by providing a thorough review of BioLMs, focusing on their evolution, classification, and distinguishing features, alongside a detailed examination of training methodologies, datasets, and evaluation frameworks. We explore the wide-ranging applications of BioLMs in critical areas such as disease diagnosis, drug discovery, and vaccine development, highlighting their impact and transformative potential in bioinformatics. We identify key challenges and …

A Comprehensive Biomechanical Material Characterization Of The Human Breast Fibro-Structural Support System, Aroj Bhattarai, Gregory P Reece, Kristy K Brock, Krishnaswamy Ravi-Chandar

Faculty, Staff and Student Publications

Breast surgery for aesthetic purposes, such as breast augmentation or breast reduction, and breast reconstruction after cancer treatment require an accurate structural (anatomical) and mechanical (functional) understanding of the breast components, including the fascial-ligamentous support system of the breast, to achieve optimal results. This paper aims to provide a comprehensive description of the mechanical behavior of the ligamentous and fascial connective tissues of the human female breast. Fasciae and ligaments obtained from 17 patients between 35 and 85 years of age who were undergoing mastectomy and three female cadavers were tested. Uniaxial tensile tests were conducted, and three constitutive models …

Placental Clues To Congenital Heart Disease: A Modeling Approach, Ashley S. Howard, Selina M. Tucker, Kaela Varberg

Manuscripts, Articles, Book Chapters and Other Papers

Congenital heart disease (CHD) remains the most common birth defect and a leading contributor to global infant morbidity and mortality. Early diagnosis improves outcomes, yet current screening methods frequently miss CHD during routine prenatal screening. The placenta, which develops in parallel with the fetal heart and shares critical molecular pathways, represents an underexplored diagnostic tissue. We highlight clinical, epidemiological, and mechanistic insights that link placental abnormalities to CHD and explore how imaging, in vitro models, and multiomics can improve our understanding of the placenta–heart axis. Leveraging these tools will offer opportunities for earlier CHD detection and illuminate avenues for intervention …

Epidemiology Of Aspergillosis Diagnoses In Us Adults Using A National Ehr Database, 2013-2023., Brittany L. Morgan Bustamante, Elijah G. Martinez, Aidan Lee, Natalie J. Kane, Simon K. Camponuri, Rose M. Reynolds, Theo T. Snow, Juliana G E Bartels, Mark A. Hoffman, Theodore C. White, Justin V. Remais

Manuscripts, Articles, Book Chapters and Other Papers

BACKGROUND: Aspergillosis is a fungal infection associated with rising hospitalizations and substantial morbidity and mortality. In the United States, data remain fragmented due to the absence of centralized surveillance. This study aimed to evaluate demographic, geographic, and temporal trends in aspergillosis diagnoses across the United States and evaluate changes in those patterns following the emergence of COVID-19.

METHODS: We conducted a retrospective cohort study using electronic health record data from 142 US healthcare systems (Oracle Health), including adults aged ≥18 years who received care between 2013 and 2023. The cohort included over 76 million patients and 127 million person-years. Aspergillosis …

Evaluating The Feasibility Of Blockchain Technology For Secure Voting Systems: A Systematic Mapping, Dijesh Shrestha, Shishir Poudel

Annual Research Symposium

Voting is central to democracy. Yet it can be vulnerable to manipulation, fraud, and limited transparency. Traditional ballot-based voting faces challenges in record-keeping and trust, while electronic voting (e-voting) struggles with data integrity and central authority control. Blockchain known for its decentralized and immutable ledger, presents a promising solution to enhance trust, transparency, and security in the voting process.

Objective: Investigate and evaluate the current state of blockchain-based voting approaches to determine feasibility, benefits, and security considerations. Research questions: (1) issues in traditional voting system and can blockchain be a solution to it; (2) what are the current solution and …

Utilization Of National Guard Cyber Forces In Title 32 Status For National Cyber Missions, David A. Schroeder

Dissertations

There has been a debate for more than a decade in the United States about the precise role National Guard and Reserve military forces, and the National Guard in particular, can and should play in cyberspace operations. There are legal, policy, doctrinal, organizational, cultural, and bureaucratic issues that must be overcome or understood to employ National Guard forces for national cyber operations. Leaders in Congress, U.S. Cyber Command, and the National Guard have clearly articulated the need to leverage the cyber expertise in the National Guard in defense of the nation. Papers, articles, and hearings have repeatedly examined the existing …

Quantum Safe Encryption (Qse) Within The Internet Of Medical Things (Iomt) Environment Using Zero Trust Architecture (Zta), Michael Grant Williams

Dissertations

This research will use a Design Science Research (DSR) methodology and show that the results would be feasible, since there will not be any actual validating or testing occurring within or on this research project because this model is a theoretical model. In addition, this proposed theoretical model is based on extensive use of NIST standards and frameworks. This theoretical model will focused on the use of Quantum-Safe Encryption (QSE) within the Vivalink Electrocardiogram (ECG) Patch Monitor Internet of Medical Things (IoMT) device in a Zero Trust Architecture (ZTA). The advancement of quantum computing (QC) is expected to …

Beyond Artifacts And Fossils: Exploring The Contributions And Socioeconomic Impacts Of Montana’S Museums And Paleontological Tourism, Emma Keinath-Lopez, Elena Bigart, Glenna Hartman, Kara Grau, Ava Worbets, Melissa Weddell

Institute for Tourism and Recreation Research Publications

This study explores how Montana’s museums, including those along the Montana Dinosaur Trail, influence communities, economies, and visitor experiences in a post-pandemic environment. Through mixed methods—511 visitor surveys at 44 museums and 18 interviews with museum professionals— this research provides a holistic understanding of museum operations, visitor motivations, and community impacts.

Acinetobacter Spp. With Lower Susceptibility To Quaternary Ammonium Compounds Enriched In Microbial Communities Of Frequently Used Sinks, M. C. Cruz, R. Ruhal, J. Lavin, S. Bridwell, N. Maghboli Balasjin, B. Raasch, R. Melton, Brooke K. Mayer, Christopher Marshall, Krassimira R. Hristova

Civil and Environmental Engineering Faculty Research and Publications

Sanitary environments that undergo frequent cleaning and disinfection may harbor microbial communities with potential health risks. While biofilms in healthcare settings are well studied, comparatively less is known about sink-drain microbiomes in public and educational buildings, where hundreds of people may interact with shared sink fixtures. This study characterized the spatial and temporal heterogeneity of sink-drain biofilm microbiomes in academic buildings. We sampled 16 sinks from two buildings (four floors each, with sinks closest and furthest to the bathroom entrance), which are cleaned daily with quaternary ammonium compound (QAC) disinfectants, during periods of low and high student traffic (during and …

Stroke Increases Motor Output Variability During Maximal Voluntary Isometric Contractions Of Knee Extensor Muscles In Adults, Zhilun Zhou, Stephanie Christine Wolfe, Brian Schmit, Matthew J. Durand, Sandra Hunter, Allison Hyngstrom

Physical Therapy Faculty Research and Publications

Greater motor output variability (MOV, inconsistency and unsteadiness) during submaximal tasks post stroke is associated with poorer motor performance. However, little is known about MOV during maximal tasks and relationships with clinical measures of motor performance among stroke survivors. This study determined inconsistency (across discrete attempts) and unsteadiness (within a single attempt) during knee extension maximal voluntary isometric contractions (MVICs) in stroke survivors and neurotypical controls. Forty-three stroke survivors (28 female) and 31 age-matched neurotypical controls (15 female) performed a minimum of five knee extension MVICs with paretic and non-paretic legs (stroke) or dominant leg (controls). Inconsistency was calculated as …

Intramolecular Nonbonding Interactions And Geared Phenyl Twisting In Para-Disubstituted 1,4-Diphenylazines: Electron Correlation Effects On Molecular Conformations And Enantiomerization, Kaidi Yang, Harmeet Bhoday, Rainer Glaser

Chemistry Faculty Research & Creative Works

The results are reported of potential energy surface (PES) analyses of six symmetrical azines Y_p − Ph − RC=N − N=CR − Ph − Y_p, namely, the benzaldehyde azines 1H, 2H, and 8H with R = H and the acetophenone azines 1M, 2M, and 8M with R = Me. The Y substituents Cl (1), Br (2), and Me (8) were studied because sets of polymorphs I (C2-symmetry, azine twist τ ≈ 135 ± 10°, disrotatory phenyl twists ϕi ≠ 0°) and II (Ci-symmetry, τ = 180°, conrotatory ϕi ≠ 0°) were crystallized for these three azines. The …