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Search Results (7,014)

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46 pages, 1493 KB  
Article
Active Inference and Functional Parametrisation: Differential Flatness and Smooth Random Realisation
by Hugues Mounier, Thomas Parr and Karl Friston
Entropy 2026, 28(1), 87; https://doi.org/10.3390/e28010087 (registering DOI) - 11 Jan 2026
Abstract
This paper is a first attempt to marry constructive nonlinear control theory techniques with active inference. Specifically, we are interested in the relationship between differential flatness and the design of generative models for use in control settings. We place specific emphasis on the [...] Read more.
This paper is a first attempt to marry constructive nonlinear control theory techniques with active inference. Specifically, we are interested in the relationship between differential flatness and the design of generative models for use in control settings. We place specific emphasis on the pathwise properties of differentially flat systems that inherit from their definition in terms of successive temporal derivatives and relate this to the use of generalised coordinates of motion in formulating continuous-time generative models in active inference. To illustrate the basic concepts, we appeal to the example of oculomotor control. Full article
(This article belongs to the Section Complexity)
24 pages, 476 KB  
Article
APAR: A Structural Design and Guidance Framework for Gamification in Education Based on Motivation Theories
by J. Carlos López-Ardao, Miguel Rodríguez-Pérez, Sergio Herrería-Alonso, M. Estrella Sousa-Vieira, Alfonso Lago Ferreiro, Andrés Suárez-González and Raúl F. Rodríguez-Rubio
Multimodal Technol. Interact. 2026, 10(1), 10; https://doi.org/10.3390/mti10010010 - 10 Jan 2026
Abstract
Gamification is widely used to enhance student motivation, yet many educational design proposals remain conceptual and provide limited operational guidance for digital learning environments. This paper introduces APAR (Activities, Points, Achievements and Rewards), a content-independent structural framework for designing and implementing educational gamification [...] Read more.
Gamification is widely used to enhance student motivation, yet many educational design proposals remain conceptual and provide limited operational guidance for digital learning environments. This paper introduces APAR (Activities, Points, Achievements and Rewards), a content-independent structural framework for designing and implementing educational gamification in learning platforms. Grounded in motivation theories (including Self-Determination Theory and Relatedness–Autonomy–Mastery–Purpose) and reward taxonomies (Status, Access, Power and Stuff), APAR distinguishes high-level design constructs from concrete game elements (e.g., points, badges and leaderboards) and provides a systematic design loop linking learning activities, feedback, intermediate goals and reinforcement. The contribution includes (i) a mapping table relating each APAR construct to motivation models, supported dynamics and typical learning-platform implementations; (ii) an actionable design guide; and (iii) an empirical illustration implemented in Moodle in a higher-education Computer Networks course. In this setting, the proportion of enrolled students taking the final exam increased from 58% to 72% in the first year, and the proportion of enrolled students passing increased from 17% to 38%; in 2022–2023 these values were 70% and 39%, respectively (56% of exam takers passed). While the use case relies on quantitative course-level indicators and is observational, the findings support the potential of structural gamification as an integrated methodological tool and motivate further mixed-method validations. Full article
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34 pages, 595 KB  
Article
Scaffolding Probabilistic Reasoning in Civil Engineering Education: Integrating AI Tutoring with Simulation-Based Learning
by Jize Zhang
Educ. Sci. 2026, 16(1), 103; https://doi.org/10.3390/educsci16010103 - 9 Jan 2026
Abstract
Undergraduate civil engineering students frequently struggle to transition from deterministic to probabilistic reasoning, a conceptual shift essential for modern structural design practice governed by reliability-based codes. This paper presents a design-based research (DBR) contribution and a theoretically grounded pedagogical framework that integrates AI-powered [...] Read more.
Undergraduate civil engineering students frequently struggle to transition from deterministic to probabilistic reasoning, a conceptual shift essential for modern structural design practice governed by reliability-based codes. This paper presents a design-based research (DBR) contribution and a theoretically grounded pedagogical framework that integrates AI-powered conversational tutoring with interactive simulations to scaffold this transition. The framework synthesizes cognitive load theory, scaffolding principles, self-regulated learning research, and threshold concepts theory. The design incorporates three novel elements: (1) a structured misconception inventory specific to structural reliability, derived from literature and expert elicitation, with each misconception linked to targeted intervention strategies; (2) an integration architecture connecting large language model tutoring with domain-specific simulations, where simulation states inform tutoring and misconception detection triggers targeted activities; and (3) a scaffolded module sequence building systematically from deterministic foundations through probability concepts to reliability analysis methods. Sequential modules progress from uncertainty recognition through Monte Carlo simulation and design applications. We provide technical specifications for the implementation of AI tutoring, including prompt engineering strategies, accuracy safeguards that address known limitations of large language models (LLMs), and protocols for escalation to human instructors. An assessment framework specifies concept inventory items, process measures, and practical competence tasks. Ultimately, this paper provides testable conjectures and identifies conditions under which the framework might fail, structuring subsequent empirical validation with student participants following institutional ethics approval. Full article
(This article belongs to the Section Technology Enhanced Education)
28 pages, 766 KB  
Article
The Rebirth of Industrial Heritage: How the Regeneration of Historical Spaces Impacts People’s Mental and Physical Health Through Restorative Perception
by Yinghang Fu and Mengchang Yang
Buildings 2026, 16(2), 290; https://doi.org/10.3390/buildings16020290 - 9 Jan 2026
Abstract
This study aims to explore how industrial heritage regeneration spaces influence employees’ physical and psychological health through restorative perception. With the rapid urbanization and increasing emphasis on sustainable development, the adaptive reuse of industrial heritage sites has become a vital strategy in urban [...] Read more.
This study aims to explore how industrial heritage regeneration spaces influence employees’ physical and psychological health through restorative perception. With the rapid urbanization and increasing emphasis on sustainable development, the adaptive reuse of industrial heritage sites has become a vital strategy in urban renewal. However, the impact of such spaces on people’s health remains underexplored, especially in terms of how the work environment and restorative psychological mechanisms interact. Using a cross-sectional survey design, data from 486 employees in adaptive reuse projects across major cities in China were analyzed through Structural Equation Modeling (SEM). Employees were chosen as the target population because they represent a group with stable, repeated, and long-term exposure to the regenerated environment during daily routines. Compared with visitors, whose exposure duration, activity purposes, and spatial routes are highly variable, employees provide a more consistent context to test the proposed restorative mechanisms. The results revealed that industrial heritage attribute perception (IHAP), including scale, materiality, historical presence, and functional transformation, significantly predicted restorative perception (β = 0.546, p < 0.001), which in turn positively influenced both psychological health (β = −0.647, p < 0.001) and physical health (β = 0.688, p < 0.001). Instrumental variable analysis using “building age” and “green coverage rate” confirmed the robustness of these findings, showing that restorative perception still significantly improved mental (β = −2.295, p < 0.001) and physical health (β = 0.528, p < 0.001) after addressing endogeneity issues. Furthermore, individual differences such as work tenure (β = 0.239, p < 0.001) and environmental sensitivity (β = 0.054, p > 0.05) moderated these effects. This study extends Attention Restoration Theory (ART) by applying it to historical industrial environments, offering both theoretical insights and practical guidance for designing adaptive reuse spaces that promote employee well-being. Full article
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18 pages, 291 KB  
Article
Expecting Less and Getting It: The Role of Rejection Sensitivity in Feedback-Seeking and Supervisory Relationships
by Emily Bosk, Alicia Mendez, Tareq Hardan, Abigail Williams-Butler, Thomas Mackie and Michael MacKenzie
Psychol. Int. 2026, 8(1), 5; https://doi.org/10.3390/psycholint8010005 - 9 Jan 2026
Abstract
While there is extensive literature on the strengths of different supervisory models, we have limited understanding of how the relational capacity of front-line staff may impact how they receive and seek feedback from their supervisor. This study examines how mental health providers’ and [...] Read more.
While there is extensive literature on the strengths of different supervisory models, we have limited understanding of how the relational capacity of front-line staff may impact how they receive and seek feedback from their supervisor. This study examines how mental health providers’ and front-line staff’s own rejection sensitivity may be associated with the supervisory relationship and the ways in which job feedback is sought and received in community-based mental health settings. Cross-sectional survey data were collected from 156 front-line staff of three mental health agencies. Staff were administered an original survey using validated measures related to supervision, feedback, and relational capacities. We found staff with a higher rejection sensitivity (RS) were less likely to actively seek feedback about their performance; and, when feedback was received, were more likely to rate its quality as poor. Staff with a higher RS were more likely to perceive their supervisor and their relationship negatively. This is the first study to examine whether workers’ relational capacities, as expressed through a higher RS, influence their perceptions of supervision and quality of feedback and their feedback-seeking behaviors. These findings build theory related to the important role that staff relational capacities play in influencing organizational dynamics and support. Full article
28 pages, 435 KB  
Essay
Looking Upstream: Applying Social Theory to the Interpretation of the Forensic Record
by Rylan Tegtmeyer Hawke, Phoenix Farnham, Sarajane Smith-Escudero, Rachel Coppock and Jesse Goliath
Humans 2026, 6(1), 3; https://doi.org/10.3390/humans6010003 - 9 Jan 2026
Abstract
Traditionally, the field of forensic anthropology has built its foundation on being an objective observer of human behavior to answer questions of medicolegal significance. With the publication of the NAS report in 2009, the field continues to fulfill scientific criteria by analyzing data [...] Read more.
Traditionally, the field of forensic anthropology has built its foundation on being an objective observer of human behavior to answer questions of medicolegal significance. With the publication of the NAS report in 2009, the field continues to fulfill scientific criteria by analyzing data and providing statistical validation for methods of identification, yet may often fall short in offering interpretations of the patterns that exist and the underlying factors influencing these observations. Conversely, biocultural anthropology excels at theorizing and interpreting social patterns by recognizing that biology and culture interact to impact an individual’s lived experience, but its foundation often lacks a robust statistical lens. However, if we combine the analytics of forensic anthropology with the interpretive power of biocultural anthropology—specifically, social theories of behavior—we have the opportunity to explore the intersection between personhood, the body, and society. One such example can be seen through examining the prolonged (and often generational) effects of structural, physical, and cultural violence, social injustices, inequities, and inequalities that may affect an individual’s propensity to be both a perpetrator AND a victim of circumstance. This paper examines previous work discussing the theoretical foundations of forensic anthropology and existing social theory research to bridge the gap between the “who,” the “why,” and the “when” as they exist in the forensic record. Ultimately, the goal is to provide meaningful steps for understanding, interpreting, and potentially influencing change in the field of forensic anthropology. Full article
19 pages, 4494 KB  
Article
Developing Technical Literacy for Business School Students Studying Innovation
by Alexander Utne, Håvar Brattli and Matthew Lynch
Educ. Sci. 2026, 16(1), 100; https://doi.org/10.3390/educsci16010100 - 9 Jan 2026
Viewed by 42
Abstract
This study examines how business school students with no programming background develop technical literacy through a newly introduced Digital Innovation course. Addressing a gap in non-STEM education research—where little is known about how social science students experience technical literacy interventions—we draw on qualitative [...] Read more.
This study examines how business school students with no programming background develop technical literacy through a newly introduced Digital Innovation course. Addressing a gap in non-STEM education research—where little is known about how social science students experience technical literacy interventions—we draw on qualitative data from group exam reflections (n = 14) and mid-semester survey responses (n = 7). Using an inductive thematic analysis, the study investigates how students perceived, navigated, and made sense of foundational coding activities. Four themes emerged: (1) Perceived value of coding and technical literacy, (2) Hidden gaps in foundational technical literacy, (3) AI as a cognitive and pedagogical scaffold and (4) Emerging technical competence and identity formation. Framed within theories of digital literacy and constructivist learning, the findings show how limited, scaffolded exposure to web development can shift students from digital consumption toward novice digital production. The study contributes empirical insight into how coding can be meaningfully embedded within business school curricula and offers pedagogical recommendations for designing accessible technical literacy interventions. Full article
21 pages, 860 KB  
Article
Pragmatic Framing of Sustainability in UN and UNESCO Leadership Speeches
by Faiza Mohamed Tabib, Nibal Al Muallem, Maher Ibrahim Tawdrous, Khaled Younis Alderbashi and Moustafa Kamal Moussa
Sustainability 2026, 18(2), 632; https://doi.org/10.3390/su18020632 - 8 Jan 2026
Viewed by 120
Abstract
Leadership speeches delivered within the United Nations and UNESCO play an active role in shaping global policy discourse. As widely circulated texts, they influence how policymakers understand sustainability, responsibility, and education by defining global challenges, allocating responsibility, and communicating shared priorities. This study [...] Read more.
Leadership speeches delivered within the United Nations and UNESCO play an active role in shaping global policy discourse. As widely circulated texts, they influence how policymakers understand sustainability, responsibility, and education by defining global challenges, allocating responsibility, and communicating shared priorities. This study examines how these concepts are articulated in selected leadership speeches delivered between 2022 and 2025. The analysis adopts a pragmatic framing approach informed by non-linear pragmatic theory. It focuses on six interrelated dimensions: problem definition, causal responsibility, treatment responsibility, value framing, future-oriented framing, and education-specific framing. The findings show that sustainability is consistently framed as a complex ethical challenge linked to climate change, social inequality, and global injustice. Responsibility is presented as shared but uneven, with greater obligations assigned to high-income countries, international institutions, and education systems. Education is addressed both directly, through references to curriculum reform, teacher preparation, and higher education leadership, and indirectly as a means of supporting climate resilience, ethical technological development, and global citizenship. Overall, the study demonstrates that leadership speeches function as influential discursive sites through which sustainability narratives are advanced and priorities for Education for Sustainable Development are communicated, highlighting the value of pragmatic framing for research on international sustainability communication. Full article
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29 pages, 8630 KB  
Article
Exploring Deaf Aesthetics as Spatial-Geometric Thinking, Acting, and Feeling: A Case Study
by Jennifer S. Thom and Joanne C. Weber
Educ. Sci. 2026, 16(1), 88; https://doi.org/10.3390/educsci16010088 - 8 Jan 2026
Viewed by 188
Abstract
Spatial skills, while vital to STEM (Science, Technology, Engineering, and Mathematics) and STEAM (Science, Technology, Engineering, Arts, and Mathematics) fields, are fundamental to understanding all mathematics. Yet the absence of spatial development in elementary curricula, particularly geometry, where such skills can be deeply [...] Read more.
Spatial skills, while vital to STEM (Science, Technology, Engineering, and Mathematics) and STEAM (Science, Technology, Engineering, Arts, and Mathematics) fields, are fundamental to understanding all mathematics. Yet the absence of spatial development in elementary curricula, particularly geometry, where such skills can be deeply explored, is compounded by a lack of theoretical and empirical research, especially in deaf education, where little research addresses learners’ spatial-geometric understandings and the ways their bodies contribute to developing such understandings. We first review relevant literature to interrelate mathematics, spatial activity, and embodied cognition with aesthetics for STEAM (Science, Technology, Engineering, Arts, and Mathematics) in deaf education. We then present a case study in which we observed and assessed Evan, a deaf student, as he worked on three geometry tasks. This video-based research utilises the Pirie–Kieren Theory/Model to further consider the aesthetic, spatially dynamic, and embodied ways that Evan’s geometric understandings emerged and evolved into more formal mathematical activity. Finally, we discuss the ways the study findings focused on spatial-geometric development support future STEAM education research and classroom mathematics towards growth-oriented learning for deaf students. Full article
(This article belongs to the Special Issue Full STEAM Ahead! in Deaf Education)
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18 pages, 324 KB  
Review
Can AI Think Like Us? Kriegel’s Hybrid Model
by Graziosa Luppi
Philosophies 2026, 11(1), 6; https://doi.org/10.3390/philosophies11010006 - 6 Jan 2026
Viewed by 296
Abstract
This review provides a systematic critique of the debate between two paradigms in the philosophy of mind—the Naturalist–Externalist Research Program (NERP) and the Phenomenal Intentionality Research Program (PIRP)—with particular focus on Uriah Kriegel’s reconciliation project. Following Kriegel’s view, attention is given to rational [...] Read more.
This review provides a systematic critique of the debate between two paradigms in the philosophy of mind—the Naturalist–Externalist Research Program (NERP) and the Phenomenal Intentionality Research Program (PIRP)—with particular focus on Uriah Kriegel’s reconciliation project. Following Kriegel’s view, attention is given to rational agents’ awareness of their mental states—a key issue since most current artificial intelligence systems aim to model rational thinking and action. Naturalist accounts derive mental content from brain activity and environmental interaction, emphasizing a constitutive dependence of the former on the latter. In contrast, phenomenological theories assert that the object of mental states is an internal semblance presented to the subject. Within this framework, I maintain that Kriegel attempts to naturalize mental content within the framework of a Same Order theory, but this limits his ability to demonstrate that intentionality is grounded in consciousness in the sense of the Phenomenal Intentionality Research Program. Compounding this issue, the idea that the mind arises from manipulating representations has been challenged by dynamical approaches to cognitive science, yet advanced representational models persist, often simulating phenomenological qualities through forms of internal data organization. Methodologically, the approach is primarily comparative and reconstructive, focusing on the structural tensions and theoretical commitments that distinguish NERP and PIRP. Full article
6 pages, 790 KB  
Short Note
6-((2-Oxoindolin-3-ylidene)hydrazineylidene)indolo[2,1-b]quinazolin-12(6H)-one
by Elizaveta I. Samorodova, Anastasia R. Kovrizhina and Andrei I. Khlebnikov
Molbank 2026, 2026(1), M2121; https://doi.org/10.3390/M2121 - 6 Jan 2026
Viewed by 56
Abstract
A novel unsymmetrical azine, 6-((2-oxoindolin-3-ylidene)hydrazineylidene)indolo[2,1-b]quinazolin-12(6H)-one, was synthesized through a condensation reaction between tryptanthrin-6-hydrazone and isatin in chloroform under reflux conditions. Structural characterization revealed the compound exists as a mixture of geometric isomers with one predominant form. Density functional theory [...] Read more.
A novel unsymmetrical azine, 6-((2-oxoindolin-3-ylidene)hydrazineylidene)indolo[2,1-b]quinazolin-12(6H)-one, was synthesized through a condensation reaction between tryptanthrin-6-hydrazone and isatin in chloroform under reflux conditions. Structural characterization revealed the compound exists as a mixture of geometric isomers with one predominant form. Density functional theory (DFT) calculations identified the E,E configuration as the most stable isomer. The isomerization barriers for both C=N bonds were calculated at approximately 18.5 kcal/mol via nitrogen inversion. Given the established biological activities of tryptanthrin and isatin derivatives, this hybrid azine represents a promising lead compound for developing bifunctional drug candidates. Full article
(This article belongs to the Collection Heterocycle Reactions)
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37 pages, 2551 KB  
Article
Platform Governance and Digital Sustainability: A Systemic Functional Dependency Perspective
by Keming Chen and Tingting Li
J. Theor. Appl. Electron. Commer. Res. 2026, 21(1), 26; https://doi.org/10.3390/jtaer21010026 - 6 Jan 2026
Viewed by 219
Abstract
The governance of digital platforms is a key factor in sustainable business development. Nevertheless, the specific governance mechanisms through which platforms reconfigure virtual (e-commerce) and physical (logistics) systems, and whether these outcomes are equitable or sustainable, remain insufficiently examined. This research proposes an [...] Read more.
The governance of digital platforms is a key factor in sustainable business development. Nevertheless, the specific governance mechanisms through which platforms reconfigure virtual (e-commerce) and physical (logistics) systems, and whether these outcomes are equitable or sustainable, remain insufficiently examined. This research proposes an analytical framework, Systemic Functional Dependency, to elucidate how platform governance shapes the co-evolution of digital and physical activities in the platform economy. The analysis of China’s platform economy from 2013 to 2022 reveals a governance-induced bifurcation: Core regions build sustainable, synergistic business models (local e-com coef. = 0.204, p < 0.05). In contrast, peripheral regions face structural decoupling, where digital-led growth (22.63% CAGR) vastly outpaces the expansion of physical business capacity (6.46% CAGR). This imbalance, caused by a functional transition (32.21% CAGR in net-work-serving logistics vs. 2.44% in local-serving logistics), led to a structural breakpoint in 2017–2018. The findings advance digital business theory by linking platform governance to asymmetric outcomes. This leads to a functional lock-in for peripheral regions, which is a big problem for sustainability and shows how important it is to have governance frameworks right away. Full article
(This article belongs to the Section Digital Business, Governance, and Sustainability)
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21 pages, 5470 KB  
Article
Structure-Based Virtual Screening and In Silico Evaluation of Marine Algae Metabolites as Potential α-Glucosidase Inhibitors for Antidiabetic Drug Discovery
by Bouchra Rossafi, Oussama Abchir, Fatimazahra Guerguer, Kasim Sakran Abass, Imane Yamari, M’hammed El Kouali, Abdelouahid Samadi and Samir Chtita
Pharmaceuticals 2026, 19(1), 98; https://doi.org/10.3390/ph19010098 - 5 Jan 2026
Viewed by 161
Abstract
Background/Objectives: Diabetes mellitus is a serious global disease characterized by chronic hyperglycemia, resulting from defects in insulin secretion, insulin action, or both. It represents a major health concern affecting millions of people worldwide. This condition can lead to severe complications significantly affecting patients’ [...] Read more.
Background/Objectives: Diabetes mellitus is a serious global disease characterized by chronic hyperglycemia, resulting from defects in insulin secretion, insulin action, or both. It represents a major health concern affecting millions of people worldwide. This condition can lead to severe complications significantly affecting patients’ quality of life. Due to the limitations and side effects of current therapies, the search for safer and more effective antidiabetic agents, particularly from natural sources, has gained considerable attention. This study investigates the antidiabetic potential of seaweed-derived compounds through structure-based virtual screening targeting α-glucosidase. Methods: A library of compounds derived from the Seaweed Metabolite Database was subjected to a hierarchical molecular docking protocol against α-glucosidase. Extra Precision (XP) docking was employed to identify the top-ranked ligands based on their binding affinities. Drug-likeness was assessed according to Lipinski’s Rule of Five, followed by pharmacokinetic and toxicity predictions to evaluate ADMET properties. Density Functional Theory (DFT) calculations were performed to analyze the electronic properties and chemical reactivity of the selected compounds. Furthermore, molecular dynamics simulations were carried out to examine the stability and dynamic behavior of the ligand–enzyme complexes. Results: Following XP docking and ADMET prediction, four promising compounds were selected: Colensolide A, Rhodomelol, Callophycin A, and 7-(2,3-dibromo-4,5-dihydroxybenzyl)-3,7-dihydro-1H-purine-2,6-dione. Molecular dynamics simulations further confirmed the structural stability and strong binding interactions of these compounds within the α-glucosidase active site. Conclusions: This investigation demonstrated the important role of seaweed-derived compounds in inhibiting α-glucosidase activity. Further experimental validation is warranted to confirm their biological activity and therapeutic potential. Full article
(This article belongs to the Section Medicinal Chemistry)
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19 pages, 3007 KB  
Article
Theoretical Study of Correlation Between Substituent Effect in Synthetic Cathinones and Their Cytotoxic Activity
by Natalina Makieieva and Teobald Kupka
Appl. Sci. 2026, 16(1), 526; https://doi.org/10.3390/app16010526 - 5 Jan 2026
Viewed by 101
Abstract
Cathinone and its synthetic derivatives are among the most popular classes of narcotics worldwide. Experimental studies have demonstrated variable cytotoxic activity among these substances. Until now, the research on cathinones has been limited to their psychotropic activity. Therefore, the structure–activity correlation in this [...] Read more.
Cathinone and its synthetic derivatives are among the most popular classes of narcotics worldwide. Experimental studies have demonstrated variable cytotoxic activity among these substances. Until now, the research on cathinones has been limited to their psychotropic activity. Therefore, the structure–activity correlation in this group remains poorly understood. The current study aimed to expand the understanding of the influence of cathinone structural modifications on cytotoxic activity. A group of cathinones whose cytotoxic activity has been experimentally analyzed by a single research group was studied in silico using density functional theory (DFT). A systematic characterization of the substituent effect and the aromaticity changes depending on the polarity of the medium is presented in this paper. A correlation between growing electron-withdrawing properties of the N-end and its carbonyl fragment as well as aromaticity decrease with growing cytotoxic activity were observed. Full article
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15 pages, 3921 KB  
Article
Aging Kinetics and Activation Energy-Based Modeling of Electrical Conductivity Evolution in a Cu–4Ti Alloy
by Guojin Sun, Hong Liu, Yingtang Zhang, Wenbin Wu and Qi Wang
Metals 2026, 16(1), 61; https://doi.org/10.3390/met16010061 - 4 Jan 2026
Viewed by 108
Abstract
The aging behavior and electrical performance evolution of Cu–4Ti alloy were systematically investigated through experimental characterization and theoretical modeling. A series of solution and aging treatments were conducted at temperatures ranging from 450 °C to 600 °C for durations of 1–420 min, with [...] Read more.
The aging behavior and electrical performance evolution of Cu–4Ti alloy were systematically investigated through experimental characterization and theoretical modeling. A series of solution and aging treatments were conducted at temperatures ranging from 450 °C to 600 °C for durations of 1–420 min, with and without 50% cold deformation. Based on solid-state diffusion theory, the activation energy of the aging process was determined using the Arrhenius relationship combined with regression analysis. The calculated activation energies were 298.5 kcal·mol−1 for the solution-treated alloy and 136.1 kcal·mol−1 for the cold-deformed alloy, indicating that deformation-induced lattice defects substantially accelerate atomic diffusion and precipitation kinetics. A predictive model was further established to describe electrical conductivity as a function of aging temperature and time, with high correlation coefficients (R2 = 0.90 for the non-deformed and R2 = 0.89 for the deformed condition). The model accurately captures the conductivity evolution under various heat treatment conditions, demonstrating its strong predictive capability. Moreover, kinetic curves were constructed to intuitively represent the relationship between conductivity, temperature, and time, providing a rapid and visual tool for process optimization. Full article
(This article belongs to the Special Issue Innovations in Heat Treatment of Metallic Materials)
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