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Alcohol-Based Microextraction Of Rhodamine 6g From Soft Drink, Food, And Cosmetic Samples, Mustafa Soylak, Esra Yamaner, Özgür Özalp

Turkish Journal of Chemistry

By using alcohol-based solvent extraction without tetrahydrofuran, a liquid–liquid microextraction technique was developed for the separation–enrichment of trace levels of Rhodamine 6G from complex matrices, including soft drinks, food, cosmetics, hygiene products, and natural waters. Numerous experimental parameters were tuned, including pH, alcohol volume, ultrasonication time, and sample and eluent volume. The enrichment factor (EF), limit of detection (LOD), and limit of quantification (LOQ) were used to assess the analytical performance of the suggested approach. The LOD and LOQ were 6.92 ng mL−1 and 23 ng mL−1, respectively, and the EF was 14. Through the use of the standard addition …

A Nonenzymatic Electrochemical Glucose Sensor Depending On A Ninps/Co3o4/Functionalized Graphene Oxide-Modified Working Electrode, Sümeyra Pekmez, Muhammet Güler

Turkish Journal of Chemistry

In the present research, the aim was to develop a novel electrochemical enzyme-free glucose sensor dependent upon a nickel nanoparticles (NiNPs)/cobalt (II, III) oxide (Co3O4)/carboxylated graphene oxide (GO-COOH)-modified glassy carbon (GC) electrode. The electrocatalytic performance of the electrode was tested using various electrochemical methods such as amperometry and cyclic voltammetry (CV). The NiNPs@Co3O4/GO-COOH/GC electrode showed noticeably superior electrocatalytic behavior for glucose oxidation in 0.1 M NaOH media, ascribed to the good synergistic impact between NiNPs, Co3O4, and GO-COOH. The amperometric response of the NiNPs@Co3O4/GO-COOH/GC electrode to glucose exhibited two linear determination ranges at +0.55 V potential. The first one was …

Synthesis Of Two Hofmann-Type-Like Clathrates, Characterizations, And Investigation Of Their Structures, Spectroscopic And Theoretical Properties, Zari̇fe Si̇bel Şahi̇n, Zeki̇ Kartal

Turkish Journal of Chemistry

This study concerns two Hofmann-type-like clathrates using 4-aminopyridine (4AP) as ligands and the transition metal atoms copper (Cu) and zinc (Zn). These clathrates have the structural features of heteronuclear tetracyanonickelate(II) and contain H2O and 4AP molecules as guest molecules, respectively. These two clathrates were characterized by infrared spectroscopy (IR), elemental analysis, and single crystal X-ray diffraction (SC-XRD) techniques. Based on elemental and spectral data, the structural formulae describing these clathrates were found to be [Cu(II)(4AP)4Ni(μ-CN)2(CN)2]·H2O (1) and [Zn(II)(4AP)4Ni(μ-CN)2(CN)2]·(4AP) (2). In addition, the values of some optical, electronic, and thermochemical properties of the two obtained clathrates calculated with the Gaussian 03 …

Ameliorating Chromium-Induced Stress In Maize Through Phosphorus And Melatonin Application, Zunaira Zafar, Shoaib Ahmad, Muhammad Akhtar, Shafaqat Ali, Sarah Owdah Alomrani, Muhammad Ali Alshehri

Turkish Journal of Agriculture and Forestry

Chromium (Cr+6)  toxicity is a significant environmental stress factor that severely hampers plant growth and productivity. This study aimed to evaluate whether the combined application of phosphorus fertilizer and melatonin could alleviate chromium induced stress in maize  (Zea mays L.).  A foliar spray of melatonin (50 µM) was applied alongside two phosphorus sources—phosphoric acid (PA) and diammonium phosphate (DAP), each at 60% of the recommended rate. Two maize cultivars (FH-1046 and YH-1898) were grown under chromium stress (0, 15, and 30 mg kg–1) to assess treatment effects. The results demonstrated that FH-1046 plants treated with PA + melatonin under noncontaminated …

The Core Microbiome Of Fluvisols From The Vistula River Valley: Relationships Between Bacteria And Basic Soil Properties, Karolina Furtak, Anna Marzec-Grządziel, Jarosław Grządziel, Jacek Niedźwiecki

Turkish Journal of Agriculture and Forestry

Fluvisols develop in river valleys through the accumulation of alluvial sediments. They are characterised by high fertility and are extensively used for agriculture. This study aimed to identify the core microbiome of fluvisols in the Vistula Valley and to examine its relationship with the basic physicochemical properties of the soils. Six types of fluvisol (very light, light, medium, and heavy) from four locations in Lublin province were analysed, with samples collected in 2018 and 2022. The microbiome structure was determined by sequencing the V3–V4 region of the 16S rRNA gene and was compared with soil parameters such as pH, electrical …

Derived Smoke Solution Mitigates Drought Stress In Forage Pea By Enhancing Antioxidant Defense Mechanisms, Medi̇ne Çopur Doğrusöz

Turkish Journal of Agriculture and Forestry

This study was conducted to enhance plant resilience against drought stress, a major threat to agricultural production, by utilizing an eco-friendly application derived from agricultural waste. We investigated the protective effect of a smoke solution, derived from poppy harvest residues, on the biometric and biochemical parameters of two forage pea (Pisum sativum spp. arvense L.) varieties (GAP Pembesi and Özkaynak). Seeds were primed with 1% and 10% smoke solutions and grown under three distinct conditions: normal irrigation (control), moderate drought, and severe drought. Parameters including biometric traits, chlorophyll pigments, secondary metabolites, and antioxidant enzyme activities were analyzed. The smoke solution …

Prediction Of Furniture Exports In Türkiye Using Machine Learning Methods, İlker Akyüz, Nadi̇r Ersen, Ti̇muçi̇n Bardak, Selahatti̇n Bardak

Turkish Journal of Agriculture and Forestry

In this study, it was aimed to predict Türkiye’s furniture exports for the period from January 2010 to May 2025 using machine learning methods based on macroeconomic indicators. The dataset consisted of 10 economic variables, including the furniture industry production index, capacity utilization rate, import volume, total exports, real effective exchange rate, producer price index, money supply, and oil prices, with 185 observations per variable and a total of 2035 data points. During the data preprocessing phase, no missing or outlier values were detected, and the data were divided into 70% training and 30% testing subsets. Decision tree, random forest, …

Ozonated Water Delays The Microbial Growth And Sensory Quality Loss Of Capia Pepper Fruit During Cold Storage, Yasi̇n Şi̇mşek, Mehmet Ali̇ Koyuncu, Derya Erbaş

Turkish Journal of Agriculture and Forestry

The aim of the present research was to evaluate, for the first time, the effect of ozonated water treatments on the postharvest quality of capia pepper (Capsicum annuum L. ‘Kaptan’). The peppers were harvested at the optimum time and transported to the laboratory immediately. Uniform and quality fruit was selected and precooled. After precooling, the fruit was divided into four groups. The first three groups were immersed in ozonated water at three different concentrations (1.0, 2.0 and 3.0 ppm) for 15 min. The last group (control) was immersed in distilled water for 15 min. The peppers were kept at room …

Unveiling Resistance Mechanisms To Fusarium Wilt Through Comparative Transcriptome Analysis Of Cicer Arietinum And Cicer Reticulatum, Özlem Tuna, Yasi̇n Kaymaz, Talap Talapov, Canan Can, Muhammed Bahatti̇n Tanyolaç, Duygu Ateş

Turkish Journal of Agriculture and Forestry

Developing resistant chickpea cultivars is essential for managing Fusarium wilt caused by Fusarium oxysporum, a major pathogen responsible for substatial yield losses. In this study, we conducted RNA-seq–based transcriptome analysis to characterize gene expression changes in resistant and susceptible genotypes of Cicer arietinum L. and C. reticulatum following inoculation with Fusarium oxysporum f. sp. ciceris race 0. Susceptible genotypes exhibited markedly higher numbers of differentially expressed genes compared with resistant genotypes. Defense-related genes were induced in all plants upon infection; however, resistant genotypes specifically upregulated genes functioning in the apoplast or extracellular region while downregulating intracellular processes—a pattern not observed …

Plant Extract-Enriched Mineral Beverages: Effects Of Temperature And Ultrasound Processing On Bioactive Content, Eli̇f Feyza Topdaş, İsa Arslan Karakütük, Memnune Şengül

Turkish Journal of Agriculture and Forestry

Functional beverages derived from herbal extracts have potential health benefits. There is a growing interest in these beverages because they are a sustainable and health-promoting alternative to conventional flavored drinks. This study aimed to produce phenolic rich mineralized herbal beverages using lyophilized purple basil, lavender, and thyme extracts at two different concentrations (2% and 4%). Changes in the physicochemical properties (pH, electrical conductivity, color, and viscosity), total phenolic content (TPC), total flavonoid content (TFC), total antioxidant capacity (2,2-diphenyl-1-picrylhydrazyl (DPPH) and 2,2’-Azino-bis(3-ethylbenzothiazoline 6-sulfonic acid (ABTS) radical scavenging assays), and individual phenolic compounds were determined for beverages stored at 4, 25, and …

Ecological Risk Assessment Of Heavy Metal-Microplastic Interactions In Agricultural Soils Irrigated With Secondary Treated Wastewater, Senar Aydin, Osman Mücevher, Arzu Ulvi̇, Fatma Bedük, Özen Merken, Ci̇han Uzun, Mehmet Emi̇n Aydin

Turkish Journal of Agriculture and Forestry

The increased reuse of treated wastewater (TWW) for irrigation in arid and semiarid regions raises environmental concerns regarding microplastics (MPs), specifically their capacity to adsorb and transport heavy metals. This study assesses the quantity of MPs and associated metals (Cd, Cr, Cu, Pb, Ni, and Co) in agricultural soils irrigated with TWW in the Konya region of Türkiye. To this end, a total of 202 soil samples were collected from TWW-irrigated (180) and nonirrigated control fields (22) at two depths (0–10 and 10–20 cm). MPs were extracted from the samples using a density separation technique, identified microscopically, and analyzed for …

Influence Of Crop Diversification On Climate Change Mitigation And Business Profitability: A Study Of The Southern Marmara Region, Türkiye, Engi̇n Tolga Önder, Nuray Demi̇r

Turkish Journal of Agriculture and Forestry

Crop diversification strategies are being put forward to mitigate the negative effects of climate change associated with greenhouse gas emissions, and thus to ensure sustainable food production that is resilient to climate change and to reduce the risks faced by producers. By diversifying their agricultural products producers can insure themselves against the risks associated with climate variations, disease, and pests, contributing to both continuous food production and income flow. The present study investigates the effect of climate change on enterprise income in the Yenişehir district of Bursa province – a region noted for its intensive production of vegetables and other …

Effects Of Fenugreek And Shatavari On Vasomotor And Hormonal Balance In Ovariectomized Rats, Füsun Erten, Beşi̇r Er, Cemal Orhan, Abhijeet A. Morde, Muralidhara Padigaru, Kazi̇m Şahi̇n

Turkish Journal of Agriculture and Forestry

Trigonella foenum-graecum L. (fenugreek, TFG) and Asparagus racemosus Willd. (shatavari, AR) have been extensively used in Ayurvedic, Unani, and traditional folk medicine to support women’s health. TFG seeds are traditionally employed as galactagogues and hormonal modulators, while AR roots are valued as rejuvenating tonics with phytoestrogenic activity, prescribed for menopausal complaints and reproductive well-being. Both plants also exhibit antioxidant and hepatoprotective effects, suggesting their potential as safe, nonhormonal alternatives to conventional hormone replacement therapy. This study investigated the dose-dependent effects of TFG and AR, administered individually or in combination, on vasomotor symptoms, hormonal balance, oxidative stress, and neuroendocrine markers in …

Physically Mixed Graphene Aerogel:Carbon Black (Ga:Cb)-Supported Pt Or Hydrothermally Synthesized Ga-Pt/Cb Hybrid Electrocatalysts For Pem Fuel Cells, Emi̇ne Teke Öner, Meli̇s Irmak Aydin, Merve Ni̇da Dursunoğlu, Ayşe Bayrakçeken

Turkish Journal of Chemistry

Graphene aerogels (GAs), having the superior properties of graphene and aerogel structures, are promising support materials for Pt nanoparticles to be used as electrocatalysts for PEM fuel cells. In this study, two routes were followed to synthesize GA-based electrocatalysts. In the first route, after GA synthesis it was physically mixed with carbon black (CB) by changing the mass ratios from 0% to 100% with 25% increments and then decorated with Pt nanoparticles via microwave irradiation, resulting in Pt/GA:CB electrocatalysts. In the second route, firstly, Pt/CB electrocatalyst was synthesized and then GA was hydrothermally added to the Pt/CB by changing the …

Comparison Of Ultrasound-Guided Serratus Posterior Superior Intercostal Plane Block And Thoracic Paravertebral Block For Postoperative Analgesia After Breast Surgery: A Prospective Randomized Noninferiority Trial, Mustafa Sirri Kotanoğlu, Musa Zengi̇n, Onur Küçük, Atakan Sezgi̇, İbrahi̇m Topcu, Aras Meti̇n, Zeynep Ersoy, Jüli̇de Ergi̇l

Turkish Journal of Medical Sciences

Background/aim: This noninferiority trial aimed to evaluate whether the serratus posterior superior intercostal plane block (SPSIPB) provides noninferior postoperative analgesia compared with the thoracic paravertebral block (TPVB) after unilateral mastectomy.

Materials and methods: This prospective, randomized, assessor-blinded, parallel-group noninferiority trial enrolled 60 female patients scheduled for elective unilateral mastectomy. Patients received either ultrasound-guided SPSIPB (n = 30) or TPVB (n = 30) with 30 mL of 0.25% bupivacaine before induction. The primary outcome was visual analogue scale (VAS) pain scores (0–100 mm) at rest and during coughing over 24 h. Noninferiority was assessed using the Hodges–Lehmann median difference with 95% …

Comprehensive Geriatric Assessment Identifies Multidimensional Vulnerabilities In Older Adults With Heart Failure, Ci̇han Kiliç, Rengi̇n Demi̇r, Özlem Yilmaz Aykent, Zerri̇n Yi̇ği̇t, Pinar Küçükdağli, Banu Özulu Türkmen, Güli̇stan Bahat, Mehmet Aki̇f Karan

Turkish Journal of Medical Sciences

Background/aim: Heart failure (HF) in older adults is frequently accompanied by geriatric syndromes that remain unrecognized in conventional cardiac evaluations. The vulnerabilities of older adults with and without HF in terms of muscle strength, physical performance, functional capacity, frailty, nutritional status, cognition, mood, anxiety, polypharmacy, and comorbidity were investigated using comprehensive geriatric assessment (CGA).

Materials and methods: A cross-sectional study was conducted in two academic outpatient clinics, enrolling 420 adults aged ≥60 years, including 92 (21.9%) with HF. Data included sociodemographic characteristics, anthropometric measurements, and CGA parameters: handgrip strength, the Five-Times Sit-to-Stand Test (FTSST), the Short Physical Performance Battery (SPPB), …

Timing Of Kirschner Wire Removal In Pediatric Supracondylar Humerus Fractures: Is Early Removal A Safe And Effective Option?, Mustafa Kemal Yeni̇dünya, Si̇nan Yüksel, İbrahi̇m Faruk Adigüzel, Serhat Di̇nç, Önder Ersan

Turkish Journal of Medical Sciences

Background/aim: The optimal timing of Kirschner wire removal following the surgical treatment of pediatric supracondylar humerus fractures remains controversial. This study aimed to compare the clinical and radiographic outcomes of early versus late K-wire removal and to contribute to the standardization of the timing of pin removal in pediatric patients.

Materials and methods: This retrospective study included 90 pediatric patients (aged 4–14 years) treated with closed reduction and percutaneous pinning for Gartland type III and IV supracondylar humerus fractures. Patients were grouped according to the timing of pin removal as early (postoperative days 21–28, n = 40) or late (after …

Clinical, Hormonal, And Treatment Outcomes In 247 Patients With Acromegaly: A Single Tertiary Center Experience, Ümran Gül, Beki̇r Uçan, Hayri̇ Bostan, Hakan Düğer, Hayri̇ Kertmen, Caner Ünlüer, Hali̇l Durantaş, Oğulcan Boz, Ceren Karaçalik Ünver, Burak Menekşe, Sema Hepşen, İlknur Öztürk Ünsal, Mustafa Özbek, Erman Çakal, Muhammed Kizilgül

Turkish Journal of Medical Sciences

Background/aim: This study aimed to evaluate the demographic, clinical, and hormonal characteristics; comorbidities; surgical pathology; treatment modalities; and long-term clinical outcomes of patients diagnosed with and managed for acromegaly at our tertiary referral center over a 15-year period.

Materials and methods: Between 2010 and 2024, 247 patients with acromegaly were evaluated. Diagnosis and biochemical remission were determined according to the 2024 Acromegaly Consensus Criteria.

Results: The median follow-up duration was 8 years (IQR: 3–14). At the time of diagnosis, the most frequent pituitary hormone deficiency was secondary adrenal insufficiency, present in 17.8% of patients. The most common comorbidities were hypertension …

Local Integrals Generating Exact Integrals Of Motion In Three-Dimensional Potential Fields: Part I, Fazliddin Shamshiev

Turkish Journal of Physics

The problem of identifying additional local integrals of motion in generic three-dimensional potentials remains a fundamental issue in dynamical systems and galactic dynamics, since most realistic gravitational fields lack global symmetries or separable coordinate systems. In this study, we propose a general constructive method for deriving such local integrals by introducing auxiliary functions whose gradients define an orthogonal frame adapted to the potential. The central idea is that the velocity field can be characterized by two quadratic algebraic relations whose compatibility conditions uniquely determine the orthogonal frame and ensure the existence of two additional isolating integrals. Our main results include: …

Preliminary Population Genetic Analysis Of 12 X-Str Loci In A Sample From Türkiye: Allele Frequencies, Haplotype Diversity, And Linkage Disequilibrium​, Hizir Asliyüksek, Esra Güzel Tanoğlu, Abdulkadi̇r Can, Muhammed Fevzi̇ Esen, Yusuf Atan

Turkish Journal of Medical Sciences

Background/aim: X-chromosomal short tandem repeats (X-STRs) are informative genetic markers in kinship testing and specific forensic contexts, particularly when standard autosomal approaches are less informative. This study aimed to provide preliminary allele frequency, haplotype diversity, and linkage disequilibrium (LD) data for 12 X-STR loci in a sample from Türkiye.

Materials and methods: A total of 136 unrelated individuals from Türkiye were genotyped for 12 X-STR loci. Inferential analyses of X-linked loci require diploid genotypes; therefore, allele frequencies, Hardy–Weinberg equilibrium (HWE), LD, and regional comparisons were based primarily on female samples (n = 115), whereas male haplotypes (n = 21) were …

Effects Of Repetitive Peripheral Magnetic Stimulation On Poststroke Ankle Spasticity: A Double-Blind Randomized Controlled Trial, Hüseyi̇n Oğuzhan Aslantaş, Şehi̇m Kutlay, Haydar Gök, Semra Özkan, Seçi̇lay Güneş, Ati̇lla Hali̇l Elhan

Turkish Journal of Medical Sciences

Background/aim: Repetitive peripheral magnetic stimulation (rPMS) is a noninvasive, painless therapy aimed at improving spasticity, with a proposed mechanism that involves neuromodulation through somatosensory and proprioceptive afferent stimulation. The present study evaluates the effectiveness of rPMS on ankle plantar flexor spasticity in participants with stroke.

Materials and methods: Included in this prospective, double-blind, randomized, sham-controlled study were 50 participants with poststroke ankle plantar flexor spasticity graded 1–3 according to Modified Ashworth Scale (MAS). Participants were randomized into rPMS (n = 25) and sham (n = 25) groups. All participated in a conventional rehabilitation program, while the rPMS group received 10 …

Serum Angiopoietin-1 And Angiopoietin-2 Levels In Turkish Patients With Behçet’S Disease: Associations With Clinical Manifestations And Inflammatory Markers, Sercan Gücenmez, Hakan Emmungi̇l, Fi̇gen Yargucu Zi̇hni̇, Gökhan Keser, Kenan Aksu

Turkish Journal of Medical Sciences

Background/aim: Emerging evidence suggests that dysregulated angiogenesis may contribute to the pathogenesis of Behçet’s disease (BD). This study primarily aimed to investigate serum angiopoietin-1 (Ang-1) and angiopoietin-2 (Ang-2) levels in Turkish patients with BD and compare them with healthy controls. The secondary aims were to compare angiopoietin levels based on clinical manifestations, disease activity, and medication use and to investigate their correlations with age, disease duration, and inflammatory markers.

Materials and methods: This cross-sectional study included 56 consecutive patients with BD, diagnosed according to International Study Group criteria, and 56 age- and sex-matched healthy controls. Physical characteristics, clinical manifestations, time …

Impact Of Transforaminal Epidural Steroid Injection On Pain, Disability, And Kinesiophobia In Lumbar Disc Herniation With Radicular Pain, Hande Ece Öz, Rumeysa Çeti̇nkaya Bulutoğlu, Furkan Çeti̇n, Ezgi̇ Can, Alp Eren Çelenli̇oğlu, Ender Si̇r

Turkish Journal of Medical Sciences

Background/aim: The aim was to evaluate the effect of single-level transforaminal epidural steroid injection (TFESI) on kinesiophobia (KP) in patients with lumbar radicular pain (RP) caused by single-root, single-level lumbar disc herniation (LDH).

Materials and methods: A total of 63 patients diagnosed with unilateral single-level radicular pain due to LDH and treated with single-level TFESI were included. The Numeric Rating Scale (NRS), modified Oswestry Disability Index (MODI), Tampa Scale of Kinesiophobia (TSK), and Neuropathic pain (NP)-Douleur Neuropathique 4 Questionnaire (DN4) were used before the procedure and at 3 weeks and 3 months postoperatively.

Results: At baseline, 76.19% (n = 48) …

Reliability And Validity Of The Turkish Version Of The Barthel Index-Dyspnea In Patients With Pulmonary Hypertension, Pinar Merç, Rengi̇n Demi̇r, Meli̇h Zeren, Habi̇be Durdu, Ümi̇t Yaşar Si̇nan, Mehmet Serdar Küçükoğlu

Turkish Journal of Medical Sciences

Background/aim: The Barthel Index-dyspnea (BI-d) is a respiratory disease-specific tool developed on the basis of the Barthel Index (BI), which provides a simple and quick way to measure the degree of dyspnea in activities of daily living (ADL). Dyspnea is one of the most common symptoms of pulmonary hypertension (PH). The objective of this study was to explore the reliability and validity of the Turkish version of the BI-d in patients with PH.

Materials and methods: A total of 73 PH patients were included in the study. Criterion validity was explored using the modified Medical Research Council (mMRC) dyspnea scale, …

Optimistic And Ambivalent Attitudes Toward Clinical Artificial Intelligence, Sevi̇l Uygun İli̇khan, Si̇nem Ülke, Mahmut Özer, Matjaž Perc, Yavuz Ayhan

Turkish Journal of Medical Sciences

Background/aim: Artificial intelligence (AI) is increasingly being integrated into healthcare systems; however, healthcare professionals’ knowledge, attitudes, and perceptions regarding AI remain insufficiently understood. This study aimed to evaluate healthcare professionals’ perceptions of AI in clinical practice.

Materials and methods: This descriptive cross-sectional study included 260 healthcare professionals, including physicians, nurses, and healthcare technicians working at a tertiary public hospital in Türkiye. Participants completed the Healthcare Professionals and Artificial Intelligence Questionnaire, which assessed demographic characteristics, AI knowledge, workplace AI use, attitudes toward AI applications, ethical and legal concerns, perceived professional impact, and educational needs.

Results: Most participants reported limited AI knowledge; …

Letter To The Editor: Telemedicine Versus Conventional Care For Nonspecific Neck Pain: A Randomized Controlled Study, Gülsemi̇n Ertürk Çeli̇k

Turkish Journal of Medical Sciences

No abstract provided.

Cover And Contents

Turkish Journal of Physics

No abstract provided.

Direct Minimization Of Hartree-Fock-Roothaan Energy Functionals Using Derivative-Free Optimization Algorithms: A Case Study On The Use Of Noninteger Slater-Type Orbitals, Ali̇ Bağci

Turkish Journal of Physics

This study presents an evaluation of derivative-free optimization algorithms for the direct minimization of Hartree−Fock−Roothaan energy functionals involving nonlinear orbital parameters and noninteger-order quantum numbers. The analysis focuses on atomic calculations employing noninteger Slater-type orbitals. Analytic derivatives of the energy functional are not readily available for these orbitals. Four methods are investigated under identical numerical conditions: Powell’s conjugate−direction method, the Nelder−Mead simplex algorithm, coordinate-based pattern search, and a model-based algorithm utilizing radial basis functions for surrogate-model construction. Performance analysis is first carried out using the Powell singular function, a well-established test case exhibiting challenging properties, including Hessian singularity at the …

Analytical Eigenmode Framework For Triplet-Mediated Fluorescence Dynamics Under Pulsed Excitation, Bariş Demi̇rbay

Turkish Journal of Physics

An exact analytical solution to a three-state photophysical model is presented to explicitly map the time-resolved fluorescence dynamics of a fluorophore under pulsed excitation. As distinct from earlier analytical treatments that primarily focused on transient absorption and total ground-state depletion, the proposed eigenvalue-eigenvector framework captures both transient and steady-state emission responses. The photophysical model accounts for electronic transitions between the singlet ground state, the excited singlet state and a long-lived triplet state, enabling a treatment of excitation, radiative decay, intersystem crossing, together with triplet-state relaxation. By diagonalizing the rate matrix consisting of phenomenological transition rates, closed-form expressions for the time-dependent …

Coupling A Discrete State To A Quasi-Continuum: A Model Quantum-Mechanical System That Interpolates Between Rabi Oscillations And Decay-Revival Dynamics, Enes Kutay İşgörür, Osman Cevheroğlu, Arkadaş Özakin

Turkish Journal of Physics

We formulate a quantum-mechanical system consisting of a single discrete state coupled to an infinite ladder of equally spaced states, with the coupling described by a Lorentzian profile. Various limiting cases of this system correspond to well-known models in quantum optics: the narrow-resonance limit yields the Rabi model, the wide-resonance limit yields the Bixon--Jortner model, the wide-resonance true continuum limit yields the Wigner--Weisskopf model, and the fixed-resonance true continuum limit yields a system typically studied using methods developed by Fano. We obtain a semianalytical solution to the eigenvalue problem by reducing it to a transcendental equation and demonstrate the limiting …