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24 pages, 4310 KiB  
Article
Fractal Characteristics of Pore Throat and Throat of Tight Sandstone Sweet Spot: A Case Study in the East China Sea Basin
by Wenguang Wang, Chengyan Lin and Xianguo Zhang
Fractal Fract. 2024, 8(12), 684; https://doi.org/10.3390/fractalfract8120684 - 22 Nov 2024
Viewed by 284
Abstract
The study of the fractal characteristics of the pore throat radius (PTR) and throat radius of sweet spots is crucial for the exploration and development of tight gas sandstone. This study used conventional core analysis, X-ray diffraction analysis, scanning electron microscopy (SEM), and [...] Read more.
The study of the fractal characteristics of the pore throat radius (PTR) and throat radius of sweet spots is crucial for the exploration and development of tight gas sandstone. This study used conventional core analysis, X-ray diffraction analysis, scanning electron microscopy (SEM), and constant-rate mercury injection experiment (CRMI), high-pressure mercury injection experiment (HPMI), and nuclear magnetic resonance (NMR) techniques to investigate the fractal characteristics of the PTR and throat radius of the tight sandstone sweet spots of the Huagang Formation in the central uplift belt of the East China Sea Basin. Based on conventional core analysis and SEM, the main pore types of the tight sandstone samples in the Huagang Formation were determined to be intergranular dissolved pore, intragranular dissolved pore, intergranular pore, and moldic pore. HPMI and NMR techniques were used to evaluate the full-size PTR distribution of type I (TI), type II (TII), and type III (TIII) sweet spots. Based on fractal theory, CRMI was used to calculate the fractal dimension of the PTR and throat radius of three types of sweet spots, and the relationship between the fractal dimensions and pore throat structure parameters and mineral composition were investigated. The results showed that the full-size PTR distribution curve exhibited bimodal or unimodal characteristics. The peak values of the PTR distribution of the TI, TII, and TIII sweet spots were mainly concentrated at 0.002–22.5 μm, 0.001–2.5 μm, and 0.0004–0.9 μm, respectively. The fractal dimensions of the PTR and throat radius were calculated. The average throat radius fractal dimensions of the TI, TIII, and TIII sweet spots were 2.925, 2.875, and 2.786, respectively. The average PTR fractal dimensions of the TI, TII, and TIII sweet spots were 2.677, 2.684, and 2.702, respectively. The throat radius fractal dimension of the TI, TII, and TIII sweet spots was positively correlated with mercury saturation, average throat radius, feldspar content, and clay mineral content and negatively correlated with displacement pressure, quartz content, and carbonate cement content. The PTR fractal dimension of the TI, TII, and TIII sweet spots was positively correlated with displacement pressure, quartz content, and carbonate cement content and negatively correlated with feldspar content. The throat size of the TI sweet spot was large, and the heterogeneity of the throat was strong. The PTR heterogeneity of the TI sweet spot was lower than that of the TII and TIII sweet spots. The findings of this study can provide important guidance for the exploration and development of tight gas sandstone. Full article
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Figure 1
<p>(<b>a</b>) Location of the East China Sea Basin [<a href="#B30-fractalfract-08-00684" class="html-bibr">30</a>]. (<b>b</b>) Location of Xihu Depression. (<b>c</b>) Tectonic unit division of the Xihu Depression and the location of A gas field (modified from [<a href="#B31-fractalfract-08-00684" class="html-bibr">31</a>]). (<b>d</b>) A gas field.</p>
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<p>(<b>a</b>) Distribution of PTR and cumulative mercury saturation before and after HPMI interpolation. (<b>b</b>) Conversion from T<sub>2</sub> NMR spectrum distribution curve to PTR distribution curve.</p>
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<p>(<b>a</b>) Ternary plot of rock types in the H4 and H5 members of A gas field in East China Sea Basin [<a href="#B37-fractalfract-08-00684" class="html-bibr">37</a>]. (<b>b</b>) Histogram of clay mineral composition.</p>
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<p>Typical pore types of tight sandstone of the H4 and H5 members in the A gas field. (<b>a</b>) SEM image showing chlorite coat, quartz overgrowth, authigenic illite, and intergranular pores. (<b>b</b>) SEM image showing authigenic illite, authigenic quartz crystals, and intergranular pores. (<b>c</b>) SEM image showing dissolution of debris, intergranular dissolved pores, chlorite coat, and authigenic illite. (<b>d</b>) SEM image showing dissolution of debris, intergranular dissolved pores, chlorite coat, and authigenic illite. (<b>e</b>) SEM image showing dissolution of feldspar, intragranular dissolved pores, and a small amount of authigenic illite. (<b>f</b>) SEM image showing moldic pores and a small amount of authigenic illite.</p>
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<p>Typical CRMI curve. (<b>a</b>–<b>c</b>) TI sandstone sweet spot samples. (<b>d</b>) TII sandstone sweet spot sample. (<b>e</b>,<b>f</b>) TIII sandstone sweet spot samples.</p>
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<p>(<b>a</b>) Distribution of throat radius. (<b>b</b>) Relationship between average throat radius and permeability.</p>
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<p>(<b>a</b>) Typical high-pressure mercury injection experiment curves. (<b>b</b>) The characteristics of pore radius of high-pressure mercury injection experiment.</p>
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<p>NMR T<sub>2</sub> spectrum of completely saturated water samples.</p>
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<p>NMR T<sub>2</sub> spectrum of sample # 1 before and after centrifugation.</p>
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<p>(<b>a</b>) Fitting parameters of NMR T<sub>2</sub> spectrum and PTR for sample # 1 sandstone sample. (<b>b</b>) Comparison between PTR distribution converted from NMR T<sub>2</sub> spectrum of sample # 1 sandstone sample and the HPMI measurement value.</p>
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<p>Full-size PTR distribution of tight sandstone in the A gas field of the East China Sea Basin.</p>
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<p>(<b>a</b>) Relationship between lg(1 − S<sub>Hg</sub>) and lg(r) of the pores of TI sweet spot. (<b>b</b>) Relationship between lg(1 − S<sub>Hg</sub>) and lg(r) of the pores of TII sweet spot.</p>
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<p>Relationship between lg(1 − S<sub>Hg</sub>) and lg(r). (<b>a</b>) TI sweet spot throat radius. (<b>b</b>) TI sweet spot PTR. (<b>c</b>) TII sweet spot throat radius. (<b>d</b>) TII sweet spot PTR.</p>
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<p>Relationship between throat radius fractal dimension (Dt), PTR fractal dimension (Dp), and pore throat structure parameters. (<b>a</b>) Relationship between fractal dimension Dt and mercury saturation. (<b>b</b>) Relationship between fractal dimension Dp and mercury saturation. (<b>c</b>) Relationship between fractal dimension Dt and displacement pressure. (<b>d</b>) Relationship between fractal dimension Dp and displacement pressure. (<b>e</b>) Relationship between fractal dimension Dt and average throat radius. (<b>f</b>) Relationship between fractal dimension Dp and average throat radius.</p>
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<p>(<b>a</b>) Relationship between throat radius fractal dimensions (Dt) and quartz. (<b>b</b>) Relationship between PTR fractal dimensions (Dp) and quartz. (<b>c</b>) Relationship between fractal dimensions Dt and feldspar. (<b>d</b>) Relationship between fractal dimensions Dp and feldspar. (<b>e</b>) Relationship between fractal dimensions Dt and carbonate cement. (<b>f</b>) Relationship between fractal dimensions Dp and carbonate cement.</p>
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<p>(<b>a</b>) Relationship between fractal dimension Dt and clay minerals. (<b>b</b>) Relationship between fractal dimension Dp and clay minerals.</p>
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12 pages, 1342 KiB  
Article
Diffraction Losses in a Stack of Diamond X-Ray Lenses
by Nataliya Klimova and Anatoly Snigirev
Photonics 2024, 11(12), 1097; https://doi.org/10.3390/photonics11121097 - 21 Nov 2024
Viewed by 312
Abstract
Compound refractive lenses, crafted from single-crystal materials like diamond and silicon, are increasingly favored, particularly in cutting-edge facilities, such as free electron lasers and fourth-generation synchrotrons. These lenses are prized for their low parasitic scattering and resistance to significant radiation doses over extended [...] Read more.
Compound refractive lenses, crafted from single-crystal materials like diamond and silicon, are increasingly favored, particularly in cutting-edge facilities, such as free electron lasers and fourth-generation synchrotrons. These lenses are prized for their low parasitic scattering and resistance to significant radiation doses over extended periods. However, they do encounter a notable drawback known as the “glitch effect”, wherein undesired diffraction can occur across various X-ray energies. This phenomenon leads to a decrease in transmitted intensity, impacting experiments, particularly in spectroscopy. Typically, a series of lenses is employed to achieve optimal beam parameters, and each lens has its own spectrum of glitches. This paper presents experimentally measured glitches in stacks of 1, 4, 8, and 16 diamond compound refractive lenses, elucidating the theory behind glitch formation and offering strategies to predict and mitigate glitches in diverse focusing systems employing lenses made from single-crystal materials. Full article
(This article belongs to the Special Issue Advances in X-ray Optics for High-Resolution Imaging)
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Figure 1
<p>The schematic representation of the reciprocal space of a cubic crystal: the dots representing the RLPs, the smaller and larger Ewald spheres correspond to the beginning (<span class="html-italic">E</span><sub>1</sub>) and end (<span class="html-italic">E</span><sub>2</sub>) of the scanning range. The centers of both spheres lie along the line (green) defined by the direction of the radiation incident on the crystal (<b><span class="html-italic">e</span><sub>0</sub></b>). This direction forms angles ω and ϕ with respect to the crystalline direction [001]. The red RLPs, located between the two Ewald spheres, are the ones that will be excited during the energy scan and produce glitches in the resulting spectrum.</p>
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<p>The schematic view of the experiment: the radiation from the bending magnet is monochromatized, and the intensity is measured before the stack of the lenses (I0) and after (I1) by two ion chambers. Gray arrows represent the [001] lattice orientation of each lens; the arrows form angles ω (in the plane) and ϕ (out of plane) with the transmitted beam (red).</p>
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<p>Portions of the normalized measured spectra (blue curves) for stacks containing (<b>a</b>) one, (<b>b</b>) four, (<b>c</b>) eight, and (<b>d</b>) sixteen individual 2D half-lenses made from single-crystal diamond. The predicted glitches for each lens are shown as dots with the corresponding Miller indexes. In the first plot, the identified glitches are indicated by vertical green lines.</p>
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15 pages, 4009 KiB  
Article
Nanostructure-Dependent Electrical Conductivity Model Within the Framework of the Generalized Effective Medium Theory Applied to Poly(3-hexyl)thiophene Thin Films
by Henryk Bednarski, Ayman A. A. Ismail, Marcin Godzierz, Andrzej Marcinkowski, Muhammad Raheel Khan, Bożena Jarząbek, Barbara Hajduk and Pallavi Kumari
Polymers 2024, 16(22), 3227; https://doi.org/10.3390/polym16223227 - 20 Nov 2024
Viewed by 392
Abstract
One of the key parameters characterizing the microstructure of a layer is its degree of order. It can be determined from optical studies or X-ray diffraction. However, both of these methods applied to the same layer may give different results because, for example, [...] Read more.
One of the key parameters characterizing the microstructure of a layer is its degree of order. It can be determined from optical studies or X-ray diffraction. However, both of these methods applied to the same layer may give different results because, for example, aggregates may contribute to the amorphous background in XRD studies, while in optical studies, they may already show order. Because we are usually interested in the optical and/or electrical properties of the layers, which in turn are closely related to their dielectric properties, determining the optical order of the layers is particularly important. In this work, the microstructure, optical properties and electrical conductivity of poly(3-hexyl)thiophene layers were investigated, and a model describing the electrical conductivity of these layers was proposed. The model is based on the generalized theory of the effective medium and uses the equation from the percolation theory of electrical conductivity for the effective medium of a mixture of two materials. The results indicate a key role of the aggregate size and limited conductivity of charge carriers, mainly due to structural imperfections that manifest themselves as an increase in the number of localized states visible in the subgap absorption near the optical absorption edge. The critical value of the order parameter and the corresponding values of the Urbach energy, excitonic linewidth and band gap energy are determined. Full article
(This article belongs to the Special Issue Polymer Thin Films: Synthesis, Characterization and Applications)
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Graphical abstract
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<p>XRD patterns of P3HT thin films deposited from 20 mg/mL solution concentration with indicated spin-coating rates.</p>
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<p>XRD patterns of P3HT thin films deposited from 40 mg/mL solution concentration with indicated spin-coating rates.</p>
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<p>The neat area of (100) peak as a function spin-coating rate for P3HT thin films deposited from 20 and 40 mg/mL solution concentration.</p>
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<p>Three-dimensional surface AFM images of P3HT films deposited with spin-coating rates: (<b>a</b>) 750 rpm from 20 mg/mL solution; (<b>b</b>) 4500 rpm from 20 mg/mL solution; (<b>c</b>) 1250 rpm from 40 mg/mL solution; (<b>d</b>) 7000 rpm from 40 mg/mL solution.</p>
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<p>Thickness of the films determined in AFM and ellipsometry studies as a function of ω<sup>−1/2</sup>.</p>
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<p>Example analysis of the absorption spectrum for a 342 nm thick layer to determine the values of (<b>a</b>) the band gap energy Eg; (<b>b</b>) the Urbach energy Eu.</p>
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<p>Dependences of (<b>a</b>) the energy gap Eg; (<b>b</b>) the Urbach energy Eu on the spin-coating rate.</p>
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<p>The band gap energy Eg is a function of the Urbach energy Eu.</p>
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<p>Example analysis of the absorption spectrum for a 342 nm thick P3HT film to determine the values of the exciton bandwidth W and the exciton linewidth σ.</p>
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<p>Dependences of the exciton linewidth σ. on the Urbach energy.</p>
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<p>Band gap energy as a function of the exciton linewidth s.</p>
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<p>Conductivity of P3HT films as a function of the order parameter.</p>
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9 pages, 5081 KiB  
Article
Pressure-Induced Structural Phase Transition and Fluorescence Enhancement of Double Perovskite Material Cs2NaHoCl6
by Tingting Yan, Linan Liu, Dongyang Xi, Lei Sun, Dinghan Jin and Han Li
Crystals 2024, 14(11), 1006; https://doi.org/10.3390/cryst14111006 - 20 Nov 2024
Viewed by 328
Abstract
Cs2NaHoCl6, a double perovskite material, has demonstrated extensive application potential in the fields of anti-counterfeiting and optoelectronics. The synthesis of Cs2NaHoCl6 crystals was achieved using a hydrothermal method, followed by the determination of their crystal structures [...] Read more.
Cs2NaHoCl6, a double perovskite material, has demonstrated extensive application potential in the fields of anti-counterfeiting and optoelectronics. The synthesis of Cs2NaHoCl6 crystals was achieved using a hydrothermal method, followed by the determination of their crystal structures through single crystal X-ray diffraction techniques. The material exhibits bright red fluorescence when exposed to ultraviolet light, confirming its excellent optical properties. An in situ high-pressure fluorescence experiment was conducted on Cs2NaHoCl6 up to 10 GPa at room temperature. The results indicate that the material possibly undergoes a structural phase transition within the pressure range of 6.9–7.9 GPa, which is accompanied by a significant enhancement in fluorescence. Geometric optimization based on density functional theory (DFT) revealed a significant decrease in the bond lengths and crystal volumes of Ho-Cl and Na-Cl across the predicted phase transition range. Furthermore, it was observed that the bond lengths of Na-Cl and Ho-Cl reach an equivalent state within this phase transition interval. The alteration in bond length may modify the local crystal field strength surrounding Ho3+, consequently affecting its electronic transition energy levels. This could be the primary factor contributing to the structural phase transition. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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<p>Rietveld refinement of the experimental XRD pattern of synthesized Cs<sub>2</sub>NaHoCl<sub>6</sub>.</p>
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<p>SEM images of Cs<sub>2</sub>NaHoCl<sub>6</sub>.</p>
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<p>(<b>a</b>) Crystal structure of Cs<sub>2</sub>NaHoCl<sub>6</sub>; (<b>b</b>) Coordination of cesium ions in the unit cell.</p>
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<p>(<b>a</b>) High-pressure fluorescence spectra of Cs<sub>2</sub>NaHoCl<sub>6</sub> in the range of 640 to 740 nm (<b>b</b>) High-pressure fluorescence spectra of Cs<sub>2</sub>NaHoCl<sub>6</sub> in the range of 900 to 1100 nm. The pressure dependence of the fluorescence peak positions of Cs<sub>2</sub>NaHoCl<sub>6</sub> in the range of 645~690 nm (<b>c</b>) and 945~1030 nm (<b>d</b>).</p>
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<p>(<b>a</b>–<b>c</b>) The fluorescence emission intensity in the range of 640 to 700 nm under different pressures as pressure increases. (<b>d</b>) Pressure dependence of PL peak intensity of Cs<sub>2</sub>NaHoCl<sub>6</sub>.</p>
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<p>(<b>a</b>) CIE chromaticity coordinates of Cs<sub>2</sub>NaHoCl<sub>6</sub>; the illustrations present images of the sample captured under natural light and 365 nm UV illumination. (<b>b</b>) The Cl-Cs-Cl bond angle, controlled by the Ho-Cl and Na-Cl bonds, respectively, changes under pressure. (<b>c</b>) Pressure dependence of Na-Cl and Ho-Cl bond lengths. (<b>d</b>) Pressure dependence of the lattice volume of Cs<sub>2</sub>NaHoCl<sub>6</sub>.</p>
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15 pages, 5563 KiB  
Article
Design, Synthesis and Crystal Structure of a Novel Fluorescence Probe for Zn2+ Based on Pyrano[3,2-c] Carbazole
by Ziyin Xie, Qingwen Fang, Shuzhen Xiao, Jie Wang, Ping Lin, Chunmei Guo, Huihua Cao, Zhongping Yin, Lihong Dong and Dayong Peng
Molecules 2024, 29(22), 5454; https://doi.org/10.3390/molecules29225454 - 19 Nov 2024
Viewed by 350
Abstract
Zinc is a trace element, which plays an important role in many biological processes. The deficiency of zinc will lead to many diseases. Thus, it is of great significance to develop fast and efficient quantitative detection technology for zinc ions. In this study, [...] Read more.
Zinc is a trace element, which plays an important role in many biological processes. The deficiency of zinc will lead to many diseases. Thus, it is of great significance to develop fast and efficient quantitative detection technology for zinc ions. In this study, a novel fluorescence probe FP2 was designed for Zn2+ quantification based on pyrano[3,2-c] carbazole. The structure of FP2 was characterized by 1HNMR, 13CNMR, HRMS, and X-ray diffraction. In the HEPES buffer solution, FP2 is responsive to Zn2+ and greatly enhanced. The pH value and reaction time were investigated, and the optimum reaction conditions were determined as follows: the pH was 7~9 and the reaction time was longer than 24 min. Under the optimized conditions, the concentration of FP2 and Zn2+ showed a good linear relationship in the range of 0~10 μM, and the LOD was 0.0065 μmol/L. In addition, through the 1H NMR titration experiment, density functional theory calculation, and the job plot of FP2 with Zn2+ in the HEPES buffer solution, the binding mode of FP2 and Zn2+ was explained. Finally, the method of flame atomic absorption spectrometry (FAAS) and FP2 were used to detect the content of Zn2+ in the water extract of tea. The results showed that the FP2 method is more accurate than the FAAS method, which shows that the method described in this work could be used to detect the content of Zn2+ in practical samples and verify the practicability of this method. Full article
(This article belongs to the Special Issue Covalent and Noncovalent Interactions in Crystal Chemistry II)
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<p>Crystal structure of compound <b>FP2</b> with 30% thermal ellipsoids.</p>
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<p>Fluorescence spectra of <b>FP2</b>.</p>
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<p>The effect of pH value of fluorescence intensity for <b>FP2</b> (10 μM) in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>) in the absence and presence of Zn<sup>2+</sup> (10 equivalent). (λ<sub>ex</sub> = 367 nm, Slit: 5 nm/10 nm).</p>
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<p>Time-dependent fluorescence intensity changes for <b>FP2</b> (10 μM) at 468nm in the presence of Zn<sup>2+</sup> (10 μM/10 equiv.) in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH = 7.0). (λ<sub>ex</sub> = 367 nm, Slit: 5 nm/10 nm).</p>
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<p>Fluorescence response of <b>FP2</b> (10 μM) to various meta ions and Specific recognition in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH 7.0). (λ<sub>ex</sub> = 367 nm, Slit: 5 nm/10 nm).</p>
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<p>The photos of <b>FP2</b> (10 μM) to various metal ions in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH 7.0).</p>
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<p>Fluorescence spectra of <b>FP2</b> (10 μM) in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH 7.0) in the presence of different concentrations of Zn<sup>2+</sup> (0~10 μM) equation of linear regression. (λ<sub>ex</sub> = 367 nm, Slit: 5 nm/10 nm).</p>
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<p>(<b>a</b>) <sup>1</sup>H NMR spectra of <b>FP2</b> (1 mM) in the absence and presence of Zn<sup>2+</sup> (1 equiv) in DMSO-<span class="html-italic">d</span><sub>6</sub>; (<b>b</b>) the HOMOs and LUMOs of <b>FP2</b> and FP2 + Zn<sup>2+</sup> (The isosurface values are set to 0.04 a.u.); (<b>c</b>) the job plot of <b>FP2</b> with Zn<sup>2+</sup> in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH 7.0) (λex = 367 nm, Slit: 5 nm/10 nm).</p>
Full article ">Figure 8 Cont.
<p>(<b>a</b>) <sup>1</sup>H NMR spectra of <b>FP2</b> (1 mM) in the absence and presence of Zn<sup>2+</sup> (1 equiv) in DMSO-<span class="html-italic">d</span><sub>6</sub>; (<b>b</b>) the HOMOs and LUMOs of <b>FP2</b> and FP2 + Zn<sup>2+</sup> (The isosurface values are set to 0.04 a.u.); (<b>c</b>) the job plot of <b>FP2</b> with Zn<sup>2+</sup> in HEPES buffer solution (25 mM, C<sub>2</sub>H<sub>5</sub>OH/H<sub>2</sub>O = 1:1, <span class="html-italic">v</span>/<span class="html-italic">v</span>, pH 7.0) (λex = 367 nm, Slit: 5 nm/10 nm).</p>
Full article ">Scheme 1
<p>The synthetic route for preparation of compounds <b>FP2</b>.</p>
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11 pages, 2811 KiB  
Article
Biaxial Gaussian Beams, Hermite–Gaussian Beams, and Laguerre–Gaussian Vortex Beams in Isotropy-Broken Materials
by Maxim Durach
Photonics 2024, 11(11), 1062; https://doi.org/10.3390/photonics11111062 - 13 Nov 2024
Viewed by 386
Abstract
We have developed the paraxial approximation for electromagnetic fields in arbitrary isotropy-broken media in terms of the ray–wave tilt and the curvature of materials’ Fresnel wave surfaces. We have obtained solutions of the paraxial equation in the form of biaxial Gaussian beams, which [...] Read more.
We have developed the paraxial approximation for electromagnetic fields in arbitrary isotropy-broken media in terms of the ray–wave tilt and the curvature of materials’ Fresnel wave surfaces. We have obtained solutions of the paraxial equation in the form of biaxial Gaussian beams, which is a novel class of electromagnetic field distributions in generic isotropy-broken materials. Such beams have been previously observed experimentally and numerically in hyperbolic metamaterials but have evaded theoretical analysis in the literature up to now. Biaxial Gaussian beams have two axes: one in the direction of the Abraham momentum, corresponding to the ray propagation, and another in the direction of the Minkowski momentum, corresponding to the wave propagation, in agreement with the recent theory of refraction, ray–wave tilt, and hidden momentum [Durach, 2024]. We show that the curvature of the wavefronts in the biaxial Gaussian beams correspond to the curvature of the Fresnel wave surface at the central wave vector of the beam. We obtain the higher-order modes of the biaxial beams, including the biaxial Hermite–Gaussian and Laguerre–Gaussian vortex beams, which opens avenues toward studies of the optical angular momentum (OAM) in isotropy-broken media, including generic anisotropic and bianisotropic materials. Full article
(This article belongs to the Special Issue Emerging Trends in Metamaterials and Metasurfaces Research)
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Figure 1
<p>(<b>a</b>–<b>c</b>) Plot of <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>x</mi> <mo>,</mo> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mi>i</mi> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mi>z</mi> </mrow> </msup> <mo>}</mo> </mrow> </semantics></math> in x-z plane color-coded above panel (<b>c</b>) for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> and (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo>;</mo> </mrow> </semantics></math> (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2</mn> <mo>;</mo> </mrow> </semantics></math> (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2</mn> <mo>.</mo> </mrow> </semantics></math> (<b>d</b>–<b>f</b>) Plot of <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>x</mi> <mo>,</mo> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>y</mi> <mo>,</mo> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mi>i</mi> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mi>z</mi> </mrow> </msup> <mo>}</mo> </mrow> </semantics></math> in x-y plane color-coded above panel (<b>e</b>) for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>y</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mo>/</mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>, and (<b>d</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>y</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>2</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>z</mi> <mo>=</mo> <mn>100</mn> <mo>;</mo> </mrow> </semantics></math> (<b>e</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>y</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>z</mi> <mo>=</mo> <mn>105</mn> <mo>;</mo> </mrow> </semantics></math> (<b>f</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>y</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>z</mi> <mo>=</mo> <mn>101</mn> <mo>.</mo> </mrow> </semantics></math> The constant phase curves from Equation (17) are shown by dashed black lines and the constant field amplitude curves from Equation (18) are represented by solid black lines.</p>
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<p>(<b>a</b>) Isotropy-broken Fresnel wave surface for <math display="inline"><semantics> <mrow> <mover accent="true"> <mrow> <mi>M</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> </semantics></math> shown in next panel. Black dot indicates the central wave vector of the biaxial Gaussian beam and the corresponding Minkowski momentum (black dashed line) and Abraham momentum (brown line) indicate the directions of the axes; (<b>b</b>) isotropy-broken material parameter matrix <math display="inline"><semantics> <mrow> <mover accent="true"> <mrow> <mi>M</mi> </mrow> <mo stretchy="false">^</mo> </mover> </mrow> </semantics></math>; (<b>c</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>x</mi> <mo>,</mo> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mi>i</mi> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mi>z</mi> </mrow> </msup> <mo>}</mo> </mrow> </semantics></math> for the central wave vector shown in (<b>a</b>) with <math display="inline"><semantics> <mrow> <msub> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>20</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>2.21</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>12.16</mn> </mrow> </semantics></math>; (<b>d</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <msub> <mrow> <mi>ρ</mi> </mrow> <mrow> <mi>e</mi> </mrow> </msub> <mo>}</mo> </mrow> </semantics></math> is the electric bound charge wave; (<b>e</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <msub> <mrow> <mi>ρ</mi> </mrow> <mrow> <mi>m</mi> </mrow> </msub> <mo>}</mo> </mrow> </semantics></math> is the magnetic bound charge wave.</p>
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<p>Plot of the biaxial Hermite–Gaussian beams <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <msub> <mrow> <mi>g</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> <mfenced separators="|"> <mrow> <mi>x</mi> <mo>,</mo> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mi>i</mi> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mi>z</mi> </mrow> </msup> <mo>}</mo> </mrow> </semantics></math> in the x-z plane color-coded above the panels for the same parameters as in <a href="#photonics-11-01062-f001" class="html-fig">Figure 1</a>c; (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>.</p>
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<p>Laguerre–Gaussian vortex beams <math display="inline"><semantics> <mrow> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mo>{</mo> <msub> <mrow> <mi>G</mi> </mrow> <mrow> <mi>p</mi> <mi>l</mi> </mrow> </msub> <mfenced separators="|"> <mrow> <mi mathvariant="bold-italic">r</mi> </mrow> </mfenced> <msup> <mrow> <mi>e</mi> </mrow> <mrow> <mi>i</mi> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mi>z</mi> </mrow> </msub> <mi>z</mi> </mrow> </msup> <mo>}</mo> </mrow> </semantics></math> in isotropy-broken medium for <math display="inline"><semantics> <mrow> <msub> <mrow> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mi>t</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>z</mi> </mrow> <mrow> <mi>R</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mn>10</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>x</mi> </mrow> </msub> <mo>=</mo> <mn>3</mn> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>k</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <msub> <mrow> <mi>r</mi> </mrow> <mrow> <mi>y</mi> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> with (<b>a</b>,<b>b</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mo> </mo> <mi>l</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>; (<b>c</b>,<b>d</b>) <math display="inline"><semantics> <mrow> <mi>p</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo> </mo> <mi>l</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>.</p>
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15 pages, 4301 KiB  
Article
Three-Dimensional Micromechanical Simulation and Evaluation of High-Toughness Ultra-Thin Friction Course with X-Ray Computed Tomography
by Cheng Wan, Qiang Yi, Jiankun Yang, Yong Yu and Shuai Fang
Coatings 2024, 14(11), 1423; https://doi.org/10.3390/coatings14111423 - 8 Nov 2024
Viewed by 459
Abstract
As a novel pavement wear layer material, the micromechanical mechanisms of High-toughness Ultra-thin Friction Course (HUFC) have not been fully elucidated. This paper presents a new method for the three-dimensional micromechanical simulation of high-toughness asphalt mixtures based on a viscoelastic parameter calibration model. [...] Read more.
As a novel pavement wear layer material, the micromechanical mechanisms of High-toughness Ultra-thin Friction Course (HUFC) have not been fully elucidated. This paper presents a new method for the three-dimensional micromechanical simulation of high-toughness asphalt mixtures based on a viscoelastic parameter calibration model. X-ray Computerized Tomography (CT) was employed to scan samples of high-toughness asphalt mixtures to obtain detailed information on the internal structure (aggregate, fine aggregate matrix FAM and voids), and a three-dimensional micromechanical model was constructed based on the real-scale distribution of these components. Aggregates in the high-toughness asphalt mixture were modeled as elastic bodies, while FAM was treated as a viscoelastic material characterized by the Burgers model. Using the Boltzmann linear superposition principle and Laplace transform theory, the viscoelastic properties of FAM were converted into Prony parameters recognizable by finite element software, and the viscoelastic parameters were calibrated. Micromechanical simulations were conducted for three different gradings of high-toughness asphalt mixtures, and the results show that the predicted deformation closely matched the measured deformation. This method accurately reflects the deformation characteristics of different gradings of high-toughness asphalt mixtures, overcoming the limitations of traditional numerical simulations based on homogeneous material models. It represents an advancement and refinement of micromechanical simulation methods for high-toughness asphalt mixtures. Full article
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Figure 1

Figure 1
<p>A flow chart for 3D micromechanical modeling.</p>
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<p>The measured creep deformation test results.</p>
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<p>Advanced Rheometer-2000.</p>
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<p>X-ray CT.</p>
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<p>CT image segmentation for three volume components.</p>
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<p>Three-dimensional visualization model of high-toughness asphalt mixture.</p>
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<p>Finite Element Modeling (FEM) model.</p>
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<p>FAM relaxation modulus fitting.</p>
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<p>Sensitivity analysis of parameter on specimen deformation: (<b>a</b>) E<sub>1</sub>; (<b>b</b>) E<sub>2</sub>; (<b>c</b>) η<sub>1</sub>; (<b>d</b>) η<sub>2</sub>.</p>
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<p>Summary of sensitivity analysis of various parameters on specimen deformation: (<b>a</b>) <span class="html-italic">E</span><sub>1</sub>; (<b>b</b>) <span class="html-italic">E</span><sub>2</sub>; (<b>c</b>) <span class="html-italic">η</span><sub>1</sub>; (<b>d</b>) <span class="html-italic">η</span><sub>2</sub>.</p>
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<p>Summary of sensitivity analysis of various parameters on specimen deformation: (<b>a</b>) <span class="html-italic">E</span><sub>1</sub>; (<b>b</b>) <span class="html-italic">E</span><sub>2</sub>; (<b>c</b>) <span class="html-italic">η</span><sub>1</sub>; (<b>d</b>) <span class="html-italic">η</span><sub>2</sub>.</p>
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<p>Simulation results compared with test results.</p>
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14 pages, 22512 KiB  
Article
Thermoelectric Properties of Cu2S Doped with P, As, Sb and Bi—Theoretical and Experimental Studies
by Paweł Nieroda, Juliusz Leszczyński, Krzysztof Kapera, Paweł Rutkowski, Krzysztof Ziewiec, Aleksandra Szymańska, Mirosław J. Kruszewski, Małgorzata Rudnik and Andrzej Koleżyński
Materials 2024, 17(22), 5440; https://doi.org/10.3390/ma17225440 - 7 Nov 2024
Viewed by 529
Abstract
The aim of this work was to investigate the possibility of doping copper sulfide Cu2S with selected fifth-group elements, potentially having a positive effect on the thermoelectric properties of the resulting materials. For the selected model structures, theoretical calculations and an [...] Read more.
The aim of this work was to investigate the possibility of doping copper sulfide Cu2S with selected fifth-group elements, potentially having a positive effect on the thermoelectric properties of the resulting materials. For the selected model structures, theoretical calculations and an analysis of the electronic structure and changes in the enthalpy of formation due to doping were performed using the WIEN2k package employing the Full-Potential Linearized Augmented Plane Wave (FP-LAPW) method within density functional theory (DFT) formalism. Polycrystalline materials with the nominal composition of Cu32S15X1 (X = P, As, Sb, Bi) were synthesized in quartz ampoules, then sintered using the spark plasma sintering (SPS) technique and “SPS melting” method. The chemical and phase compositions of the obtained sinters were studied by X-Ray diffraction (XRD) and scanning electron microscopy (SEM). Additionally, investigations of thermoelectric properties, i.e., electrical conductivity, Seebeck coefficient and thermal conductivity in the temperature range 300–920 K, were performed. The results of this study indicate that only phosphorus is successfully incorporated into the Cu₂S structure. Full article
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Figure 1

Figure 1
<p>Model of real cubic Cu<sub>2</sub>S structure: Sulfur atoms occupy the 4<span class="html-italic">a</span> (0, 0, 0) Wyckoff position, while copper atoms partially occupy three symmetrically nonequivalent Wyckoff positions: the 8<span class="html-italic">c</span> (¼ ¼ ¼) position, with 24 possible sites surrounding each 8<span class="html-italic">c</span> position; the 192<span class="html-italic">l</span> (0.1067, 0.166, 0.2826) position (marked with polyhedral for clarity purposes) and the 4<span class="html-italic">b</span> (½, ½, ½) position in the middle of the edges.</p>
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<p>Model Fm3m 2 × 2 × 2 supercell structure used in calculations.</p>
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<p>Partial density of states for pure Cu<sub>2</sub>S.</p>
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<p>Density of states (total and projected onto particular atoms) calculated for Cu<sub>2</sub>S doped with (<b>a</b>) phosphor, (<b>b</b>) arsenic, (<b>c</b>) antimony and (<b>d</b>) bismuth occupying the sulfur position.</p>
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<p>X-Ray diffraction patterns for Cu<sub>2</sub>S and Cu<sub>32</sub>S<sub>15</sub>X<sub>1</sub> (<span class="html-italic">X</span> = P, As, Sb, Bi) samples after synthesis.</p>
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<p>SEM photographs of surfaces of cross-section fractures for (<b>a</b>) Cu<sub>2</sub>S and (<b>b</b>) Cu<sub>32</sub>S<sub>15</sub>P<sub>1</sub> samples after SPS.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>As<sub>1</sub> nominal composition after SPS.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>As<sub>1</sub> nominal composition after densification by the “SPS melting” method.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for the Cu<sub>32</sub>S<sub>15</sub>Sb<sub>1</sub> nominal composition after SPS.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>Sb<sub>1</sub> nominal composition after densification by “SPS melting” method.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>Bi<sub>1</sub> nominal composition after SPS.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>Bi<sub>1</sub> nominal composition after densification by “SPS melting” method.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>P<sub>1</sub> nominal composition after SPS.</p>
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<p>SEM photographs of selected surface with respective maps of element distribution and linear analyses of the chemical composition for Cu<sub>32</sub>S<sub>15</sub>P<sub>1</sub> nominal composition after densification by “SPS melting” method.</p>
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<p>X-Ray diffraction patterns for Cu<sub>32</sub>S<sub>16-x</sub>P<sub>x</sub> samples after (<b>a</b>) synthesis and (<b>b</b>) SPS.</p>
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<p>Seebeck coefficient distribution of Cu<sub>32</sub>S<sub>16-x</sub>P<sub>x</sub> samples.</p>
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<p>Temperature dependence of (<b>a</b>) electrical conductivity, (<b>b</b>) Seebeck coefficient, (<b>c</b>) thermal conductivity and (<b>d</b>) <span class="html-italic">ZT</span> parameter for Cu<sub>32</sub>S<sub>16-x</sub>P<sub>x</sub> samples (absolute errors equal to 5% for α, σ, λ and 10% for <span class="html-italic">ZT</span>).</p>
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21 pages, 7976 KiB  
Article
The Impact of Helium and Nitrogen Plasmas on Electrospun Gelatin Nanofiber Scaffolds for Skin Tissue Engineering Applications
by Abolfazl Mozaffari, Mazeyar Parvinzadeh Gashti, Farbod Alimohammadi and Mohammad Pousti
J. Funct. Biomater. 2024, 15(11), 326; https://doi.org/10.3390/jfb15110326 - 1 Nov 2024
Viewed by 763
Abstract
This study explores the fabrication of tannic acid-crosslinked gelatin nanofibers via electrospinning, followed by helium and nitrogen plasma treatment to enhance their biofunctionality, which was assessed using fibroblast cells. The nanofibers were characterized using scanning electron microscopy, atomic force microscopy, attenuated total reflection [...] Read more.
This study explores the fabrication of tannic acid-crosslinked gelatin nanofibers via electrospinning, followed by helium and nitrogen plasma treatment to enhance their biofunctionality, which was assessed using fibroblast cells. The nanofibers were characterized using scanning electron microscopy, atomic force microscopy, attenuated total reflection Fourier transform infrared spectroscopy, X-ray diffraction, and water contact angle measurements before and after treatment. Helium and nitrogen gas plasma were employed to modify the nanofiber surfaces. Results indicated that helium and nitrogen plasma treatment significantly increased the hydrophilicity and biofunctionality of the nanofibers by 5.1° ± 0.6 and 15.6° ± 2.2, respectively, making them more suitable for human skin fibroblast applications. To investigate the impact of plasma treatment on gelatin, we employed a computational model using density functional theory with the B3LYP/6-31+G(d) method. This model represented gelatin as an amino acid chain composed of glycine, hydroxyproline, and proline, interacting with plasma particles. Vibrational analysis of these systems was used to interpret the vibrational spectra of untreated and plasma-treated gelatin. To further correlate with experimental findings, molecular dynamics simulations were performed on a system of three interacting gelatin chains. These simulations explored changes in amino acid bonding. The computational results align with experimental observations. Comprehensive analyses confirmed that these treatments improved hydrophilicity and biofunctionality, supporting the use of plasma-treated gelatin nanofibers in skin tissue engineering applications. Gelatin’s natural biopolymer properties and the versatility of plasma surface modification techniques underscore its potential in regenerating cartilage, skin, circulatory tissues, and hamstrings. Full article
(This article belongs to the Collection Feature Papers in Biomaterials for Healthcare Applications)
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<p>Optimized structure of a triple-helical collagen model composed of three 30-residue chains.</p>
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<p>Optimized geometry of Gly-Pro-Hyp (GPH) at the B3LYP/6-31+G(d) level of theory. Color code: carbon (green), oxygen (red), nitrogen (blue), hydrogen (cyan).</p>
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<p>Optimized structure of plasma-treated GPH at B3LYP/6-31+G(d) with helium (<b>a</b>) and nitrogen (<b>b</b>). The occupied volumes are 293.98 Å<sup>3</sup> and 378.24 Å<sup>3</sup>, respectively. Atoms are color-coded as follows: carbon (green), oxygen (red), nitrogen (blue), and hydrogen (cyan).</p>
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<p>SEM images of electrospun gelatin nanofibers: plasma untreated at ×5000 (<b>A</b>), plasma untreated at ×10,000 (<b>B</b>), helium plasma treatment at ×5000 (<b>C</b>), helium plasma treatment at ×10,000 (<b>D</b>), nitrogen plasma treatment at ×5000 (<b>E</b>), and nitrogen plasma treatment at ×10,000 (<b>F</b>).</p>
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<p>AFM image of untreated gelatin nanofibers (<b>A</b>), helium plasma-treated gelatin nanofibers (<b>B</b>), and nitrogen plasma-treated gelatin nanofibers (<b>C</b>).</p>
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<p>ATR-FTIR waveforms of untreated gelatin nanofibers, helium plasma-treated gelatin nanofibers, and nitrogen plasma-treated gelatin nanofibers.</p>
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<p>Calculated IR spectra of raw, helium plasma-, and nitrogen plasma-treated samples at B3LYP/6-31+G(d).</p>
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<p>Comparison of optimized geometries for untreated (<b>top</b>) and nitrogen-treated (<b>bottom</b>) gelatin using the Amber99 force field. Atoms are color-coded: carbon (green), oxygen (red), nitrogen (blue), and hydrogen (white). Hydrogen bonds (polar contacts) are indicated by dotted lines.</p>
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<p>XRD spectra of untreated, helium plasma-treated, and nitrogen plasma-treated electrospun gelatin nanofibers.</p>
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<p>Images of fibroblast cells on a gelatin scaffold: (<b>A</b>) a SEM image of the helium plasma-treated gelatin scaffold; (<b>B</b>) a SEM image of the nitrogen plasma-treated gelatin scaffold; (<b>C</b>) an inverted optical microscope image of the helium plasma-treated gelatin scaffolds at 250× magnification; and (<b>D</b>) an inverted optical microscope image of the nitrogen plasma-treated gelatin scaffold at 250× magnification.</p>
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16 pages, 4851 KiB  
Article
Underwater Refractive Stereo Vision Measurement and Simulation Imaging Model Based on Optical Path
by Guanqing Li, Shengxiang Huang, Zhi Yin, Jun Li and Kefei Zhang
J. Mar. Sci. Eng. 2024, 12(11), 1955; https://doi.org/10.3390/jmse12111955 - 1 Nov 2024
Viewed by 545
Abstract
When light passes through air–glass and glass–water interfaces, refraction occurs, which affects the accuracy of stereo vision three-dimensional measurements of underwater targets. To eliminate the impact of refraction, we developed a refractive stereo vision measurement model based on light propagation paths, utilizing the [...] Read more.
When light passes through air–glass and glass–water interfaces, refraction occurs, which affects the accuracy of stereo vision three-dimensional measurements of underwater targets. To eliminate the impact of refraction, we developed a refractive stereo vision measurement model based on light propagation paths, utilizing the normalized coordinate of the underwater target. This model is rigorous in theory, and easy to understand and apply. Additionally, we established an underwater simulation imaging model based on the principle that light travels the shortest time between two points. Simulation experiments conducted using this imaging model verified the performance of the underwater stereo vision measurement model. The results demonstrate that the accuracy achieved by the new measurement model is comparable to that of the stereo vision measurement model in the air and significantly higher than that of the existing refractive measurement model. This is because the light rays from the camera’s optical center to the refraction point at the air–glass interface do not always intersect. The experiments also indicate that the deviation in the refractive index of water lead to corresponding systematic errors in the measurement results. Therefore, in real underwater measurements, it is crucial to carefully calibrate the refractive index of water and maintain the validity of the calibration results. Full article
(This article belongs to the Section Ocean Engineering)
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<p>Refracted light rays with two flat interfaces under air–glass–water condition.</p>
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<p>Propagation path of the light from the target to the camera.</p>
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<p>Simulation experimental design. (<b>a</b>) Experimental scenario; (<b>b</b>) distribution of 496 points in the target plane.</p>
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<p>Contour of the shortest distance between the two refracted rays from cameras.</p>
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<p>Discrepancy between the measured and true coordinates obtained by Su’s method under ideal conditions. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>X</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>Y</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>Z</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>d</b>) Total coordinate discrepancy. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Discrepancy between the measured and true coordinates obtained by Su’s method under ideal conditions. (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>X</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>Y</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>Z</mi> </mrow> </semantics></math> coordinate discrepancy. (<b>d</b>) Total coordinate discrepancy. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>2</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Discrepancy between the measured and true coordinates obtained under the condition pixel coordinates contain errors. (<b>a</b>–<b>d</b>) Our method, (<b>e</b>–<b>h</b>) Su’s method, (<b>i</b>–<b>l</b>) the regular method. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Discrepancy normalized histogram and fitted Gaussian curve obtained under the condition pixel coordinates contain errors. (<b>a</b>–<b>c</b>) Our method, (<b>d</b>–<b>f</b>) Su’s method. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Discrepancy between the measured and true coordinates obtained under the condition pixel coordinates contain errors and water refractive index contains deviation. (<b>a</b>–<b>d</b>) Our method, (<b>e</b>–<b>h</b>) Su’s method. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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<p>Discrepancy normalized histogram and fitted Gaussian curve obtained under the condition pixel coordinates contain errors and water refractive index contains deviation. (<b>a</b>–<b>c</b>) Our method, (<b>d</b>–<b>f</b>) Su’s method. <math display="inline"><semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi mathvariant="normal">m</mi> </mrow> </semantics></math>.</p>
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24 pages, 6781 KiB  
Article
A Structure and Magnetism Study of {MnII3MnIVLnIII3} Coordination Complexes with Ln = Dy, Yb
by Victoria Mazalova, Tatiana Asanova, Igor Asanov and Petra Fromme
Inorganics 2024, 12(11), 286; https://doi.org/10.3390/inorganics12110286 - 31 Oct 2024
Viewed by 506
Abstract
We report the research results of polynuclear complexes consisting of 3d-4f mixed-metal cores that are maintained by acetate ligands and multidentate Schiff base ligands with structurally exposed thioether groups. The presence of the latter at the periphery of these neutral compounds enables their [...] Read more.
We report the research results of polynuclear complexes consisting of 3d-4f mixed-metal cores that are maintained by acetate ligands and multidentate Schiff base ligands with structurally exposed thioether groups. The presence of the latter at the periphery of these neutral compounds enables their anchoring onto substrate surfaces. Specifically, we investigated the electronic and magnetic properties as well as the structural arrangement in {MnII3MnIVLnIII3} with Ln = Dy, Yb coordination complexes using various complementary methods. We studied the electronic and atomic structure of the target compounds using the XAS and XES techniques. The molecular structures of the compounds were determined using density functional theory, and the magnetic data were obtained as a function of the magnetic field. Using the XMCD method, we followed the changes in the electronic and magnetic properties of adsorbed magnetic compounds induced by the reaction of ligands through interaction with the substrate. The complexes show antiferromagnetic exchange interactions between Mn and Ln ions. The spectroscopic analyses confirmed the structural and electronic integrity of complexes in organic solution. This study provides important input for a full understanding of the dependence of the magnetic properties and the molecule–substrate interaction of single adsorbed molecules on the type of ligands. It highlights the importance of chemical synthesis for controlling and tailoring the magnetic properties of metalorganic molecules for their use as optimized building blocks of future molecular spin electronics. Full article
(This article belongs to the Section Coordination Chemistry)
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<p>Molecular structure of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complex. Color code: C of acetates, green; C of the Schiff base ligand L∙SMe<sup>–</sup>, gray; Dy, turquoise; Mn<sup>II</sup>, pink; Mn<sup>IV</sup>, purple; N, blue; O, red and S, yellow. H atoms and solvent molecules are omitted for clarity.</p>
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<p>(<b>a</b>) Theoretical Mn K-edge XANES spectra of four manganese atoms of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>D<sup>III</sup><sub>3</sub>} coordination complex; (<b>b</b>) comparison of the experimental Mn K-edge spectrum with a total spectrum of all four nonequivalent Mn atoms; (<b>c</b>) Fourier transforms of Mn K-edge k<sup>3</sup> weighed EXAFS. Mn1…Mn4 are the numbers of the Mn atoms according to <a href="#inorganics-12-00286-f001" class="html-fig">Figure 1</a>.</p>
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<p>Comparison of the experimental Mn L<sub>2,3</sub> XAS spectra of {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} and {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Yb<sup>III</sup><sub>3</sub>} coordination complexes with ones for Mn(acac)<sub>2</sub>, Mn(acac)<sub>3</sub>, and MnO<sub>2</sub> reference compounds.</p>
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<p>(<b>left</b>): partial density of states for Mn<sup>2+</sup> and Mn<sup>4+</sup> atoms ((<b>top</b>) and (<b>middle</b>) panels) and Dy atoms ((<b>bottom</b>) panel); (<b>right</b>): the experimental Mn L<sub>2,3</sub> XAS spectra of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complex measured at the PEAXIS (green line) and 4IDC (black line) beamlines (<b>top</b>) and the calculated total density of states spectra for Mn and Dy atoms (<b>bottom</b>). The Fermi level is set at 0 eV.</p>
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<p>(<b>left</b>): partial density of states averaged for all four Mn atoms in the molecule. The position of the LUMO level is marked with vertical lines; (<b>right</b>): total density of states for Mn and Dy atoms in the molecule. The experimental spectrum (<b>top right</b>) is shifted to the LUMO level. The Fermi level is marked with a vertical line.</p>
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<p>DFT calculated HOMO-1, HOMO, LUMO, and LUMO + 1 molecular orbitals (an isosurface value is 0.01). Blue and red isosurfaces refer to the positive and negative spins, respectively.</p>
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<p>The assignment of atoms in the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complex (<b>left</b>) and the spin density distribution (<b>right</b>) corresponding to the data presented in <a href="#inorganics-12-00286-t001" class="html-table">Table 1</a>. Blue and red surfaces on the right picture refer to the positive and negative spin density, respectively.</p>
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<p>(<b>a</b>) XAS spectrum of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complex with excitation energies for RXES measurements marked by the red vertical lines; (<b>b</b>) Selected RXES spectra measured at various excitation energies; (<b>c</b>) The reconstructed RXES map; (<b>d</b>) RXES spectra plotted as energy loss spectra by setting the energy of the elastic peak to 0 eV.</p>
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<p>Left panel: Mn L<sub>2,3</sub>-edges XAS (<b>a</b>), XMCD (<b>b</b>), and Dy M<sub>4,5</sub>-edges XAS (<b>c</b>); XMCD (<b>d</b>) of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} complexes. Labels µ<sup>+</sup> and µ<sup>−</sup> stand for the left and right directions of the photon helicity. Positive direction of the applied magnetic field is collinear with the photon propagation direction. XMCD spectra measured at the 5T magnetic field and T = 6 K.</p>
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<p>Mn L<sub>2,3</sub>-edges XAS (<b>a</b>), XMCD (<b>b</b>), and Dy M<sub>4,5</sub>-edges XAS (<b>c</b>); XMCD (<b>d</b>) of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complexes deposited on the Au substrate. Labels µ<sup>+</sup> and µ<sup>−</sup> stand for the left and right directions of the photon helicity. In (<b>b</b>,<b>d</b>), the measured spectra are indicated in black and their averaged values in blue.</p>
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<p>Comparison of Mn L<sub>2,3</sub>-edge (<b>left panel</b>) and Dy M<sub>4,5</sub>-edge (<b>right panel</b>) XAS (<b>a</b>,<b>c</b>) and XMCD (<b>b</b>,<b>d</b>) spectra of free and deposited on the Au substrate {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} coordination complexes.</p>
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<p>Mn L<sub>2,3</sub>-edge XAS and XMCD of the {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Yb<sup>III</sup><sub>3</sub>} coordination complexes deposited on the Au substrate measured at the magnetic field of 5T (<b>left panel</b>) and −5T (<b>right panel</b>). Labels (<b>a</b>,<b>c</b>) and (<b>b</b>,<b>d</b>) correspond to the XAS and XMCD spectra, respectively.</p>
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<p>Comparison of Mn L<sub>2,3</sub>-edges (<b>left panel</b>) and Dy M<sub>4,5</sub>-edges (<b>right panel</b>) XAS (<b>a</b>,<b>c</b>) and XMCD (<b>b</b>,<b>d</b>) spectra of {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Dy<sup>III</sup><sub>3</sub>} and {Mn<sup>II</sup><sub>3</sub>Mn<sup>IV</sup>Yb<sup>III</sup><sub>3</sub>} coordination complexes deposited on the Au substrate.</p>
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24 pages, 8710 KiB  
Article
Structural, Antioxidant, and Protein/DNA-Binding Properties of Sulfate-Coordinated Ni(II) Complex with Pyridoxal-Semicarbazone (PLSC) Ligand
by Violeta Jevtovic, Luka Golubović, Odeh A. O. Alshammari, Munirah Sulaiman Alhar, Tahani Y. A. Alanazi, Aleksandra Radulović, Đura Nakarada, Jasmina Dimitrić Marković, Aleksandra Rakić and Dušan Dimić
Inorganics 2024, 12(11), 280; https://doi.org/10.3390/inorganics12110280 - 30 Oct 2024
Viewed by 479
Abstract
The pyridoxal-semicarbazone (PLSC) ligand and its transition metal complexes have shown significant biological activity. In this contribution, a novel nickel(II)-PLSC complex, [Ni(PLSC)(SO4)(H2O)2], was obtained, and its structure was determined by X-ray crystallographic analysis, FTIR, and UV-VIS spectroscopy. [...] Read more.
The pyridoxal-semicarbazone (PLSC) ligand and its transition metal complexes have shown significant biological activity. In this contribution, a novel nickel(II)-PLSC complex, [Ni(PLSC)(SO4)(H2O)2], was obtained, and its structure was determined by X-ray crystallographic analysis, FTIR, and UV-VIS spectroscopy. The sulfate ion is directly coordinated to the central metal ion. The intermolecular stabilization interactions were examined using Hirshfeld surface analysis. The crystal structure was optimized by a B3LYP functional using two pseudopotentials for nickel(II) (LanL2DZ and def2-TZVP) together with a 6-311++G(d,p) basis set for non-metallic atoms. The experimental and theoretical bond lengths and angles were compared, and the appropriate level of theory was determined. The stabilization interactions within the coordination sphere were investigated by the Quantum Theory of Atoms in Molecules (QTAIM). The antioxidant activity towards hydroxyl and ascorbyl radicals was measured by EPR spectroscopy. The interactions between Human Serum Albumin (HSA) and the complex were examined by spectrofluorimetric titration and a molecular docking study. The mechanism of binding to DNA was analyzed by complex fluorescence quenching, potassium iodide quenching, and ethidium bromide displacement studies in conjunction with molecular docking simulations. Full article
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<p>Different binding modes of PLSC ligand.</p>
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<p>(<b>a</b>) Molecular diagram of [Ni(PLSC)(SO<sub>4</sub>)(H<sub>2</sub>O)<sub>2</sub>], with non-hydrogen atoms represented by 50% displacement ellipsoids and hydrogen atoms as spheres of arbitrary size. (<b>b</b>) The ball and stick representation shows part of the hydrogen bonding between the molecules. (Hydrogen-white, carbon-gray, nitrogen-blue, oxygen-red, sulfur-lilac, nickel-light blue).</p>
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<p>Cell packing is viewed down the b-axis, and the 3D hydrogen-bonded network is shown as comprising parallel layers of the Ni(PLSC) structural units.</p>
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<p>(<b>a</b>) Hirshfeld surface and (<b>b</b>) optimized structure (hydrogen atoms are omitted for clarity) at the B3LYP/6-311++G(d,p)(H,C,N,O,S)/LanL2DZ(Ni) level of theory of [Ni(PLSC)(SO<sub>4</sub>)(H<sub>2</sub>O)<sub>2</sub>]. (Hydrogen—white, carbon—gray, nitrogen—blue, oxygen—red, sulfur—yellow, nickel—light blue).</p>
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<p>The EPR spectra of the (<b>a</b>) DEPMPO-HO<sup>•</sup> adduct and (<b>b</b>) ascorbyl radical in the absence (black line) and presence of different concentrations of [Ni(PLSC)(SO<sub>4</sub>)(H<sub>2</sub>O)<sub>2</sub>].</p>
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<p>The fluorescence emission spectra of HSA for the titration with various concentrations of [Ni(PLSC)(SO<sub>4</sub>)(H<sub>2</sub>O)<sub>2</sub>] at (<b>a</b>) 27°, (<b>b</b>) 32°, and (<b>c</b>) 37 °C, and (<b>d</b>) the van ’t Hoff plot for the binding process.</p>
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<p>HSA molecule (PDB ID: 1AO6) with bound ligands: [Ni(PLSC)(H<sub>2</sub>O)<sub>2</sub>(SO<sub>4</sub>)] complex and HPO<sub>4</sub><sup>2−</sup> anion, occupying FA9 and FA8 binding sites, respectively. Ligands and tryptophane are depicted using ball representation; each is colored distinctly. HPO<sub>4</sub><sup>2−</sup> ion from buffer solution is colored by element, Ni(II) complex is shown in light green, and Trp213 is represented in dark grey.</p>
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<p>A 3D representation of the supramolecular interactions of [Ni(PLSC)(H<sub>2</sub>O)<sub>2</sub>(SO<sub>4</sub>)] located in the FA8 binding site. Only the interacting parts of the amino acids are shown, with colors corresponding to their respective regions of the HSA molecule: yellow for subdomain IB, green for subdomain IIA, interdomain region between subdomains IIA and IIB is light grey, and subdomain IA is violet. For the representation of nickel(II), complex sticks colored by the element were used. Supramolecular interactions are represented by dashed lines colored according to the type of interaction denoted in the figure’s legend.</p>
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<p>Fluorescence emission spectra of [Ni(PLSC)(H<sub>2</sub>O)<sub>2</sub>(SO<sub>4</sub>)] for the titration with various concentrations of CT-DNA at (<b>a</b>) 27°, (<b>b</b>) 32°, and (<b>c</b>) 37 °C, and (<b>d</b>) the van ’t Hoff plot for the binding process.</p>
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<p>Fluorescence emission spectra of [Ni(PLSC)(H<sub>2</sub>O)<sub>2</sub>(SO<sub>4</sub>)] without CT-DNA (<b>a</b>) and with CT-DNA (<b>b</b>) in the presence of different concentrations of KI, and (<b>c</b>) the Stern–Volmer plots for the complex fluorescence quenching by KI.</p>
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<p>(<b>a</b>) Fluorescence emission spectra of CT-DNA-EB for the titration with the complex at 27 °C and (<b>b</b>) the double-log Stern–Volmer dependency of intensity on the concentration of [Ni(PLSC)(H<sub>2</sub>O)<sub>2</sub>(SO<sub>4</sub>)].</p>
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<p>Binding of square planar Ni(II) complex with PLSC ligand at two distinct sites: intercalation site (depicted in dark green, ball-and-stick representation) and minor groove (shown in pink, ball-and-stick representation). DNA molecule is colored yellow. Experimentally determined binding energy (ΔG<sub>exp</sub>), best-calculated binding energy (ΔG1), and fifth calculated binding energy value (ΔG<sub>5</sub>) are also indicated.</p>
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<p>The supramolecular interactions of the square planar Ni(II) complex in (<b>a</b>) the intercalation site and (<b>b</b>) the major groove. Only the interacting parts of the nucleobases are shown colored in yellow. For the representation of the square planar Ni(II) complex, sticks colored by element were used. Supramolecular interactions are represented by dashed lines colored according to the type of interaction denoted in the figure’s legend. The experimentally determined binding energy (ΔG<sub>exp</sub>) and the calculated binding energy values are also indicated.</p>
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19 pages, 4721 KiB  
Article
Study and Analysis of the Thunder Source Location Error Based on Acoustic Ray-Tracing
by Jinyuan Guo, Caixia Wang, Jia Xu, Song Jia, Hui Yang, Zhuling Sun and Xiaobao Wang
Remote Sens. 2024, 16(21), 4000; https://doi.org/10.3390/rs16214000 - 28 Oct 2024
Viewed by 376
Abstract
Error analysis and estimation of thunder source location results is a prerequisite for obtaining accurate location results of thunder sources, which is of great significance for a deeper understanding of the physical process of lightning channel discharges. Most of the thunder source location [...] Read more.
Error analysis and estimation of thunder source location results is a prerequisite for obtaining accurate location results of thunder sources, which is of great significance for a deeper understanding of the physical process of lightning channel discharges. Most of the thunder source location algorithms are based on the simplified model of the straight-line propagation of acoustic waves to determine the location of the thunder source; however, the acoustic wave is affected by the inhomogeneity of the atmosphere medium in the propagation process and its acoustic ray will be bent. Temperature and humidity are the main factors affecting the vertical distribution of the velocity of sound in the atmosphere, therefore, it is necessary to study the changes in location errors under the models of uniform vertical distribution of temperature only and uniform vertical distribution of humidity only. This paper focuses on the theory of acoustic ray-tracing in neglecting the presence of the wind and the acoustic attenuation and the theoretical derivation of the location error of thunder source inversion for the three models is carried out by using MATLAB R2019b programming. Then, simulation analysis and comparative study on the variation law of thunder source location error with the height of the source, ground temperature, ground humidity, and array position under the three models are carried out. The results of the study show that the maximum location error can be obtained from the straight-line propagation model, the location error obtained from the model of uniform vertical distribution of temperature only is the second, and the location error obtained from the model of uniform vertical distribution of humidity only is the least and can be negligible compared to the first two models. In the trend of error variation, the variation of location error with temperature and humidity is relatively flat in the first two models; however, the variation of location error with the height of the thunder source is more drastic, which can be more than 80%. The location error obtained from the array inversion closer to the thunder source increases linearly with the height of the thunder source, the location error obtained from the more distant array inversion shows a fast-decreasing trend at the height of the thunder source from 500 to 3500 m, and a flat trend above 3500 m. The location error varies relatively smoothly with the height of the thunder source, the ground temperature, and the ground humidity in the model of uniform vertical distribution of humidity only. In addition, the position of the array also has an important effect on lightning location. The further the horizontal distance from the source, the greater the location error will be obtained in the first two models, and when the thunder source is at a low height and detected at a long distance, the location error will be very large, so relevant data should be modified in actual observation. Full article
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<p>Direction of acoustic ray propagation corresponding to the model of temperature variation with height in windless atmosphere [<a href="#B32-remotesensing-16-04000" class="html-bibr">32</a>].</p>
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<p>Schematic diagram of the acoustic ray trajectory. <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">X</mi> <mn>0</mn> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">Z</mi> <mn>0</mn> </msub> </mrow> </semantics></math> represent the horizontal and vertical position of the initial thunder source, respectively. <math display="inline"><semantics> <mrow> <msub> <mi>α</mi> <mn>0</mn> </msub> </mrow> </semantics></math> represents the initial grazing angle. <math display="inline"><semantics> <mi>X</mi> </semantics></math> and <math display="inline"><semantics> <mi>Z</mi> </semantics></math> represent the horizontal and vertical position of the acoustic ray in propagation. <math display="inline"><semantics> <mi>α</mi> </semantics></math> represents the propagation direction of the acoustic wave at any height.</p>
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<p>The theoretical trajectory of the acoustic ray and trajectory of inversion. <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="normal">X</mi> <mi mathvariant="normal">n</mi> </msub> </mrow> </semantics></math> denotes the array position, <math display="inline"><semantics> <mi mathvariant="normal">H</mi> </semantics></math> denotes the theoretical height of the thunder source, <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="normal">H</mi> <mi mathvariant="normal">n</mi> <mo>′</mo> </msubsup> </mrow> </semantics></math> denotes the height of the inversion result for each array, <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="sans-serif">α</mi> <mi mathvariant="normal">n</mi> </msub> </mrow> </semantics></math> denotes the initial grazing angle corresponding to the array, <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="sans-serif">α</mi> <mi mathvariant="normal">n</mi> <mo>′</mo> </msubsup> </mrow> </semantics></math> denotes the receiving grazing angle.</p>
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<p>Schematic diagram of the RLE based on straight-line propagation model. <math display="inline"><semantics> <mrow> <msubsup> <mi>α</mi> <mi>n</mi> <mo>′</mo> </msubsup> </mrow> </semantics></math> denotes the receiving grazing angle, <math display="inline"><semantics> <mrow> <msub> <mi>X</mi> <mi>n</mi> </msub> </mrow> </semantics></math> denotes the position of the array, <math display="inline"><semantics> <mrow> <msubsup> <mi mathvariant="normal">H</mi> <mi mathvariant="normal">n</mi> <mo>′</mo> </msubsup> </mrow> </semantics></math> denotes inversion height.</p>
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<p>The variation of RLE with HTS in straight-line propagation model. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GT in straight-line propagation model. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GRH in straight-line propagation model. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with HTS in the model of uniform vertical distribution of temperature only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GT in the model of uniform vertical distribution of temperature only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GRH in the model of uniform vertical distribution of temperature only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with HTS in the model of uniform vertical distribution of humidity only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GT in the model of uniform vertical distribution of humidity only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE with GRH in the model of uniform vertical distribution of humidity only. Six curves represent the variation trend of the corresponding array position.</p>
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<p>The variation of RLE of different vertical distribution models with HTS. (<b>a</b>) shows the variation of RLE at the array position of 500 m, (<b>b</b>) shows the variation of RLE at the array position of 3500 m, (<b>c</b>) shows the variation of RLE at the array position of 8000 m.</p>
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<p>The variation of RLE of different vertical distribution models with GT. (<b>a</b>) shows the variation of RLE at the array position of 500 m, (<b>b</b>) shows the variation of RLE at the array position of 3500 m, (<b>c</b>) shows the variation of RLE at the array position of 8000 m.</p>
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<p>The variation of RLE of different vertical distribution models with GRH. (<b>a</b>) shows the variation of RLE at the array position of 500 m, (<b>b</b>) shows the variation of RLE at the array position of 3500 m, (<b>c</b>) shows the variation of RLE at the array position of 8000 m.</p>
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<p>The variation of relative change of the grazing angle with HTS.</p>
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12 pages, 3029 KiB  
Article
Palladium-Catalyzed Acetoxylation of γ-Dehydro-aryl-himachalene: The Synthesis of a Novel Allylic Acetoxylated Sesquiterpene and a π-Allyl Palladium(II) Complex
by Issam Louchachha, Abdelmajid Faris, Youssef Edder, Ali Hasnaoui, Anna Kozakiewicz-Piekarz, Abdelkarim Ait Mansour, Brahim Boualy, Rachid Salghi, Khalil Azzaoui, Rachid Sabbahi, Ashwag S. Alanazi, Mohamed Hefnawy, Belkheir Hammouti, Abdallah Karim and Mustapha Ait Ali
Molecules 2024, 29(21), 5040; https://doi.org/10.3390/molecules29215040 - 25 Oct 2024
Viewed by 583
Abstract
Allylic oxygenated derivatives of himachalenes are highly valued molecules due to their potential applications in perfumery, cosmetics, and pharmaceuticals. Previous attempts at catalyzed allylic oxidation of himachalenes led to the formation of a very stable η3-allyl palladium complex, preventing any further [...] Read more.
Allylic oxygenated derivatives of himachalenes are highly valued molecules due to their potential applications in perfumery, cosmetics, and pharmaceuticals. Previous attempts at catalyzed allylic oxidation of himachalenes led to the formation of a very stable η3-allyl palladium complex, preventing any further reaction development. Herein, we present the first successful palladium-catalyzed synthesis of a novel allylic acetoxylated derivative of himachalenes. This reaction was achieved by incorporating an aromatic ring into the substrate structure. The resulting intermediate complex was isolated and characterized using nuclear magnetic resonance spectroscopy and X-ray crystallography. Density functional theory (DFT) calculations were performed to compare the reactivity of the newly synthesized complex with previously reported ones. The theoretical results confirm that the introduction of an aromatic ring enhances the reactivity of the η³-allyl palladium complex, thereby facilitating the desired transformation. Full article
(This article belongs to the Special Issue Recent Advances in the Organic Synthesis of Bioactive Compounds)
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Figure 1

Figure 1
<p>(<b>a</b>) Major constituents of cedar oil and (<b>b</b>) previously reported π-allyl palladium himachalene complexes.</p>
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<p>Synthesis of bis(π-allyl-γ-dehydro-aryl-himachalene)-dichlorodipalladium (<b>C1</b>).</p>
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<p>(<b>a</b>) The asymmetric unit and (<b>b</b>) the molecular structure of complex <b>C1</b>, with symmetry code i: −x + 1, −y + 1, −z + 2. The selected bond lengths (Å) and angles (°): Pd1-Cl1 2.4147(6), Pd1-Cl1i 2.4218(6), Pd1-C1 2.166(3), Pd1-C15 2.122(3), Pd1-C14 2.131(2), C1-Pd1-C15 68.99(11), C1-Pd1-C14 39.20(10), C15-Pd1-C14 38.95(10), C1-Pd1-Cl1 171.07(8), C15-Pd1-Cl1 104.38(8), C14-Pd1-Cl1 137.77(8), C1-Pd1-Cl1i 99.00(8), C15-Pd1-Cl1i 167.76(8), C14-Pd1-Cl1i 131.58(8), Cl1-Pd1-Cl1i 87.30(2), and Pd1-Cl1-Pd1i 92.70(2).</p>
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<p>Crystal packing of complex <b>C1</b> showing C11-H11A…πC7--C13[x, ½ − y, ½ + z] interactions. Carbon atoms are marked in grey, hydrogen atoms in white, palladium atoms in blue and chlorine atoms in green.</p>
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<p>The geometry optimization (GO), highest occupied molecular orbital (HOMO), lowest unoccupied molecular orbital (LUMO), ESP isosurface, and Fukui indices of the complexes <b>C1</b> and <b>C2</b> derived by using the DFT/GGA tool.</p>
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25 pages, 943 KiB  
Article
A Survey of Dynamical and Gravitational Lensing Tests in Scale Invariance: The Fall of Dark Matter?
by André Maeder and Frédéric Courbin
Symmetry 2024, 16(11), 1420; https://doi.org/10.3390/sym16111420 - 24 Oct 2024
Viewed by 1228
Abstract
We first briefly review the adventure of scale invariance in physics, from Galileo Galilei, Weyl, Einstein, and Feynman to the revival by Dirac (1973) and Canuto et al. (1977). In the way that the geometry of space–time can be described by the coefficients [...] Read more.
We first briefly review the adventure of scale invariance in physics, from Galileo Galilei, Weyl, Einstein, and Feynman to the revival by Dirac (1973) and Canuto et al. (1977). In the way that the geometry of space–time can be described by the coefficients gμν, a gauging condition given by a scale factor λ(xμ) is needed to express the scaling. In general relativity (GR), λ=1. The “Large Number Hypothesis” was taken by Dirac and by Canuto et al. to fix λ. The condition that the macroscopic empty space is scale-invariant was further preferred (Maeder 2017a), the resulting gauge is also supported by an action principle. Cosmological equations and a modified Newton equation were then derived. In short, except in extremely low density regions, the scale-invariant effects are largely dominated by Newtonian effects. However, their cumulative effects may still play a significant role in cosmic evolution. The theory contains no “adjustment parameter”. In this work, we gather concrete observational evidence that scale-invariant effects are present and measurable in astronomical objects spanning a vast range of masses (0.5 M< M <1014M) and an equally impressive range of spatial scales (0.01 pc < r < 1 Gpc). Scale invariance accounts for the observed excess in velocity in galaxy clusters with respect to the visible mass, the relatively flat/small slope of rotation curves in local galaxies, the observed steep rotation curves of high-redshift galaxies, and the excess of velocity in wide binary stars with separations above 3000 kau found in Gaia DR3. Last but not least, we investigate the effect of scale invariance on gravitational lensing. We show that scale invariance does not affect the geodesics of light rays as they pass in the vicinity of a massive galaxy. However, scale-invariant effects do change the inferred mass-to-light ratio of lens galaxies as compared to GR. As a result, the discrepancies seen in GR between the total lensing mass of galaxies and their stellar mass from photometry may be accounted for. This holds true both for lenses at high redshift like JWST-ER1 and at low redshift like in the SLACS sample. Of note is that none of the above observational tests require dark matter or any adjustable parameter to tweak the theory at any given mass or spatial scale. Full article
(This article belongs to the Section Physics)
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<p>The red curve shows the scale factor <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <msub> <mi>t</mi> <mi>in</mi> </msub> <mo>/</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </semantics></math> at the origin of the Universe (<math display="inline"><semantics> <mrow> <mi>a</mi> <mo>(</mo> <msub> <mi>t</mi> <mi>in</mi> </msub> <mo>)</mo> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>) for flat models, with <math display="inline"><semantics> <mrow> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>, as a function of the present-time <math display="inline"><semantics> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">m</mi> </msub> </semantics></math>. The present scale factor at <math display="inline"><semantics> <msub> <mi>t</mi> <mn>0</mn> </msub> </semantics></math> is <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> for any <math display="inline"><semantics> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">m</mi> </msub> </semantics></math> (dashed black line). Thus, during the evolution of the Universe from the Big Bang to present time, the value of <math display="inline"><semantics> <mi>λ</mi> </semantics></math> is only vertically moving, for a given <math display="inline"><semantics> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">m</mi> </msub> </semantics></math>, from the red curve to the black dashed line. This shows that, for increasing densities, the amplitudes of the variations of the scale factor <math display="inline"><semantics> <mi>λ</mi> </semantics></math> are very much reduced; <math display="inline"><semantics> <msub> <mi>t</mi> <mi>in</mi> </msub> </semantics></math> is given in Equation (<a href="#FD2-symmetry-16-01420" class="html-disp-formula">2</a>).</p>
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<p>Evolution of the rotation curve of the Milky Way. The gray points are the velocity averages observed by Huang et al. [<a href="#B44-symmetry-16-01420" class="html-bibr">44</a>], with their error bars. The thick red line represents a mean rotation curve. The thin dashed red line describes the flat mean of the wiggles of the velocity distribution up to a radius of 26 kpc. The brown and orange lines show, respectively, the results of Eilers et al. [<a href="#B45-symmetry-16-01420" class="html-bibr">45</a>] and by Jiao et al. [<a href="#B46-symmetry-16-01420" class="html-bibr">46</a>] for the inner galaxy. The blue lines show the rotation curves predicted by the scale-invariant theory for different ages in the past history of the Universe, starting backwards from the red curve. Calculations have been performed with no dark matter in a model with <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">m</mi> </msub> <mo>=</mo> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">b</mi> </msub> </mrow> </semantics></math>, where <math display="inline"><semantics> <mrow> <msub> <mi mathvariant="sans-serif">Ω</mi> <mi mathvariant="normal">b</mi> </msub> <mo>=</mo> <mn>0.045</mn> </mrow> </semantics></math>. The thick dashed green line shows a Keplerian curve in <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>/</mo> <msqrt> <mi>r</mi> </msqrt> </mrow> </semantics></math> near the age of galaxy formation.</p>
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<p>Projected velocities <math display="inline"><semantics> <msub> <mi>υ</mi> <mi>p</mi> </msub> </semantics></math> as a function of separation <span class="html-italic">s</span> for the main sample in Figure 13 from Chae [<a href="#B62-symmetry-16-01420" class="html-bibr">62</a>]. The very small red dots are the observed values and the blue dots are the Newtonian values in the Monte-Carlo simulations. The larger dots, red (obs.) and blue (simul.) and their connecting lines are the medians and percentiles, as indicated. The central black dashed line shows the Keplerian relation in <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>/</mo> <msqrt> <mi>s</mi> </msqrt> </mrow> </semantics></math>. The green lines are additional indications of the mean deviations along the hyperbolic path of the loose systems after 1, 3, and 5 Gyr from the time, <math display="inline"><semantics> <msub> <mi>τ</mi> <mi>N</mi> </msub> </semantics></math>, the transition from Newtonian to dynamical acceleration. The direction of the effects in velocity and separation is indicated by a green arrow at the bottom left. The deviation of a given system increases linearly with time as indicated by Equation (<a href="#FD34-symmetry-16-01420" class="html-disp-formula">34</a>). The mean observed relation for the loose systems corresponds to an evolution during about 2 to 3 Gyr. In a few Gyrs, loose systems drift away from the Newtonian relation in a way compatible with the dynamical evolution. (Figure adapted from Chae [<a href="#B62-symmetry-16-01420" class="html-bibr">62</a>]).</p>
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<p>Comparisons of observations and theory for a sample of 40 very wide binaries with exceptionally precise radial velocities, with individual relative errors smaller than 0.005, as selected by Chae [<a href="#B62-symmetry-16-01420" class="html-bibr">62</a>]. The green broken lines shows the isochrones corresponding to departures from the Newtonian law after 1, 3, and 5 Gyr of evolution under the dynamical acceleration in the scale-invariant theory. The departure from Newton’s relation is progressive and tends towards a value between 3 and 5 Gyr (data are from Chae [<a href="#B62-symmetry-16-01420" class="html-bibr">62</a>]).</p>
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<p>Binned root mean square <math display="inline"><semantics> <mrow> <mo>〈</mo> <mo>Δ</mo> <mi>V</mi> <mo>〉</mo> </mrow> </semantics></math> of the relative velocities in the plane of sky as a function of the 2D projected separation <span class="html-italic">s</span> for 450 binary pairs by Hernandez [<a href="#B58-symmetry-16-01420" class="html-bibr">58</a>]. There is a partial overlap of the binned pairs. The number of binary pairs in the various means are indicated. The green lines show the isochrones corresponding to departures from the Newtonian law after 1, 3, and 5 Gyr of evolution (adapted from [<a href="#B58-symmetry-16-01420" class="html-bibr">58</a>]).</p>
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<p>The red thick curve represents the mass–luminosity relation on the zero-age sequence [<a href="#B71-symmetry-16-01420" class="html-bibr">71</a>], according to the scale indicated on the left vertical axis. The other curves describe various IMF: Chabrier [<a href="#B68-symmetry-16-01420" class="html-bibr">68</a>], Salpeter with <math display="inline"><semantics> <mrow> <mi>x</mi> <mo>=</mo> <mn>1.35</mn> </mrow> </semantics></math> [<a href="#B73-symmetry-16-01420" class="html-bibr">73</a>], and the so-called Super-Salpeter by [<a href="#B67-symmetry-16-01420" class="html-bibr">67</a>], according to the scale indicated on the right vertical axis. Note that, in <math display="inline"><semantics> <mrow> <mi>ξ</mi> <mo>(</mo> <mi>log</mi> <mi>m</mi> <mo>)</mo> </mrow> </semantics></math>, the log is a decimal. The Figure is inspired by [<a href="#B67-symmetry-16-01420" class="html-bibr">67</a>].</p>
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