Review of Scientific Instruments最新文献

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Tender x-ray microfocus beamline employing a combined double crystal/multilayer grating monochromator. 采用组合双晶/多层光栅单色器的柔嫩x射线微聚焦光束线。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0283516
Matthias Müller, Janin Lubeck, Michael Krumrey, Konstantin Skudler, Hongfei Yang, Tatjana Gießel, Burkhard Langer, Rukiya Matsidik, Andrey Sokolov
{"title":"Tender x-ray microfocus beamline employing a combined double crystal/multilayer grating monochromator.","authors":"Matthias Müller, Janin Lubeck, Michael Krumrey, Konstantin Skudler, Hongfei Yang, Tatjana Gießel, Burkhard Langer, Rukiya Matsidik, Andrey Sokolov","doi":"10.1063/5.0283516","DOIUrl":"https://doi.org/10.1063/5.0283516","url":null,"abstract":"<p><p>A new x-ray beamline at the Physikalisch-Technische Bundesanstalt laboratory at BESSY II provides monochromatized radiation in the energy range from 1 to 10 keV, with a typical focus size of 20 μm. It is not only optimized for high-resolution x-ray spectrometry and microscopy but also enables scattering experiments and radiometric measurements. The innovative monochromator consists of a plane grating monochromator module equipped with multilayer-coated blazed gratings for x-ray energies up to 4 keV and an integrated double-crystal monochromator module equipped with silicon (111) crystals for x-ray energies ranging from 2.4 to 10 keV. The microfocus is produced by Kirkpatrick-Baez optics, achieving a minimal focus size of 5 × 7 μm2. Here, we present the design and performance parameters that were determined during the commissioning of the beamline which is in operation since mid-2024.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145030596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Replenishing liquid sheet targets to enable high-intensity high-repetition-rate laser-plasma interactions for ion-beam technology. 补充液体片靶,使离子束技术的高强度高重复率激光等离子体相互作用成为可能。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0283523
Stefano Faubel, Griffin D Glenn, Girik Jain, Maxence Gauthier, Siegfried H Glenzer
{"title":"Replenishing liquid sheet targets to enable high-intensity high-repetition-rate laser-plasma interactions for ion-beam technology.","authors":"Stefano Faubel, Griffin D Glenn, Girik Jain, Maxence Gauthier, Siegfried H Glenzer","doi":"10.1063/5.0283523","DOIUrl":"https://doi.org/10.1063/5.0283523","url":null,"abstract":"<p><p>We report on the development of a robust microfluidic nozzle capable of generating replenishing liquid sheet targets with sub-micron thickness at up to kHz repetition rates, a λ/20 surface flatness over areas of at least 100 μm2, and in-vacuum dimensions of 6 × 1.5 mm2. The platform was evaluated for stability under hundreds of 4.3 J laser shots at 0.5 Hz and 6 × 1020 W/cm2 peak intensity, delivered in burst mode, totaling 2.9 kJ on the target. The key metrics of the platform, including sheet characteristics, nozzle aperture morphology, and proton spectra, showed no measurable degradation in the performance of the liquid sheet platform following this experiment. Beyond its application to ion beam technology, we outline a pathway to further develop the capabilities of the platform into a high-repetition-rate plasma mirror.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145024154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Target recognition and grasping strategies for soft robotic manipulators in unstructured environments. 非结构化环境下软机械臂目标识别与抓取策略。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0276882
Lisong Dong, Huiru Zhu, Yuan Chen, Daoming Wang
{"title":"Target recognition and grasping strategies for soft robotic manipulators in unstructured environments.","authors":"Lisong Dong, Huiru Zhu, Yuan Chen, Daoming Wang","doi":"10.1063/5.0276882","DOIUrl":"https://doi.org/10.1063/5.0276882","url":null,"abstract":"<p><p>In unstructured environments, robots face challenges in efficiently and accurately grasping irregular, fragile objects. To address this, this paper introduces a soft robotic hand tailored for such settings and enhances You Only Look Once v5s (YOLOv5s), a lightweight detection algorithm, to achieve efficient grasping. A rapid pneumatic network-based soft finger structure, broadly applicable to various irregularly placed objects, is designed, with a mathematical model linking the bending angle of the fingers to input gas pressure, validated through simulations. The YOLOv5s model is improved by integrating the Coordinate Attention (CA) mechanism in the backbone layer, refining the Spatial Pyramid Pooling (SPP) module for faster detection, and adjusting the loss function to prevent misalignment between predicted and actual bounding boxes, thereby enhancing computational efficiency. Experimental comparative analysis indicates that the refined model exhibits improvements in both mean average precision and recognition speed. A soft robotic grasping experimental platform was established, with precision grasping and power grasping experiments conducted using the pose and object type data generated by the enhanced YOLOv5s-CA-SPP model network. The results show that the success rate of grabbing reaches 82% with a proper grabbing posture.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145001478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ring type furnace integrated into DAC chamber for stable and uniform sample heating up to 2000 K. 环形炉集成到DAC室,稳定和均匀的样品加热到2000k。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0290862
Muyun Han, Wenhui Liu, Min Cao, Weichao Li, Dawei Jiang, Yonghao Han, Chunxiao Gao
{"title":"Ring type furnace integrated into DAC chamber for stable and uniform sample heating up to 2000 K.","authors":"Muyun Han, Wenhui Liu, Min Cao, Weichao Li, Dawei Jiang, Yonghao Han, Chunxiao Gao","doi":"10.1063/5.0290862","DOIUrl":"https://doi.org/10.1063/5.0290862","url":null,"abstract":"<p><p>The diamond anvil cell is a powerful tool for investigating material behavior under extreme pressure and temperature, but achieving efficient and uniform heating remains challenging. This study introduces a ring-type furnace integrated into a gasket with a metal-insulator-metal sandwich structure, using tantalum (Ta) for heating, tungsten (W) for electrodes, and mica-ceramic powder for insulation, enabling stable and uniform heating up to 2000 K. A calibration method combining thermocouple data and finite element simulations ensures accurate temperature measurement. Experimental validation shows that the furnace maintains optical access for spectroscopic measurements and supports in situ conductivity characterization under high-pressure and high-temperature conditions. This advancement provides a robust platform for multi-physics experiments under extreme conditions.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144993355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Design and preliminary results of the microwave-driven proton ion source developed at the Center for Energy Research. 能源研究中心开发的微波驱动质子离子源的设计和初步结果。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0284084
G Anda, D Czémán, M Lampert, M Miklós, D Oravecz, A Zsákai
{"title":"Design and preliminary results of the microwave-driven proton ion source developed at the Center for Energy Research.","authors":"G Anda, D Czémán, M Lampert, M Miklós, D Oravecz, A Zsákai","doi":"10.1063/5.0284084","DOIUrl":"https://doi.org/10.1063/5.0284084","url":null,"abstract":"<p><p>A novel medium-current (up to 20 mA), low normalized beam emittance (<1 π mm mrad) electron cyclotron resonance microwave H+ ion source has been developed at the Center for Energy Research in Budapest, Hungary. This high-stability design targets an energy ripple below 1% while delivering a continuous or pulsed proton beam with adjustable pulse duration (0.1-10 ms) and frequency (0.01-40 Hz) at 35 keV beam energy. The design includes a microwave generator, a four-stub tuner, an E-bend, a DC break, a vacuum window, and a four-section matching transformer connected to a 90 mm diameter, 100 mm long cylindrical ionizing chamber. The magnetic field is generated by six axially aligned permanent magnet bars. Additionally, fifteen 4 mm-diameter holes allow discharge observation, pressure monitoring, and gas inlet placement. Magnetic simulations guided the layout of the permanent magnets and ferromagnetic components to shape the desired field. Beam simulations confirmed the feasibility of appropriate focusing. High-voltage insulators are mounted radially to minimize the gap between the extraction slit and ion optics. Experimental tests demonstrated stable beam extraction up to ∼6 mA at ∼250 W microwave power using a 2 mm aperture radius. A novel high-voltage beam chopper was also tested, achieving beam switch-off within ∼10 µs and enabling controlled time-structured beam operation. These results confirm the ion source's potential for integration into compact accelerator-based neutron generators, targeting applications such as boron neutron capture therapy and materials science investigations.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145016110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optical system for a strontium optical lattice clock aboard the Chinese Space Station. 中国空间站上的锶光学晶格时钟光学系统。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0282958
Jian Xia, Wenhai Wang, Guodong Zhao, Wei Tan, Yongzhuang Zhou, Feng Guo, Yun Liu, Dejing He, Min Feng, Ting Liang, Jie Ren, Junwei Meng, Yong Shen, Xiaotong Lu, Benquan Lu, Yebing Wang, Chihua Zhou, Hongxin Zou, Hong Chang
{"title":"Optical system for a strontium optical lattice clock aboard the Chinese Space Station.","authors":"Jian Xia, Wenhai Wang, Guodong Zhao, Wei Tan, Yongzhuang Zhou, Feng Guo, Yun Liu, Dejing He, Min Feng, Ting Liang, Jie Ren, Junwei Meng, Yong Shen, Xiaotong Lu, Benquan Lu, Yebing Wang, Chihua Zhou, Hongxin Zou, Hong Chang","doi":"10.1063/5.0282958","DOIUrl":"https://doi.org/10.1063/5.0282958","url":null,"abstract":"<p><p>We report the design and in-orbit demonstration of a compact optical system for a 87Sr optical lattice clock aboard the Chinese Space Station. This system adopts a compact and robust vertically stacked architecture with a total volume of 0.11 m3 and a mass of 53.6 kg. It passed thermal and vibration qualification tests and remained fully operational after launch. In orbit, it achieved automated multi-stage laser stabilization and a blue magneto-optical trap for 87Sr atoms. This marks a significant step toward operational optical clocks in space.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145016112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhanced defect detection with autoencoder based analysis for Golay coded thermal wave imaging for inspection of carbon fiber reinforced polymers. 基于自编码器分析的碳纤维增强聚合物的Golay编码热波成像缺陷检测。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-09-01 DOI: 10.1063/5.0294144
Ishant Singh, Vanita Arora, Shruti Bharadwaj, Prabhu Babu, Ravibabu Mulaveesala
{"title":"Enhanced defect detection with autoencoder based analysis for Golay coded thermal wave imaging for inspection of carbon fiber reinforced polymers.","authors":"Ishant Singh, Vanita Arora, Shruti Bharadwaj, Prabhu Babu, Ravibabu Mulaveesala","doi":"10.1063/5.0294144","DOIUrl":"https://doi.org/10.1063/5.0294144","url":null,"abstract":"<p><p>Active thermography is increasingly used in non-destructive testing (NDT) due to its ability to inspect materials remotely and reveal subsurface flaws without damaging the structure. Among the various thermographic techniques, pulse compression-based thermal wave imaging has shown promise for its improved sensitivity, depth resolution, and accuracy in identifying hidden defects. This study explores the use of Golay-Coded Thermal Wave Imaging (GCTWI) for detecting internal defects in a carbon fiber reinforced polymer specimen. The sample includes three sections with different thicknesses, each containing engineered slit-shaped flaws. To improve the clarity of defect visualization and accurately assess thickness variations, several post-processing techniques are applied. The GCTWI results are compared using three approaches: traditional pulse compression, principal component thermography, and a deep learning method known as Autoencoder-based Thermography (AET). Key enhancements to the autoencoder's loss function were introduced to better capture defect features in the thermal data. Experimental outcomes show that GCTWI combined with autoencoder-based processing significantly improves defect visibility, especially by increasing the signal-to-noise ratio. Among the tested factors, the non-correlation of Golay codes played a critical role in enhancing defect detection. These results support the integration of coded excitation with AET based processing for advanced NDT applications.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145065482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A multi-spectral temperature measurement method based on color temperature difference. 基于色温差的多光谱温度测量方法。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-08-01 DOI: 10.1063/5.0268085
Jialin Yang, Lin Yang, Xiang Wan, Zhefeng Zhang, Yuanjie Shi
{"title":"A multi-spectral temperature measurement method based on color temperature difference.","authors":"Jialin Yang, Lin Yang, Xiang Wan, Zhefeng Zhang, Yuanjie Shi","doi":"10.1063/5.0268085","DOIUrl":"https://doi.org/10.1063/5.0268085","url":null,"abstract":"<p><p>Accurate temperature measurement is pivotal in manufacturing, industrial modernization, and scientific research. This study proposes a multi-spectral thermometry method based on the gray body hypothesis and color temperature difference. The methodology involves selecting a target pixel and any other pixel and measuring their gray value with a multi-spectral thermometer. For an n-channel thermometer, 2n equations can be derived from Wien's displacement law. Subtracting these equations yields additional n equations, forming a system of 3n equations. These equations are solved via least squares fitting to determine the color temperature and gray body emissivity of both pixels. By establishing the relationship between gray body emissivity and channel-specific emissivity under the gray body approximation, the variance between theoretical and measured emissivity is calculated. The target pixel is combined with other pixels for calculation, and the resulting variances are compared. The temperature and emissivity of the target pixel are determined when the variance is minimized. If the variance meets the measurement error requirements, the corresponding result is regarded as the true temperature. This approach reduces the required number of spectral channels, circumvents overcomplicated emissivity models induced by wide spectral ranges, and enhances measurement accuracy (error <1%) while improving experimental efficiency. The method's validity is demonstrated through gas discharge temperature measurements, with results cross-verified against rotational temperature data, confirming its applicability in practical scenarios.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144789736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improving stitching interferometry measurements by a continuous airflow. 改进连续气流拼接干涉测量。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-08-01 DOI: 10.1063/5.0274516
Albert Van Eeckhout, Guillem Alvarez, Igors Sics, Joan Torras, Dominique Heinis, Josep Nicolas
{"title":"Improving stitching interferometry measurements by a continuous airflow.","authors":"Albert Van Eeckhout, Guillem Alvarez, Igors Sics, Joan Torras, Dominique Heinis, Josep Nicolas","doi":"10.1063/5.0274516","DOIUrl":"https://doi.org/10.1063/5.0274516","url":null,"abstract":"<p><p>The stitching interferometry system of ALBA, based on a Fizeau interferometer, is robust to displacement errors and reference manufacturing errors. Nevertheless, it is very sensitive to environmental noise, particularly when measuring long mirrors. One way to reduce the impact of environmental noise is by averaging repeated measurements of the same surface area. However, averaging involves longer measurements, resulting in a compromise between time and measurement uncertainty. In this work, we explore the effect of a fan-generated continuous airflow to reduce the impact of environmental noise. In order to investigate this aspect, we evaluate the contribution of the airflow to Fizeau's surface reconstruction repeatability, conduct a frequency analysis of the interferometric acquisitions, and perform computational fluid dynamics simulations. Finally, we replicated ALBA's standard stitching measurement procedure, using a 550 mm section of an x-ray mirror, to assess the advantages of employing a fan with rotating blades for improving measurement repeatability.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144837452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Application of optical photothermal infrared spectroscopy (O-PTIR) for future returned Mars samples. 光学光热红外光谱(O-PTIR)在未来返回火星样品中的应用。
IF 1.7 4区 工程技术
Review of Scientific Instruments Pub Date : 2025-08-01 DOI: 10.1063/5.0266350
Nicholas Heinz, Mark S Anderson, Jerami Mennella, George R Rossman
{"title":"Application of optical photothermal infrared spectroscopy (O-PTIR) for future returned Mars samples.","authors":"Nicholas Heinz, Mark S Anderson, Jerami Mennella, George R Rossman","doi":"10.1063/5.0266350","DOIUrl":"10.1063/5.0266350","url":null,"abstract":"<p><p>Optical photothermal infrared spectroscopy (O-PTIR) was used to characterize a terrestrial rock sample as a demonstration of the technique's enhanced spatial resolution as it corresponds to minerology and the detection of organics. Traditional reflectance-based infrared techniques are limited by the wavelength of the infrared light interacting with the surface along with additional optical dispersion issues. However, because of the nature in which the infrared spectrum is measured via O-PTIR, these traditional issues are eliminated. This is possible through the recent developments of high intensity quantum cascade-based infrared lasers capable of scanning the mid infrared spectrum (3000-500 cm-1). Individual O-PTIR and diffuse reflectance data were collected on a terrestrial rock sample and compared to a recent discovery of NASA JPL's Perseverance Rover regarding inclusions of comparable size. In addition, an O-PTIR map of a particularly dense area of proteinaceous material in the terrestrial sample was collected, further exemplifying the capability. This technique has significant potential for use regarding future returned Mars samples and in situ planetary surface science when considering the spatial resolution, sensitivity, and negligible sample preparation.</p>","PeriodicalId":21111,"journal":{"name":"Review of Scientific Instruments","volume":"96 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144822449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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