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High-Dimensional Uncertainty Quantification Using Stochastic Galerkin and Tensor Decomposition 利用随机伽勒金和张量分解进行高维不确定性量化
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-24 DOI: 10.1109/TCPMT.2024.3418342
Ziyuan Wang;Karanvir S. Sidhu;Roni Khazaka
This article investigates the application of tensor decomposition and the stochastic Galerkin method for the uncertainty quantification of complex systems characterized by high parameter dimensionality. By employing these methods, we construct surrogate models aimed at efficiently predicting system output uncertainty. The effectiveness of our approaches is demonstrated through a comparative analysis of accuracy and central processing unit (CPU) cost with conventional Galerkin methods, using two transmission line circuit examples with up to 25 parameters.
本文研究了张量分解法和随机伽勒金法在高参数维度复杂系统不确定性量化中的应用。通过采用这些方法,我们构建了旨在有效预测系统输出不确定性的代用模型。通过对精度和中央处理器(CPU)成本与传统伽勒金方法的比较分析,我们使用两个多达 25 个参数的输电线路示例,证明了我们方法的有效性。
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引用次数: 0
Enhanced Anti-Oxidation Copper-Based Conductive Inks for Low Porosity Copper Films in Power Electronics 用于电力电子器件低孔隙率铜膜的增强型抗氧化铜基导电油墨
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-20 DOI: 10.1109/TCPMT.2024.3417261
Mingming Yi;Wenhui Zhu;Ping Wu;Yiou Qiu;Guoliao Sun;Liancheng Wang
Copper-based conductive inks have been extensively researched due to their low sintering temperature and high anti-oxidation properties for various electrical devices. However, the unstable oxidation properties of copper (Cu) limit its practical application. The existing anti-oxidation methods adopted in copper sintering often reduce copper strength and reliability. Therefore, the study presents a novel copper composite ink comprising copper precursors, copper microparticles, organic protective agents, and antioxidants. The sintering process is simple, requiring only 20 min at $300~^{circ }$ C in nitrogen without any additional pressure. As a result, sintered copper with an oxidation rate of only 3.21 wt% was successfully obtained using the mixed ink of copper particles and precursors. The porosity of the sintered copper is 10.69%, which is a 71.77% reduction compared to the copper sintered by using pure copper precursor ink, due to the synergistic effect. Furthermore, the study discusses and analyzes the lattice growth mechanism and synergy mechanism of copper particles and their precursors during copper sintering.
铜基导电油墨因其烧结温度低、抗氧化性强而被广泛用于各种电气设备的研究。然而,铜(Cu)不稳定的氧化特性限制了其实际应用。现有的铜烧结抗氧化方法往往会降低铜的强度和可靠性。因此,本研究提出了一种新型铜复合油墨,由铜前驱体、铜微粒、有机保护剂和抗氧化剂组成。烧结过程非常简单,只需在 300~^{circ }$ C 的氮气环境中进行 20 分钟的烧结,无需额外加压。因此,使用铜微粒和前驱体的混合墨水成功获得了氧化率仅为 3.21 wt% 的烧结铜。由于协同效应,烧结铜的孔隙率为 10.69%,比使用纯铜前驱体油墨烧结的铜降低了 71.77%。此外,该研究还讨论和分析了铜烧结过程中铜颗粒及其前驱体的晶格生长机制和协同机制。
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引用次数: 0
A Hard Constraint and Domain-Decomposition- Based Physics-Informed Neural Network Framework for Nonhomogeneous Transient Thermal Analysis 基于硬约束和域分解的非均质瞬态热分析物理信息神经网络框架
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-19 DOI: 10.1109/TCPMT.2024.3416523
Zengkai Wu;Li Jun Jiang;Sheng Sun;Ping Li
In this article, a hard constraint (HC) and domain-decomposition-based physics-informed neural network (HCD-PINN) framework is introduced for nonhomogeneous transient thermal analysis. In general, physics-informed neural network (PINN) uses a global neural network to approximate the solutions of partial differential equations (PDEs), and its performance could decrease dramatically when the problem becomes big or complex. To get this deficiency addressed and simultaneously enhance the modeling capability of PINN, in this work, the domain decomposition method (DDM)-based strategy is introduced. In each subdomain, an independent neural network is used to approximate the solution. Thereby, the size and complexity of the neutral network are reduced. To facilitate effective integration of solutions across different regions, an HC method is proposed for automatic satisfaction of interface conditions between adjacent subdomains. At the interface, continuity conditions for temperature and heat flux are considered, with heat flux continuity expressed in terms of the derivative of temperature. Using the mixed residual method (MIM), continuity conditions at the interface can be transformed into a linear form of the neural network outputs. This eliminates the need for differentiation, enabling automatic satisfaction of conditions through the use of a predefined HC matrix. Ultimately, we merge neural networks responsible for subdomains and interfaces, along with the HC matrix, using a differentiable distance function. This integration establishes a cohesive and unified framework. To validate the efficiency and accuracy of HCD-PINN, several numerical examples are studied and compared with previous PINN methods, with COMSOL simulations as exact solutions. The experimental results demonstrate the superior accuracy of our proposed method.
本文介绍了一种基于硬约束(HC)和域分解的物理信息神经网络(HCD-PINN)框架,用于非均质瞬态热分析。一般来说,物理信息神经网络(PINN)使用全局神经网络来逼近偏微分方程(PDE)的解,当问题变得复杂或庞大时,其性能会急剧下降。为了解决这一不足,同时提高 PINN 的建模能力,本研究引入了基于域分解法(DDM)的策略。在每个子域中,使用一个独立的神经网络来近似求解。因此,中性网络的规模和复杂性都有所降低。为促进不同区域解决方案的有效整合,提出了一种 HC 方法,用于自动满足相邻子域之间的接口条件。在界面上,考虑了温度和热通量的连续性条件,热通量的连续性用温度的导数表示。利用混合残差法(MIM),界面上的连续性条件可以转化为神经网络输出的线性形式。这样就无需进行微分,通过使用预定义的 HC 矩阵就能自动满足条件。最后,我们利用可微分距离函数将负责子域和界面的神经网络与 HC 矩阵合并。这种整合建立了一个具有凝聚力的统一框架。为了验证 HCD-PINN 的效率和准确性,我们研究了几个数值示例,并将其与之前的 PINN 方法进行了比较,将 COMSOL 仿真作为精确解。实验结果表明,我们提出的方法具有更高的精确度。
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引用次数: 0
Void Growth and Intermetallic Bridging in Microscale Solder Interconnects Under Thermal Annealing 热退火条件下微米尺度焊料互连器件中的空洞增长和金属间搭桥
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-19 DOI: 10.1109/TCPMT.2024.3416430
Sudarshan Prasanna Prasad;Chetan Jois;Yuvraj Singh;Ganesh Subbarayan;Bharat Penmecha;Prasanna Raghavan
As the pitch and size of microbumps in 2.5-D/ 3-D packages decrease, void evolution in the solder joint volume accompanied by growth of Cu-Sn intermetallic (IMC) phase is a potential reliability concern necessitating further investigation into the underlying mechanisms. In this study, test devices are designed and fabricated to mimic the behavior of fine pitch microbumps of size $30~mu $ m. These test devices offer the capability of nondestructively observing IMC growth and void evolution. Consequently, they allow continuous observation of phase evolution. These devices also eliminate potential loss of information due to destructive processing techniques. Each fabricated test device consists of multiple Cu-Sn-Cu joints with varying sizes of Sn solder segments that are then aged at $175~ {mathrm {^{circ}C }}$ for a total time of 1000 h, with readouts every 50 or 100 h under scanning electron microscope (SEM). Additionally, trenches are milled in some samples using focused ion beam (FIB) to characterize the various material phases at the Cu-Sn junctions and monitor their growth with thermal aging. The observations from these investigations are reported, and a reaction-diffusion mechanism is proposed to explain the observed Cu-Sn IMC and void evolution due to thermal aging at elevated temperatures.
随着 2.5-D/3-D 封装中微凸点间距和尺寸的减小,伴随着铜锡金属间化合物 (IMC) 相的生长,焊点体积中的空洞演变成为潜在的可靠性问题,因此有必要进一步研究其根本机制。在这项研究中,设计并制造了测试设备来模拟尺寸为 30~mu $ m 的细间距微凸块的行为。因此,它们可以连续观察相演变。这些装置还消除了破坏性处理技术可能造成的信息丢失。每个制作好的测试设备都由多个带有不同尺寸锡焊段的铜-锡-铜接头组成,然后在 175~ {mathrm {^{circ}C }}$ 的温度下老化 1000 小时,每 50 或 100 小时在扫描电子显微镜 (SEM) 下读取一次数据。此外,还使用聚焦离子束 (FIB) 在一些样品上铣出沟槽,以确定铜锰结点上各种材料相的特征,并监测它们随热老化而增长的情况。报告了这些研究的观察结果,并提出了一种反应-扩散机制来解释所观察到的铜-锰 IMC 和高温热老化引起的空隙演变。
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引用次数: 0
Impacts of Pressure on the Stability of Chip Stack Structures in the Presence of Noncoplanar Cu Pillars 非共面铜柱存在时压力对芯片堆栈结构稳定性的影响
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-18 DOI: 10.1109/TCPMT.2024.3416108
Yu Li;Li Liu;Meng Ruan;Zhengzhi Wang;Sheng Liu;Zhiwen Chen
Cu-Cu bonding is widely used in 3-D stacking for chip interconnection. However, noncoplanarity of Cu pillars can significantly influence the reliability of the stacked chips. In this work, the impacts of bonding pressures on chip stacking with noncoplanar Cu pillars were investigated through finite element modeling and molecular dynamics (MDs) simulations. From finite element modeling, the maximum residual stress in the TSV was located in the bottom Cu pillar furthest from the center of the chip and increased with bonding pressure. It was also found that the overall warpage increased linearly with the number of chip layers initially and then stabilized when Cu pillars were noncoplanar. The linear increase rate raised with higher bonding pressure. Based on MDs simulations, the thickness of bonding layer in the shorter pillar increased continuously with bonding time and pressure. In contrast, the thickness in standard pillars grew over time and eventually stabilized. During this, the bonding pressure posed negligible effects on the bonding layer thickness in standard pillars, and dislocations were generally concentrated near the bonding layer, serving as channels for Cu atom diffusion into the bonding layer.
铜-铜键合广泛应用于芯片互连的三维堆叠。然而,铜柱的非共面性会严重影响堆叠芯片的可靠性。在这项工作中,我们通过有限元建模和分子动力学(MDs)模拟研究了键合压力对非共面铜柱芯片堆叠的影响。通过有限元建模,TSV 中的最大残余应力位于离芯片中心最远的底部铜柱,并随着键合压力的增加而增加。研究还发现,整体翘曲最初随芯片层数的增加而线性增加,当铜柱不共面时,整体翘曲趋于稳定。线性增加率随着键合压力的增加而增加。根据 MDs 模拟,短柱中的键合层厚度随着键合时间和压力的增加而持续增加。相比之下,标准支柱的厚度随着时间的推移而增加,并最终趋于稳定。在此期间,键合压力对标准柱中键合层厚度的影响微乎其微,位错一般集中在键合层附近,成为铜原子扩散到键合层的通道。
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引用次数: 0
Life Cycle Assessment (LCA) and Multicriteria Decision Making (MCDM): An Evaluation of Encapsulants for Power Electronics Packaging 生命周期评估 (LCA) 和多标准决策 (MCDM):电力电子封装用封装材料评估
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-13 DOI: 10.1109/TCPMT.2024.3413723
Jiaxuan Wang;Pan Liu
With the development of power electronics, there is an increasing demand for high-temperature packaging materials, especially for encapsulants such as calcium aluminate, phosphate cement-based materials (CEs), etc. Therefore, environmental impact analysis for such novel encapsulants becomes necessary. In this article, four encapsulation materials were first evaluated through life cycle assessment (LCA) for environmental impact, including three polymer-based materials, namely epoxy (EP) resin, polyurethane (PU), and silicone gel (SG) and a novel calcium aluminate CE, with the utilization of software Simapro and the method ReCiPe2016. The LCA revealed that CE emerged as the most environmentally friendly option, followed by EP, PU, and SG. The results of LCA, together with six other criteria, namely maximum operating temperature, coefficient of thermal expansion (CTE), thermal conductivity (TC), volume resistivity (R $_{mathrm {V}}$ ), viscosity, and costs, were further taken into account for a multicriteria decision making (MCDM) calculation for suitability. With the analytic hierarchy process (AHP) weighting method and the technique of order preference similarity to the ideal solution (TOPSIS) evaluation method applied, the MCDM results presented the preference ranking order of the encapsulants which was CE, EP, PU, SG. According to the findings from LCA and MCDM, CE received an outstanding evaluation result, which indicates its great potential as an encapsulation material for power electronics packaging.
随着电力电子技术的发展,对高温封装材料的需求越来越大,特别是对铝酸钙、磷酸盐水泥基材料(CE)等封装材料的需求。因此,有必要对这类新型封装材料进行环境影响分析。本文利用 Simapro 软件和 ReCiPe2016 方法,首先通过生命周期评估(LCA)对四种封装材料进行了环境影响评价,包括三种聚合物基材料,即环氧树脂(EP)、聚氨酯(PU)和硅凝胶(SG)以及一种新型铝酸钙基 CE。生命周期分析表明,CE 是最环保的选择,其次是 EP、PU 和 SG。生命周期评估的结果以及其他六项标准,即最高工作温度、热膨胀系数 (CTE)、热导率 (TC)、体积电阻率 (R $_{mathrm {V}}$ )、粘度和成本,被进一步纳入多标准决策 (MCDM) 计算的适用性考虑范围。采用层次分析法(AHP)加权法和与理想解相似度排序技术(TOPSIS)评价法,MCDM 结果显示封装剂的优选排序依次为 CE、EP、PU、SG。根据 LCA 和 MCDM 的结果,CE 获得了优异的评价结果,这表明其作为电力电子封装材料的巨大潜力。
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引用次数: 0
Effect of Thermal and Mechanical Stresses on Novel Microstrip Lines Printed on Flexible Substrates 热应力和机械应力对印刷在柔性基底上的新型微带线的影响
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-11 DOI: 10.1109/TCPMT.2024.3412740
Abdullah S. Obeidat;Emuobosan Enakerakpo;Ashraf Umar;Waleed Al-Shaibani;Mohamed Abdelatty;Sara Lieberman;Olya Noruz Shamsian;Riadh Al-Haidari;Mohammed Alhendi;Mark D. Poliks
Direct writing methods created a revolution in the electronic industry due to their lower cost, fast processing, and lower wasted material. Microstrip line is an important electronic component that transfers the signal and the foundation for the communication between multiple components in any circuit board. Therefore, studying its electromechanical behavior against thermal and mechanical stresses is necessary for real-life applications. In this research, novel microstrip lines were printed on “polyethylene terephthalate” (PET) and “polyimide” (PI) flexible substrates using an aerosol jet printer (AJP) and dispensing system (DS). An advanced posttreatment technique was used to enhance the conductivity of the microstrip lines printed on low glass transition flexible PET substrate. Different microstrip line designs with various mesh ground planes were tested under mild and harsh mechanical bending and different environmental conditions and their losses were characterized. The results showed that the photonic curing enhanced the microstrip lines conductivity by 65% compared to the convectional curing. The in situ resistance measurements during harsh bending demonstrated conclusively that the robustness of the printed microstrip lines increased as the filling percentage of the ground plane became lower. The aging at $85~^{circ }$ C/85% RH had a significantly stronger effect on the microstrip lines conductivity compared to the aging at $85~^{circ }$ C without humidity due to the changes in the printed ink’s microstructure and the increment in ionic conductivity. Thermal aging led to a reduction in the microstrip line’s ductility and the cracking became easier in the microstructure of the printed films. The resistance of a sample aged at $85~^{circ }$ C increased by 81.7% after 10000 bending cycles compared to only 20.5% for a sample without thermal aging. Such findings provide important guidelines for those designing flexible hybrid electronics and for manufacturers who seek the assurance of these technologies for both maturing and reliable products.
直接写入法因其成本低、处理速度快、材料浪费少而在电子工业中掀起了一场革命。微带线是传输信号的重要电子元件,也是电路板中多个元件之间通信的基础。因此,研究微带线在热应力和机械应力作用下的机电行为对于实际应用非常必要。在这项研究中,使用气溶胶喷射打印机(AJP)和点胶系统(DS)在 "聚对苯二甲酸乙二醇酯"(PET)和 "聚酰亚胺"(PI)柔性基板上打印了新型微带线。先进的后处理技术用于提高在低玻璃转化率柔性 PET 基材上打印的微带线的导电性。在轻微和剧烈的机械弯曲以及不同的环境条件下,对带有各种网状接地平面的不同微带线设计进行了测试,并对其损耗进行了表征。结果表明,与对流固化相比,光子固化将微带线的导电率提高了 65%。严酷弯曲过程中的现场电阻测量结果表明,印刷微带线的稳健性随着地平面填充率的降低而提高。在 85~^{circ }$ C/85% RH 条件下老化与不含湿度的 85~^{circ }$ C 条件下老化相比,对微带线电导率的影响要大得多,这是因为印刷油墨的微观结构发生了变化,离子电导率也增加了。热老化导致微带线的延展性降低,印刷薄膜的微观结构更容易开裂。在 85~^{circ }$ C 下老化的样品在经过 10000 次弯曲循环后,电阻增加了 81.7%,而未经过热老化的样品仅增加了 20.5%。这些发现为设计柔性混合电子产品的人员和寻求这些技术成熟可靠产品保证的制造商提供了重要指导。
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引用次数: 0
TC-GVF: Tensor Core GPU based Vector Fitting via Accelerated Tall-Skinny QR Solvers TC-GVF:通过加速高瘦QR求解器实现基于张量核心GPU的矢量拟合
IF 2.2 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-11 DOI: 10.1109/tcpmt.2024.3410298
Vinay Kukutla, Ramachandra Achar, Wai Kong Lee
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引用次数: 0
Analytical Solutions for Transient Thermal Spreading Resistance of a 3-D Flux Channel 三维流道瞬态热扩散阻力的分析解决方案
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-11 DOI: 10.1109/TCPMT.2024.3412794
Belal Al-Khamaiseh;Yuri S. Muzychka
In microelectronic devices, the moment a high-power current is transmitted into the system, heat is simultaneously generated, and the thermal field keeps developing until it reaches a steady-state field after a period of time. In this work, transient analytical solutions for the temperature field and thermal resistance of a rectangular 3-D flux channel are obtained. The flux channel is assumed to have a small heat source on the top surface, whereas convective effects are considered on the bottom surface and lateral edges. The time-dependent solutions are presented explicitly as infinite Fourier series forms. In addition, the solutions are also presented in dimensionless forms as generalized solutions. Moreover, an existing, well-established simple model that represents the profile of the transient thermal spreading resistance for a semi-infinite flux tube is used to verify the presented forms of the analytical solutions, and the results compare very well when considering a flux channel of large thickness. Further, the solutions are used to study the behavior of temperature and thermal resistance over time for some dimensional and nondimensional problems.
在微电子器件中,当大功率电流被传输到系统中时,同时会产生热量,热场不断发展,直到一段时间后达到稳态场。本研究获得了矩形三维通量通道的温度场和热阻的瞬态解析解。假设通量通道的顶面有一个小热源,而底面和侧边则考虑了对流效应。随时间变化的解以无穷傅里叶级数形式明确呈现。此外,这些解还以广义解的无量纲形式呈现。此外,我们还使用了一个现有的、成熟的简单模型,该模型表示了半无限通量管的瞬态热扩散阻力曲线,用于验证所呈现的分析解形式,当考虑大厚度通量通道时,结果对比非常好。此外,这些解法还被用于研究某些维度和非维度问题的温度和热阻随时间变化的行为。
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引用次数: 0
Improved Electrothermal Properties and High-Frequency Discharge Performance Verification of MWCNT/SiC Complex-Modified Silicone Gel 改良的 MWCNT/SiC 复合改性硅凝胶电热特性和高频放电性能验证
IF 2.3 3区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-06 DOI: 10.1109/TCPMT.2024.3410379
Wei Wang;Bei Li;Sigeng Li;Xincheng Wang;Yanfeng Gong;Jian Wang;Hanwen Ren;Qingmin Li
As power electronic devices continue to advance toward higher voltage and power levels, the issue of insulation failure in silicone gel package materials is becoming more noticeable. Therefore, there is a pressing need to develop a high-performance silicone potting material. This research presents the preparation of a silicone gel filled with multiwalled carbon nanotubes (MWCNTs) and micrometer silicon carbide (SiC) using the physical blending method. Then, the composite’s electrothermal properties and high-frequency partial discharge characteristics are explicitly investigated. The experimental findings indicate that when the MWCNT filling ratio increases from 0%vol to 0.7%vol, the modified silicone gel has pronounced nonlinear conductivity properties, reaching a maximum nonlinear coefficient of 9.34. The rise in shallow and deep trap density ratio expedites the dissipation rate of surface charge. Also, the thermal conductivity is also augmented by 59.38%. Nevertheless, the dielectric loss exhibits a progressive increase. Finally, the modified silicone gel was used in the potting package module, and high-frequency partial discharge experiments were conducted. It was found that the silicone gel filled with 0.3%vol MWCNT/9.7%vol SiC could effectively inhibit the partial discharge. This study will provide practical ideas and a theoretical basis for developing new high-performance insulating materials for the insulated-gate bipolar transistor (IGBT) package.
随着电力电子设备不断向更高电压和功率水平发展,硅凝胶封装材料的绝缘失效问题日益突出。因此,开发高性能硅胶灌封材料迫在眉睫。本研究采用物理混合法制备了一种填充了多壁碳纳米管(MWCNT)和微米碳化硅(SiC)的硅凝胶。然后,明确研究了该复合材料的电热性能和高频局部放电特性。实验结果表明,当 MWCNT 填充率从 0%vol 增加到 0.7%vol 时,改性硅凝胶具有明显的非线性导电特性,最大非线性系数达到 9.34。浅阱和深阱密度比的增加加快了表面电荷的耗散速度。此外,热导率也提高了 59.38%。然而,介电损耗却呈现出逐渐增加的趋势。最后,将改性硅凝胶用于灌封封装模块,并进行了高频局部放电实验。结果发现,填充了 0.3%vol MWCNT/9.7%vol SiC 的硅凝胶能有效抑制局部放电。这项研究将为开发用于绝缘栅双极晶体管(IGBT)封装的新型高性能绝缘材料提供实践思路和理论依据。
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引用次数: 0
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