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Aberration calculation of microlens array using differential algebraic method. 微透镜阵列像差的微分代数计算。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-03-01 Epub Date: 2024-11-30 DOI: 10.1016/j.ultramic.2024.114085
Jintao Hu, Lei Yue, Yihao Ma, Fu Liu, Yongfeng Kang

Microlens array (MLA), through which all the sub-beams are focused, is widely used in multi-electron-beam systems. In this work, based on the differential algebraic (DA) method, we propose an approach in calculating the high-order aberrations for both axial and off-axial microlenses, considering the multipole fields that are introduced by the neighborhood structures in MLA, as well as the rotationally symmetric field. To perform the DA calculation, the electric fields of the microlenses are analyzed by using the azimuthal Fourier analysis and the Fourier-Bessel series Expansion. The resulting field components, including both rotationally symmetric field and the multipole fields, are transferred into DA arguments and operated as per DA methodology. Then, by developing and employing the DA theory and algorithm, the primary and high-order aberrations are calculated and obtained simultaneously for both the axial and off-axial microlenses by tracing only one reference ray. Finally, we calculate, analyze and discuss the primary and high-order aberrations of two example MLAs, for both axial and off-axial microlenses. The effects of the dodecapole fields on the aberrations are also analyzed.

微透镜阵列(Microlens array, MLA)是多电子束系统中广泛使用的一种集中所有子光束的阵列。在本文中,我们基于微分代数(DA)方法,提出了一种计算轴向和离轴微透镜高阶像差的方法,考虑了MLA中邻域结构引入的多极场以及旋转对称场。利用方位角傅里叶分析和傅里叶-贝塞尔级数展开对微透镜的电场进行了分析。得到的场分量,包括旋转对称场和多极场,被转换成数据分析参数,并按照数据分析方法进行操作。然后,通过发展和应用DA理论和算法,通过只跟踪一条参考射线,同时计算和获得轴向和离轴微透镜的初级和高阶像差。最后,我们计算、分析和讨论了两个例子MLAs的一次像差和高阶像差,包括轴向和离轴微透镜。分析了十二极子场对像差的影响。
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引用次数: 0
Improved precision and accuracy of electron energy-loss spectroscopy quantification via fine structure fitting with constrained optimization. 基于约束优化的精细结构拟合提高了电子能量损失谱定量的精密度和准确度。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-03-01 Epub Date: 2024-12-05 DOI: 10.1016/j.ultramic.2024.114084
Daen Jannis, Wouter Van den Broek, Zezhong Zhang, Sandra Van Aert, Jo Verbeeck

By working out the Bethe sum rule, a boundary condition that takes the form of a linear equality is derived for the fine structure observed in ionization edges present in electron energy-loss spectra. This condition is subsequently used as a constraint in the estimation process of the elemental abundances, demonstrating starkly improved precision and accuracy and reduced sensitivity to the number of model parameters. Furthermore, the fine structure is reliably extracted from the spectra in an automated way, thus providing critical information on the sample's electronic properties that is hard or impossible to obtain otherwise. Since this approach allows dispensing with the need for user-provided input, a potential source of bias is prevented.

通过计算贝特求和规则,导出了电子能量损失谱中电离边缘精细结构的线性等式形式的边界条件。这一条件随后被用作元素丰度估算过程中的约束条件,显示出明显提高的精度和准确性,并降低了对模型参数数量的敏感性。此外,精细结构以自动化的方式可靠地从光谱中提取出来,从而提供了关于样品电子特性的关键信息,这些信息很难或不可能通过其他方式获得。由于这种方法可以不需要用户提供输入,因此可以防止潜在的偏见来源。
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引用次数: 0
Enhancing subsurface imaging in ultrasonic atomic force microscopy with optimized contact force. 优化接触力增强超声原子力显微镜的亚表面成像。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-03-01 Epub Date: 2024-12-08 DOI: 10.1016/j.ultramic.2024.114094
Mingyu Duan, Chengjian Wu, Jinyan Tang, Yuyang Wang, Shiquan Liu, Bing-Feng Ju, Yuan-Liu Chen

Ultrasonic atomic force microscopy (UAFM) is a powerful nondestructive subsurface imaging tool that is widely used to inspect material defects and analyze biological cells. The contrast in UAFM images, which is crucial for subsurface imaging quality, is directly influenced by the contact force between the probe and material. This contact force affects the subsurface contrast by influencing the propagation of the stress field from the vibrating probe into the material. Therefore, optimizing the contact force is essential for achieving superior subsurface contrast with better resolution and greater detectable depth. This paper proposes a model for determining the optimal contact force for high-contrast, high-resolution subsurface imaging. The model was designed to improve UAFM imaging across samples with a wide range of Young's moduli, from tens to hundreds of GPa. The use of this model resulted in significant improvements to imaging quality, with a detectable depth exceeding 337.7 nm and lateral resolution below 56.9 nm. Hence, this model demonstrates better results than experiments conducted under arbitrary contact forces. This study provides a pathway for optimizing subsurface imaging and delivering enhanced contrast, higher resolution, and greater detectable depth. Consequently, the results of this study contribute to the advancement of the capabilities of subsurface imaging techniques.

超声原子力显微镜(UAFM)是一种功能强大的无损次表面成像工具,被广泛用于检测材料缺陷和分析生物细胞。超声原子力显微镜图像的对比度对次表层成像质量至关重要,它直接受到探头与材料之间接触力的影响。这种接触力通过影响应力场从振动探头向材料的传播来影响次表层对比度。因此,优化接触力对于获得更好的次表层对比度、更高的分辨率和更大的可探测深度至关重要。本文提出了一个模型,用于确定高对比度、高分辨率次表层成像的最佳接触力。该模型的设计目的是改善具有广泛杨氏模量(从几十到几百 GPa)的样品的 UAFM 成像。该模型的使用大大提高了成像质量,可探测深度超过 337.7 纳米,横向分辨率低于 56.9 纳米。因此,与在任意接触力条件下进行的实验相比,该模型显示了更好的结果。这项研究为优化地表下成像、增强对比度、提高分辨率和增加可探测深度提供了一条途径。因此,这项研究的结果有助于提高地表下成像技术的能力。
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引用次数: 0
Relativistic EELS scattering cross-sections for microanalysis based on Dirac solutions. 基于Dirac解的相对论EELS微分析散射截面。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-03-01 Epub Date: 2024-12-02 DOI: 10.1016/j.ultramic.2024.114083
Zezhong Zhang, Ivan Lobato, Hamish Brown, Dirk Lamoen, Daen Jannis, Johan Verbeeck, Sandra Van Aert, Peter D Nellist

The rich information of electron energy-loss spectroscopy (EELS) comes from the complex inelastic scattering process whereby fast electrons transfer energy and momentum to atoms, exciting bound electrons from their ground states to higher unoccupied states. To quantify EELS, the common practice is to compare the cross-sections integrated within an energy window or fit the observed spectrum with theoretical differential cross-sections calculated from a generalized oscillator strength (GOS) database with experimental parameters. The previous Hartree-Fock-based and DFT-based GOS are calculated from Schrödinger's solution of atomic orbitals, which does not include the full relativistic effects. Here, we attempt to go beyond the limitations of the Schrödinger solution in the GOS tabulation by including the full relativistic effects using the Dirac equation within the local density approximation, which is particularly important for core-shell electrons of heavy elements with strong spin-orbit coupling. This has been done for all elements in the periodic table (up to Z = 118) for all possible excitation edges using modern computing capabilities and parallelization algorithms. The relativistic effects of fast incoming electrons were included to calculate cross-sections that are specific to the acceleration voltage. We make these tabulated GOS available under an open-source license to the benefit of both academic users and to allow integration into commercial solutions.

电子能量损失谱(EELS)的丰富信息来自于复杂的非弹性散射过程,即快速电子将能量和动量传递给原子,将束缚电子从基态激发到更高的未占据态。为了量化EELS,通常的做法是比较能量窗口内集成的横截面,或者将观测到的光谱与从具有实验参数的广义振荡器强度(GOS)数据库计算的理论微分横截面拟合。以前基于hartree - fock和dft的GOS是根据Schrödinger的原子轨道解计算的,没有包括完整的相对论效应。在这里,我们试图超越GOS表中Schrödinger解的局限性,利用Dirac方程在局部密度近似中包含完整的相对论效应,这对于具有强自旋轨道耦合的重元素的核壳电子尤其重要。使用现代计算能力和并行化算法,对周期表中所有可能的激发边的所有元素(直到Z = 118)都进行了此操作。为了计算特定于加速电压的截面,考虑了快速进入电子的相对论效应。我们在开源许可下提供这些表格GOS,以使学术用户受益,并允许集成到商业解决方案中。
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引用次数: 0
Workflow automation of SEM acquisitions and feature tracking. SEM获取和特征跟踪的工作流自动化。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-03-01 Epub Date: 2024-12-08 DOI: 10.1016/j.ultramic.2024.114093
Sabrina Clusiau, Nicolas Piché, Nicolas Brodusch, Mike Strauss, Raynald Gauvin

Acquiring multiple high magnification, high resolution images with scanning electron microscopes (SEMs) for quantitative analysis is a time consuming and repetitive task for microscopists. We propose a workflow to automate SEM image acquisition and demonstrate its use in the context of nanoparticle (NP) analysis. Acquiring multiple images of this type of specimen is necessary to obtain a complete and proper characterization of the NP population and obtain statistically representative results. Indeed, a single high magnification image only scans a small area of sample, containing only few NPs. The proposed workflow is successfully applied to obtain size distributions from image montages at three different magnifications (20,000x, 60,000x and 200,000x) on the same area of the sample using a Python based script. The automated workflow consists of sequential repositioning of the electron beam, stitching of adjacent images, feature segmentation, and NP size computation. Results show that NPs are best characterized at higher magnifications, since lower magnifications are limited by their pixel size. Increased accuracy of feature characterization at high magnification highlights the importance of automation: many high-magnification acquisitions are required to cover a similar area of the sample at low magnification. Therefore, we also present feature tracking with smart beam positioning as an alternative to blind acquisition of very large image arrays. Feature tracking is achieved by integrating microscope tasks with image processing tasks, and only areas of interest will be imaged at high resolution, reducing total acquisition duration.

使用扫描电子显微镜(sem)获取多个高倍率,高分辨率的图像进行定量分析是一项耗时且重复的任务。我们提出了一种自动化扫描电镜图像采集的工作流程,并演示了其在纳米颗粒(NP)分析中的应用。获取该类型标本的多个图像是必要的,以获得NP种群的完整和适当的特征,并获得具有统计学代表性的结果。事实上,一张高倍图像只扫描一小块样本区域,只包含少量np。所提出的工作流程成功地应用于使用基于Python的脚本在样本的同一区域上以三种不同的放大倍数(20,000倍,60,000倍和200,000倍)从图像蒙太奇中获得大小分布。自动化工作流程包括电子束的顺序重新定位、相邻图像的拼接、特征分割和NP大小计算。结果表明,NPs在较高的放大倍率下表现最好,因为较低的放大倍率受到其像素大小的限制。在高放大倍率下,特征表征的准确性提高,突出了自动化的重要性:在低放大倍率下,许多高放大倍率的采集需要覆盖样品的类似区域。因此,我们也提出了智能波束定位的特征跟踪,作为盲目获取超大图像阵列的替代方案。特征跟踪是通过集成显微镜任务和图像处理任务来实现的,只有感兴趣的区域才会以高分辨率成像,从而减少了总采集时间。
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引用次数: 0
Effects of laser wavelength and pulse energy on the evaporation behavior of TiN coatings in atom probe tomography: A multi-instrument study. 激光波长和脉冲能量对原子探针层析TiN涂层蒸发行为的影响:多仪器研究。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-01-17 DOI: 10.1016/j.ultramic.2025.114105
Maximilian Schiester, Helene Waldl, Katherine P Rice, Marcus Hans, Daniel Primetzhofer, Nina Schalk, Michael Tkadletz

The impact of the laser wavelength on accuracy in elemental composition analysis in atom probe tomography (APT) was investigated. Three different commercial atom probe systems - LEAP 3000X HR, LEAP 5000 XR, and LEAP 6000 XR - were systematically compared for a TiN model coating studying the effect of shorter laser wavelengths, especially in the deep ultraviolet (DUV) range, on the evaporation behavior. The findings demonstrate that the use of shorter wavelengths enhances the accuracy in elemental composition, while maintaining similar electric field strengths. Thus, thermal effects are reduced, which in turn improves mass resolving power. An important aspect of this research includes the estimation of energy density ratios of the different instruments. The reduction in wavelength is accompanied by increasing energy densities due to smaller laser spot sizes. Furthermore, advancements in the detector technology were studied. Finally, the detector dead-times were determined and dead-zones were evaluated to investigate the ion pile-up behavior in APT measurements of nitrides with the LEAP 6000 XR.

研究了激光波长对原子探针层析(APT)元素组成分析精度的影响。采用LEAP 3000X HR、LEAP 5000 XR和LEAP 6000 XR三种不同的商用原子探针系统对TiN模型涂层进行了系统比较,研究了较短激光波长,特别是深紫外(DUV)范围内激光波长对蒸发行为的影响。研究结果表明,使用较短的波长可以提高元素组成的准确性,同时保持相似的电场强度。因此,减少了热效应,从而提高了质量分辨能力。本研究的一个重要方面包括估算不同仪器的能量密度比。由于激光光斑尺寸较小,波长的减小伴随着能量密度的增加。此外,还研究了探测器技术的进展。最后,确定了探测器的死区时间,并评估了死区,以研究LEAP 6000 XR在氮化物APT测量中的离子堆积行为。
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引用次数: 0
Site-specific plan-view (S)TEM sample preparation from thin films using a dual-beam FIB-SEM. 使用双光束FIB-SEM从薄膜中制备特定位置的平面视图(S)TEM样品。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-01-13 DOI: 10.1016/j.ultramic.2025.114104
Supriya Ghosh, Fengdeng Liu, Sreejith Nair, Rishi Raj, Bharat Jalan, K Andre Mkhoyan

To fully evaluate the atomic structure, and associated properties of materials using transmission electron microscopy, examination of samples from three non-collinear orientations is needed. This is particularly challenging for thin films and nanoscale devices built on substrates due to limitations with plan-view sample preparation. In this work, a new method for preparation of high-quality, site-specific, plan-view TEM samples from thin-films grown on substrates, is presented and discussed. It is based on using a dual-beam focused ion beam scanning electron microscope (FIB-SEM) system. To demonstrate the method, the samples were prepared from thin films of perovskite oxide BaSnO3 grown on a SrTiO3 substrate and metal oxide IrO2 on a TiO2 substrate, ranging from 20-80 nm in thicknesses using molecular beam epitaxy. While the method is optimized for the thin films, it can be extended to other site-specific plan-view samples and devices build on wafers. Aberration-corrected STEM was used to evaluate the quality of the samples and their applicability for atomic-resolution imaging and analysis.

为了充分评估原子结构,并使用透射电子显微镜材料的相关性质,从三个非共线取向的样品检查是必要的。由于平面视图样品制备的限制,这对于建立在衬底上的薄膜和纳米级器件尤其具有挑战性。在这项工作中,提出并讨论了一种从衬底上生长的薄膜制备高质量,特定位置,平面视图TEM样品的新方法。它是基于使用双光束聚焦离子束扫描电子显微镜(FIB-SEM)系统。为了证明该方法的可行性,研究人员利用分子束外延技术,在SrTiO3衬底上生长钙钛矿氧化物BaSnO3薄膜,在TiO2衬底上生长金属氧化物IrO2薄膜,制备了厚度为20-80 nm的样品。虽然该方法针对薄膜进行了优化,但它可以扩展到其他特定地点的平面视图样品和晶圆上的器件。采用像差校正后的STEM来评价样品的质量及其在原子分辨率成像和分析中的适用性。
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引用次数: 0
Semicircular-aperture illumination scanning transmission electron microscopy. 半圆孔径照明扫描透射电子显微镜。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-01-13 DOI: 10.1016/j.ultramic.2025.114103
Akira Yasuhara, Fumio Hosokawa, Sadayuki Asaoka, Teppei Akiyama, Tomokazu Iyoda, Chikako Nakayama, Takumi Sannomiya

Scanning transmission electron microscopy (STEM) provides high-resolution visualization of atomic structures as well as various functional imaging modes utilizing phase contrasts. In this study we introduce a semicircular aperture in STEM bright field imaging, which gives a phase contrast transfer function that becomes complex and includes both lower and higher spatial frequency contrast transfer. This approach offers significant advantages over conventional phase plate methods, having no charge accumulation, degradation, or unwanted background noise, which are all problematic in the phase plate material. Also compared to the differential phase contrast or ptychography equipment, this semicircular aperture is far less costly. We apply this approach to visualization of polymer, biological and magnetic samples.

扫描透射电子显微镜(STEM)提供高分辨率的原子结构可视化以及利用相对比的各种功能成像模式。在这项研究中,我们在STEM亮场成像中引入了一个半圆孔径,它给出了一个复杂的相对比度传递函数,包括低频率和高频率的空间对比度传递。与传统的相板方法相比,这种方法具有显著的优势,没有电荷积累、退化或不必要的背景噪声,这些都是相板材料中的问题。此外,与差相对比或平面摄影设备相比,这种半圆孔径的成本要低得多。我们将这种方法应用于聚合物、生物和磁性样品的可视化。
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引用次数: 0
An applied noise model for low-loss EELS maps. 低损耗EELS地图的应用噪声模型。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-01-13 DOI: 10.1016/j.ultramic.2024.114101
Christian Zietlow, Jörg K N Lindner

Electron energy-loss spectroscopy (EELS) performed in a scanning transmission electron microscope (STEM) is susceptible to noise, just like every other measurement. EELS measurements are also affected by signal blurring, related to the energy distribution of the electron beam and the detector point spread function (PSF). Moreover, the signal blurring caused by the detector introduces correlation effects, which smooth the noise. A general understanding of the noise is essential for evaluating the quality of measurements or for designing more effective post-processing techniques such as deconvolution, which especially in the context of EELS is a common practice to enhance signals. Therefore, we offer theoretical insight into the noise smoothing by convolution and characterize the resulting noise correlations by Pearson coefficients. Additional effects play a role in EELS mapping, where multiple spectra are acquired sequentially at various specimen positions. These three-dimensional datasets are affected by energy drifts of the electron beam, causing spectra to shift relative to each other, and by beam current deviations, which alter their relative proportion. We investigate several energy alignment techniques to correct energy drifts on a sub-channel level and describe the intensity normalization necessary to correct for beam current deviations. Both procedures affect noises and uncertainties of the measurement to various degrees. In this paper, we mathematically derive an applied noise model for EELS measurements, which is straightforward to use. Therefore, we provide the necessary methods to determine the most important noise parameters of the EELS detector enabling users to adapt the model. In summary, we aim to provide a comprehensive understanding of the noises faced in EELS and offer the necessary tools to apply this knowledge in practice.

在扫描透射电子显微镜(STEM)中进行的电子能量损失光谱(EELS)与其他测量一样容易受到噪声的影响。EELS测量也受到信号模糊的影响,这与电子束的能量分布和检波器点扩展函数(PSF)有关。此外,探测器引起的信号模糊引入了相关效应,从而平滑了噪声。对噪声的一般理解对于评估测量质量或设计更有效的后处理技术(如反褶积)至关重要,特别是在EELS的背景下,这是增强信号的常用做法。因此,我们提供了对卷积噪声平滑的理论见解,并通过皮尔逊系数表征了产生的噪声相关性。附加效应在EELS制图中发挥作用,在不同的样品位置依次获得多个光谱。这些三维数据集受到电子束能量漂移和电子束电流偏差的影响,电子束的能量漂移会导致光谱相对偏移,电子束电流偏差会改变它们的相对比例。我们研究了几种能量对准技术来纠正子通道水平上的能量漂移,并描述了纠正光束电流偏差所需的强度归一化。这两种方法对测量噪声和不确定度都有不同程度的影响。在本文中,我们从数学上推导了一个用于EELS测量的应用噪声模型,该模型易于使用。因此,我们提供了必要的方法来确定EELS检测器最重要的噪声参数,使用户能够适应模型。总之,我们的目标是提供对EELS中所面临的噪声的全面理解,并提供在实践中应用这些知识的必要工具。
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引用次数: 0
Improving the accuracy of temperature measurement on TEM samples using plasmon energy expansion thermometry (PEET): Addressing sample thickness effects. 利用等离子体能量膨胀测温仪(PEET)提高TEM样品温度测量的准确性:解决样品厚度效应。
IF 2.1 3区 工程技术 Q2 MICROSCOPY Pub Date : 2025-01-04 DOI: 10.1016/j.ultramic.2025.114102
Yi-Chieh Yang, Luca Serafini, Nicolas Gauquelin, Johan Verbeeck, Joerg R Jinschek

Advances in analytical scanning transmission electron microscopy (STEM) and in microelectronic mechanical systems (MEMS) based microheaters have enabled in-situ materials' characterization at the nanometer scale at elevated temperature. In addition to resolving the structural information at elevated temperatures, detailed knowledge of the local temperature distribution inside the sample is essential to reveal thermally induced phenomena and processes. Here, we investigate the accuracy of plasmon energy expansion thermometry (PEET) as a method to map the local temperature in a tungsten (W) lamella in a range between room temperature and 700 °C. In particular, we address the influence of sample thickness in the range of a typical electron-transparent TEM sample (from 30 nm to 70 nm) on the temperature-dependent plasmon energy. The shift in plasmon energy, used to determine the local sample temperature, is not only temperature-dependent, but in case of W also seems thickness-dependent in sample thicknesses below approximately 60 nm. It is believed that the underlying reason is the high susceptibility of the regions with thinner sample thickness to strain from residual load induced during FIB deposition, together with increased thermal expansion in these areas due to their higher surface-to-volume ratio. The results highlight the importance of considering sample thickness (and especially thickness variations) when analyzing the local bulk plasmon energy for temperature measurement using PEET. However, in case of W, an increasing beam broadening (FWHM) of the bulk plasmon peak with decreasing sample thickness can be used to improve the accuracy of PEET in TEM lamellae with varying sample thickness.

分析扫描透射电子显微镜(STEM)和基于微电子机械系统(MEMS)的微加热器的进步使材料在高温下的纳米尺度上的原位表征成为可能。除了在高温下解析结构信息外,样品内部局部温度分布的详细知识对于揭示热诱导现象和过程至关重要。在这里,我们研究了等离子体能量膨胀测温(PEET)作为一种在室温到700°C范围内绘制钨(W)片层局部温度的方法的准确性。特别地,我们讨论了典型电子透明TEM样品(从30 nm到70 nm)范围内样品厚度对温度相关等离子体能量的影响。用于确定局部样品温度的等离子体能量的位移不仅与温度有关,而且在W的情况下,在样品厚度低于约60 nm时似乎也与厚度有关。据认为,其根本原因是样品厚度较薄的区域对FIB沉积过程中引起的残余载荷应变的敏感性较高,同时由于其较高的表面体积比,这些区域的热膨胀增加。结果强调了在使用PEET分析局部体等离子体能量用于温度测量时考虑样品厚度(特别是厚度变化)的重要性。然而,在W情况下,随着样品厚度的减小,体等离子体峰的波束展宽(FWHM)可以用来提高不同样品厚度的TEM片层中PEET的精度。
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引用次数: 0
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Ultramicroscopy
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