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Toward ultrafast magnetic depth profiling using time-resolved x-ray resonant magnetic reflectivity. 利用时间分辨 X 射线共振磁反射率实现超快磁深度剖析。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-06-23 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000109
Valentin Chardonnet, Marcel Hennes, Romain Jarrier, Renaud Delaunay, Nicolas Jaouen, Marion Kuhlmann, Nagitha Ekanayake, Cyril Léveillé, Clemens von Korff Schmising, Daniel Schick, Kelvin Yao, Xuan Liu, Gheorghe S Chiuzbăian, Jan Lüning, Boris Vodungbo, Emmanuelle Jal

During the last two decades, a variety of models have been developed to explain the ultrafast quenching of magnetization following femtosecond optical excitation. These models can be classified into two broad categories, relying either on a local or a non-local transfer of angular momentum. The acquisition of the magnetic depth profiles with femtosecond resolution, using time-resolved x-ray resonant magnetic reflectivity, can distinguish local and non-local effects. Here, we demonstrate the feasibility of this technique in a pump-probe geometry using a custom-built reflectometer at the FLASH2 free-electron laser (FEL). Although FLASH2 is limited to the production of photons with a fundamental wavelength of 4 nm ( 310 eV ), we were able to probe close to the Fe L 3 edge ( 706.8 eV ) of a magnetic thin film employing the third harmonic of the FEL. Our approach allows us to extract structural and magnetic asymmetry signals revealing two dynamics on different time scales which underpin a non-homogeneous loss of magnetization and a significant dilation of 2 Å of the layer thickness followed by oscillations. Future analysis of the data will pave the way to a full quantitative description of the transient magnetic depth profile combining femtosecond with nanometer resolution, which will provide further insight into the microscopic mechanisms underlying ultrafast demagnetization.

在过去二十年里,人们开发了多种模型来解释飞秒光激发后磁化的超快淬灭。这些模型可分为两大类,分别依赖于角动量的局部或非局部转移。利用时间分辨 X 射线共振磁反射率获取飞秒分辨率的磁深度剖面图,可以区分局部效应和非局部效应。在此,我们利用 FLASH2 自由电子激光器(FEL)上的定制反射仪,在泵浦探针几何中演示了这一技术的可行性。虽然FLASH2仅限于产生基本波长为4纳米(≃ 310 eV)的光子,但我们能够利用FEL的三次谐波探测磁性薄膜的铁L 3边缘(706.8 eV)。我们的方法使我们能够提取结构和磁不对称信号,揭示出不同时间尺度上的两种动态,它们支撑着非均质磁化损失和磁层厚度 2 Å 的显著扩张,随后是振荡。未来对数据的分析将为结合飞秒和纳米分辨率对瞬态磁深度剖面进行全面定量描述铺平道路,这将为深入了解超快退磁的微观机制提供更多信息。
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引用次数: 0
Ultrafast strain propagation and acoustic resonances in nanoscale bilayer systems. 纳米级双层体系中的超快应变传播和声共振。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-06-18 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000079
N Bach, S Schäfer

Ultrafast structural probing has greatly enhanced our understanding of the coupling of atomic motion to electronic and phononic degrees-of-freedom in quasi-bulk materials. In bi- and multilayer model systems, additionally, spatially inhomogeneous relaxation channels are accessible, often governed by pronounced interfacial couplings and local excitations in confined geometries. Here, we systematically explore the key dependencies of the low-frequency acoustic phonon spectrum in an elastically mismatched metal/semiconductor bilayer system optically excited by femtosecond laser pulses. We track the spatiotemporal strain wave propagation in the heterostructure employing a discrete numerical linear chain simulation and access acoustic wave reflections and interfacial couplings with a phonon mode description based on a continuum mechanics model. Due to the interplay of elastic properties and mass densities of the two materials, acoustic resonance frequencies of the heterostructure significantly differ from breathing modes in monolayer films. For large acoustic mismatch, the spatial localization of phonon eigenmodes is derived from analytical approximations and can be interpreted as harmonic oscillations in decoupled mechanical resonators.

超快结构探测大大增强了我们对准大容量材料中原子运动与电子和声子自由度耦合的理解。此外,在双层和多层模型系统中,还可以获得空间不均匀的弛豫通道,这些通道通常由明显的界面耦合和受限几何中的局部激发所支配。在这里,我们系统地探讨了在飞秒激光脉冲的光学激发下,弹性不匹配金属/半导体双层体系中低频声子谱的关键依赖性。我们采用离散数值线性链模拟跟踪异质结构中的时空应变波传播,并通过基于连续介质力学模型的声子模式描述来获取声波反射和界面耦合。由于两种材料的弹性特性和质量密度的相互作用,异质结构的声共振频率与单层薄膜的呼吸模式有很大不同。对于大的声学失配,声子特征模型的空间定位是通过分析近似得出的,可以解释为解耦机械谐振器中的谐波振荡。
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引用次数: 0
A novel free-electron laser single-pulse Wollaston polarimeter for magneto-dynamical studies. 用于磁动力学研究的新型自由电子激光单脉冲沃拉斯顿偏振计。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-06-18 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000104
Antonio Caretta, Simone Laterza, Valentina Bonanni, Rudi Sergo, Carlo Dri, Giuseppe Cautero, Fabio Galassi, Matteo Zamolo, Alberto Simoncig, Marco Zangrando, Alessandro Gessini, Simone Dal Zilio, Roberto Flammini, Paolo Moras, Alexander Demidovich, Miltcho Danailov, Fulvio Parmigiani, Marco Malvestuto

Here, we report on the conceptual design, the hardware realization, and the first experimental results of a novel and compact x-ray polarimeter capable of a single-pulse linear polarization angle detection in the extreme ultraviolet photon energy range. The polarimeter is tested by performing time resolved pump-probe experiments on a Ni80Fe20 Permalloy film at the M2,3 Ni edge at an externally seeded free-electron laser source. Comparison with similar experiments reported in the literature shows the advantages of our approach also in view of future experiments.

在这里,我们报告了一种新型和紧凑的x射线偏振计的概念设计、硬件实现和第一个实验结果,该偏振计能够在极紫外光子能量范围内进行单脉冲线性偏振角检测。在外源自由电子激光源下,在M2,3 Ni边缘的Ni80Fe20 Permalloy薄膜上进行了时间分辨泵浦探针实验,对偏振仪进行了测试。与文献中报道的类似实验相比,我们的方法具有优势,并考虑到未来的实验。
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引用次数: 2
Ultrafast strong-field dissociation of vinyl bromide: An attosecond transient absorption spectroscopy and non-adiabatic molecular dynamics study. 乙烯基溴的超快强场解离:阿秒瞬态吸收光谱和非绝热分子动力学研究。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-06-15 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000102
Florian Rott, Maurizio Reduzzi, Thomas Schnappinger, Yuki Kobayashi, Kristina F Chang, Henry Timmers, Daniel M Neumark, Regina de Vivie-Riedle, Stephen R Leone

Attosecond extreme ultraviolet (XUV) and soft x-ray sources provide powerful new tools for studying ultrafast molecular dynamics with atomic, state, and charge specificity. In this report, we employ attosecond transient absorption spectroscopy (ATAS) to follow strong-field-initiated dynamics in vinyl bromide. Probing the Br M edge allows one to assess the competing processes in neutral and ionized molecular species. Using ab initio non-adiabatic molecular dynamics, we simulate the neutral and cationic dynamics resulting from the interaction of the molecule with the strong field. Based on the dynamics results, the corresponding time-dependent XUV transient absorption spectra are calculated by applying high-level multi-reference methods. The state-resolved analysis obtained through the simulated dynamics and related spectral contributions enables a detailed and quantitative comparison with the experimental data. The main outcome of the interaction with the strong field is unambiguously the population of the first three cationic states, D 1, D 2, and D 3. The first two show exclusively vibrational dynamics while the D 3 state is characterized by an ultrafast dissociation of the molecule via C-Br bond rupture within 100 fs in 50% of the analyzed trajectories. The combination of the three simulated ionic transient absorption spectra is in excellent agreement with the experimental results. This work establishes ATAS in combination with high-level multi-reference simulations as a spectroscopic technique capable of resolving coupled non-adiabatic electronic-nuclear dynamics in photoexcited molecules with sub-femtosecond resolution.

阿秒极紫外(XUV)和软x射线源为研究具有原子、状态和电荷特异性的超快分子动力学提供了强大的新工具。在本报告中,我们采用阿秒瞬态吸收光谱(ATAS)来跟踪乙烯基溴的强场启动动力学。探测Br M边缘允许人们评估中性和电离分子物种的竞争过程。利用从头算非绝热分子动力学,模拟了分子与强场相互作用所产生的中性和阳离子动力学。在动力学结果的基础上,采用高水平多参考方法计算了相应的随时间变化的XUV瞬态吸收光谱。通过模拟动力学和相关光谱贡献获得的状态分辨分析可以与实验数据进行详细和定量的比较。与强场相互作用的主要结果无疑是前三个阳离子态d1、d2和d3的占比。前两种状态完全表现为振动动力学,而三维状态的特征是在50%的分析轨迹中,在100秒内通过C-Br键断裂导致分子的超快解离。三种模拟离子瞬态吸收光谱的组合与实验结果非常吻合。这项工作将ATAS与高水平多参考模拟相结合,作为一种光谱技术,能够以亚飞秒分辨率分辨光激发分子中耦合的非绝热电子-核动力学。
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引用次数: 4
Design and characterization of a magnetic bottle electron spectrometer for time-resolved extreme UV and X-ray photoemission spectroscopy of liquid microjets. 用于液体微射流时间分辨极紫外和x射线光发射光谱的磁瓶电子能谱仪的设计与表征。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-06-09 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000107
Naoya Kurahashi, Stephan Thürmer, Suet Yi Liu, Yo-Ichi Yamamoto, Shutaro Karashima, Atanu Bhattacharya, Yoshihiro Ogi, Takuya Horio, Toshinori Suzuki

We describe a magnetic bottle time-of-flight electron spectrometer designed for time-resolved photoemission spectroscopy of a liquid microjet using extreme UV and X-ray radiation. The spectrometer can be easily reconfigured depending on experimental requirements and the energy range of interest. To improve the energy resolution at high electron kinetic energy, a retarding potential can be applied either via a stack of electrodes or retarding mesh grids, and a flight-tube extension can be attached to increase the flight time. A gated electron detector was developed to reject intense parasitic signal from light scattered off the surface of the cylindrically shaped liquid microjet. This detector features a two-stage multiplication with a microchannel plate plus a fast-response scintillator followed by an image-intensified photon detector. The performance of the spectrometer was tested at SPring-8 and SACLA, and time-resolved photoelectron spectra were measured for an ultrafast charge transfer to solvent reaction in an aqueous NaI solution with a 200 nm UV pump pulses from a table-top ultrafast laser and the 5.5 keV hard X-ray probe pulses from SACLA.

我们描述了一个磁瓶飞行时间电子能谱仪设计用于时间分辨光发射光谱的液体微射流使用极端紫外和x射线辐射。该光谱仪可以很容易地重新配置,根据实验要求和感兴趣的能量范围。为了提高高电子动能下的能量分辨率,可以通过电极堆叠或延迟网格施加延迟电位,并可以附加飞行管延长以增加飞行时间。为了抑制圆柱状液体微射流表面散射光产生的强寄生信号,研制了一种门控电子探测器。该探测器的特点是两级乘法与微通道板加一个快速响应闪烁体,然后是一个图像增强光子探测器。利用台式超快激光器的200 nm紫外泵浦脉冲和SACLA的5.5 keV硬x射线探针脉冲测量了NaI水溶液中超快电荷转移到溶剂反应的时间分辨光电子能谱。
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引用次数: 9
The mechanisms of a bifunctional fluorescent probe for detecting fluoride and sulfite based on excited-state intramolecular proton transfer and intramolecular charge transfer. 基于激发态分子内质子转移和分子内电荷转移的双功能荧光探针检测氟化物和亚硫酸盐的机制。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-05-27 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000095
Xueli Jia, Yonggang Yang, Hongsheng Zhai, Qingqing Zhang, Yuanyuan He, Yang Liu, Yufang Liu

The mechanisms of 2-(Benzo[d]thiazol-2-yl)phenol-based bifunctional probe (HBT-FS) for detecting fluoride (F-) and sulfite (SO3 2-) based on excited-state intramolecular proton transfer (ESIPT) and intramolecular charge transfer (ICT) have been theoretically studied. Laplacian bond order of HBT-FS indicates that the F- ion cleaves the Si-O bond and then forms Compound 2 possessing a six-membered ring with a hydrogen bond. Potential energy curves and dynamic simulations confirm that ESIPT in Compound 2 occurs along with this hydrogen bond and forms a keto structure with an emission at 623 nm, which agrees with the observed experimental value (634 nm) after adding F-. Therefore, the fluorescence red-shift (from 498  to 634 nm) of HBT-FS observed in experiment after adding F- is caused by ESIPT. The SO3 2- ion is added to the C5 site of HBT-FS, which is confirmed by orbital-weighted dual descriptor, and then forms Compound 3 with fluorescence located at 404 nm. The experimentally measured fluorescence at 371 nm after adding SO3 2- is assigned to Compound 3. Charge transfer analyses indicate that the ICT extent of Compound 3 is relatively weak compared with that of HBT-FS because of the destruction of the conjugated structure by the addition reaction of SO3 2-, which induces the blue-shift of the fluorescence of HBT-FS from 498 to 371 nm. The different fluorescence responses make HBT-FS a fluorescent probe to discriminatorily detect F- and SO3 2-.

从理论上研究了基于激发态分子内质子转移(ESIPT)和分子内电荷转移(ICT)的2-(苯并[d]噻唑-2-基)酚基双功能探针(HBT-FS)检测氟化物(F-)和亚硫酸盐(so32 -)的机理。HBT-FS的拉普拉斯键序表明,F离子裂解Si-O键,形成具有六元环和氢键的化合物2。势能曲线和动力学模拟证实,化合物2中的ESIPT与该氢键一起发生,形成酮结构,发射波长为623 nm,与加入F-后的实验观测值(634 nm)一致。因此,实验中观察到的加入F-后HBT-FS的荧光红移(从498到634 nm)是由ESIPT引起的。将so32 -离子加入到HBT-FS的C5位点上,通过轨道加权双描述子证实了这一点,形成了荧光位于404 nm的化合物3。化合物3在加入so32 -后的371 nm处的荧光实验测定。电荷转移分析表明,由于so32 -的加成反应破坏了化合物3的共轭结构,使得化合物3的ICT程度较HBT-FS弱,导致HBT-FS的荧光从498 nm蓝移至371 nm。不同的荧光响应使HBT-FS成为区分检测F-和so32 -的荧光探针。
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引用次数: 8
Ultrafast time-resolved x-ray absorption spectroscopy of ionized urea and its dimer through ab initio nonadiabatic dynamics. 通过 ab initio 非绝热动力学对电离脲及其二聚体进行超快时间分辨 X 射线吸收光谱分析。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-05-12 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000076
Yashoj Shakya, Ludger Inhester, Caroline Arnold, Ralph Welsch, Robin Santra

Investigating the early dynamics of chemical systems following ionization is essential for our understanding of radiation damage. However, experimental as well as theoretical investigations are very challenging due to the complex nature of these processes. Time-resolved x-ray absorption spectroscopy on a femtosecond timescale, in combination with appropriate simulations, is able to provide crucial insights into the ultrafast processes that occur upon ionization due to its element-specific probing nature. In this theoretical study, we investigate the ultrafast dynamics of valence-ionized states of urea and its dimer employing Tully's fewest switches surface hopping approach using Koopmans' theorem to describe the ionized system. We demonstrate that following valence ionization through a pump pulse, the time-resolved x-ray absorption spectra at the carbon, nitrogen, and oxygen K-edges reveal rich insights into the dynamics. Excited states of the ionized system give rise to time-delayed blueshifts in the x-ray absorption spectra as a result of electronic relaxation dynamics through nonadiabatic transitions. Moreover, our statistical analysis reveals specific structural dynamics in the molecule that induce time-dependent changes in the spectra. For the urea monomer, we elucidate the possibility to trace effects of specific molecular vibrations in the time-resolved x-ray absorption spectra. For the urea dimer, where ionization triggers a proton transfer reaction, we show how the x-ray absorption spectra can reveal specific details on the progress of proton transfer.

研究电离后化学体系的早期动力学对我们了解辐射损伤至关重要。然而,由于这些过程的复杂性,实验和理论研究都非常具有挑战性。飞秒时间尺度的时间分辨 X 射线吸收光谱与适当的模拟相结合,能够提供电离后发生的超快过程的重要见解,因为它具有特定元素探测的性质。在这项理论研究中,我们采用 Tully 的最少开关表面跳跃方法,利用 Koopmans 定理来描述脲及其二聚物的价电离态的超快动力学。我们证明,在通过泵脉冲进行价电离之后,碳、氮和氧 K 边的时间分辨 X 射线吸收光谱揭示了丰富的动力学信息。电离体系的激发态通过非绝热跃迁的电子弛豫动力学,在 X 射线吸收光谱中产生了延时蓝移。此外,我们的统计分析还揭示了分子中的特定结构动力学,这些动力学会引起光谱的时变。对于脲单体,我们阐明了在时间分辨 X 射线吸收光谱中追踪特定分子振动效应的可能性。对于电离引发质子转移反应的脲二聚体,我们展示了 X 射线吸收光谱如何揭示质子转移过程的具体细节。
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引用次数: 0
Capturing fingerprints of conical intersection: Complementary information of non-adiabatic dynamics from linear x-ray probes. 捕捉锥形交点的指纹:线性 X 射线探针提供的非绝热动力学补充信息。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-05-03 eCollection Date: 2021-05-01 DOI: 10.1063/4.0000093
Deependra Jadoun, Mahesh Gudem, Markus Kowalewski

Many recent experimental ultrafast spectroscopy studies have hinted at non-adiabatic dynamics indicating the existence of conical intersections, but their direct observation remains a challenge. The rapid change of the energy gap between the electronic states complicated their observation by requiring bandwidths of several electron volts. In this manuscript, we propose to use the combined information of different x-ray pump-probe techniques to identify the conical intersection. We theoretically study the conical intersection in pyrrole using transient x-ray absorption, time-resolved x-ray spontaneous emission, and linear off-resonant Raman spectroscopy to gather evidence of the curve crossing.

最近的许多超快光谱实验研究都暗示了锥形交点存在的非绝热动态,但直接观测锥形交点仍然是一项挑战。电子态之间能隙的快速变化要求几个电子伏特的带宽,从而使其观测变得复杂。在本手稿中,我们提出利用不同 X 射线泵浦探针技术的综合信息来识别锥形交点。我们使用瞬态 X 射线吸收、时间分辨 X 射线自发辐射和线性非共振拉曼光谱对吡咯中的锥形交叉点进行了理论研究,以收集曲线交叉的证据。
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引用次数: 0
Finite-element simulation of photoinduced strain dynamics in silicon thin plates. 硅薄板光致应变动力学的有限元模拟。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-04-15 eCollection Date: 2021-03-01 DOI: 10.1063/4.0000059
A Nakamura, T Shimojima, K Ishizaka

In this paper, we investigate the femtosecond-optical-pulse-induced strain dynamics in relatively thin (100 nm) and thick (10 000 nm) silicon plates based on finite-element simulations. In the thin sample, almost spatially homogeneous excitation by the optical pulse predominantly generates a standing wave of the lowest-order acoustic resonance mode along the out-of-plane direction. At the same time, laterally propagating plate waves are emitted at the sample edge through the open edge deformation. Fourier transformation analysis reveals that the plate waves in the thin sample are mainly composed of two symmetric Lamb waves, reflecting the spatially uniform photoexcitation. In the thick sample, on the other hand, only the near surface region is photo-excited and thus a strain pulse that propagates along the out-of-plane direction is generated, accompanying the laterally propagating pulse-like strain dynamics through the edge deformation. These lateral strain pulses consist of multiple Lamb waves, including asymmetric and higher-order symmetric modes. Our simulations quantitatively demonstrate the out-of-plane and in-plane photoinduced strain dynamics in realistic silicon plates, ranging from the plate wave form to pulse trains, depending on material parameters such as sample thickness, optical penetration depth, and sound velocity.

在本文中,我们基于有限元模拟研究了飞秒光脉冲在相对较薄(100 nm)和较厚(10 000 nm)硅板中的应变动力学。在薄样品中,光脉冲在空间上几乎均匀的激发主要沿面外方向产生最低阶声共振模式的驻波。同时,通过开边变形在试样边缘处发射横向传播的板波。傅里叶变换分析表明,薄样品中的板波主要由两个对称的兰姆波组成,反映了空间均匀的光激发。另一方面,在厚样品中,只有近表面区域被光激发,因此产生沿面外方向传播的应变脉冲,伴随着通过边缘变形横向传播的脉冲状应变动力学。这些侧向应变脉冲由多个兰姆波组成,包括非对称和高阶对称模式。我们的模拟定量地展示了现实硅板中的面外和面内光致应变动力学,范围从板波形到脉冲序列,取决于材料参数,如样品厚度,光学穿透深度和声速。
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引用次数: 5
Intermediate scattering functions of a rigid body monoclonal antibody protein in solution studied by dissipative particle dynamic simulation. 通过耗散粒子动态模拟研究溶液中刚体单克隆抗体蛋白质的中间散射函数。
IF 2.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2021-04-08 eCollection Date: 2021-03-01 DOI: 10.1063/4.0000086
Yanqin Zhai, Nicos S Martys, William L George, Joseph E Curtis, Jannatun Nayem, Y Z, Yun Liu

In the past decade, there was increased research interest in studying internal motions of flexible proteins in solution using Neutron Spin Echo (NSE) as NSE can simultaneously probe the dynamics at the length and time scales comparable to protein domain motions. However, the collective intermediate scattering function (ISF) measured by NSE has the contributions from translational, rotational, and internal motions, which are rather complicated to be separated. Widely used NSE theories to interpret experimental data usually assume that the translational and rotational motions of a rigid particle are decoupled and independent to each other. To evaluate the accuracy of this approximation for monoclonal antibody (mAb) proteins in solution, dissipative particle dynamic computer simulation is used here to simulate a rigid-body mAb for up to about 200 ns. The total ISF together with the ISFs due to only the translational and rotational motions as well as their corresponding effective diffusion coefficients is calculated. The aforementioned approximation introduces appreciable errors to the calculated effective diffusion coefficients and the ISFs. For the effective diffusion coefficient, the error introduced by this approximation can be as large as about 10% even though the overall agreement is considered reasonable. Thus, we need to be cautious when interpreting the data with a small signal change. In addition, the accuracy of the calculated ISFs due to the finite computer simulation time is also discussed.

在过去十年中,利用中子自旋回波(NSE)研究溶液中柔性蛋白质内部运动的研究兴趣日益浓厚,因为 NSE 可以同时探测与蛋白质结构域运动相当的长度和时间尺度上的动态。然而,NSE 测得的集体中间散射函数(ISF)有来自平移、旋转和内部运动的贡献,要将它们分开相当复杂。在解释实验数据时广泛使用的 NSE 理论通常假定刚性粒子的平移和旋转运动是相互独立的。为了评估这一近似值对溶液中单克隆抗体(mAb)蛋白质的准确性,本文使用耗散粒子动态计算机模拟法对刚体 mAb 进行了长达约 200 ns 的模拟。计算了总的 ISF、仅由平移和旋转运动引起的 ISF 以及相应的有效扩散系数。上述近似方法会给计算出的有效扩散系数和 ISF 带来明显误差。就有效扩散系数而言,尽管整体上的一致性被认为是合理的,但这种近似方法带来的误差可能高达 10%。因此,我们在解释信号变化较小的数据时需要谨慎。此外,我们还讨论了由于计算机模拟时间有限而导致的计算 ISF 的准确性问题。
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引用次数: 0
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