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Highly Accurate Real-space Electron Densities with Neural Networks 利用神经网络实现高精度实空间电子密度
Pub Date : 2024-09-02 DOI: arxiv-2409.01306
Lixue Cheng, P. Bernát Szabó, Zeno Schätzle, Derk Kooi, Jonas Köhler, Klaas J. H. Giesbertz, Frank Noé, Jan Hermann, Paola Gori-Giorgi, Adam Foster
Variational ab-initio methods in quantum chemistry stand out among othermethods in providing direct access to the wave function. This allows inprinciple straightforward extraction of any other observable of interest,besides the energy, but in practice this extraction is often technicallydifficult and computationally impractical. Here, we consider the electrondensity as a central observable in quantum chemistry and introduce a novelmethod to obtain accurate densities from real-space many-electron wavefunctions by representing the density with a neural network that captures knownasymptotic properties and is trained from the wave function by score matchingand noise-contrastive estimation. We use variational quantum Monte Carlo withdeep-learning ans"atze (deep QMC) to obtain highly accurate wave functionsfree of basis set errors, and from them, using our novel method,correspondingly accurate electron densities, which we demonstrate bycalculating dipole moments, nuclear forces, contact densities, and otherdensity-based properties.
量子化学中的变分自证方法与其他方法不同,它可以直接获取波函数。这在原理上允许直接提取除能量之外的任何其他感兴趣的观测值,但在实践中,这种提取往往在技术上是困难的,在计算上也是不切实际的。在这里,我们将电子密度视为量子化学中的核心观测指标,并介绍了一种从实空多电子波函数中获得精确密度的新方法,即用神经网络来表示密度,该神经网络捕捉已知的渐近特性,并通过分数匹配和噪声对比估计从波函数中训练出来。我们使用具有深度学习能力的变分量子蒙特卡洛(deep QMC)来获得没有基集误差的高精度波函数,并使用我们的新方法从中获得相应的精确电子密度,我们通过计算偶极矩、核力、接触密度和其他基于密度的性质来证明这一点。
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引用次数: 0
Quantum Density Mechanics: Accurate, purely density-based textit{ab initio} implementation of many-electron quantum mechanics 量子密度力学:精确、纯粹基于密度的多电子量子力学(textit{ab initio})实现
Pub Date : 2024-09-01 DOI: arxiv-2409.00586
James C. Ellenbogen
This paper derives and demonstrates a new, purely density-based ab initioapproach for calculation of the energies and properties of many-electronsystems. It is based upon the discovery of relationships that govern the"mechanics" of the electron density -- i.e., relations that connect itsbehaviors at different points in space. Unlike wave mechanics or priorelectron-density-based implementations, such as DFT, this density-mechanicalimplementation of quantum mechanics involves no many-electron or one-electronwave functions (i.e., orbitals). Thus, there is no need to calculate exchangeenergies, because there are no orbitals to permute or "exchange" withintwo-electron integrals used to calculate electron-electron repulsion energies.In practice, exchange does not exist within quantum density mechanics. In fact,no two-electron integrals need be calculated at all, beyond a single coulombintegral for the 2-electron system. Instead, a "radius expansion method" isintroduced that permits determination of the two-electron interaction for anN-electron system from one with (N-1)-electrons. Also, the method does not relyupon a Schrodinger-like equation or the variational method for determination ofaccurate energies and densities. Rather, the above-described results followfrom the derivation and solution of a "governing equation" for each number ofelectrons to obtain a screening relation that connects the behavior at the"tail" of a one-electron density, to that at the Bohr radius. Solution of theseequations produces simple expressions that deliver a total energy for a2-electron atom that is nearly identical to the experimental value, plusaccurate energies for neutral 3, 4, and 5-electron atoms, along with accurateone-electron densities of these atoms. Further, these methods scale incomplexity only as N, not as a power of N, as do most other accuratemany-electron methods.
这篇论文推导并演示了一种新的、纯粹基于密度的 ab initio 方法,用于计算多电子系统的能量和性质。该方法基于对电子密度 "力学 "关系的发现,即在空间不同点上连接电子密度行为的关系。与波动力学或基于前电子密度的实现(如 DFT)不同,量子力学的这种密度力学实现不涉及多电子或单电子波函数(即轨道)。因此,不需要计算交换能,因为在用于计算电子-电子斥力能的双电子积分中,没有轨道可以排列或 "交换"。实际上,除了计算双电子系统的单一库仑积分之外,根本不需要计算双电子积分。取而代之的是一种 "半径扩展法",它允许从一个有(N-1)个电子的系统中确定一个 N 电子系统的双电子相互作用。此外,该方法并不依赖于类似薛定谔方程或变分法来确定精确的能量和密度。相反,上述结果源于对每个电子数的 "支配方程 "的推导和求解,从而获得一种屏蔽关系,将单电子密度 "尾部 "的行为与玻尔半径的行为联系起来。求解这些方程可以得到简单的表达式,从而得到与实验值几乎相同的 2 电子原子的总能量,以及中性 3、4 和 5 电子原子的精确能量和这些原子的精确单电子密度。此外,这些方法的不复杂度仅以 N 为标度,而不是以 N 的幂为标度,这一点与其他大多数精确的单电子学方法相同。
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引用次数: 0
Extended dissipaton-equation-of-motion approach to study the electronic migration in adatom-graphene composite 研究金刚石-石墨烯复合材料中电子迁移的扩展耗散运动方程方法
Pub Date : 2024-09-01 DOI: arxiv-2409.00669
Yu Su, Yao Wang, Zi-Fan Zhu, Yuan Kong, Rui-Xue Xu, YiJing Yan, Xiao Zheng
Graphene has garnered significant attention due to its unique properties.Among its many intriguing characteristics, the tuning effects induced byadsorbed atoms (adatoms) provide immense potential for the design ofgraphene-based electronic devices. This work explores the electronic migrationin the adatom-graphene composite, using the extendeddissipaton-equation-of-motion (DEOM) approach. As an exact dynamics theory foropen quantum systems embedded in environments composed of non-interactingelectrons, the extended DEOM is capable of handling both linear and quadraticenvironmental couplings (a certain non-Gaussian effect) which account for theinteractions between the adatom and the graphene substrate. We demonstrate andanalyze the adatom-graphene correlated properties and the tuning effects bysimulating the adatom spectral functions with varied Coulomb repulsionstrengths. This work offers not only advanced theoretical methods but also newinsights into the theoretical investigation of complex functional materialssuch as graphene-based electronic devices.
在石墨烯众多引人入胜的特性中,吸附原子(adatoms)引起的调谐效应为设计基于石墨烯的电子器件提供了巨大的潜力。这项研究采用扩展的摩擦运动方程(DEOM)方法,探讨了金刚原子-石墨烯复合材料中的电子迁移。作为一种针对嵌入由非相互作用电子组成的环境中的开放量子系统的精确动力学理论,扩展的 DEOM 能够处理线性和二次环境耦合(某种非高斯效应),从而解释金刚原子与石墨烯基底之间的相互作用。我们通过模拟具有不同库仑斥力强度的金刚原子光谱函数,展示并分析了金刚原子与石墨烯的相关特性和调谐效应。这项工作不仅提供了先进的理论方法,还为石墨烯基电子器件等复杂功能材料的理论研究提供了新的视角。
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引用次数: 0
General Quantum Alchemical Free Energy Simulations via Hamiltonian Interpolation 通过哈密顿插值进行通用量子炼金术自由能模拟
Pub Date : 2024-08-30 DOI: arxiv-2408.17002
Chenghan Li, Xing Zhang, Garnet Kin-Lic Chan
We present an implementation of alchemical free energy simulations at thequantum mechanical level by directly interpolating the electronic Hamiltonian.The method is compatible with any level of electronic structure theory andrequires only one quantum calculation for each molecular dynamics step incontrast to multiple energy evaluations that would be needed when interpolatingthe ground-state energies. We demonstrate the correctness and applicability ofthe technique by computing alchemical free energy changes of gas-phasemolecules, with both nuclear and electron creation/annihilation. We also showan initial application to first-principles pKa calculation for solvatedmolecules where we quantum mechanically annihilate a bonded proton.
我们提出了一种在量子力学水平上通过直接插入电子哈密顿来实现炼金术自由能模拟的方法。该方法与任何水平的电子结构理论都兼容,并且每个分子动力学步骤只需进行一次量子计算,而插值基态能量时则需要进行多次能量评估。我们通过计算气相分子的炼金术自由能变化(包括核和电子的产生/湮灭),证明了该技术的正确性和适用性。我们还展示了量子力学湮灭键合质子在溶解分子第一原理 pKa 计算中的初步应用。
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引用次数: 0
QUEST#4X: an extension of QUEST#4 for benchmarking multireference wavefunction methods QUEST#4X:QUEST#4的扩展,用于多参考波函数方法的基准测试
Pub Date : 2024-08-30 DOI: arxiv-2409.00302
Yangyang Song, Ning Zhang, Yibo Lei, Yang Guo, Wenjian Liu
Given a number of datasets for evaluating the performance of single referencemethods for the low-lying excited states of closed-shell molecules, acomprehensive dataset for assessing the performance of multireference methodsfor the low-lying excited states of open-shell systems is still lacking. Forthis reason, we propose an extension (QUEST#4X) of the radial subset ofQUEST#4 [J. Chem. Theory Comput. 2020, 16, 3720] to cover 110 doublet and 39quartet excited states. Near-exact results obtained by iCIPT2 (iterativeconfiguration interaction with selection and second-order perturbationcorrection) are taken as benchmark to calibrate SDSCI (static-dynamic-staticconfiguration interaction) and SDSPT2 (static-dynamic-static second-orderperturbation theory), which are minimal MRCI and CI-like perturbation theory,respectively. It is found that SDSCI is very close in accuracy to ic-MRCISD(internally contracted multireference configuration interaction with singlesand doubles), although its computational cost is just that of one iteration ofthe latter. Unlike most variants of MRPT2, SDSPT2 treats single and multiplestates in the same way, and performs similarly as MS-NEVPT2 (multi-staten-electron valence second-order perturbation theory). These findings put theSDS family of methods (SDSPT2, SDSCI, and iCIPT2, etc.) on a firm basis.
鉴于有许多用于评估闭壳分子低洼激发态的单参比方法性能的数据集,目前仍然缺乏用于评估开壳系统低洼激发态的多参比方法性能的综合数据集。为此,我们提出了扩展(QUEST/#4X)QUEST/#4 的径向子集[J. Chem. Theory Comput.以 iCIPT2(带选择和二阶扰动校正的迭代配置相互作用)得到的接近精确的结果为基准,校准了 SDSCI(静态-动态-静态配置相互作用)和 SDSPT2(静态-动态-静态二阶扰动理论),它们分别是最小 MRCI 和类 CI 扰动理论。研究发现,SDSCI 在精度上非常接近 ic-MRCISD(内部收缩多参量构型单倍和双倍相互作用),尽管其计算成本仅为后者一次迭代的成本。与 MRPT2 的大多数变体不同,SDSPT2 以相同的方式处理单态和多态,其性能与 MS-NEVPT2(多态电子价二阶扰动理论)类似。这些发现为 SDS 系列方法(SDSPT2、SDSCI 和 iCIPT2 等)奠定了坚实的基础。
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引用次数: 0
Propellant Discovery For Electrospray Thrusters Using Machine Learning 利用机器学习发现电喷推进器的推进剂
Pub Date : 2024-08-30 DOI: arxiv-2408.16951
Rafid Bendimerad, Elaine Petro
This study introduces a machine learning framework to predict the suitabilityof ionic liquids with unknown physical properties as propellants forelectrospray thrusters based on their molecular structure. We construct atraining dataset by labeling ionic liquids as suitable (+1) or unsuitable (-1)for electrospray thrusters based on their density, viscosity, and surfacetension. The ionic liquids are represented by their molecular descriptorscalculated using the Mordred package. We evaluate four machine learningalgorithms: Logistic Regression, Support Vector Machine (SVM), Random Forest,and Extreme Gradient Boosting (XGBoost), with SVM demonstrating superiorpredictive performance. The SVM predicts 193 candidate propellants from adataset of ionic liquids with unknown physical properties. Further, we employShapley Additive Explanations (SHAP) to assess and rank the impact ofindividual molecular descriptors on model decisions.
本研究介绍了一种机器学习框架,可根据分子结构预测物理性质未知的离子液体是否适合用作电喷雾推进器的推进剂。我们根据离子液体的密度、粘度和表面张力,将其标记为适合(+1)或不适合(-1)电喷雾推进器,从而构建了训练数据集。离子液体由使用 Mordred 软件包计算的分子描述符表示。我们评估了四种机器学习算法:我们评估了四种机器学习算法:逻辑回归、支持向量机 (SVM)、随机森林和极梯度提升 (XGBoost),其中 SVM 的预测性能更优。SVM 可从一组物理性质未知的离子液体中预测出 193 种候选推进剂。此外,我们还采用了沙普利相加解释(SHAP)来评估和排列单个分子描述符对模型决策的影响。
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引用次数: 0
On the key kinetic interactions between NOx and unsaturated hydrocarbons: H-atom abstraction from C3-C7 alkynes and dienes by NO2 氮氧化物与不饱和碳氢化合物之间的关键动力学相互作用:二氧化氮从 C3-C7 烯炔和二烯中抽取 H 原子
Pub Date : 2024-08-30 DOI: arxiv-2408.17277
Zhengyan Guo, Hongqing Wu, Ruoyue Tang, Xinrui Ren, Ting Zhang, Mingrui Wang, Guojie Liang, Hengjie Guo, Song Cheng
An adequate understanding of NOx interacting chemistry is a prerequisite fora smoother transition to carbon lean and carbon free fuels such as ammonia andhydrogen. In this regard, this study presents a comprehensive study on the Hatom abstraction by NO2 from C3 to C7 alkynes and dienes forming 3 HNO2 isomers(i.e., TRANS HONO, HNO2, and CIS HONO), encompassing 8 hydrocarbons and 24reactions. Through a combination of high level quantum chemistry computation,the rate coefficients for all studied reactions, over a temperature range from298 to 2000 K, are computed based on Transition State Theory using the MasterEquation System Solver program with considering unsymmetric tunnelingcorrections. Comprehensive analysis of branching ratios elucidates thediversity and similarities between different species, different HNO2 isomers,and different abstraction sites. Incorporating the calculated rate parametersinto a recent chemistry model reveals the significant influences of this typeof reaction on model performance, where the updated model is consistently morereactive for all the alkynes and dienes studied in predicting autoignitioncharacteristics. Sensitivity and flux analyses are further conducted, throughwhich the importance of H atom abstractions by NO2 is highlighted. With theupdated rate parameters, the branching ratios in fuel consumption clearlyshifts towards H atom abstractions by NO2 while away from H atom abstractionsby OH. The obtained results emphasize the need for adequately representingthese kinetics in new alkyne and diene chemistry models to be developed byusing the rate parameters determined in this study, and call for future effortsto experimentally investigate NO2 blending effects on alkynes and dienes.
充分了解氮氧化物的相互作用化学性质是更顺利地过渡到贫碳和无碳燃料(如氨和氢)的先决条件。为此,本研究全面研究了 NO2 从 C3 至 C7 烯烃和二烯中抽取 Hatom 形成 3 种 HNO2 异构体(即 TRANS HONO、HNO2 和 CIS HONO)的过程,包括 8 种碳氢化合物和 24 种反应。通过结合高水平的量子化学计算,以过渡态理论为基础,使用主方程系统求解程序计算了所有研究反应的速率系数,温度范围为 298 至 2000 K,并考虑了非对称隧道校正。对支化率的综合分析阐明了不同物种、不同 HNO2 异构体和不同抽取位点之间的多样性和相似性。将计算出的速率参数纳入最新的化学模型显示了这类反应对模型性能的重大影响,更新后的模型在预测自燃特性时对所有研究的炔烃和二烯烃都具有一致的反应性。进一步进行了灵敏度和通量分析,突出了二氧化氮抽取 H 原子的重要性。随着速率参数的更新,燃料消耗的分支比率明显转向由 NO2 抽取 H 原子,而不是由 OH 抽取 H 原子。所获得的结果强调了利用本研究确定的速率参数在即将开发的新炔烃和二烯烃化学模型中充分反映这些动力学的必要性,并呼吁今后努力通过实验研究二氧化氮对炔烃和二烯烃的掺混效应。
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引用次数: 0
Including photoexcitation explicitly in trajectory-based nonadiabatic dynamics at no cost 在基于轨迹的非绝热动力学中不计成本地明确纳入光激发
Pub Date : 2024-08-30 DOI: arxiv-2408.17359
Jiří Janoš, Petr Slavíček, Basile F. E. Curchod
Over the last decades, theoretical photochemistry has produced multipletechniques to simulate the nonadiabatic dynamics of molecules. Surprisingly,much less effort has been devoted to adequately describing the first step of aphotochemical or photophysical process: photoexcitation. Here, we propose aformalism to include the effect of a laser pulse in trajectory-basednonadiabatic dynamics at the level of the initial conditions, with noadditional cost. The promoted density approach (PDA) decouples the excitationfrom the nonadiabatic dynamics by defining a new set of initial conditions,which include an excitation time. PDA with surface hopping leads tononadiabatic dynamics simulations in excellent agreement with quantum dynamicsusing an explicit laser pulse and highlights the strong impact of a laser pulseon the resulting photodynamics and the limits of the (sudden) verticalexcitation. Combining PDA with trajectory-based nonadiabatic methods ispossible for any arbitrary-sized molecules using a code provided in this work.
在过去的几十年里,理论光化学产生了多种模拟分子非绝热动力学的技术。令人惊讶的是,人们在充分描述光化学或光物理过程的第一步--光激发--方面所做的努力要少得多。在此,我们提出了一种形式主义,在基于轨迹的非绝热动力学中,将激光脉冲的效应包含在初始条件的水平上,而不增加额外的成本。提升密度方法(PDA)通过定义一组新的初始条件(包括激发时间),将激发与非绝热动力学分离开来。带有表面跳变的 PDA 使非绝热动力学模拟与使用显式激光脉冲的量子动力学模拟非常一致,并突出了激光脉冲对所产生的光动力学和(突然)垂直激发极限的强烈影响。利用本研究提供的代码,可以将 PDA 与基于轨迹的非绝热方法结合起来,用于任意大小的分子。
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引用次数: 0
Frequency-Dependent Conductivity of Concentrated Electrolytes: A Stochastic Density Functional Theory 浓缩电解质随频率变化的电导率:随机密度泛函理论
Pub Date : 2024-08-30 DOI: arxiv-2408.17427
Haggai Bonneau, Yael Avni, David Andelman, Henri Orland
The response of ionic solutions to time-varying electric fields, quantifiedby a frequency-dependent conductivity, is essential in many electrochemicalapplications. Yet, it constitutes a challenging problem due to the combinedeffect of Coulombic interactions, hydrodynamics, and thermal fluctuations.Here, we study the frequency-dependent conductivity of ionic solutions using astochastic density functional theory. In the limit of small concentrations, werecover the classical Debye and Falkenhagen (DF) result, predicting an increasein conductivity with field frequency. At higher concentrations, we use amodified Coulomb interaction potential that accounts for the hard-corerepulsion between the ions, which was recently employed in the zero-frequencycase. Consequently, we extend the DF result to concentrated electrolytes. Wediscuss experimental and numerical studies and the complexity of observing theDF effect in such setups.
在许多电化学应用中,离子溶液对时变电场的响应(通过随频率变化的电导率进行量化)至关重要。然而,由于库仑相互作用、流体力学和热波动的综合影响,这构成了一个具有挑战性的问题。在这里,我们利用随机密度泛函理论研究了离子溶液随频率变化的电导率。在小浓度极限下,我们利用经典的德拜和法尔肯哈根(DF)结果,预测电导率随场频率的增加而增加。在浓度较高的情况下,我们使用了修正的库仑相互作用势,该势考虑了离子间的硬排斥力,这是最近在零频率情况下使用的。因此,我们将 DF 结果扩展到了高浓度电解质。我们讨论了实验和数值研究,以及在这种情况下观察 DF 效应的复杂性。
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引用次数: 0
A High-Temperature Thermocouple Development by Additive Manufacturing: Tungsten-Nickel (W-Ni) and Molybdenum (Mo) Integration with Ceramic Structures 利用增材制造技术开发高温热电偶:钨镍(W-Ni)和钼(Mo)与陶瓷结构的整合
Pub Date : 2024-08-09 DOI: arxiv-2408.04800
Azizul Islam, Vamsi Borra, Pedro Cortes
Additive manufacturing holds more potential to enable the development ofceramic-based components. Ceramics offer high resistance to heat, high fracturetoughness, and are extremely corrosion resistant. Thus, ceramics are widelyused in sectors such as the aerospace industry, automotive, microelectronics,and biomedicine. Using various additive manufacturing platforms, ceramics withcomplex and uniquely designed geometry can be developed to suit specificapplications. This project aims at innovating high-temperature thermocouples byembedding conductive metal pastes into a ceramic structure. The paste usedincludes tungsten, molybdenum, and antimony. The metal pastes are preciselyextruded into a T-shaped trench inside the ceramic matrix. Following specifictemperature ranges, the ceramic matrix is sintered to improve the properties ofthe material. The sensors produced can function at extremely high temperaturesand are thereby suitable for high-temperature environments. Comparative testingof the 3D sintered sensors with conventional temperature sensors shows highcorrelation between the two classes of sensors. The resulting R-squared valueof 0.9885 is satisfactory which implies the reliability and accuracy of 3Dsintering sensors are satisfactory in temperature sensing applications.
快速成型技术在开发陶瓷组件方面具有更大的潜力。陶瓷具有高耐热性、高断裂韧性和极强的耐腐蚀性。因此,陶瓷被广泛应用于航空航天、汽车、微电子和生物医学等领域。利用各种快速成型制造平台,可以开发出具有复杂和独特设计几何形状的陶瓷,以满足特定应用的需要。本项目旨在通过在陶瓷结构中嵌入导电金属浆料来创新高温热电偶。使用的浆料包括钨、钼和锑。金属浆料被精确地挤入陶瓷基体内部的 T 形沟槽中。在特定的温度范围内,陶瓷基体被烧结,以提高材料的性能。生产出的传感器可在极高温度下工作,因此适用于高温环境。三维烧结传感器与传统温度传感器的对比测试表明,两类传感器之间具有很高的相关性。由此得出的 R 平方值为 0.9885,令人满意,这意味着三维烧结传感器在温度传感应用中的可靠性和准确性令人满意。
{"title":"A High-Temperature Thermocouple Development by Additive Manufacturing: Tungsten-Nickel (W-Ni) and Molybdenum (Mo) Integration with Ceramic Structures","authors":"Azizul Islam, Vamsi Borra, Pedro Cortes","doi":"arxiv-2408.04800","DOIUrl":"https://doi.org/arxiv-2408.04800","url":null,"abstract":"Additive manufacturing holds more potential to enable the development of\u0000ceramic-based components. Ceramics offer high resistance to heat, high fracture\u0000toughness, and are extremely corrosion resistant. Thus, ceramics are widely\u0000used in sectors such as the aerospace industry, automotive, microelectronics,\u0000and biomedicine. Using various additive manufacturing platforms, ceramics with\u0000complex and uniquely designed geometry can be developed to suit specific\u0000applications. This project aims at innovating high-temperature thermocouples by\u0000embedding conductive metal pastes into a ceramic structure. The paste used\u0000includes tungsten, molybdenum, and antimony. The metal pastes are precisely\u0000extruded into a T-shaped trench inside the ceramic matrix. Following specific\u0000temperature ranges, the ceramic matrix is sintered to improve the properties of\u0000the material. The sensors produced can function at extremely high temperatures\u0000and are thereby suitable for high-temperature environments. Comparative testing\u0000of the 3D sintered sensors with conventional temperature sensors shows high\u0000correlation between the two classes of sensors. The resulting R-squared value\u0000of 0.9885 is satisfactory which implies the reliability and accuracy of 3D\u0000sintering sensors are satisfactory in temperature sensing applications.","PeriodicalId":501304,"journal":{"name":"arXiv - PHYS - Chemical Physics","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
arXiv - PHYS - Chemical Physics
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