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Influence of time scale on dynamics in theoretical models derived from physical equations 时间尺度对由物理方程导出的理论模型动力学的影响
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-31 DOI: 10.1140/epjb/s10051-026-01219-x
Zhao Lei, Binchi Wang, Chaoran Li, Jun Ma

Physical equations provide good access to explore correlation between physical variables in some realistic systems such as nonlinear circuits and electromechanical devices, and further dynamical analysis requires consistence of physical units on the involved variables and parameters. Therefore, proper nondimensionalization is essential for revealing the intrinsic dynamics of the system by converting the physical equations into equivalent dimensionless theoretical models. For example, for a RLC (C: capacitor, L: inductor, R: resistor) circuit, both [RC] and [LC]1/2 can be used to time scale for obtaining dimensionless time variable as τ = t/RC, or τ = t/(LC)1/2, while a mechanical oscillator requires τ = t/[m/K]1/2, in which K and m denote elasticity coefficient for the spring and mss of the oscillator, respectively. This paper investigates an FitzHugh-Nagumo (FHN) neuron coupled with an electromechanical arm device, which involves two inherent time scales associated with the [RC] and the [m/K]1/2. By introducing different time bases, two nondimensional formulations are derived and compared. The results show that the two theoretical models are related through a linear time-scaling transformation, indicating their dynamical equivalence and consistence. Numerical simulations based on bifurcation diagrams and the largest Lyapunov exponent confirm that the two formulations exhibit identical qualitative dynamical behaviors. Furthermore, energy analysis reveals distinct distribution patterns under different dynamical regimes. Finally, simulation on Multisim is verified for clarifying the influence of time scale on the theoretical models and the dynamical characteristic. This study provides a systematic understanding of time-scale effects in electromechanical nonlinear systems and offers guidance for interpreting models under different nondimensional frameworks.

Graphical abstract

Schematic diagram for electromechanical device coupled by a neural circuit. The red box is the electromechanical arm/leg branch, see Ref.[13]. Time scale can be selected with τ = t/RC, or τ = t/(LC)1/2, τ = t/[m/K]1/2, in which K and m denote elasticity coefficient for the spring and mss of the oscillator, respectively, the theoretical model will be presented in different forms.

物理方程为探索非线性电路和机电设备等现实系统中物理变量之间的相关性提供了良好的途径,而进一步的动力学分析需要在所涉及的变量和参数上的物理单元的一致性。因此,适当的无量纲化是通过将物理方程转换为等效的无量纲理论模型来揭示系统内在动力学的必要条件。例如,对于RLC (C:电容器,L:电感,R:电阻器)电路,[RC]和[LC]1/2都可以用于时间标度,以获得无因次时间变量τ = t/RC或τ = t/(LC)1/2,而机械振荡器则需要τ = t/[m/K]1/2,其中K和m分别表示振荡器的弹簧和质量的弹性系数。本文研究了与机电臂装置耦合的FitzHugh-Nagumo (FHN)神经元,该神经元涉及与[RC]和[m/K]1/2相关的两个固有时间尺度。通过引入不同的时基,推导并比较了两种非量纲公式。结果表明,两个理论模型通过线性时间尺度变换相互关联,表明了它们的动力学等价性和一致性。基于分岔图和最大Lyapunov指数的数值模拟证实了这两种公式具有相同的定性动力学行为。此外,能量分析还揭示了不同动力机制下的不同分布模式。最后通过Multisim仿真验证了时间尺度对理论模型和动力学特性的影响。本研究对机电非线性系统的时间尺度效应提供了系统的认识,并为在不同的非量纲框架下解释模型提供了指导。图解:神经电路耦合的机电设备原理图。红框为机电臂/腿分支,参见参考文献[13]。时间尺度可以选择τ = t/RC,或τ = t/(LC)1/2, τ = t/[m/K]1/2,其中K和m分别表示振荡器的弹簧和质量的弹性系数,理论模型将以不同的形式呈现。
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引用次数: 0
An Abrams–Strogatz model with independent volatilities 具有独立波动率的艾布拉姆斯-斯特罗加茨模型
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-30 DOI: 10.1140/epjb/s10051-026-01215-1
Gabriel Cachoa-Ocampo, Bibiana Obregón-Quintana

We propose an extension of the Abrams–Strogatz language competition model that incorporates asymmetric volatility parameters to describe language-switching patterns between speech communities. The model is calibrated using census data from 12 Mexican states and seven indigenous languages, allowing us to analyze state-level language competition dynamics. The resulting parameter space separates regimes associated with extinction from regimes associated with sustained coexistence. Among the 15 language–state pairs studied, approximately three quarters are projected to exhibit long-term coexistence, while the remaining cases are associated with extinction risk. These results provide a quantitative framework for assessing endangered-language dynamics in asymmetric sociolinguistic contexts.

Stability diagram in the ((alpha _{1}, alpha _{2})) parameter space of the proposed model. Each point represents a language–state pair classified according to its predicted long-term outcome: coexistence (green) or extinction (red)

我们提出了Abrams-Strogatz语言竞争模型的扩展,该模型包含不对称波动参数来描述语言社区之间的语言切换模式。该模型使用来自墨西哥12个州和7种土著语言的人口普查数据进行校准,使我们能够分析州一级的语言竞争动态。由此产生的参数空间将与灭绝相关的状态与与持续共存相关的状态分开。在研究的15个语言状态对中,大约有四分之三的人预计会长期共存,而其余的人则有灭绝的危险。这些结果为评估不对称社会语言学背景下濒危语言的动态提供了一个定量框架。所提模型在((alpha _{1}, alpha _{2}))参数空间中的稳定性图。每个点代表一个语言状态对,根据其预测的长期结果进行分类:共存(绿色)或灭绝(红色)
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引用次数: 0
First-principles insights into orthorhombic Cu₂ZnSnS₄ and Cu₂CdSnS₄ solar absorbers 四价Cu₂ZnSnS和四价Cu₂CdSnS太阳能吸收剂的第一性原理研究
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-28 DOI: 10.1140/epjb/s10051-026-01212-4
H. Boublenza, A. Menad, M. Ferhat

Photovoltaic devices represent one of the most promising pathways toward sustainable energy conversion. In this work, we investigate the electronic structure of orthorhombic Cu₂ZnSnS₄ and Cu₂CdSnS₄ chalcogenides as potential high-efficiency solar absorbers, using density functional theory combined with evolutionary algorithms for crystal structure prediction. Beyond the conventional tetragonal kesterite ((Ioverline{4 })) and stannite ((I4overline{2 }m)) ground-state phases, our structure search reveals a previously unreported orthorhombic polymorph adopting the (Pmn{2}_{1}) space group. The orthorhombic phase is found to be nearly degenerate in energy with the tetragonal phases. For Cu₂ZnSnS₄, the energy difference between kesterite and the orthorhombic phase is only 5.5 meV/atom. For Cu₂CdSnS₄, the energy difference between stannite and the orthorhombic phase is merely 0.7 meV/atom. These remarkably small energy differences, well within typical experimental thermal fluctuations, indicate that the Pmn2₁ structure is both thermodynamically competitive and synthetically accessible. Mechanical stability is confirmed by elastic constants satisfying the Born criteria, while phonon calculations reveal no imaginary frequencies across the entire Brillouin zone, confirming dynamical stability. The calculated formation energies of − 0.42 eV/atom for Cu₂ZnSnS₄ and − 0.43 eV/atom for Cu₂CdSnS₄ further attest to the thermodynamic viability of both compounds. Using the quasiparticle TB-mBJ + U approach, we find direct bandgaps of 1.374 eV for Cu₂ZnSnS₄ and 1.28 eV for Cu₂CdSnS₄. These values are ideally positioned within the optimal 1.0–1.4 eV window for single-junction photovoltaics. The electron effective masses are exceptionally low, with density-of-states averages of 0.139 m0 for Cu₂ZnSnS₄ and 0.122 m0 for Cu₂CdSnS₄. These low masses yield room-temperature electron mobilities of approximately 9000 cm2 V⁻1 s⁻1 for Cu₂ZnSnS₄ and 13 000 cm2 V⁻1 s⁻1 for Cu₂CdSnS₄. Optical absorption spectra exhibit sharp direct-gap onsets exceeding 104 cm⁻1. Cu₂CdSnS₄ displays a steeper absorption edge and a higher peak intensity of 1.11 × 105 cm⁻1 at 2.54 eV, compared with 1.06 × 105 cm⁻1 at 2.76 eV for Cu₂ZnSnS₄. When evaluated using the spectroscopic limited maximum efficiency (SLME) metric, both materials demonstrate outstanding photovoltaic performance. Cu₂ZnSnS₄ achieves a maximum efficiency of 32% at a thickness of 30 μm, while Cu₂CdSnS₄ reaches 32.2% at a substantially reduced thickness of 20 μm.

Graphical abstract

光伏设备代表了可持续能源转换最有前途的途径之一。本文采用密度泛函理论结合进化算法,研究了Cu₂ZnSnS₄和Cu₂CdSnS₄硫族化合物作为高效太阳能吸收剂的电子结构。除了传统的四方kesterite ((Ioverline{4 }))和stannite ((I4overline{2 }m))基态相外,我们的结构搜索揭示了以前未报道的采用(Pmn{2}_{1})空间群的正交多晶。发现正交相的能量与四方相几乎简并。对于Cu₂ZnSnS₄,kesterite相与正交相的能量差仅为5.5 meV/原子。对于cu2cds_4,锡相与正交相的能差仅为0.7 meV/原子。这些非常小的能量差异,完全在典型的实验热波动范围内,表明Pmn2 1结构既具有热力学竞争性,又具有综合可及性。力学稳定性通过满足玻恩标准的弹性常数得到证实,而声子计算显示在整个布里温区没有虚频率,证实了动力学稳定性。Cu₂ZnSnS₄的生成能为−0.42 eV/原子,Cu₂CdSnS₄的生成能为−0.43 eV/原子,进一步证明了两种化合物的热力学可行性。采用准粒子TB-mBJ + U方法,我们发现Cu₂ZnSnS₄的直接带隙为1.374 eV, Cu₂CdSnS₄的直接带隙为1.28 eV。这些值理想地定位在单结光伏的最佳1.0-1.4 eV窗口内。电子有效质量非常低,Cu₂ZnSnS₄的平均态密度为0.139 m0, Cu₂CdSnS₄的平均态密度为0.122 m0。这些低质量的物质产生的室温电子迁移率约为9000 cm2 V - 1 s⁻4 (cu2 ZnSnS₄)和13 000 cm2 V - 1 s⁻4 (cu2 CdSnS₄)。光吸收光谱表现出尖锐的直接间隙,超过104 cm毒血症1。Cu₂ZnSnS₄的吸收边沿更陡,峰强度更高,为1.11 × 105 cm - 1 (2.54 eV),而Cu₂ZnSnS₄的峰强度为1.06 × 105 cm - 1 (2.76 eV)。当使用光谱有限最大效率(SLME)指标进行评估时,两种材料都表现出出色的光伏性能。Cu₂ZnSnS₄的最大效率为32% at a thickness of 30 μm, while Cu₂CdSnS₄ reaches 32.2% at a substantially reduced thickness of 20 μm.Graphical abstract
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引用次数: 0
Skyrmion dynamics based on spinor Boltzmann equation and Landau–Lifshitz–Gilbert equation 基于旋量Boltzmann方程和Landau-Lifshitz-Gilbert方程的Skyrmion动力学
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-28 DOI: 10.1140/epjb/s10051-026-01210-6
Xiao-Tong Xu, Zheng-Chuan Wang

We present a self-consistent theory of electrically driven skyrmion dynamics by coupling the spinor Boltzmann equation to the Landau–Lifshitz–Gilbert equation. This framework treats emergent electrodynamics, spin diffusion, and spin pumping on an equal footing, capturing nonlocal transport effects beyond the local torque approximation. Numerical simulations reveal that spin diffusion acts as an enhanced effective nonadiabaticity, strongly suppressing the skyrmion Hall effect. In contrast, spin pumping provides a dynamical correction that partially restores the transverse velocity, highlighting the necessity of a self-consistent coupled description for nanoscale textures.

我们通过耦合旋量Boltzmann方程和Landau-Lifshitz-Gilbert方程,提出了电驱动skyrmion动力学的自洽理论。该框架平等地对待紧急电动力学、自旋扩散和自旋泵浦,捕捉超出局部扭矩近似的非局部输运效应。数值模拟表明,自旋扩散作为一种增强的有效非绝热性,强烈地抑制了斯基米子霍尔效应。相比之下,自旋泵浦提供了一种动态校正,可以部分恢复横向速度,强调了对纳米级纹理进行自一致耦合描述的必要性。
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引用次数: 0
DFT-D prediction of new stable volleyballene compounds ([X20C60](1−/1+), X = Ca, Ti, V) 新型稳定排球烯化合物[X20C60](1−/1+),X = Ca, Ti, V的DFT-D预测
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-28 DOI: 10.1140/epjb/s10051-026-01218-y
M. G. Salas-Zepeda, Alfredo Tlahuice-Flores

Volleyballenes have emerged as materials with potential applications in hydrogen adsorption and pollution remediation. In this study, a new set of compounds is predicted, where Sc atoms are substituted with Ca, Ti, and V atoms. Additionally, the stability of the parent volleyballene is explored when its carbon framework displays hexagonal–hexagonal rings (Stone–Wales defects) instead of pentagonal–pentagonal rings, and their number yielding stable structures is determined. New structures exhibit enhanced stability, with cohesion energies ranging from approximately − 9.0 to − 7.0 eV (− 7.36 eV for [Ca20C60]1−, − 8.67 eV for [Ti20C60]1− and − 9.07 eV for [V20C60]1+). Moreover, their calculated IR spectra are reported to aid in their identification and characterization.

Graphical abstract

排球烯在氢吸附和污染修复方面具有潜在的应用前景。在这项研究中,预测了一组新的化合物,其中Sc原子被Ca, Ti和V原子取代。此外,研究了母体排球烯在碳骨架呈现六角形-六角形环(Stone-Wales缺陷)而不是五角形-五角形环时的稳定性,并确定了它们产生稳定结构的数量。新结构表现出更强的稳定性,其内聚能约为−9.0 ~−7.0 eV ([Ca20C60]1−为−7.36 eV, [Ti20C60]1−为−8.67 eV, [V20C60]1+为−9.07 eV)。此外,它们的计算红外光谱也有助于它们的识别和表征。图形抽象
{"title":"DFT-D prediction of new stable volleyballene compounds ([X20C60](1−/1+), X = Ca, Ti, V)","authors":"M. G. Salas-Zepeda,&nbsp;Alfredo Tlahuice-Flores","doi":"10.1140/epjb/s10051-026-01218-y","DOIUrl":"10.1140/epjb/s10051-026-01218-y","url":null,"abstract":"<div><p>Volleyballenes have emerged as materials with potential applications in hydrogen adsorption and pollution remediation. In this study, a new set of compounds is predicted, where Sc atoms are substituted with Ca, Ti, and V atoms. Additionally, the stability of the parent volleyballene is explored when its carbon framework displays hexagonal–hexagonal rings (Stone–Wales defects) instead of pentagonal–pentagonal rings, and their number yielding stable structures is determined. New structures exhibit enhanced stability, with cohesion energies ranging from approximately − 9.0 to − 7.0 eV (− 7.36 eV for [Ca<sub>20</sub>C<sub>60</sub>]<sup>1−</sup>, − 8.67 eV for [Ti<sub>20</sub>C<sub>60</sub>]<sup>1−</sup> and − 9.07 eV for [V<sub>20</sub>C<sub>60</sub>]<sup>1+</sup>). Moreover, their calculated IR spectra are reported to aid in their identification and characterization.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 7","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
First principles calculations of structural, electronic, and optical properties of gallium phosphide nanosheet 磷化镓纳米片结构、电子和光学性质的第一性原理计算
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-26 DOI: 10.1140/epjb/s10051-026-01214-2
Amin Taghavi, Leila Sohrabi, Reza Moradi, Farshad Taleshi, Behnam Akbari Gheshlagh

Ab initio calculations based on the FP-LAPW technique, employing the PBE-GGA approximation within the WIEN2k computational code, were performed to investigate the structural, electronic, and optical properties of gallium phosphide (GaP) in a graphene-like structure. The analysis demonstrates that graphene-like GaP is a wide-bandgap semiconductor characterized by a direct bandgap of 2.14 eV. Additionally, various optical parameters, including the dielectric function, energy loss function, refractive index, extinction coefficient, optical conductivity, absorption coefficient, and reflectivity, were determined for the graphene-like GaP structure. Based on the evaluation of these optical properties, we propose that graphene-like GaP represents a promising candidate for integration into optoelectronic applications.

Graphical abstract

Investigation of structural, electronic, and optical properties of graphene-like GaP. The color purple represents the atomic element Ga, whereas the color yellow represents the atomic element P.

基于FP-LAPW技术的从头计算,采用WIEN2k计算代码中的PBE-GGA近似,研究了类石墨烯结构中磷化镓(GaP)的结构、电子和光学性质。分析表明,类石墨烯GaP是一种直接带隙为2.14 eV的宽带隙半导体。此外,还测定了类石墨烯GaP结构的各种光学参数,包括介电函数、能量损失函数、折射率、消光系数、光学电导率、吸收系数和反射率。基于对这些光学性质的评估,我们提出石墨烯类GaP代表了集成到光电应用中的有希望的候选者。图示:类石墨烯GaP的结构、电子和光学性质的研究。紫色代表原子元素Ga,而黄色代表原子元素P。
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引用次数: 0
Sensitivity to initial conditions on dynamical quantum phase transitions 动态量子相变对初始条件的敏感性
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-22 DOI: 10.1140/epjb/s10051-026-01209-z
D. S. Lohr-Robles, M. Grether, E. López-Moreno, P. O. Hess

The dynamical properties of a many-body quantum system are studied in terms of its initial conditions and control parameters in the framework of the Lipkin–Meshkov–Glick model through a quantum quench process. The initial collective pseudospin is considered to lie on the equator of the Bloch sphere and the dynamical phase diagrams are constructed for various values of the polar angle. The two types of dynamical quantum phase transitions (DQPTs) are studied in detail: DQPTs-I, which manifest as non-analyticities of an order parameter as a function of the control parameter; and DQPTs-II, which occur when the rate function of the Loschmidt echo has non-analytical behavior at critical times. By considering relevant domains of the anisotropic parameters of the spin interactions and many examples of initial states, the influence of the initial conditions on both types of DQPTs is examined. The results are presented with emphasis put on the interacting parameters and the initial preparation of the system for their application on experimental settings.

在Lipkin-Meshkov-Glick模型框架下,通过量子猝灭过程研究了多体量子系统的初始条件和控制参数。假定初始集体伪自旋位于布洛赫球的赤道上,并构造了不同极角值的动态相图。详细研究了两种类型的动态量子相变(DQPTs): DQPTs- i,表现为阶参数作为控制参数的函数的非解析性;和DQPTs-II,当洛施密特回波的速率函数在关键时刻具有非解析行为时发生。通过考虑自旋相互作用各向异性参数的相关域和许多初始态的例子,考察了初始条件对两种dqpt的影响。结果重点介绍了相互作用参数和系统的初步准备,以便在实验环境中应用。
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引用次数: 0
Out-of-plane piezoelectricity and enhanced flexibility in Al-N co-doped monolayer β-Ga2O3: a first-principles study Al-N共掺杂单层β-Ga2O3的面外压电性和增强柔韧性:第一性原理研究
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-20 DOI: 10.1140/epjb/s10051-026-01211-5
Rong-Rong Deng, Si-Lie Fu, Jing-Hua Wang, Ya-Jing Yue, Xia-Hong Wang, Yu-Lin Chen, Jia-Yin Chen

Two-dimensional (2D) piezoelectric materials have received significant attention due to their anisotropic structures and unique properties. However, the development of high-performance 2D materials with a strong out-of-plane piezoelectric response remains a challenge. In this work, we used first-principles calculations to systematically investigate the structural, electronic, elastic, and piezoelectric properties of Cu-N and Al-N co-doped monolayer (ML) β-Ga2O3. The results indicate that Cu-N β-Ga2O3 is thermodynamically stable, while Al-N β-Ga2O3 exhibits mechanical stability. Cu-N co-doping induces metallicity and magnetism in β-Ga2O3, making it unsuitable for piezoelectric applications. In contrast, Al-N co-doping preserves the semiconducting behavior of β-Ga2O3, induces a significant out-of-plane piezoelectric response (e31 = 3.28 × 10–10 C/m, e32 = 3.07 × 10–10 C/m), retains good flexibility, as evidenced by a 10.70% reduction in Young’s modulus compared to Al-doped β-Ga2O3.This work demonstrates that Al-N co-doping is a promising strategy for achieving multifunctional β-Ga2O3 with integrated piezoelectricity and flexibility, offering great promise for applications in wearable electronics and flexible sensors.

Graphical abstract

二维压电材料因其各向异性结构和独特的性能而受到广泛关注。然而,开发具有强面外压电响应的高性能二维材料仍然是一个挑战。在这项工作中,我们使用第一性原理计算系统地研究了Cu-N和Al-N共掺杂单层(ML) β-Ga2O3的结构、电子、弹性和压电性能。结果表明,Cu-N β-Ga2O3具有热力学稳定性,Al-N β-Ga2O3具有机械稳定性。Cu-N共掺杂引起β-Ga2O3的金属丰性和磁性,使其不适合压电应用。相比之下,Al-N共掺杂保留了β-Ga2O3的半导体行为,诱导了显著的面外压电响应(e31 = 3.28 × 10-10 C/m, e32 = 3.07 × 10-10 C/m),保持了良好的柔韧性,杨氏模量比al掺杂β-Ga2O3降低了10.70%。这项工作表明,Al-N共掺杂是一种很有前途的策略,可以实现具有集成压电性和灵活性的多功能β-Ga2O3,为可穿戴电子产品和柔性传感器的应用提供了巨大的希望。图形抽象
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引用次数: 0
Investigation of electron irradiation effects on defect states in silicon using Raman and infrared spectroscopy methods 用拉曼和红外光谱方法研究电子辐照对硅缺陷态的影响
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-16 DOI: 10.1140/epjb/s10051-026-01205-3
M. Yu. Tashmetov, Sh. A. Makhmudov, A. K. Rafikov, N. B. Ismatov, A. A. Sulaymonov

In this work, n-type Czochralski silicon irradiated with 2 MeV electrons at a fluence of 2 × 1017 e/cm2 was investigated using a combination of Raman spectroscopy, infrared (IR) spectroscopy, and Hall effect measurements. The degree of crystallinity (Kcryst), determined from the intensity ratio of the 520.6 cm−1 and 470 cm−1 Raman bands, decreases from 93.3% in the initial sample to 76.1% after irradiation, indicating increased structural disorder. IR spectra reveal the formation of oxygen-related bonding configurations, including Si–O–Si and P–O bonds, as well as an enhancement of the band near 606 cm−1, which is associated with oxygen-related vacancy complexes. These spectroscopic changes are consistent with Hall measurements, which show a significant increase in resistivity (up to 104 Ω·cm) accompanied by a strong reduction in carrier concentration. The results indicate that radiation-induced defect centers, most likely related to vacancy–oxygen complexes, play a key role in carrier removal. Compared to previous studies, the present work demonstrates a systematic correlation between spectroscopic signatures and electrical degradation in electron-irradiated silicon.

Graphical abstract

在这项工作中,利用拉曼光谱、红外光谱和霍尔效应测量相结合的方法,研究了以2 MeV电子照射2 × 1017 e/cm2的n型Czochralski硅。通过520.6 cm−1和470 cm−1拉曼光谱强度比测定的结晶度(kcrystal)从初始样品的93.3%下降到辐照后的76.1%,表明结构无序性增加。红外光谱显示了氧相关键构型的形成,包括Si-O-Si和P-O键,以及606 cm−1附近的波段增强,这与氧相关的空位配合物有关。这些光谱变化与霍尔测量结果一致,霍尔测量结果显示电阻率显著增加(高达104 Ω·cm),同时载流子浓度显著降低。结果表明,辐射诱导的缺陷中心在载流子去除中起关键作用,很可能与空位-氧配合物有关。与以前的研究相比,本工作证明了电子辐照硅的光谱特征与电降解之间的系统相关性。图形抽象
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引用次数: 0
Exploring the structural and electronic properties of piperazinium bis (trifluoroacetic acid): DFT insights into optimization, spectral, NBO, NLO, Hirshfeld surface, and Fukui analysis 探索哌嗪二(三氟乙酸)的结构和电子性质:DFT对优化、光谱、NBO、NLO、Hirshfeld表面和Fukui分析的见解
IF 1.9 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-07-14 DOI: 10.1140/epjb/s10051-026-01202-6
V. Vijayalakshmi, K. Sivakumar, V. Ragavendran, J. Janczak, N. Kanagathara

Organic single crystals of piperazinium bis (trifluoroacetic acid) (PTFA) was synthesized by the slow evaporation method. The centrosymmetric nature of the PTFA crystal was confirmed through single crystal XRD analysis with the P-1 space group. The molecular structure of PTFA was optimized by Density functional theory (DFT) with the B3LYP 6–311 +  + G (d, p) basis set to calculated the structural parameters of the compound were compared with the experimental XRD data. The presence of various functional groups and their frequencies were confirmed through FT-IR spectral analysis, based on the potential energy distribution (PED) used for assignments and correlations of the compound’s fundamental modes. The electronic transition spectrum of the PTFA molecule was obtained via UV–Vis spectroscopy in various solvents. The analysis of HOMO & LUMO molecular orbitals indicates a significant charge transfer, while Natural Bond Orbital (NBO) analysis revealed donor–acceptor interactions. The molecular electrostatic potential (MEP) and Fukui functions, derived from Mulliken charges, identified a reactive region of the molecule. The chemical bonding was explored through Electron Localization Function (ELF) & Localized Orbital Locator (LOL) analyses and the weak interactions was identified in RDG analysis with inter & intra-fragment interactions illustrated by scatter plots. The first-order hyperpolarization calculation confirms the nonlinear optical activity of the PTFA crystal. Besides, the Hirshfeld surface analysis and 2D fingerprint maps were used for quantitative mapping of intermolecular interactions.

Graphical abstract

采用慢蒸发法制备了哌嗪双三氟乙酸(PTFA)有机单晶。通过P-1空间群的单晶XRD分析,证实了PTFA晶体的中心对称性质。采用密度泛函理论(DFT)对PTFA的分子结构进行优化,以B3LYP 6-311 + + G (d, p)为基,计算化合物的结构参数,并与实验XRD数据进行比较。通过FT-IR光谱分析确定了各种官能团的存在及其频率,该分析基于用于化合物基本模式分配和相关性的势能分布(PED)。通过紫外-可见光谱法获得了PTFA分子在不同溶剂中的电子跃迁谱。HOMO和LUMO分子轨道的分析表明了明显的电荷转移,而自然键轨道(NBO)分析显示了供体-受体相互作用。分子静电势(MEP)和福井函数,由Mulliken电荷推导,确定了分子的反应区域。通过电子定位函数(ELF)和定位轨道定位器(LOL)分析来探索化学键,通过散点图显示片段间和片段内相互作用,在RDG分析中确定了弱相互作用。一阶超极化计算证实了PTFA晶体的非线性光学活性。此外,利用Hirshfeld表面分析和二维指纹图谱对分子间相互作用进行定量定位。图形抽象
{"title":"Exploring the structural and electronic properties of piperazinium bis (trifluoroacetic acid): DFT insights into optimization, spectral, NBO, NLO, Hirshfeld surface, and Fukui analysis","authors":"V. Vijayalakshmi,&nbsp;K. Sivakumar,&nbsp;V. Ragavendran,&nbsp;J. Janczak,&nbsp;N. Kanagathara","doi":"10.1140/epjb/s10051-026-01202-6","DOIUrl":"10.1140/epjb/s10051-026-01202-6","url":null,"abstract":"<div><p>Organic single crystals of piperazinium bis (trifluoroacetic acid) (PTFA) was synthesized by the slow evaporation method. The centrosymmetric nature of the PTFA crystal was confirmed through single crystal XRD analysis with the P-1 space group. The molecular structure of PTFA was optimized by Density functional theory (DFT) with the B3LYP 6–311 +  + G (d, p) basis set to calculated the structural parameters of the compound were compared with the experimental XRD data. The presence of various functional groups and their frequencies were confirmed through FT-IR spectral analysis, based on the potential energy distribution (PED) used for assignments and correlations of the compound’s fundamental modes. The electronic transition spectrum of the PTFA molecule was obtained via UV–Vis spectroscopy in various solvents. The analysis of HOMO &amp; LUMO molecular orbitals indicates a significant charge transfer, while Natural Bond Orbital (NBO) analysis revealed donor–acceptor interactions. The molecular electrostatic potential (MEP) and Fukui functions, derived from Mulliken charges, identified a reactive region of the molecule. The chemical bonding was explored through Electron Localization Function (ELF) &amp; Localized Orbital Locator (LOL) analyses and the weak interactions was identified in RDG analysis with inter &amp; intra-fragment interactions illustrated by scatter plots. The first-order hyperpolarization calculation confirms the nonlinear optical activity of the PTFA crystal. Besides, the Hirshfeld surface analysis and 2D fingerprint maps were used for quantitative mapping of intermolecular interactions.</p><h3>Graphical abstract</h3>\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 7","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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The European Physical Journal B
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