石英砂-聚乙烯二元混合体系的太赫兹光谱特性研究

太赫兹时域光谱技术目前逐渐应用于对岩石的研究中。在制备样品时通常需要将岩石磨碎后与粘合剂混合压片，岩石的含量、粒径等都会对测试结果造成影响。将自然界中常见的石英砂粉末（不同粒径）与聚乙烯（PE）微粒以不同的比例混合，通过压片的手段将其制成适用于太赫兹系统测试的样品，用以探究样品中石英砂的含量以及其粒径对实验结果的影响。首先研究石英砂含量对实验结果造成的影响。在保持样品中石英砂的粒径不变的情况下，发现不同石英砂含量样品的时域光谱图中，时间延迟以及峰值都呈现出非单调的变化趋势。为了探究出现这种现象的原因，对样品的折射率以及吸收系数做了进一步的分析。结果表明样品的折射率会随着样品中石英砂含量的增加而逐渐增大，通过适用于本实验的有效介质理论能够解释这一现象。样品对于太赫兹波段的吸收系数随着石英砂含量的增加呈现出先增大后减小的现象，并且在石英砂质量分数为60%时达到最大值。为了解释这一现象产生的原因，利用扫描电子显微镜对样品的微观形貌进行观察，发现随着石英砂含量的增加，在压制样品时PE颗粒破碎程度加剧，导致PE的粒径变小。根据米氏散射以及瑞利散射的原理，石英砂粒径不变而PE粒径减小，随之降低的散射强度与石英砂的吸收效应发生竞争，从而导致了吸收系数先增大后减小的现象。进一步研究了石英砂粒径对实验结果的影响，对不同粒径的石英砂样品进行测试，发现折射率不随石英砂粒径的变化而改变，但其吸收系数随着石英砂粒径的减小而逐渐减小。根据米氏散射，样品吸收系数的变化是由于散射强度随石英砂粒径的减小而逐渐减小。研究表明，样品中石英砂的含量和粒径都会对实验结果产生影响。石英砂粒径相同时，样品的吸收系数随石英砂含量的增加呈现先增大后减小的趋势，样品的折射率随石英砂含量的增加而逐渐增大；石英砂含量相同时，样品的吸收系数随石英砂粒径的减小而逐渐减小，而样品的折射率基本不变。这一结论对矿物样品的制备以及对混合物的实验结果分析有一定程度的指导意义。     

Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity

In our previous two works, we studied the blow-up and lifespan estimates for damped wave equations with a power nonlinearity of the solution or its derivative, with scattering damping independently. In this work, we are devoted to establishing a similar result for a combined nonlinearity. Comparing to the result of wave equation without damping, one can say that the scattering damping has no influence.     

Scattering coefficients for a sphere in a visco-acoustic medium for arbitrary partial wave order

Analytical solutions are reported for the scattering coefficients of a solid elastic sphere suspended in a viscous fluid for arbitrary partial wave order. Expressions are derived for incident compressional and shear wave modes, taking into account the viscosity of the surrounding fluid and resultant wave mode conversion. The long compressional wavelength limit is employed to simplify the derivation, whereas no restriction is placed on the shear wavelength in the fluid compared to the particle dimension. The analytical approximations are compared with numerical results obtained from matrix inversion of the boundary equations and agree within the validity domain of the solutions.     

双甘氨肽与高定向热解石墨的散射动力学研究

本文通过反应力场来研究中性双甘氨肽与高取向热解石墨的碰撞动力学过程，分别模拟初始入射角度为0o、20o、45o和70o以及入射能量为481.5 kJ/mol和表面温度为677 K的情况，并且确定和分析了散射产物的角度分布、平动能分布、内能分布和表面滞留时间分布. 双甘氨肽是一种多原子分子，具有较多的低频振动模式和较强的表面吸附相互作用，这些使得碰撞过程的表面滞留时间较长和容易造成能量损失，尤其是表面法线方向. 由于碰撞分子的动量沿表面法线方向上明显地发生损失，而沿表面平行方向上的动量则会大部分保留，因此，其散射角通常会呈现出超镜面反射分布，并且末态的平动能要远小于所谓硬立方模型的预测值. 本文加深了多肽分子与高取向热解石墨碰撞及其能量转移过程的认识和理解，有助于设计在稀薄大气中收集这类大分子的中性气体浓缩器.     

The energy-critical nonlinear wave equation with an inverse-square potential

We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocussing case, we prove that arbitrary initial data in the energy space lead to global solutions that scatter. In the focusing case, we prove scattering below the ground state threshold.     

Molecular-Orbital Delocalization Enhances Charge Transfer in π-Conjugated Organic Semiconductors

π-Conjugated organic semiconductors are promising materials for surface-enhanced Raman scattering (SERS)-active substrates based on the tunability of electronic structures and molecular orbitals. Herein, we investigate the effect of the temperature-mediated resonance-structure transitions of poly(3,4-ethylenedioxythiophene) (PEDOT) in poly(3,4-ethylenedioxythiophene)-poly(styrenesulfonate) (PEDOT : PSS) films on the interactions between substrate and probe molecules, thereby affecting the SERS activity. Absorption spectroscopy and density functional theory calculations show that this effect occurs mainly due to delocalization of the electron distribution in molecular orbitals, effectively promoting the charge transfer between the semiconductor and probe molecules. In this work, we investigate for the first time the effect of electron delocalization in molecular orbitals on SERS activity, which will provide new design ideas for the development of highly sensitive SERS substrates.     

Semiconductor SERS on Colourful Substrates with Fabry-Pérot Cavities

Non-metallic materials have emerged as a new family of active substrates for surface-enhanced Raman scattering (SERS), with unique advantages over their metal counterparts. However, owing to their inefficient interaction with the incident wavelength, the Raman enhancement achieved with non-metallic materials is considerably lower with respect to the metallic ones. Herein, we propose colourful semiconductor-based SERS substrates for the first time by utilizing a Fabry-Pérot cavity, which realize a large freedom in manipulating light. Owing to the delicate adjustment of the absorption in terms of both frequency and intensity, resonant absorption can be achieved with a variety of non-metal SERS substrates, with the sensitivity further enhanced by ≈100 times. As a typical example, by introducing a Fabry-Pérot-type substrate fabricated with SiO₂/Si, a rather low detection limit of 10⁻¹⁶ M for the SARS-CoV-2S protein is achieved on SnS₂. This study provides a realistic strategy for increasing SERS sensitivity when semiconductors are employed as SERS substrates.     

Achieving Molecular Recognition of Structural Analogues in Surface-Enhanced Raman Spectroscopy: Inducing Charge and Geometry Complementarity to Mimic Molecular Docking

Molecular recognition of complex isomeric biomolecules remains challenging in surface-enhanced Raman scattering (SERS) spectroscopy due to their small Raman cross-sections and/or poor surface affinities. To date, the use of molecular probes has achieved excellent molecular sensitivities but still suffers from poor spectral specificity. Here, we induce “charge and geometry complementarity” between probe and analyte as a key strategy to achieve high spectral specificity for effective SERS molecular recognition of structural analogues. We employ 4-mercaptopyridine (MPY) as the probe, and chondroitin sulfate (CS) disaccharides with isomeric sulfation patterns as our proof-of-concept study. Our experimental and in silico studies reveal that “charge and geometry complementarity” between MPY's binding pocket and the CS sulfation patterns drives the formation of site-specific, multidentate interactions at the respective CS isomerism sites, which “locks” each CS in its analogue-specific complex geometry, akin to molecular docking events. Leveraging the resultant spectral fingerprints, we achieve > 97 % classification accuracy for 4 CSs and 5 potential structural interferences, as well as attain multiplex CS quantification with < 3 % prediction error. These insights could enable practical SERS differentiation of biologically important isomers to meet the burgeoning demand for fast-responding applications across various fields such as biodiagnostics, food and environmental surveillance.     

Expanding the Range of Bioorthogonal Tags for Multiplex Stimulated Raman Scattering Microscopy

Multiplex optical detection in live cells is challenging due to overlapping signals and poor signal-to-noise associated with some chemical reporters. To address this, the application of spectral phasor analysis to stimulated Raman scattering (SRS) microscopy for unmixing three bioorthogonal Raman probes within cells is reported. Triplex detection of a metallacarborane using the B−H stretch at 2480–2650 cm⁻¹, together with a bis-alkyne and deuterated fatty acid can be achieved within the cell-silent region of the Raman spectrum. When coupled to imaging in the high-wavenumber region of the cellular Raman spectrum, nine discrete regions of interest can be spectrally unmixed from the hyperspectral SRS dataset, demonstrating a new capability in the toolkit of multiplexed Raman imaging of live cells.