一个包含Euler函数及k阶Smarandache ceil函数的方程及其正整数解

设k≥2为给定的整数．对任意正整数n,k阶Smarandache ceil函数Sk（n）定义为Sk（n）=min{x：x∈N,n｜x^k}．本文的主要目的是利用初等方法研究函数方程Sk（n）=Ф（n）的可解性,并给出该方程的所有正整数解,其中Ф（n）为Euler函数．     

P‐type tin‐oxide thin film transistors for blue‐light detection application

We reported the characteristics of p‐type tin‐oxide (SnO) thin film transistors (TFTs) upon illumination with visible light. Our p‐type TFT device using the SnO film as the active channel layer exhibits high sensitivity toward the blue‐light with a high light/dark read current ratio (I_light/I_dark) of 8.2 × 10³ at a very low driven voltage of <3 V. Since sensing of blue‐light radiation is very critical to our eyes, the proposed p‐type SnO TFTs with high sensitivity toward the blue‐light show great potential for future blue‐light detection applications.

     

A facile method for the synthesis of large‐size Ag nanoparticles as efficient SERS substrates

Silver nanoparticles (Ag NPs) enjoy a reputation as an ultrasensitive substrate for surface‐enhanced Raman spectroscopy (SERS). However, large‐scale synthesis of Ag NPs in a controlled manner is a challenging task for a long period of time. Here, we reported a simple seed‐mediated method to synthesize Ag NPs with controllable sizes from 50 to 300 nm, which were characterized by scanning electron microscopy (SEM) and UV–Vis spectroscopy. SERS spectra of Rhodamine 6G (R6G) from the as‐prepared Ag NPs substrates indicate that the enhancement capability of Ag NPs varies with different excitation wavelengths. The Ag NPs with average sizes of ~150, ~175, and ~225 nm show the highest SERS activities for 532, 633, and 785‐nm excitation, respectively. Significantly, 150‐nm Ag NPs exhibit an enhancement factor exceeding 10⁸ for pyridine (Py) molecules in electrochemical SERS (EC‐SERS) measurements. Furthermore, finite‐difference time‐domain (FDTD) calculation is employed to explain the size‐dependent SERS activity. Finally, the potential of the as‐prepared SERS substrates is demonstrated with the detection of malachite green. Copyright © 2016 John Wiley & Sons, Ltd.     

Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model

We analytically study the quantum phase diagrams of ultracold dipolar Bose gases in an optical square lattice at zero temperature by using the generalized effective-potential Landau theory (GEPLT). For a weak nearest-neighbor repulsion, our analytical results are better than the third-order strong-coupling expansion theory calculation. In contrast to a previous quantum Monte Carlo (QMC) simulation, we analytically calculate phase transition boundaries up to the third-order hopping, which are in excellent agreement with QMC simulations for second-order phase transition.     

基于二维材料MXene的仿神经突触忆阻器的制备和长/短时程突触可塑性的实现

兼具长时程可塑性与短时程可塑性的电子突触被认为是类脑计算系统的重要基础.将一种新型二维材料MXene应用到忆阻器中,制备了基于Cu/MXene/SiO_2/W的仿神经突触忆阻器.结果表明, Cu/MXene/SiO_2/W忆阻器成功实现了稳定的双极性模拟阻态切换,同时成功模拟了生物突触短时程可塑性的双脉冲易化功能和长时程可塑性的长期增强/抑制行为,其中双脉冲易化的易化指数与脉冲间隔时间相关. Cu/MXene/SiO_2/W忆阻器的突触仿生特性,归功于MXene辅助的Cu离子电导丝形成与破灭的类突触响应机理.由于Cu/MXene/SiO_2/W忆阻器兼具长时程可塑性与短时程可塑性,其在突触仿生电子学和类脑智能领域将会具有巨大的应用前景.     

空气耦合电容式微超声换能器设计

建立了空气耦合电容式微超声换能器(CMUT)的理论方法,分析CMUT各个结构参数对其性能参数的影响。根据理论分析结果结合无损检测应用背景设计了一个由16个阵元构成的CMUT阵列,并采用SOI晶圆键合工艺制作。该阵列每个阵元包含16个圆形CMUT敏感单元,敏感单元的半径400μm,中心频率230 kHz。建立CMUT发射和接收瞬态仿真模型分别得到CMUT发射声压和接收灵敏度与激励电压的关系,并通过实验测试验证该仿真模型的准确性。最后通过实验对CMUT与商用压电空耦超声换能器的性能进行对比,实验结果表明CMUT的发射声压和接收灵敏度与商用换能器达到相同数量级,并且能够成功激发和接收铝合金板中A_0模态Lamb波。     

Tumor‐Targeting W18O49 Nanoparticles for Dual‐Modality Imaging and Guided Heat‐Shock‐Response‐Inhibited Photothermal Therapy in Gastric Cancer

Photothermal therapy (PTT) is an emerging noninvasive and precise localized therapeutic modality; however, it is deeply limited by its poor tumor accumulation, inadequate photothermal conversion efficiency, and the thermoresistance of cancer cells. Aimed at these shortcomings, tumor‐targeting nanoparticles (iRGD‐W₁₈O₄₉‐17AAG) comprising carboxyl‐group‐functionalized W₁₈O₄₉ nanoparticles, integrin‐targeting peptide iRGD, and HSP90‐inhibitor 17AAG are developed. The W₁₈O₄₉ nanoparticles act as excellent PTT carriers and computed tomography (CT) imaging contrast agents. The ring type polypeptide iRGD promotes the accumulation of nanoparticles in the tumour and further penetration into cancer cells. The introduction of 17AAG can inhibit the heat‐shock response and overcome the thermoresistance, thus increasing the curative effect of PTT and reducing the chance of tumor recurrence. The W₁₈O₄₉ nanoparticles can also be used to monitor and guide the phototherapeutic through CT and near‐infrared fluorescence imaging after modification with Cy5.5. In addition, superior biosafety is also indicated in both preliminary in vitro and in vivo assessments. The potential of iRGD‐W₁₈O₄₉‐17AAG in tumor targeting, dual modality imaging‐guided and remarkable enhanced PTT of gastric cancer with ignorable side effect both in vitro and in vivo, which may be further applied in clinic, is highlighted.     

自聚焦透镜的傅里叶变换性质及成像性质

对自聚焦透镜的二维傅里叶变换性质,成像性质以及脉冲响应作了系统论述.并从理论上对自行研制的自聚焦透镜的光斑尺寸进行了计算.在不考虑像差的情况下,直径为1.8 mm的透镜其出射光斑直径为1.2 μm,利用狭缝扫描法进行了实际测量,测量值为1.5 μm,理论值与实验值基本吻合,从而说明理论分析的合理性.     

CaTiO3:Pr3+长余辉玻璃的制备与发光性能

用二次熔融法制备了CaTiO3：Pr^3＋红色长余辉玻璃。测量了样品的发射光谱,其发射光谱峰值为611．7,614．5nm,对应于Pr^3＋的4f-4f（^1D2→^3H4）跃迁,与CaTiO3：Pr^3＋晶态长余辉发光粉的发射光谱峰值相一致。玻璃粉与发光粉的质量配比在95：5～80：20时,都可以形成玻璃态并得到红色长余辉发光。研究了气氛和熔融温度对发光性能的影响,在空气环境下,800℃即可得到性能良好的样品。     

锗基底7～11.5μm高性能红外宽带减反射膜的研究

为了提高锗基底的透过率和膜层的机械强度，对锗基底上高性能的红外宽带减反射膜的设计与制备工艺进行了研究。介绍了红外宽带减反射膜的膜料选择、膜系设计以及采用 离子束辅助沉积该膜系的过程。给出了用该方法制备的7～11.5μm波段宽带减反射膜的实测光谱曲线，其峰值透过率高达99.5％以上，在设计波段范围内平均透过率大于97.5％， 膜层附着性能好，光机性能稳定。这对于红外光学系统的应用具有十分重要的意义。