基于羟基化酞菁锌-石墨烯纳米材料的和厚朴酚电化学传感器的构建及其应用

通过非共价作用制备了可溶性四羟基酞菁锌-石墨烯纳米复合材料,并将其应用于构建新型高灵敏度和厚朴酚电化学传感器.由于水溶性四羟基酞菁锌和石墨烯的协同作用,显著提高了纳米复合材料的比表面积和导电性,增强了和厚朴酚的电化学响应.在最优实验条件下测定,和厚朴酚在0.01～1.0μmol/L和1.0～100 μmol/L范围内呈...     

毛细管电泳法同时测定血清中的左旋多巴和甲基多巴

建立了毛细管电泳-紫外检测同时测定血清中左旋多巴和甲基多巴的方法。以40 mmol/L硼砂（pH 9.5）为分离缓 冲溶液,在3.45 kPa（0.5 psi）压力下进样7 s、分离电压22 kV、检测波长200 nm、温度25 ℃的条件下进行测定,两 种物质获得了较好的分离。甲基多巴和左旋多巴分别为1.0~64.0 mg/L和1.0~71.0 mg/L时与峰面积呈良好的线性关系, 线性相关系数分别为0.9998和0.9994,检出限分别为0.6和0.8 mg/L(以信噪比为3计)。将该法用于血清中甲基多巴和左 旋多巴的测定,回收率为82.8%~88.8%,相对标准偏差为2.10%~2.63%。     

On exponential sums over primes and application in Waring-Goldbach problem

In this paper, we prove the following estimate on exponential sums over primes: Let κ≥1,βκ=1/2 log κ/log2, x≥2 and α=a/q λsubject to (a, q) = 1, 1≤a≤q, and λ∈R. Then As an application, we prove that with at most O(N2/8 ε) exceptions, all positive integers up to N satisfying some necessary congruence conditions are the sum of three squares of primes. This result is as strong as what has previously been established under the generalized Riemann hypothesis.     

New lanthanide-based complexes constructed from cucurbit[6]uril: Synthesis,structures and properties

Three lanthanide-based complexes, {Gd₂(H₂O)₁₀(CB[6])₂}·CB[6]·6Cl·12H₂O (1), {[Gd₂(H₂O)₈CB[6]₂]·(CuCl₄)·4Cl·46H₂O}_n (2), and {Dy₂(NO₃)₂(H₂O)₁₀(CB[6])}·4NO₃·14H₂O (3) (CB[6] = cucurbit[6]uril), were prepared with cucurbit[6]uril (CB[6]). These complexes were characterized by single-crystal X-ray diffraction, elemental analysis, FT-IR spectroscopy, UV–Vis spectroscopy, thermogravimetric analysis and magnetization measurements. Crystallographic results showed that 1 and 3 are dinuclear and crystallize in the triclinic space group Pī, whereas 2 is a 1-D zigzag supramolecular chain that crystallizes in the monoclinic system in C2/c. The results indicated that temperature has a big effect on the supramolecular assemblies and a different structure inducer also leads to the formation of different coordination polymers. Frequency dependence in the ac susceptibility signals was observed in 3.     

系数具有相同级的复线性微-差分方程亚纯解的增长性

The main purpose of this paper is to study the growth of meromorphic solutions of complex linear differential-difference equations L(z, f) =n∑i=0m∑j=0Aij(z)f(j)(z + ci) = 0 or F(z)with entire or meromorphic coefficients, and ci, i = 0,..., n being distinct complex numbers,where there is only one dominant coefficient.     

Focal shift of cylindrical vector axisymmetric Bessel-modulated Gaussian beam with radial variance phase wavefront

Axisymmetric Bessel-modulated Gaussian beam with quadratic radial dependence (QBG beam) has attracted much attention recently. In this paper, the focal shift of the cylindrical vector QBG beam with radial variance phase wavefront is investigated theoretically by vector diffraction theory. Results show that focus shifts considerably by changing the phase parameter C that indicates the radial phase variance speed. Under condition of small beam parameter μ of cylindrical vector QBG beam, there is one focal peak that shifts far away from optical aperture on increasing C. When μ increases, there may occur two focal peaks that also shift remarkably on increasing C. And it was found that the dependence of focal shift distance on increasing phase parameter is linear. Phase parameter adjusts the focal shift distance, while, polarization angle does not affect focal shift obviously.     

Focusing properties of spirally polarized hollow Gaussian beam

Focusing properties of spirally polarized hollow Gaussian beam (HGB) are investigated theoretically by vector diffraction theory in this article. Results show that the optical intensity in focal region of spirally polarized HGB can be altered considerably by the beam order, numerical aperture of the focusing system, and spiral parameter that indicates the polarization spiral degree of the spirally polarized HGB. Spiral parameter can induce focal pattern change in axial direction remarkably, while beam order and numerical aperture affect radial foal pattern more obviously. The tunable principle of the focal pattern by spiral parameter differs very considerably under condition of different numerical aperture and beam order. Many novel focal patterns may occur in focal pattern evolution. It was also found that focal shift and focal depth can be altered significantly by spiral parameter and beam order.     

两共焦抛物导体柱板间的电势和电场

利用导体曲面函数,将求解拉普拉斯方程转变为积分运算,从而得到了在无电荷区域普遍成立的电势表达式,再通过边界条件导出共焦抛物导体柱板间的电场分布,并给出了电场线方程.