Symmetric Hilbert spaces arising from species of structures

Symmetric Hilbert spaces such as the bosonic and the fermionic Fock spaces over some lsquo;one particle space’ are formed by certain symmetrization procedures performed on the full Fock space. We investigate alternative ways of symmetrization by building on Joyal's notion of a combinatorial species. Any such species F gives rise to an endofunctor of the category of Hilbert spaces with contractions mapping a Hilbert space to a symmetric Hilbert space with the same symmetry as the species F. A general framework for annihilation and creation operators on these spaces is developed, and compared to the generalised Brownian motions of R. Speicher and M. Bożejko. As a corollary we find that the commutation relation with admits a realization on a symmetric Hilbert space whenever f has a power series with infinite radius of convergence and positive coefficients. Received: 7 April 2000; in final form: 28 November 2000 / Published online: 19 October 2001     

Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters

For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.     

配合物的生成热和配体的质子化热之间的直线焓关系——Ⅶ.Ni(Ⅱ)-2,2′-联吡啶-N-(间位取代苯基)氨基乙酸三元体系

有关Ni(Ⅱ)-N-(间位取代苯基)氨基乙酸二元体系的直线焓和直线熵关系,前文已有报道,本文报告Ni(Ⅱ)-2,2′-联吡啶-N-(间位取代苯基)氨基乙酸(Ni(Ⅱ)-biPy-m-RPhG:R=CH_3,H,CH_3O,Cl)三元体系的生成热研究,发现在此三元体系中亦存在良好的直线焓和直线熵关系。     

双邻苯二酚锑二甲基羟乙铵的晶体结构

含锑配合物是治疗血吸虫病、肿瘤等的常用药物,我们曾对双邻苯二酚锑二乙基羟乙胺进行了晶体结构测定,本文简要报导双邻苯二酚锑二甲基羟乙胺的结构.锑化合物的制法与其二乙基羟乙铵衍生物类似.产物为淡黄色晶体,它在水溶液中长时间放置会变成紫黑色,因此,制得的晶体须立即用丙酮溶解进行重结晶.晶体的密度为1.667g/cm~3.按C_(16)H_(20)O_5NSb的元素分析结果(％)如下:Sb 28.3(28.5),C 43.9(44.9),N 3.3(3.3),H 4.7(4.7).括号内为理论值.     

Investigation of the electrocatalytic behavior of single-wall carbon nanotube films on an Au electrode

The voltammetric behavior of uric acid (UA) was studied with an Au electrode modified with single-wall carbon nanotubes (SWNTs). In 0.1 M HAc-NaAc buffer solution (pH 5.0), the SWNT-modified electrode shows high electrocatalytic activity toward UA oxidation. The electro-oxidation of UA is an irreversible diffusion-controlled process with a diffusion coefficient (D) of 8.85×10⁻⁶ cm² s⁻¹. The peak current increases linearly with the concentration of UA in the range of 4.0×10⁻⁶-7.0×10⁻⁴ M. The detection limit is 1.0×10⁻⁶ M. The SWNT was characterized with scanning electron microscopy (SEM). Furthermore, the SWNT-modified electrode has favorable electrocatalytic activity toward dopamine and norepinephrine. This SWNT-modified electrode can also separate the electrochemical responses of uric acid, norepinephrine and ascorbic acid.     

水相湿法改性纳米碳酸钙表面性质的研究

用特定的表面改性剂在水相中对纳米碳酸钙的悬浮液进行了湿法改性。红外光谱和热失重分析证明,改性剂与碳酸钙之间以化学键结合;沉降体积和接触角的测定结果说明改性粒子在液体石蜡中的润湿性和疏水性得到了提高;透射电子显微镜照片显示改性粒子在液体石蜡中有更好的分散性;体系粘度实验表明改性粒子与液体石蜡之间有较好的相容性。