十面体

It was also found that the film of smaller grains corresponded to a smaller lattice constant of the garnet structure, which implied that fewer Bi〓 ions substituted into the dodecahedral sites in the garnet, due to the fact that the smaller grains resulted in more grain boundaries, thus leading to more serious Bi segregation in the grain boundaries.

分析表明，细小的晶粒意味着薄膜中含有更多的晶界，这样将导致Bi组分在晶界上的偏析较显著，而进入石榴石结构中氧十二面体间隙的Bi〓较少，对于Bi，Al∶DyIG来说，石榴石相晶格常数与{Bi〓}〓呈正相关关系，由此可以解释具有细小晶粒的薄膜对应较小的石榴石相晶格常数。

The resulting materials were characterized by x-ray diffraction, Fourier transform infrared spectroscopy, Nuclear magnetic resonance and Photoluminescence. Those spectra reveal that by adding SiO2 to YAG:Ce precursor, the lattice constant decreases while vacancies are generate due to the co-dopant ions (Si4+) replaces in the place of Al3+ sites of YAG:Ce system. YAG:Ce phosphors with Y3+ dodecahedral site replaced by Ce3+ and diffused effectively as an activator, as a result the photoluminescence intensity increased about ~20-30%.

研究成果显示，掺杂SiO2之YAG：Ce萤光粉经过高温热处理后，由X光绕射、红外线吸收光谱仪以及核磁共振可以得知，当SiO2添加量增加时，YAG：Ce晶格常数会因为Si4+取代Al3+的四面体晶格位置而变小，同时产生将YAG：Ce之铝离子空位缺陷，使活化中心更有效地在YAG：Ce主体中扩散取代Y3+的十二面体晶格位置，提高其发光性质约20~35%。

Nanoparticle ammonium zinc phosphate with dodecahedron morphology was synthesized via the solid-state reaction at room temperature.

采用室温固相反应制备纳米十二面体磷酸锌铵，用微热量法研究该反应的标准摩尔反应焓和纳米磷酸锌铵的标准摩尔生成焓，用4种热分析法研究纳米磷酸锌铵的分解动力学。

The main contributions of this dissertation are In chapter 2, we propose a scientific visualization system modal which is based on large-format display technology and Client-Commware-Server structure. In chapter 3 and chapter 4, we accomplish two large-scale scientific visualization systems. In chapter 5 and chapter 6, we propose HFFT on hexagon and parallel dodecahedron domains, and reduce the computational complexity from O and O to O and O . Lastly, we propose a parallel HFFT on distributed memory computers.

本文的主要贡献如下：提出了使用大屏幕显示技术、适用于大规模科学计算可视化系统的Client-Commware-Server模型；实现了油藏数值模拟和分子模拟两个大规模科学计算的可视化系统；给出了二维三方向六边形区域、三维四方向十二面体区域上的HFFT算法，将变换的计算复杂度分别从直接计算的O和O量级降到了快速算法的O和O量级；最后，本文给出了一种基于分布式存储的并行HFFT算法，并对影响、提高并行算法的若干因素进行了分析。

Scanning electron microscopy observed that the mesoporous silica single crystal had a regular rhombic dodecahedron morphology with a uniform particle size of 5 μm.

扫描电子显微镜观察到这种介孔二氧化硅单晶具有菱形十二面体形貌， X射线衍射和透射电子显微镜测试结果证实这种介孔单晶属于简单立方Pm3n对称结构。

A mathematic model of foam fractionation was set up based on the following assumptions: adsorption equilibrium,same bubble size and regular dodecahedron model of real bubbles.

假设吸附过程始终处于平衡态、气泡大小均一以及每一个气泡均为正十二面体，构建了泡沫分离过程的数学模型。

In this dissertation we propose a set of fast algorithms for computing the DGFT (Discrete Generalized Fourier Transforms) over the hexagon domains and the parallel dodecahedron domains and give the parallel implementation on Linux clusters.

本文在理论上的主要贡献就是利用多色排序、区域分解和多重网格的思想，设计了二维三方向平行六边形区域和三维四方向平行十二面体区域上广义离散傅立叶变换的快速算法并给出它在PC Linux机群上的并行实现。

The Dodecahedron takes the travelers to see the Mathemagician, after giving them a tour through the Numbers Mine, where digits are pulled from the earth like jewels.

需要的十二面体的旅客看到Mathemagician后，让他们通过参观数字矿山，其中数字撤出地球像珠宝。

A theoretical stress tensor model that includes surface tension forces and viscous forces is developed by considering the three-dimensional spatially periodic cells of dodecahedron. Meanwhile, the shear stress and normal stress difference under various shear rates are calculated by computer.

本文在同时考虑表面张力与粘性力的情况下，以三维模型—长菱形十二面体及泡沫的应力张量表达式为基础，得出了泡沫的剪应力及法向应力差表达式，并通过计算机进行了求解，讨论了泡沫粘度、泡沫大小等因素对剪应力及法向应力差的影响。

Each Ln ion adopts a dodecahedron coordination environment with eight coordinated oxygen atoms from two terminal monodentate coordinated FcC6H4COO- units, two terminal monodentate coordinated H2O molecules, and fourμ_2-η~2--OOCH_4C_6Fc units.

稀土离子都是八配位的三角十二面体构型，其中两个来自单齿配位的FcC6H4COO-，两个来自配位的水分子，四个来自双齿桥联的μ_2-η~2--OOCH_4C_6Fc。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。