A large volume cubic press with a pressure-generating capability up to about 10 GPa

A massive cubic press, with a maximum load of 1400 tons on every WC anvil, has been installed at the High Pressure Laboratory of Peking University. High-P experiments have been conducted to examine the performance of the conventional experimental setup and some newly developed assemblies adopting the anvil-preformed gasket system. The experimental results suggest that (1) the conventional experimental setup (assembly BJC2-0) can reach pressures up to about 6 GPa with a large cell volume of 34.33 cm³; (2) the anvil-preformed gasket system, despite decreasing the P-generating efficiency, extends the P-generating capability up to about 8 GPa at the expense of reducing the cell volume down to 8.62 cm³ (assembly BJC2-6); (3) due to the large cell volume, it is possible to make further modifications to extend the pressure range, as readily demonstrated, to about 10 GPa (assembly BJC5-7); (4) the effect of high temperature on the pressure generation of the press is not significant. It follows that this cubic press can be very useful in synthesizing materials of large volume at high pressures and to the studies such as high-P phase equilibrium, trace element partitioning and isotope fractionation in the research fields of Earth and planetary sciences.     

国产六面顶压机多晶种法合成宝石级金刚石单晶

对国产六面顶压机平台下使用多晶种法合成宝石级金刚石单晶进行了系统的研究. 通过合理调整温度梯度法的合成腔体组装, 采用多晶种法, 探索多晶种法金刚石合成的压力和温度区间, 在单个合成腔体内放置3–5颗金刚石晶种, 成功合成出多颗(3–5)优质Ib型宝石级金刚石单晶. 多颗晶种的引入, 单次实验合成的多个金刚石晶体晶形及品质一致; 同时, 晶体的整体生长速度也有明显的增大. 多晶种法金刚石单晶合成的研究, 可以有效地利用腔体空间、提高单次金刚石单晶合成的效率, 解决压机大型化下高温高压资源利用率低的问题; 同时, 为宝石级金刚石单晶商业化生产提供重要的依据. 关键词： 金刚石 国产六面顶 多晶种 温度梯度法     

A Bose-Einstein condensate wave-packet as a soliton in an ideal potential well

The normalized soliton wave-functions corresponding to Bose-Einstein condensate (BEC) wave-packets are studied by an analogy to the solutions of the optical cubic Schrödinger equation. In addition, the two fundamental invariants associated with BEC are evaluated.     

核密度中含有参数的Cauchy主值积分的求积公式

在本文中，我们以二元三次复插值样条函数作为逼近工具，给出了光滑封闭曲线上的核密度中含有参数的各种Ｃａｕｃｈｙ主值积分的求积公式，误差估计及逼近性定理。     

六方氮化硼的振动光谱与立方氮化硼的合成

 以X射线衍射分析作参比，分析了高度三维有序到近乱层结构的9种六方氮化硼的红外和拉曼光谱，并进行了立方氮化硼的高温高压合成。光谱分析表明，随着晶性的降低，六方氮化硼的低频红外吸收峰的位置及拉曼谱线等基本振动光谱发生明显的特征性的变化，并伴随出现各自不同的次级光谱结构。合成结果表明，在触媒作用下，立方氮化硼的形成需要六方氮化硼原料有一定的结晶度，但立方氮化硼合成效果与六方氮化硼结晶度并非是简单的单调关系。对振动光谱和合成试验的结果进行了讨论。     

Structure, spin reorientation and M?ssbauer effect studies of Tb0.3Dy0.7(Fe1?xAlx)1.95 alloys

The effect of Al substitution for Fe on crystal structure, magnetostriction and spontaneous magnetostriction, anisotropy and spin reorientation of a series of polycrystalline Tb_0.3Dy_0.7(Fe_1−x Al_x)_1.95 alloys (x = 0, 0.05, 0.1, 0.15, 0.20, 0.25, 0.30, 0.35) at room temperature and 77 K was investigated systematically. It was found that the primary phase of Tb_0.3Dy_0.7(Fe_1−x Al_x)_1.95 is the MgCu₂-type cubic Laves phase structure when x < 0.4 and the lattice constant a of Tb_0.3Dy_0.7(Fe_1−x Al_x)_1.95 increases approximately and monotonically with the increase of x. The substitution of Al leads to the fact that the magnetostriction λ inceases slightly in a low magnetic field (H ⩽ 40 kA/m), but decreases sharply and is easily close to saturation in a high applied field as x increases, showing that a small amount of Al substitution is beneficial to a decrease in the magnetocrystalline anisotropy. It was also found that the spontaneous magnetostriction λ ₁₁₁ decreases greatly with x increasing. The analysis of the M?ssbauer spectra indicated that the easy magnetization direction in the {110} plane deviates slightly from the main axis of symmetry with the changes of composition and temperature, namely spin reorientation. A small amount of non-magnetic phase exists for x = 0.15 in Tb_0.3Dy_0.7(Fe_1−x Al_x)_1.95 alloys and the alloys become paramagnetic for x > 0.15 at room temperature, but at 77 K the alloys still remain magnetic phase even for x = 0.2. At room temperature and 77 K, the hyperfine field decreases and the isomer shifts increase with Al concentration increasing.     

Cubic spline method for a class of nonlinear singularly-perturbed boundary-value problems

In this paper, we present a numerical method for solving a class of nonlinear, singularly perturbed two-point boundary-value problems with a boundary layer on the left end of the underlying interval. The original second-order problem is reduced to an asymptotically equivalent first-order problem and is solved by a numerical method using a fourth-order cubic spline in the inner region. The method has been analyzed for convergence and is shown to yield anO(h ⁴) approximation to the solution. Some test examples have been solved to demonstrate the efficiency of the method.The authors thank the referee for his helpful comments.     

作物垄作的数学模型

应用高等数学中对面积的曲面积分等方法,建立了垄作种植中半椭圆形、抛物线型和三角形垄的数学模型,比较了不同垄形、垄宽、垄高在增加单位土地表面积和突出地面垄体体积的效果.     

二次变系数椭圆方程的三次有限体积元方法

In this paper, we present a finite volume framework for second order elliptic equations with variable coefficients based on cubic Hermite element. We prove the optimal H1 norm error estimates. A numerical example is given at the end to show the feasibility of the method.     

对立方型状态方程的分析和改进及对超临界工质的计算

1对现有立方型状态方程特性的分析研究与改进现有的立方型状态方程无论是SRK方程还是PR方程都有其固定的适用范围，井且与偏心因子有关。另外，这两个方程的引力项中均引人温度函数叫Tr；叫。但是，偏心因子。不反映强极性物质的特点，这对计算强极性质起不到应有的作用，还有这两个方程中的常数a和b，其系数几和成都是定值，特别是门数值偏大，对计算液体密度是不利的，甚至有时还出现摩尔体积比6值还小，即V＜6，这是很不合理的。在超临界流体区流体密度也比较大，相当于液体密度，故这种状态方程也不适用，基于这些不足之处，本文作者…