物质世界四面体结构和地球四面体动力模型研究

本文从演绎研究牛顿万有引力公式入手,运用物理学已经取得的成果,发现了粒子物理数学关系式,并计算出了光子的长度,解决了原子核电四极矩超精细结构、中子放射性问题以及强相互作用问题。在地球科学领域,解决了地球运动力的来源这一世界难题,解释了log引力反平方定律、极游移运动、陆地运动等现象的规律。     

关于四面体的Finsler-Hadwiger不等式

给出四面体中Finsler-Hadwiger不等式的幂指数形式及类似不等式。     

四面体的惯量张量

具有对称性的平面刚体,容易求出它的转动惯量.对没有对称性的四面体计算它的转动惯量却比较困难,利用转动惯量的平行轴定理,使用单重积分即可求出了四面体的转动惯量,进而给出惯量张量.     

虚拟手术仿真中的四面体切割方法

人体软组织及器官的切割仿真是虚拟手术仿真的重要组成部分，软组织及器官的几何模型普遍采用四面体模型，切割的同时，软组织及器官的拓扑结构发生变化，模型中的部分四面体基元必须能够通过分裂或合并以适应上述变化，并影响虚拟手术仿真过程的计算模型、碰撞检测、可视化等。本文对近年出现的四面体重构的规整法、无缝切割法和最小数据集法进行了分析，并总结了上述方法的优缺点。     

The pH effects on the growth rate of KDP (KH2PO4) crystal by investigating Raman active lattice modes

We report on the dependence of the pH value on the growth rates of KDP single crystals. Extensive experimental work has been carried out in order to find the optimum pH ranges for growing KDP single crystals with suitable sizes and high optical quality. Different techniques including micro‐Raman back‐scattering spectroscopy, UV/vis/IR transmission spectroscopy and X‐ray diffraction have been employed for this investigation. Deuterated substituted single crystals of KDP and DKDP also have been grown for the investigation of growth rates and Raman active mode identification purposes. The molecular vibration modes of the grown crystals, including internal modes of PO₄ tetrahedrons molecular vibrations, external modes of optical phonons and hydrogen bonding modes have been determined exactly by micro‐Raman back‐scattering spectroscopy. The best pH values of the solution for the KDP crystal growth with reasonably higher growth rates from aqueous solutions that have been supersaturated ata temperature range of 30–50 °C have been found to be in the pH range of 3.2–5.4. Copyright © 2007 John Wiley & Sons, Ltd.