Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials

This paper deals with the combination of point phonon and phason forces applied in the interior of infinite planes and half-planes of 1D quasicrystal bi-materials. Based on the general solution of quasicrystals, a series of displacement functions are adopted to obtain Green＇s functions for infinite planes and bi-material planes composed of two half-planes in the closed form, when the two half-planes are supposed to be ideally bonded or to be in smooth contact. Since the physical quantities can be readily calculated without the need of performing any transform operations, Green＇s functions are very convenient to be used in the study of point defects and inhomogeneities in the quasicrystal materials.     

Ti—Zr—Ni基准晶合金的热力学和电化学贮氢性能

对急冷凝固方法、熔融纺丝法、机械合金化法等制备Ti-Zr-Ni基准晶合金的方法进行探讨,综述了几种Ti-Zr-Ni基准晶合金的热力学和电化学贮氢性能。     

一维三元Ⅱ型准晶的重整化群分析

利用重整化群方法,对替代关系为S→SM,M→SL,L→SLL序列的三元Ⅱ准晶上的伊辛模型进行了解析分析,结果表明它的临界温度和临界指数与相应的周期系统相同．     

Al-Mn二十面体准晶的相变研究

分析了Al原子和Mn原子在二十面体准晶中的排列,计算并推导出了在急冷制备过程中,温度变化范围大约在1290.9℃,而熔炉的温度必须达到1810.9℃才能保证二十面体结构的生成,而且要控制温度变化速率,以减少Al晶体生成.而这种二十面体结构是亚稳定的,它在任何温度下存放一定时间都会发生相变.     

五次对称准周期晶格的电子状态结构研究

文中对计算电子结构的集团Ｂｅｔｈｅ晶格方法进行了改进。简化了原子集团的选取方式，提出了求解复数Ｄｙｓｏｎ方程组的矩阵解方法和平均集团Ｂｅｔｈｅ晶格方法。研究了Ｐｅｎｒｏｓｅ　ｔｉｌｉｎｇ的局部、整体和平均电子状态密度。发现了Ｐｅｎｒｏｓｅ　ｔｉｌｉｎｇ的局部电子状态密度对准周期点阵的长程有序性特别敏感的性质。提出了计算Ｐｅｎｒｏｓｅ　ｔｉｌｉｎｇ局部及整体电子状态密度应遵循的原则．得出了某些合金的准晶相可能是电子化合物的结论。