准晶体的电子比热

计算了10次准晶体Al-Cu-Co，Al-Cu-Li和二十面体准晶Al-Mn-Si在0～1180K温度范围的电子比热，发现这些准晶体的电子比热随温度增加近似线性地增加，但其比热曲线的陡度随费米能级附近的态密度变化而发生较大变化。当电子态密度在费米能级附近的值较大时，电子比热曲线的斜率较大。如：10次准晶Al-Cu-Co，当温度到达1000K时，电子比热为0．2209kB／atom，很明显，此时电子比热不能忽略，讨论了这些准晶体中电子的化学势与温度的关系，发现其化学势随温度增加而增加，这一点准晶体与晶体材料完全不同。     

准周期光子晶体的态密度

本文研究了准晶光子晶体的局域态密度和全态密度.结果表明,准晶光子晶体的局域态密度分布具有和准晶光子晶体完全相同的对称性,带隙内光子晶体中的态密度很小,不同的准晶光子晶体的局域态密度随介电材料的占空比的变化是不同的,这对构造准晶光子晶体是非常重要的.准晶光子晶体的全态密度所显示的带隙和透过率显示的带隙的一致性表明准晶光子晶体在某种程度上是各向同性的.     

一维准晶体的电子性质

本文对一维准晶体的on-site模型做了更接近实际的修正,把电子的hoppingmatrix elements的差异考虑在内,建立一个混合模型。用负本征值理论计算能谱,用EDWW方法计算本征态,得到一系列新结果。在T_2/T_2<1时能带为二主带结构。在1≤T_2/T_1<2.6时为四主带结构,与on-site模型所得的结果相同。在2.63以后则是一种新的四主带结构。T_2/T_1=τ时,B带中全部的态都是延展态。态的局域性质与此值T_2/T_1有关,同一个编号的激发态,T_2/T_1不同时,局域性质会不同。     

强耦合多电子相互作用比热

在强耦合极限和任意电子密度下,得到了多电子相互作用比热与温度和电子密度间的解析形式。讨论了多电子相互作用参量对比热的影响。与数字解比较,解析解便于分析,且适用温度范围加宽了。     

长程跳跃对一维准晶体电子性质的影响

用数值计算方法对计入三种长程跳跃的一维准晶体的电子性质做了较为详细的研究。计算结果表明,长程跳跃的引入,对子带的精细结构有影响,子带精细结构模糊了,特别是带顶及带底部分,但总带的分枝规律没有改变。同时,长程跳跃的引入,波函数的自相似性没有受到影响,Ninomiya分布律的偏差加大,中间态中有部分变得延展,极少数变得局域。     

NaI晶体能态密度的研究

ＥＨＭＯ方法结合特殊点方案，利用自包容子程序，计算了ＮａＩ晶体的态密度，确定了价级位置，得出了其能隙和价带宽度。     

能级统计与金属小粒子电子比热的研究

利用随机矩阵理论，在能级间距分别为等能级分布、泊松分布、正交系综分布、么正系综分布及辛系综分布的情况下，对含电子数为奇数和偶数的金属小粒子的电子比热进行了理论计算；并对其高低温特点作了讨论．     

晶体电子的特性探讨

在量子理论的基础上，对周期场中运动的电子的特性进行了探讨，并将晶体电子与索末菲自由电子的特性进行了详细比较。     

2011年诺贝尔化学奖——准晶体简介

2011年诺贝尔化学奖授予以色列科学家达尼埃尔?谢赫特曼以表彰他对准晶体所作的贡献,这是一项物理、化学、材料等相关学科的重大学术成果。对获奖者的研究经历、准晶体基本性质性能和应用作了简介。     

Supramolecular dendritic liquid quasicrystals

A large number of synthetic and natural compounds self-organize into bulk phases exhibiting periodicities on the 10(-8)-10(-6) metre scale as a consequence of their molecular shape, degree of amphiphilic character and, often, the presence of additional non-covalent interactions. Such phases are found in lyotropic systems (for example, lipid-water, soap-water), in a range of block copolymers and in thermotropic (solvent-free) liquid crystals. The resulting periodicity can be one-dimensional (lamellar phases), two-dimensional (columnar phases) or three dimensional ('micellar' or 'bicontinuous' phases). All such two- and three-dimensional structures identified to date obey the rules of crystallography and their symmetry can be described, respectively, by one of the 17 plane groups or 230 space groups. The 'micellar' phases have crystallographic counterparts in transition-metal alloys, where just one metal atom is equivalent to a 10(3)-10(4)-atom micelle. However, some metal alloys are known to defy the rules of crystallography and form so-called quasicrystals, which have rotational symmetry other than the allowed two-, three-, four- or six-fold symmetry. Here we show that such quasiperiodic structures can also exist in the scaled-up micellar phases, representing a new mode of organization in soft matter.     

Hall Effect in Quasicrystals

The relations between Hall effect and symmetry are discussed for all 2- and 3-dimensional quasicrystals with crystallographical|y forbidden symmetries. The results show that the numbers of independent components of the Hall coefficient (R11) are one for 3-dimensional quasicrystals, two for those 2-dimensional quasicrystals whose symmetry group is non-Abelian, and three for those 2-dimensional quasicrystals whose symmetry group is Abelian. respectively. The quasicrysta[s with the same number of independent components have the same form of the components of R11.     

一维正方准晶的无摩擦接触问题

利用复变函数方法研究了一维正方准晶的无摩擦接触问题,得到了刚性平底压头作用下接触面上应力函数、接触应力及接触位移的显示表达式。结果表明:1接触应力在压头边缘具有-1/2阶的奇异性;2压头下方接触位移与声子场作用力成比例关系。数值算例分析并验证了结论的正确性。在一定条件下,结果可退化为一维四方和六方准晶无摩擦接触问题的解。所得结论为研究准晶材料的接触变形提供了重要的力学量。     

Experimental measurement of the photonic properties of icosahedral quasicrystals

Quasicrystalline structures may have optical bandgap properties-frequency ranges in which the propagation of light is forbidden-that make them well-suited to the scientific and technological applications for which photonic crystals are normally considered. Such quasicrystals can be constructed from two or more types of dielectric material arranged in a quasiperiodic pattern whose rotational symmetry is forbidden for periodic crystals (such as five-fold symmetry in the plane and icosahedral symmetry in three dimensions). Because quasicrystals have higher point group symmetry than ordinary crystals, their gap centre frequencies are closer and the gaps widths are more uniform-optimal conditions for forming a complete bandgap that is more closely spherically symmetric. Although previous studies have focused on one-dimensional and two-dimensional quasicrystals, where exact (one-dimensional) or approximate (two-dimensional) band structures can be calculated numerically, analogous calculations for the three-dimensional case are computationally challenging and have not yet been performed. Here we circumvent the computational problem by doing an experiment. Using stereolithography, we construct a photonic quasicrystal with centimetre-scale cells and perform microwave transmission measurements. We show that three-dimensional icosahedral quasicrystals exhibit sizeable stop gaps and, despite their quasiperiodicity, yield uncomplicated spectra that allow us to experimentally determine the faces of their effective Brillouin zones. Our studies confirm that they are excellent candidates for photonic bandgap materials.