五次八次十次和十二次对称准晶的弹性性质  

ELASTIC PROPERTIES OF PENTAGONAL, OCTAGONAL, DECAGONAL AND DODECAGONAL QUASICRYSTALS

作　　者：胡承正[1] 丁棣华[1] 杨文革[1] 

机构地区：[1]武汉大学物理学系,武汉430072

出　　处：《武汉大学学报（自然科学版）》1993年第3期21-28,共8页Journal of Wuhan University(Natural Science Edition)

基　　金：国家自然科学基金资助的课题

摘　　要：本文利用群表示理论给出了五次、八次、十次和十二次对称准晶体(二维准周期结构加另一维周期结构)的弹性常数、声子应变场和相位子应变场的二次不变量和弹性能表达式,结果表明,它们的声子场都是三维的,弹性性质完全一样,相位子场是二维的,其弹性性质与添加的周期维无关。Elastic properties are given of pentagonal, octagonal, decagonal and dodocagonal quasicrystals (2d quasi-periodic and 1d periodic structures) with group representation theory. It follows that elastic properties due to the phonon field are the same, but elastic properties due to the phason field, which is independent of the additional periodic dimension rare different for the different symmetries considered here.

关 键 词：对称性 声子 相位子 弹性能 准晶体 

分 类 号：O753.3[理学—晶体学]