二维三角晶格垂直于平面的振动模式研究  

Study on Vibration Modes of Two Dimensional Triangular Lattice in Vertical Plane

作　　者：金丽珍 王行乐 上官晓霞 吴显丽 陈昊[1] 毛勇华 谢建平[1] JIN Lizhen;WANG Xingle;SHANGGUAN Xiaoxia;WU Xianli;CHEN Hao;MAO Yonghua;XIE Jianping(School of Science,Huzhou University,Huzhou 313000,China;Institute of Science and Technology,HuzhouCollege,Huzhou 313000,China;Weizheng Intellectual Property Technology Co.,Ltd,Taizhou 318000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000 [2]湖州学院理工学院,浙江湖州313000 [3]维正知识产权科技有限公司,浙江台州318000

出　　处：《湖州师范学院学报》2021年第4期20-25,共6页Journal of Huzhou University

基　　金：湖州师范学院教学改革项目(JGKC1812、JGB012);湖州师范学院大学生创新创业训练计划项目(202001119)。

摘　　要：以二维三角晶格为例,考察其垂直于平面的晶格振动,在简谐近似和最近邻近似下,推导晶格振动的格波解和色散关系,利用Matlab软件作出二维色散关系曲线,并将计算结果与二维六角晶格振动情况作比较.结果显示,两种情况下色散关系表达式的形式相同,在原子质量、晶格常数和恢复力系数相等的情况下,二维三角晶格的振动频率是二维六角晶格振动频率的√2倍.Taking a two-dimensional triangular lattice as an example,we investigate it’s lattice vibration in the vertical plane.Under the harmonic approximation and the nearest neighbor approximation,the lattice wave solution and dispersion relation of the lattice vibration are derived,and the two-dimensional dispersion relation curve is plotted by using MATLAB software.Furthermore,the calculated results are compared with the vertical vibration of two-dimensional hexagonal lattice.We obtain the same expression of dispersion relation in both cases.When the atomic mass,lattice constant and restoring force coefficient are equal,the vibration frequency of two-dimensional triangular lattice is √2 times that of two-dimensional hexagonal lattice.

关 键 词：二维三角晶格 最近邻近似 色散关系 

分 类 号：O731[理学—晶体学]