一维j原子链晶格振动的色散关系  

Dispersion relation of one dimensional j-atom chain lattice vibration

作　　者：郑世燕[1] 袁怡圃[1] 常斗亮 ZHENG Shi-yan;YUAN Yi-pu;CHANG Dou-liang(School of Physics and Information Engineering,Quanzhou Normal University,Quanzhou,Fujian 362000,China)

机构地区：[1]泉州师范学院物理与信息工程学院,福建泉州362000

出　　处：《大学物理》2022年第5期13-18,共6页College Physics

基　　金：泉州师范学院博士科研启动经费(H21014);泉州师范学院青年人才基金(201604)资助

摘　　要：本文以一维j原子链晶格振动为理论计算模型,在简谐近似和最近邻近似下获得其晶格振动方程组,并分别令j=1,2,3得到了一维单原子、双原子以及三原子链晶格振动的色散关系,获得了与现有教材及文献中已有的相同结论.结果表明,本文所获得的一维j原子链晶格振动方程组具有一般性.紧接着以该组晶格振动方程组为出发点,通过数值模拟法分析原子间距、恢复力系数及原子质量等晶体结构参数对一维四原子链晶格振动色散关系的影响,进而加深了对固体物理学晶格振动相关内容的理解,并可为工程上带通滤波器的研发提供一定的参考.In this paper,lattice vibration of one-dimensional j-atom chain is taken as the theoretical calculation model,and its equations are obtained under the harmonic and the nearest adjacent approximation.By setting j=1,2,and 3,respectively,the dispersion relations of one-dimensional single atom,two atoms and three atoms chain lattice vibration are derived which are the same as those in the existing textbooks and references.The results have shown that the equations of one-dimensional j-atom chain lattice vibration obtained in this paper are general.Then starting from this set of equations,the influence of typical crystal structure parameters(such as atomic distance,restoring force coefficient,and atomic mass)on the dispersion relations of one-dimensional four atoms chain lattice vibration is analyzed by numerical simulation,which intensifies the impact of related content of lattice vibration in solid-state physics,and provides a certain reference value for the fabrication of band-pass filters in engineering.

关 键 词：固体物理 一维j原子链 晶格振动 色散关系 

分 类 号：O484[理学—固体物理]