Construction of compatible microstructures for tetragonal ferroelectric single crystals
Construction of compatible microstructures for tetragonal ferroelectric single crystals
复制标题
四方铁电单晶相容微结构的构建
DOI：
10.1117/12.815478
复制
发表时间：
2009
影响因子：
5.3
通讯作者：
J. Huber
中科院分区：
文献类型：
--
作者：
N. Tsou;J. Huber
铁电单晶的微观结构是决定宏观性能和极化行为的关键因素。最近的域配置模型（例如 Li 和 Liu 的模型，《力学与固体物理杂志》，2004 年）采用了满足平均意义上的兼容性的多级层合结构。一般来说，这些模型会产生与精细微观结构相对应的高级结构。然而，最小能量结构可能期望具有低等级并且精确地满足每个畴壁处的兼容性要求。在本文中，定义了精确相容性和平均相容性的标准，然后用于确定四方晶系中能量最小化的微观结构。此外，还发现了给定宏观应变和极化状态下兼容层压结构的最低等级构造。在此基础上，找到了四方系统中从非极化状态到全极化状态的极化路径，这使得结构能够保持在尽可能低的等级，同时保持精确的兼容性。讨论了该理论在更广泛的晶体结构中的应用。
The microstructure of ferroelectric single crystals is a crucial factor that determines macroscopic properties and poling behaviour. Recent models of domain configuration, (such as that of Li & Liu, Journal of Mechanics and Physics of Solids, 2004) employ multi-rank laminate structures that satisfy compatibility in an average sense. In general, these models result in high-rank structures, corresponding to fine microstructure. However, minimum energy structures may be expected to have low rank and to satisfy compatibility requirements at every domain wall exactly. In this paper, the criteria of exact compatibility and average compatibility are defined and then used to determine energy minimizing microstructure in the tetragonal crystal system. In addition, the lowest rank construction of compatible laminate structure for a given macroscopic state of strain and polarization is found. Based on this, poling paths from unpoled to the fully-poled state in the tetragonal system are found, which allow the structure to stay in the lowest possible rank while maintaining exact compatibility. The application of the theory to a broader class of crystal structures is discussed.