RUI: Cystallography of Magnetic and Non-Magnetic Subperiodic Groups

RUI：磁性和非磁性亚周期群的晶体学

• 批准号: 9305825
• 负责人: Daniel Litvin
• 金额: $ 6.6万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9305825&HistoricalAwards=false
• 关键词: RUI; Cystallography; Magnetic; Non; Subperiodic

This is a theoretical renewal grant under the Research at Undergraduate Institutions program. The principal investigator will complete the theory and derivation of the group theoretical and crystallographic properties of the non-magnetic subperiodic groups, i.e., the layer, rod and frieze groups, and the relationships between the subperiodic groups and space groups. In particular, so called scanning tables will provide the relationship between space groups and layer groups. This work will be published by the International Union of Crystallography in their series of International Tables For Crystallography, and set the standards for these groups for the international crystallographic and physics communities. The tensorial physical properties which distinguish domains of ferroic crystals will be determined. The scanning tables will provide a basis for a study to determine the layer group symmetry and properties of domain twins. The study of these groups will be extended to include the theory and derivation of the group theoretical and crystallographic properties of magnetic subperiodic groups. The tensorial physical property distinction of domains based on their magnetic symmetry will then be considered. This will provide the basis for a study of the magnetic layer group symmetry and properties of magnetic domain twins. %%% The research funded through the NSF program for Research at Undergraduate Institutions involves developing the theory and deriving the properties associated with certain types of symmetry groups. These results will be readily available through the tables to be published as a result of this work and will assist researchers in group theory, crystallography, condensed matter physics and materials science.

这是本科生机构研究计划下的理论续签拨款。主要研究人员将完成非磁性亚周期群，即层、棒和片状群的理论和结晶学性质的理论和推导，以及亚周期群和空间群之间的关系。特别是，所谓的扫描表将提供空间组和层组之间的关系。这项工作将由国际结晶学联合会在其国际结晶学系列表中出版，并为国际结晶学和物理界为这些组织设定标准。区分铁性晶体磁区的张量物理性质将被确定。扫描表将为确定磁区孪晶的层群对称性和性质的研究提供基础。对这些群的研究将扩展到包括群的理论和推导、磁亚周期群的理论和结晶学性质。然后将考虑基于磁对称性的磁畴的张量物理性质的区别。这将为研究磁层群对称性和磁畴孪晶的性质提供基础。由NSF本科生研究计划资助的研究包括发展理论和推导与某些类型的对称群有关的性质。这些结果将很容易通过这项工作发表的表格获得，并将有助于群论、结晶学、凝聚态物理和材料科学的研究人员。