US-Czechoslovak Research on Unified Theory and Structure of Subperiodic Subgroups of Crystallographic Space Groups (Condensed Matter Theory)

美捷晶体空间群次周期子群统一理论与结构研究（凝聚态理论）

• 批准号: 8922251
• 负责人: Daniel Litvin
• 金额: $ 1.01万
• 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: 1990
• 资助国家: 美国
• 起止时间: 1990-08-01 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8922251&HistoricalAwards=false
• 关键词: US; Czechoslovak; Research; Unified; Theory

The primary objective of this U.S.-Czechoslovakia research project between Dr. Daniel Litvin of Pennsylvania State University and Dr. Vojtech Kopsky of the Czechoslavok Institute of Physics is to develop a systematic, unified theory for defining relationships among subperiodic subgroups of crystallographic space groups. There exists a wide variety of nomenclature and notation for these groups, i.e., Frieze groups, ribbon groups or line groups in two-dimensions, and rod groups, linear space groups or one-dimensional (subper- iodic) groups in three-dimensional space. But no complete standards exist for the subperiodic groups in the International Tables for Crystallography. The researchers intend to set the standards for the orientation of axes and origins of the subperiodic subgroups of the space groups to replace the myriad of choices found in the literature. Their efforts should yield a useful, standardized reference for classifying and characterizing subperiodic groups by their irreducible qualities. Such a work should be an important contribution to the infrastructure of the research communities examining topics in condensed matter and materials science. This project in condensed matter theory fulfills the program objective of advancing scientific knowledge by enabling leading experts in the United States and Eastern Europe to combine complementary talents and pool research resources in areas of strong mutual interest and competence.

美国的主要目标是-捷克斯洛伐克研究 宾夕法尼亚州立大学的丹尼尔·利特文博士 捷克斯拉夫研究所Vojtech Kopsky博士 物理学的目标是建立一个系统的、统一的理论， 定义亚周期子组之间的关系 晶体空间群 有很多种 这些群体的命名和符号，即，Frieze 二维的组、功能区组或线组，以及 杆群、线性空间群或一维（亚- 碘）基团在三维空间中。 但没有完整的 国际上存在的亚周期组标准 晶体学表格。 研究人员打算设置 轴向和原点的标准 空间群的亚周期子群，以取代 在文献中找到无数的选择。 努力 应该产生一个有用的，标准化的参考分类 和特征的亚周期群，其不可约 的天性. 这样的工作应该是一个重要贡献， 研究团体的基础设施 凝聚态和材料科学的主题。 这个凝聚态理论的项目实现了这个计划 促进科学知识的目标， 美国和东欧的主要专家， 联合收割机互补人才，集中科研资源， 共同感兴趣和有能力的领域。