Group-theoretical considerations concerning domain formation in ordered alloys

作者： G. van Tendeloo , S. Amelinckx

关键词: Point (geometry) 、 Orientation (vector space) 、 Set (abstract data type) 、 Mathematics 、 Transformation (function) 、 Point group 、 Translation (geometry) 、 Order (group theory) 、 Pure mathematics 、 Group (mathematics)

摘要: Domain formation in ordered alloys has been studied from the group-theoretical point of view. A method is derived to determine number orientation variants as well translation groups and lattices disordered structures. The found be equal order group phase divided by that phase. It shown under certain conditions set operations produce all a given original variant can chosen so form group. relating are elements this called generating results theory paper general applied any disorder-order transformation. few examples worked out explicitly illustrate different theorems.