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wiliiamangel

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[交流] 弱弱的问一下什么叫Niggli-reduced Cell?

如题,请问各位虫友么,啥叫Niggli-reduced Cell(Niggli约化胞),这是什么东西,它和一般的Bravais点阵有什么关系啊?我是在用diamon画一个晶包的结构图时发现的,它给了我两个数据,其中一个就叫Niggli-reduced Cell,2个数据里面一些a,b,c,α,β,γ都不一样么,求解????谢谢!
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wiliiamangel(金币+1):谢谢参与
木瓜少爷(金币+1): 鼓励回帖交流~ 2011-09-16 16:51:23
2楼2011-09-16 11:00:33
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wiliiamangel

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引用回帖:
2楼: Originally posted by cluster8676 at 2011-09-16 11:00:33:
看看这个http://en.wikipedia.org/wiki/Paul_Niggli

感觉没什么用么~~~
3楼2011-09-17 09:41:48
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lichun1210(金币+2): 欢迎常来晶体版交流! 2011-09-17 22:44:00
引用回帖:
3楼: Originally posted by wiliiamangel at 2011-09-16 13:41:48:
感觉没什么用么~~~

从我个人理解,这个page阐述了Niggli在three-dimensional arithmetic crystal classes (symmorphic space groups)做出了很大的贡献. 如果你查一下什么是symmorphic space groups, 你会得到下面的信息.
Arithmetic crystal classes (73 in three dimensions). These are determined by the point group together with the action of the point group on the subgroup of translations. In other words the arithmetic crystal classes correspond to conjugacy classes of finite subgroup of the general linear group GLn(Z) over the integers. A space group is called symmorphic (or split) if there is a point such that all symmetries are the product of a symmetry fixing this point and a translation. Equivalently, a space group is symmorphic if it is a semidirect product of its point group with its translation subgroup. There are 73 symmorphic space groups, with exactly one in each arithmetic crystal class. There are also 157 nonsymmorphic space group types with varying numbers in the arithmetic crystal classes.

再和Bravais lattice 比较一下你就知道是什么区别了.

http://en.wikipedia.org/wiki/Bravais_lattice
4楼2011-09-17 11:40:27
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