高维空间晶体可能的对称性

The Possible Symmetry of Crystal in High-Dimensional Space

利用SO(n)群的性质和晶体的对称性,研究了高维空间中超方格点阵的可能的对称操作,得到了在4、5、6维空间不仅存在5重轴,而且还存在8、10、12重轴等.

Using the properties of SO(n) group and the symmetry of crystal, we study the possible symmetry operation of the super lattice in high dimensional space. It is obtained that there being not only 5fold axes but also 8,10and 12fold axes in 4,5 and 6 dimensional space.