
#1
Dec113, 05:03 PM

P: 995

So let's take a hexagonal crystal. The term:
C_{6} then refers to the 6fold rotation group. I litterarily have no idea about what a group is but still want to understand the basic things qualitatively. So what is meant by the 6fold rotation group? Is it the set of 6 fold rotations leaving the crystal invariant. How many members are there in the case of the 2d and 3d hexagonal lattice? Combination of symmetry operations are also considered. For example: C_{6h} is the 6 fold rotation group plus the addition of a horizontal reflection plane. In this case, what specifies the position of this plane other than it being perpendicular to the rotation axis? 



#2
Dec213, 01:22 AM

Sci Advisor
P: 3,376




#3
Dec213, 02:14 PM

P: 640





#4
Dec213, 02:18 PM

P: 640

Understanding the schoenflies notation 


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