Understanding the schoenflies notation


by aaaa202
Tags: notation, schoenflies
aaaa202
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#1
Dec1-13, 05:03 PM
P: 995
So let's take a hexagonal crystal. The term:
C6 then refers to the 6-fold 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 6-fold 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:
C6h 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?
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DrDu
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#2
Dec2-13, 01:22 AM
Sci Advisor
P: 3,376
http://stuff.mit.edu/afs/athena/cour...oup-full02.pdf
M Quack
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#3
Dec2-13, 02:14 PM
P: 640
http://www.amazon.com/Group-Theory-Q.../dp/0486432475

M Quack
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#4
Dec2-13, 02:18 PM
P: 640

Understanding the schoenflies notation


http://www.amazon.com/Applications-P.../dp/3540604456


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