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Understanding the schoenflies notation

by aaaa202
Tags: notation, schoenflies
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aaaa202
#1
Dec1-13, 05:03 PM
P: 1,005
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
#2
Dec2-13, 01:22 AM
Sci Advisor
P: 3,626
http://stuff.mit.edu/afs/athena/cour...oup-full02.pdf
M Quack
#3
Dec2-13, 02:14 PM
P: 672
http://www.amazon.com/Group-Theory-Q.../dp/0486432475

M Quack
#4
Dec2-13, 02:18 PM
P: 672
Understanding the schoenflies notation

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


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