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Lattice systems and group symmetries 
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#1
Apr2714, 09:19 PM

#2
May614, 11:48 PM

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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?



#3
May714, 12:44 AM

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Thanks
PF Gold
P: 1,908

Marder is saying that if there is a linear map between the two lattice systems, then they are equivalent. The original system is defined by a Rotation (R) and a translation (a).
The matrix S and its inverse are performing a similarity transformation (coordinate system change) on R, and also apply it to the translation. Marder then notes if there exists one such linear transform, then there exists a family of them. Personally I found Marder too abstract for my taste, though the group theoretical approach to crystallography is very powerful. But most of the math is not very difficult  it just appears dense because of the writing style. 


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