P432  P4232

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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207 P432

Simple space group. 432 clusters in a P lattice.

+x,+y,+z            +z,+x,+y            +y,+z,+x
+x,-y,-z            +z,-x,-y          +y,-z,-x
-x,+y,-z            -z,+x,-y          -y,+z,-x
-x,-y,+z            -z,-x,+y     -y,-z,+x
-x,-z,-y             -y,-x,-z             -z,-y,-x
-x,+z,+y            -y,+x,+z -z,+y,+x
+x,-z,+y            +y,-x,+z      +z,-y,+x
+x,+z,-y            +y,+x,-z           +z,+y,-x

 First 12 points are a 23 cluster. Second 12 generated from first by interchanging + and -, and interchanging y and z.

 

208 P4232

 

+x,+y,+z            +z,+x,+y            +y,+z,+x
+x,-y,-z            +z,-x,-y          +y,-z,-x
-x,+y,-z            -z,+x,-y          -y,+z,-x
-x,-y,+z            -z,-x,+y     -y,-z,+x
1/2-x,1/2-z,1/2-y    1/2-y,1/2-x,1/2-z      1/2-z,1/2-y,1/2-x
1/2-x,1/2+z,1/2+y    1/2-y,1/2+x,1/2+z     1/2-z,1/2+y,1/2+x
1/2+x,1/2-z,1/2+y    1/2+y,1/2-x,1/2+z    1/2+z,1/2-y,1/2+x
1/2+x,1/2+z,1/2-y    1/2+y,1/2+x,1/2-z    1/2+z,1/2+y,1/2-x

 

 First 12 points are a 23 cluster. Second 12 are the second 12 of a 432 cluster translated to (1/2,1/2,1/2)

Looks like I23 and Pn3 except central cluster is rotated 90 degrees.

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Created 23 July 2001, Last Update 31 December 2002

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