Orthorhombic (2/m 2/m 2/m) Space Groups
(C, F and I Lattices)

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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C Lattices

063-cmcm.gif (2753 bytes)

63        Cmcm            Origins: (0,0,0   1/2,1/2,0)

(+x,+y,+z); (-x,-y, 1/2+z); (+x,-y,-z); (-x,+y, 1/2-z)
(-x,-y,-z); (+x,+y, 1/2-z); ( -x,+y,+z); ( +x,-y, 1/2+z)

 

064-cmca.gif (2976 bytes)

64        Cmca   Origins: (0,0,0   1/2,1/2,0)        

(+x,+y,+z); (-x, 1/2-y, 1/2+z); (+x,-y,-z); (-x, 1/2+y, 1/2-z) 
(-x,-y,-z); (+x, 1/2+y, 1/2-z); (-x,+y,+z); (+x, 1/2-y, 1/2+z)

 

065-cmmm.gif (2953 bytes)

65        Cmmm            Origins: (0,0,0   1/2,1/2,0)        

(+x,+y,+z); (-x,-y,+z); (+x,-y,-z); (-x,+y,-z)
(-x,-y,-z); (+x,+y,-z); (-x,+y,+z); ( +x,-y,+z)

 

066-cccm.gif (2744 bytes)

66        Cccm            Origins: (0,0,0   1/2,1/2,0)

(+x,+y,+z); (-x,-y,+z); (-x,-y,-z); (+x,+y,-z)
(+x,-y,1/2-z); (-x,+y,1/2-z); (-x,+y,1/2+z); (+x,-y,1/2+z)

 

067-cmma.gif (2970 bytes)

67        Cmma              Origins: (0,0,0   1/2,1/2,0)

(+x,+y,+z); (-x,+y,-z); (1/2-x,+y,+z); (1/2+x,+y,-z)
(-x,-y,-z); (+x,-y,+z); (1/2+x,-y,-z); (1/2-x,-y,+z)

 

068-ccca.gif (3016 bytes)

68        Ccca            Origins: (0,0,0   1/2,1/2,0)

(+x,+y,+z); (-x,-y,+z); (+x,-y,-z); (-x,+y,-z)
(-x, 1/2-y, 1/2-z); (+x, 1/2+y, 1/2-z); (-x, 1/2+y, 1/2+z); (+x, 1/2-y, 1/2+z)

 

F Lattices

069-fmmm.gif (3392 bytes)

69        Fmmm            
Origins: (0,0,0    0,1/2,1/2    1/2,0,1/2   1/2,1/2,0)        

(+x,+y,+z); (-x,-y,+z); (+x,-y,-z); (-x,+y,-z)
(-x,-y,-z); (+x,+y,-z); (-x,+y,+z); ( +x,-y,+z)

 

070-fddd.gif (4199 bytes)

70        Fddd            Origins: (0,0,0    0,1/2,1/2    1/2,0,1/2   1/2,1/2,0)

(+x,+y,+z); (-x,-y,+z); (+x,-y,-z); (-x,+y,-z)
(1/4-x,1/4-y,1/4-z); (1/4+x,1/4+y,1/4-z); (1/4-x,1/4+y,1/4+z); (1/4+x,1/4-y,1/4+z)

 

I Lattices

071-immm.gif (2901 bytes)

71        Immm            Origins: (0,0,0    1/2.1/2,1/2)     

(+x,+y,+z); (-x,-y,+z); (+x,-y,-z); (-x,+y,-z)
(-x,-y,-z); (+x,+y,-z); (-x,+y,+z); ( +x,-y,+z)

 

072-ibam.gif (2733 bytes)

72        Ibam                Origins: (0,0,0    1/2.1/2,1/2)

(+x,+y,+z); (-x, -y,+z); (+x, -y, 1/2-z); (-x, +y, 1/2-z)
(-x,-y,-z); (+x, +y,-z); ( -x, +y, 1/2+z); (+x, -y, 1/2+z)

 

073-ibca.gif (2938 bytes)

73        Ibca            Origins: (0,0,0    1/2.1/2,1/2)

(+x,+y,+z); (-x, 1/2-y,+z); (+x, -y, 1/2-z); (1/2-x, +y,-z)
(-x,-y,-z); (+x, 1/2+y,-z); (-x, +y, 1/2+z); (1/2+x, -y,+z)

 

074-imma.gif (3030 bytes)

74        Imma                Origins: (0,0,0    1/2.1/2,1/2)

(+x,+y,+z); (-x, 1/2+y,-z); (-x,+y,+z); ( +x, 1/2+y,-z)
(-x,-y,-z); (+x, 1/2-y,+z); (+x,-y,-z); (-x, 1/2-y,+z)

 

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Created 30 March 1999, Last Update 31 December 2002

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