Steven Dutch, Professor Emeritus, Natural and Applied Sciences,
Universityof Wisconsin - Green Bay
To the right of each space group is a listing of coordinate points. These are thecoordinates to which a general point (x,y,z) is transformed by the space group. Origins(called "equivalent points" in the International Tables), areadditional points around which the points are transformed. For example, (0,0,0) refers toa corner of the unit cell, (1/2,1/2,1/2) to the center. All space groups have origin(0,0,0). For a space group with an additional origin (1/2,1/2,1/2), point (x,y,z) is alsotransformed to (1/2+x,1/2+y,1/2+z) and so on.
111
p4i2m (+x,+y,+z); (-x,-y,+z); (-x,+y,-z); (+x,-y,-z)
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112
p4i2c (+x,+y,+z); (-x,-y,+z); (-x,+y, 1/2-z); (+x,-y, 1/2-z)
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113
p4i21m (+x,+y,+z); (-x,-y,+z); (1/2-x, 1/2+y,-z); (1/2+x, 1/2-y,-z)
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114
p4i21c (+x,+y,+z); (-x,-y,+z);
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115
p4im2 (+x,+y,+z); (-x,-y,+z); (-x,+y,+z,); (+x,-y,+z)
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116
p4ic2 (+x,+y,+z); (-x,-y,+z);
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117
p4ib2 (+x,+y,+z); (-x,-y,+z);
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118
p4in2 (+x,+y,+z); (-x,-y,+z);
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119 i4im2 Origins: (0,0,0);
(1/2,1/2,1/2) (+x,+y,+z); (-x,-y,+z); (-x,+y,+z,); (+x,-y,+z)
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120 i4ic2 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)
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121 i4i2m Origins: (0,0,0);
(1/2,1/2,1/2) (+x,+y,+z); (-x,-y,+z); (-x,+y,-z); (+x,-y,-z)
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122 i4i2d Origins: (0,0,0);
(1/2,1/2,1/2) (+x,+y,+z); (-x,-y,+z); (-x,1/2+y,1/4-z); (+x,1/2-y,1/4-z)
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Created 30 March 1999, Last Update 11 June 2020