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Finite symmetry elements are symmetry elements which don't involve a translation. The International Tables for Crystallography use the notation of an open circle with and
Finite symmetry elements are symmetry elements which don't involve a translation. The International Tables for Crystallography use the notation of an open circle with and without a comma to denote the left/right handed pairs. Starting with the generic right handed position (x,y,z), complete the missing points for the finite symmetry elements shown in (ii), (iii), and (iv). The example for a mirror plane is shown in (i). It is not necessary to denote the ( x,y,z) coordinates of the new positions, but do include a +/ - sign to denote the z positions. The thin dotted lines are for reference. Note that this is NOT a point group yet, so each symmetry element can be applied individually. Identify any additional symmetry elements, if any, which result from the original ones shown below. Identify the point group associated with each set of finite symmetry elements shown below. 'i
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