# 14 - Symmetry operations (rotation, mirror plane,...

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Click to edit Master subtitle style 12/2/10 Symmetry operations (rotation, mirror plane, rotoinversion) Only 32 ways these symmetry operations can combine… 32 point groups Mineral fits into 1 of 6 crystal systems Mineral can have a specific FORM

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12/2/10 periodic repetitions along vectors OR translations of ions --- achieved in 1-D, 2-D, 3-D l - & l row-lattices l l l plane-lattices l l space-lattices internal symmetry operations --- not occur as symmetry element Lattice: an imaginary pattern of points (or nodes) that has an environment that is identical to any other node in the pattern; repetition of a pattern TRANSLATION OPERATIONS
12/2/10 Row lattices

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12/2/10 Row lattices
12/2/10 Space lattices produced by translations along two vectors- repeated with constant distances and angles

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12/2/10 Plane lattices 1. Oblique net p= primitive, nodes only at the corners Fig. 7.5
Plane lattices 2. Rectangular net p= primitive, nodes only at the corners Fig. 7.5

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## This note was uploaded on 12/01/2010 for the course GEO 26710 taught by Professor Catlos during the Fall '10 term at University of Texas.

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14 - Symmetry operations (rotation, mirror plane,...

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