Internal_Order_and_Symmetry_F10

# Internal_Order_and_Symmetry_F10 - Internal Order and...

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1 Internal Order and Symmetry GLY 4200 Fall, 2010

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2 Symmetry The simple symmetry operations not involving displacement are: Rotation Reflection Inversion
3 Symmetry Elements Each symmetry operation has an associated symmetry element Rotation about an axis (A 2 , A 3 , A 4 , or A 6 – in combination we use 2, 3, 4 or 6) Reflection across a mirror plane Inversion through a point, the center of symmetry

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4 Rotation Around An Axis Rotation axes of a cube Note that the labels are points, not the fold of the axis
5 Reflection Across a Plane The shaded plane is known as a mirror plane

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6 Inversion Center Inversion through a point, called the center of symmetry
7 Symmetry Operation Any action which, when performed on an object, leaves the object in a manner indistinguishable from the original object Example – sphere Any action performed on a sphere leaves the sphere in a manner identical to the original A sphere thus has the highest possible symmetry

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Internal_Order_and_Symmetry_F10 - Internal Order and...

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