Wednesday, March 08, 2006
I have been researching crystallography and rotational formations as suggested at the review. I think that rotation and a varied datum line will improve my field, and I am currently developing a system to rebuild using these techniques. This is some of the information I have gathered that I think is applicable to my project, and could be used to improve my text:
A generalized form of a symmetry operation has been derived. The field is a space formed by the relationship of reciprocal pieces. Rotation matrices and translation vectors contribute to the understanding of symmetry in space and its implications. They aid in determining origin specification, systematic enhancement, centric and A centric reflections, and group determinations.
The mirror plane can reflect a face from one side of the crystal to the other. Consequent to being reflected by a mirror plane, the reflected face must be identical but reversed in orientation. A rotational axis is an imaginary line drawn through the crystal. The face is repeated at various intervals during the rotation around the axis. The face is identical to the original face when viewed head on. In other words, if the face has a right handed slant, after the rotation the face maintains the right handed slant. The rotoinversion axis goes one step further, by inverting the face through the crystals center to the other side after rotation. The resulting face is completely flipped, up is down and right is left.
THE TRICLINIC SYSTEM
The Triclinic system is the lowest symmetry system in crystallography. It has only a center, and the crystallographic axes are inclined with respect to each other. They axes are of differing lengths, and no angle equals 90 degrees. The rotation is on an wqual interval about the crystallographic axis. Faces on one side of the crystal are inverted to the other side. The inversion switches everything about the individual faces. What is left is right and what is up is down.
.: stan 10:57 PM
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