Walther453Fall13 Topic12 - Rhea

Crystals and Symmetry

Jason Krupp (krupp@purdue.edu)
Erik Plesha (eplesha@purdue.edu)
Andrew Wightman (awightma@purdue.edu)
Thilagan Sekaran(trajasek@purdue.edu)

A) Crystal Symmetries and Their Properties
--Miller Indices
--Slip Systems
--Group Properties
B) Crystal Movement and Symmetry
--Translational Movement
--Rotational Movement
--Mirror Movement
C)Combinations of Symmetry Operations
--32 Crystal Classes
D)Crystal Symmetry Groups
--Finite Symmetry Groups
--Non-Finite Symmetry Groups

Many important material properties depend on crystal structure. Some of
these include the following inexhaustive list: conductivity, magnetism,
stiffness, and strength.
Miller Indices represent an efficient way to label the orientation
of the crystals. For planes, the Miller Index value is the reciprocal
of the value of the intersection of the plane with a particular axis,
converted to whole numbers. For directions in a crystal lattice, the
index is the axis coordinate of the end point of the vector, converted
to the nearest whole number. File:Miller.png

Gallian, J. (2013). Contemporary abstract algebra. (8th ed.). Boston, MA: Brooks/Cole, Cengage Learning.