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index is the axis coordinate of the end point of the vector, converted <br> | index is the axis coordinate of the end point of the vector, converted <br> | ||
to the nearest whole number. | to the nearest whole number. | ||
+ | [[Image:Example.jpg]] | ||
'''Crystal Movement and Symmetry'''<br><hr><br> | '''Crystal Movement and Symmetry'''<br><hr><br> | ||
'''Combinations of Symmetry Operations'''<br><hr><br> | '''Combinations of Symmetry Operations'''<br><hr><br> |
Revision as of 05:53, 17 November 2013
Crystals and symmetry
NamesJason 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.
Combinations of Symmetry Operations
Crystal Symmetry Groups
References and Links
Gallian, J. (2013). Contemporary abstract algebra. (8th ed.). Boston, MA: Brooks/Cole, Cengage Learning.
MA 453 Notes