Line 33: Line 33:
 
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 06:53, 17 November 2013


Crystals and symmetry

Names

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

Project Outline

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

Crystal Symmetries and their properties


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. Example.jpg

Crystal Movement and Symmetry


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

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett