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Single Crystal vs. Polycrystalline Rb 3 H(SO 4 ) 2 Ba(Zr,Y)O 3-  Periodicity extends uninterrupted throughout entirety of the sample External habit often.

Published byMeredith Washington Modified over 9 years ago

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Presentation on theme: "Single Crystal vs. Polycrystalline Rb 3 H(SO 4 ) 2 Ba(Zr,Y)O 3-  Periodicity extends uninterrupted throughout entirety of the sample External habit often."— Presentation transcript:

1 Single Crystal vs. Polycrystalline Rb 3 H(SO 4 ) 2 Ba(Zr,Y)O 3-  Periodicity extends uninterrupted throughout entirety of the sample External habit often reflects internal symmetry Regions of uninterrupted periodicity amalgamated into a larger compact = grains delineated by grain boundaries Quartz (SiO 2 ) Diamond

2

3 Isotropic vs. Anisotropic * http://www.electronics-cooling.com/assets/images/2001_August_techbrief_f1.jpg graphite*diamond polycrystalline averaging

4 Formal Crystallography The Crystalline State –Periodic arrangement of atoms –Pattern is repeated by translation Three translation vectors define: –Coordinate system –Crystal system –Unit cell shape Lattice points –Points of identical environment –Related by translational symmetry –Lattice = array of lattice points a b c   

5 6 or 7 crystal systems 14 lattices

6 Centered Lattices b a b a b a conventional choice unconventional choice a b both are primitive cells unconventional is primitive conventional is centered unconventional choice conventional choice

7 More on Lattices X

8 Lattice types of some structures

9 Lattice types? Zinc blende (sphaelerite) Fluorite

10 Lattice types? Diamond Perovskite: AMO 3 O A M

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