Exploring Musical Structure Using Tonnetz Lattice Geometry ...
Point Groups and Lattice Geometry
Transcript of Point Groups and Lattice Geometry
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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Kelly, Anthony A., and Knowles, Kevin M.. Crystallography and Crystal Defects (2nd Edition). Hoboken, NJ, USA: John W iley & Sons, 2012. ProQuest ebrary. Web. 23 October 2015.Copyright 2012. John Wiley & Sons. All rights reserved.
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