Topic 1 - Structure and symmetry

Topic 1 - Structure and symmetry - Structure...

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Structure and Symmetry MS&E 803: Structure and Properties of dvanced Electronic Materials Advanced Electronic Materials ll 2009, Prof. Mike Arnold Fall 2009, Prof. Mike Arnold Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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Outline Why is understanding structure and symmetry important? Introduce vectors and tensors Calculate current density as a function of electric field using conductivity tensor notation k t diff t t li f tl Look at different ways to classify crystals Seven crystal systems Fourteen Bravais lattices 2 point groups and “crystal classes” 32 point groups and crystal classes 230 space groups Bravais lattice revisited igner itz primitive cell Wigner Seitz primitive cell Primitive unit cell Reciprocal space rillouin zone Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009 Brillouin zone
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Symmetry and properties Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009 Nye Physical Properties of Crystals
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Triclinic Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009 Nye Physical Properties of Crystals
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Monoclinic Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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Orthorhombic and tetragonal Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009 Nye Physical Properties of Crystals
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More tetragonal Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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Trigonal Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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Hexagonal Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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Cubic Prof. Michael Arnold, MS&E 803 – Structure and Properties of Advanced Electronic Materials, Fall 2009
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2D
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Topic 1 - Structure and symmetry - Structure...

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