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Lect17_notes

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X-Ray Diffraction, Scanning Electron Microscopy and Microanalysis Lecture 17 Prof. Daniel R. Mumm Chemical Engineering and Materials Science Henry Samueli School of Engineering University of California, Irvine [email protected] University of California, Irvine CBEMS164, Fall 2013 CBEMS 164 – XRD, SEM & Microanalysis: Lecture 17 2 Lattices - 14 Bravais Structures
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 17 3 Use square brackets [uvw] Start at origin of unit cell Identify intercepts of direction with point of exit from unit cell Multiply as necessary to become whole numbers Intercept: ½ , ½ , 1 Multiply by 2 to eliminate fractions [112] x z y Miller Directions [uvw] CBEMS 164 – XRD, SEM & Microanalysis: Lecture 17 4 Defining Crystallographic Points (Coordinates) General Case Specific Example
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 17 5 Atomic Positions – Example for BCC Unit Cell Coordinates Atom Positions in Unit Cell CBEMS 164 – XRD, SEM & Microanalysis: Lecture 17 6 Crystallographic Directions Example A vector of convenient length is positioned such that it passes through the origin of unit cell. The length of the vector projections on each of the three axes is determined (measured in terms of the unit cell dimensions ).
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