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Lect18_notes

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X-Ray Diffraction, Scanning Electron Microscopy and Microanalysis Lecture 16 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 16 2 FCC Stacking Sequence (111) planes Two possibilities for 3rd layer Stacking abc fcc Stacking abab hcp
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 3 Lattices - 14 Bravais Structures CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 4 FCC C 60 Structure
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 5 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 16 6 Representation of a Series of Parallel Planes
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 7 (100) (110) (111) (510) FCC Crystals oriented to Look Parallel to Various Planes CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 8 Lattices - 14 Bravais Structures
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CBEMS 164 – XRD, SEM & Microanalysis: Lecture 16 9 Lattice Geometry and the Unit Cell In thinking about the structure of crystals, we start by ignoring the atoms themselves. We focus instead on a set of imaginary points that have a fixed arrangement in space. (Lattice points) This set of points have a fixed arrangement in space with regards to the atoms that make up the crystal, and can be thought of as a ± skeleton ² or framework that the crystal is built upon.
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