Crystalline Solids_crystalline and non-crystalline solids

# Crystalline Solids_crystalline and non-crystalline solids -...

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Materials Science and Engineering MIME 1650 Lecture 5 1 1 Chapter 3 - MIME 1650 Materials Science and Engineering Lecture 5: Crystalline Structure and Miller Indices 2 Chapter 3 - Point coordinates for unit cell center are a /2, b /2, c /2 ½½½ Point coordinates for unit cell corner are 111 z x y a b c 000 111 Location of any point within a unit cell can be described using generalized coordinates q, r, and s q – fractional length of a along x axis r – fractional length of b along y axis s – fractional length of c along z axis Convention qrs (no spaces or punctuation) Section 3.8 Point Coordinates

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Materials Science and Engineering MIME 1650 Lecture 5 2 3 Chapter 3 - Crystallographic Directions 1. Vector repositioned (if necessary) to pass through origin. 2. Read off projections in terms of unit cell dimensions a , b , and c 3. Adjust to smallest integer values 4. Enclose in square brackets, no commas [ uvw ] ex: 1, 0, ½ => 2, 0, 1 => [201] -1, 1, 1 families of directions < uvw > z x Algorithm where overbar represents a negative index [111] => y 4 Chapter 3 - Crystallographic Directions Certain groups of directions are equivalent since they are the same as other directions if we redefine the coordinate
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## This note was uploaded on 04/18/2008 for the course MIME 1650 taught by Professor Burham during the Spring '08 term at Toledo.

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Crystalline Solids_crystalline and non-crystalline solids -...

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