MSE306Chap1Crystallography

MSE306Chap1Crystallography - Introduction To Materials...

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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 1 How do atoms arrange themselves to form solids? Fundamental concepts and language Unit cells Crystal structures Face-centered cubic Body-centered cubic Hexagonal close-packed Close packed crystal structures Density computations Types of solids Single crystal Polycrystalline Amorphous Chapter 3 Outline
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 2 Unit Cell The unit cell is the smallest structural unit or building block that can describe the crystal structure. Repetition of the unit cell generates the entire crystal. Example: 2D honeycomb net can be represented by translation of two adjacent atoms that form a unit cell for this 2D crystalline structure
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 3 The 14 Bravais lattices grouped into 7 lattice types. The restrictions on the lattice parameters (a,b,c) and the angles of the unit cell are listed for each. What are the most common ? Cubic Tetragonnal Hexagonal Orthorhombic Rhombohedral Monoclinic Triclinic
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 4 Notation for lattice positions.
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 5 Lattice translations connect structurally Equivalent positions (example shown is body centered) in various unit cells.
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 6 Positions, Directions, and Planes x, y, z u, v, w X Y Z Lattice Positions and Directions: 1) Always establish an origin 2) Determine the coordinates of the lattice points of interest 3) Translate the vector to the origin if required by drawing a parallel line or move the origin. 4) Subtract the first point from the second: u2-u1,v2-v1,w2-w1 5) Clear fractions and reduce to lowest terms 1) Write direction with square brackets [uvw] 2) Negative directions get a bar over them.
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Introduction To Materials Science, Chapter 3, The structure of crystalline solids University of Virginia, Dept. of Materials Science and Engineering 7 Indices of Planes - Miller Indices 1) Identify the locations where the plane intercepts the x, y, z axes as the fractions of the unit cell edge lengths a, b, c. 1) Infinity if the plane is parallel.
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This note was uploaded on 11/24/2009 for the course MSE 306 taught by Professor Smith during the Spring '09 term at UVA.

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MSE306Chap1Crystallography - Introduction To Materials...

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