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Illinois MATSE 280 Introduction to Engineering Materials, Lecture 3 Part 1: Structure of Metals and Ceramics
By Duane Douglas Johnson^{1}, Omar N Sobh^{1}
1. University of Illinois at UrbanaChampaign
Category
Published on
Abstract
Structures of Metals and Ceramics
Goals
 Define basic terms and give examples of each:
 Lattice
 Basis Atoms (Decorations or Motifs)
 Crystal Structure
 Unit Cell
 Coordination Numbers
 Describe hardsphere packing and identify cell symmetry
 Crystals density: the mass per volume (e.g. g/cm^{3})
 Linear Density: the number of atoms per unit length (e.g. cm^{1})
 Planar Densities: the number of atoms per unit area (e.g. cm^{2})
Learning Objective
 Know and utilize definitions to describe structure and defects in various solid phases (crystal structures)
 Compute densities for closepacked structures
 Identify Symmetry of Cells
 Specify directions and planes for crystals and be able to relate to characterization experiments
Content
 ENERGY AND PACKING
 Atomic PACKING
 Crystalline Solids: Unit Cells
 Unit Cells and Unit Cell Vectors
 Possible Crystal Classes
 Unit Cells Types
 The 14 Bravais Lattices!
 Counting Number of Atoms Per Unit Cell
 UNIT CELL  3D Lattices
 Coordination Number of a Given Atom
 Unit Cells and Volume Packing
 Atomic Packing Fraction for FCC
 Basic Geometry for FCC
 Atomic Packing Fraction for FCC
 Summary APF for BCC
 FCC Stacking
 Comparing the FCC and HCP Planes Stacking
 Packing Densities in Crystals: Lines Planes and Volumes
 Linear Packing Density in FCC
 Planar Packing Density in FCC
 Theoretical Density
 Characteristics of Selected Elements at 20 C
 DENSITIES OF MATERIAL CLASSES
 SUMMARY
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