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Rough Notes on Chapter 3 lattices

by: cdcochr1

Rough Notes on Chapter 3 lattices Engr 313

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Some rough draft notes on Lattice equations for BCC and FCC
Introduction to Materials Science
Dr. Amrita Mishra
Class Notes
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This 4 page Class Notes was uploaded by cdcochr1 on Tuesday August 30, 2016. The Class Notes belongs to Engr 313 at University of Mississippi taught by Dr. Amrita Mishra in Fall 2016. Since its upload, it has received 3 views.

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Date Created: 08/30/16
Chapter 3- Atomic and Ionic Arrangments Amorphous (short-range order) vs. Crystalline (long-range order) • Atoms are made up of “unit cells” (smallest repeated unit) • Short Range Order-less than 100nm • Long Ranger Order- greater than 100nm • Crystalline Atoms or ions of materials that form a repetitive pattern • Polycrystalline-many small crystals with varying orientation in space know as Grains • Grain boundaries- the regions between crystals where the crystals aren’t aligned perfect Lattice and Basis- one dimensional lattice points are the “dots” inside of unit cell or atomic arrangement. The basis is the repeated pattern among the lattice points or “along the lattice” (fig. 3.5) o Lattice- Collection of points that divide space into smaller equally sized segments o Crystal structure- the arrangement of the atoms in a material into a regular repeated pattern 7 families of lattices Simple Cubic *label axis for points when drawing on assignments Face-centered cubic (FCC) • 4 atoms in crystal structures • 4 atoms/unit cell: 6 face x ½ + 8 x 1/8 Body-Centered cubic (BCC) most metals • 2 atoms in body centered cubic has 2 atoms Tetragonal Hexagonal Orthorhombic Rhombohedral *Coordination #= nearest neighbors -Lattice Parameters (usually labelled “a”)- is the length of the side of one unit cell SC a=2R BCC 4R=sqrt(a^2+a^2+a^2) --> a=(4R/sqrt(3)) FCC a= 4R/(sqrt(2)) 2 Atomic Packing Factor: (see lecture) Theoretical Density (ρ) Mass of Atoms/Total Volume ρ=nA/VN n=number of atoms/unit cell A=atomic weight V=volume of unit cell 3 N=Avogadro’s number (6.022x10^23 atoms/mol) 4


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