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Liquids and Solids . Chapter 10 – Day 2. Packing in Metals. Model : Packing uniform, hard spheres to best use available space. This is called closest packing . Each atom has 12 nearest neighbors. Cubic closest packed ( ccp ) structure.
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Liquids and Solids Chapter 10 – Day 2
Packing in Metals Model: Packing uniform, hard spheres to best use available space. This is called closest packing. Each atom has 12 nearest neighbors.
Cubic closest packed (ccp) structure • Every fourth layer occupies the same vertical position of atoms. • Occurs with face centered cubic unit cells.
Hexagonal closest packed (hcp) structure • Every other layer occupies the same vertical position. • Occurs with body centered packing unit cells.
Density = mass/volume (g/cm3) Density = (# atoms)(atomic mass/avogadro’s #) edge3 Note – Remember it is easier to convert edge to cm before cubing it. Based on unit cell shape what is the edge length? Calculating Density of Closest Packed Solid
Simple Cubic • Edge = 2r • The edge length is 2x the atomic radii of the element.
FCC – Face Centered Cubic • Edge = e2 + e2 = (4r)2 2e2 = (4r)2 e2 = 8r2 e = r√8
BCC – Body Centered Cubic • Edge = (4r)2 = (e√2)2 + e2 3e2 = (4r)2 4r e e√2
Metallic Bonds • How atoms are held together in the solid. • Metals hold onto their valence electrons very weakly. • Think of them as positive ions floating in a sea of electrons.
+ + + + + + + + + + + + Sea of Electrons • Electrons are free to move through the solid. • Metals conduct electricity.
Metals are Malleable • Hammered into shape (bend). • Ductile - drawn into wires. • Because of mobile valence electrons
+ + + + + + + + + + + + Malleable
+ + + + + + + + + + + + Malleable • Electrons allow atoms to slide by but still be attracted.
Metal Alloys • Substitutional Alloy: some metal atoms replaced by others of similar size. • brass = Cu/Zn
Metal Alloys(continued) • Interstitial Alloy: Interstices (holes) in closest packed metal structure are occupied by small atoms. • steel = iron + carbon