Space Filling Geometry and Materials Science & Engineering
description
Transcript of Space Filling Geometry and Materials Science & Engineering
![Page 1: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/1.jpg)
Space Filling Geometry and Materials Science & Engineering
Terry A. RingUniversity of Utah
![Page 2: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/2.jpg)
Materials Science and Engineering
• Study of Materials Structure, Properties and Processing
• Manipulating the Geometry of Atoms
Properties
Structure Processing
![Page 3: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/3.jpg)
Packing of Spheres in a Box
• Cubic (Percentage Filled 52%) - Iodine, Uranium• Body Centered Cubic (68%) - Iron, Chromium• Face Centered Cubic (74%) - Silicon, Aluminum,
Copper• Random Close Packed (61-64%) - glass
Cubic BodyCenteredFace Centered
![Page 4: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/4.jpg)
Measure Packing Structure by
• X-ray diffraction• X-ray Scattering - Sycrotron• Neutron Diffraction• Light Scattering
– opal– Photonic Crystals
• Optical Semiconductors
Angle
![Page 5: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/5.jpg)
Atom Packing
• Gives Properties of Material• Changes with Temperature
– Higher temperatures less density.
• Gives Form to crystals• Different Energy for Different
Packings
![Page 6: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/6.jpg)
Packing Defects
• Equilibrium Defect Concentration at Temperature• Alters properties of crystal
– Color • Ruby - Cr atoms added to Al2O3
– Electrical Conductivity– Mechanical Properties
• Strength• Wear
![Page 7: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/7.jpg)
Real Materials
• Packing of Mixed Sized Spheres
• Packing of Non-Spherical Objects
• Packing of Mixtures of Non-Spherical Objects
![Page 8: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/8.jpg)
Real Materials• Monocrystals - Jet engine blades, Silicon Wafer, Watch Crystal
– How would you make one?• Poly-Crystals - Iron bar, Ceramic Cup
– Two levels of packing• atom packing into crystallites• crystallite packing into microstructure
• Composites– Two levels of packing– Two materials
• Polymer + Ceramic - Carbon Fiber Epoxy• Metal + ceramic - Al2O3 reinforced Aluminum
![Page 9: Space Filling Geometry and Materials Science & Engineering](https://reader036.fdocuments.net/reader036/viewer/2022062410/56815de4550346895dcc0b35/html5/thumbnails/9.jpg)
Odd Materials
• Fullerene
• Carbon nanotubes
• Fractal Aggregate Structures Stuck Together– Network of Fractal Aggregates