Metallic –Electropositive: give up electrons Ionic –Electronegative/Electropositive Colavent –Electronegative: want electrons –Shared electrons along bond

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Metallic Electropositive: give up electrons Ionic Electronegative/Electropositive Colavent Electronegative: want electrons Shared electrons along bond direction Types of Primary Chemical Bonds Isotropic, filled outer shells +-+ -+- +-+ +++ +++ +++ e- Close-packed structures Slide 2 Metals single element, fairly electropositive elements similar in electronegativity Slide 3 cation anion Ionic Compounds elements differing in electronegativity Slide 4 Covalent Compounds s2p2s2p2 s2p1s2p1 s2p3s2p3 sp 3 s2s2 s2p4s2p4 Slide 5 Hybridized Bonds one s + three p orbitals 4 (x 2) electron states (resulting orbital is a combination) sp 3 hybridization diamond also methane: CH 4 Elemental carbon (no other elements) Slide 6 Covalent Structures Recall: zinc blende both species tetrahedral ZnS:+2 -2 GaAs:+3 -3 or sp 3 single element: C or Si or Sn diamond S Zn Slide 7 Another way to hybridize Elemental carbon (no other elements) sp 2 hybridization graphite one s + two p orbitals 3 (x 2) electron states (resulting orbital is a combination) one unchanged p orbital trigonal symmetry Slide 8 Forms of carbon with sp 2 bonds Nobel Prize Physics, 2010 Nobel Prize Chemistry, 1996 Graphene Fullerene Nanotube source: Wikipedia Graphite* * http://www.electronics-cooling.com/assets/images/2001_August_techbrief_f1.jpg Slide 9 Structural Characteristics Metals Close-packed structures (CN = 12) Slightly less close-packed (CN = 8) Ionic structures Close-packed with constraints CN = 4 to 8, sometimes 12 Covalent structures Not close-packed, bonding is directional Any can be strongly or weakly bonded (T m ) Slide 10 Diamond vs. CCP 8 atoms/cell, CN = 44 atoms/cell, CN = 12 tetrahedral sites filled Slide 11 Computing density Establish unit cell contents Compute unit cell mass Compute unit cell volume Unit cell constant, a, given (or a and c, etc.) Or estimate based on atomic/ionic radii Compute mass/volume, g/cc Example: NaCl Contents = 4 Na + 4 Cl Mass = 4(atom mass Na + atomic mass Cl)/N o Vol = a 3 Units = Avogardos # Cl Na Slide 12 Single Crystal vs. Polycrystalline Rb 3 H(SO 4 ) 2 Ba(Zr,Y)O 3- Periodicity extends uninterrupted throughout entirety of the sample External habit often reflects internal symmetry Regions of uninterrupted periodicity amalgamated into a larger compact = grains delineated by grain boundaries Quartz (SiO 2 ) Diamond Slide 13 Slide 14 Isotropic vs. Anisotropic * http://www.electronics-cooling.com/assets/images/2001_August_techbrief_f1.jpg graphite*diamond polycrystalline averaging Slide 15 Metallic Electropositive: give up electrons Ionic Electronegative/Electropositive Colavent Electronegative: want electrons Shared electrons along bond direction Types of Bonds Types of Materials Isotropic, filled outer shells +-+ -+- +-+ +++ +++ +++ e- Close-packed structures Slide 16 H Whats Missing? Long chain molecules with repeated units Molecules formed by covalent bonds Secondary bonds link molecules into solids C C H H H methane C H many units http://en.wikipedia.org/wiki/File:Polyethylene-repeat-2D.png Slide 17 Polymer Synthesis Traditional synthesis Initiation, using a catalyst that creates a free radical Propagation Termination R + C=C R C C + C=C R C C + C CR unpaired electron C=C H H H H R C C RC C C C R (C-C) n R Slide 18 Polydispersity Traditional synthesis large variation in chain length number average # of polymer chains molecular weight # of polymer chains of M i total number of chains molecular weight weight average weight of polymer chains of M i total weight of all chains width is a measure of polydispersity = weight fraction Degree of polymerization Average # of mer units/chain Average chain molecular weight by number by weight mer molecular weight Slide 19 Polydispersity Traditional synthesis large variation in chain length number average # of polymer chains molecular weight # of polymer chains of M i total number of chains molecular weight weight average weight of polymer chains of M i total weight of all chains width is a measure of polydispersity = weight fraction Degree of polymerization Average # of mer units/chain Average chain molecular weight by number by weight mer molecular weight Slide 20 New modes of synthesis Living polymerization Initiation occurs instantaneously Chemically eliminate possibility of random termination Polymer chains grow until monomer is consumed Each grows for a fixed (identical) period Slide 21 Polymers Homopolymer Only one type of mer Copolymer Two or more types of mers Block copolymer Long regions of each type of mer Bifunctional mer Can make two bonds, e.g. ethylene linear polymer Trifunctional mer Can make three bonds branched polymer Slide 22 Polymer Configurations Linear Branched Cross-linked C CCC C C CC C C = C H H H H Slide 23 Polymers C CCC C C CC C C = C H H H H 109.5 H out H in Placement of side groups is fixed once polymer is formed Example side group: styrene R = R Slide 24 C CCC C C CC C R RR R C = C H H Cl H Isotactic C CCC C C CC C R RRR Syndiotactic CCCC C C CC C R RR R Atactic Slide 25 Thermal Properties Thermoplastics Melt (on heating) and resolidify (on cooling) Linear polymers Thermosets Soften, decompose irreversibly on heating Crosslinked Crystallinity Linear: more crystalline than branched or crosslinked Crystalline has higher density than amorphous Slide 26 Formal Crystallography Crystalline Periodic arrangement of atoms Pattern is repeated by translation Three translation vectors define: Coordinate system Crystal system Unit cell shape Lattice points Points of identical environment Related by translational symmetry Lattice = array of lattice points a b c space filling defined by 3 vectors parallelipiped arbitrary coord system lattice pts at corners + Slide 27 hcp ccp (fcc) bcc Hexagonal unit cell Specify: a, c Hexagonal implies: | a 1 | = | a 2 | = a = 120 = = 90 Cubic unit cells Specify: a Cubic implies: | a 1 | = | a 2 | = | a 3 | = a = = = 90 But the two types of cubic unit cells are different! Slide 28 6 or 7 crystal systems 14 lattices a, b, c, , , all arbitrary a, b, c arbitrary a, c arbitrary b = a = = 90 a arbitrary; a = b = c arbitrary; = = C or A centered for = arbitrary a, c arbitrary a arbitrary a, b, c arbitrary = = 90 Slide 29 Centered Lattices b a b a b a conventional choice unconventional choice a b both are primitive cells unconventional is primitive conventional is centered unconventional choice conventional choice Slide 30 More on Lattices X Slide 31 X Slide 32 Lattice types of some structures Slide 33 Lattice types? BCC Metal CsCl Structure How many lattice points per unit cell? Slide 34 Lattice types? Zinc blende (sphaelerite) Fluorite Slide 35 Lattice types? Diamond Perovskite: AMO 3 A M O