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Explore the fundamentals of molecular bonding in solids, including types of solids, conductors, insulators, semiconductors, and superconductivity. Learn about rotation and vibration in molecules, bonding characteristics, and properties of ionic and covalent bonds.
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Molecules & Solids Harris Ch 9 Eisberg & Resnick Ch 13 & 14 RNave: http://hyperphysics.phy-astr.gsu.edu/hbase/solcon.html#solcon Alison Baski: http://www.courses.vcu.edu/PHYS661/pdf/01SolidState041.ppt Carl Hepburn, “Britney Spear’s Guide to Semiconductor Physics”. http://britneyspears.ac/lasers.htm
http://hyperphysics.phy-astr.gsu.edu/hbase/solcon.html#solconhttp://hyperphysics.phy-astr.gsu.edu/hbase/solcon.html#solcon
Harris Sections • Bonding in Molecules (9.1-9.2) • Rotation and Vibration in Molecules (9.3) • Types of Solids & Crystals (9.4) • Nearly Free-Electron Model (9.5) • Conductors, Insulators, Semiconductors (9.6-9.9) • Superconductivity (9.10)
Four Closely Spaced Atoms conduction band valence band
N closely-spaced Atoms the level of interest has the same nrg in each separated atom Harris 9.2
Two atoms Six atoms Solid of N atoms ref: A.Baski, VCU 01SolidState041.ppt www.courses.vcu.edu/PHYS661/pdf/01SolidState041.ppt
Solid composed of ~NA Na Atomsas fn(R) 1s22s22p63s1
Sodium Bands vs Separation Rohlf Fig 14-4 and Slater Phys Rev 45, 794 (1934)
Copper Bands vs Separation Rohlf Fig 14-6 and Kutter Phys Rev 48, 664 (1935)
Differences down a column in the Periodic Table: IV-A Elements same valence config Sandin
Bonding http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/chemcon.html#c1 R Nave, Georgia State Univ
Chemical Bonding http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bondcon.html#c1 R Nave, Georgia State Univ
Ionic Bonds RNave, GSU at http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bond.html#c4
Covalent Bonds RNave, GSU at http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bond.html#c4
Covalent Bonding SYM ASYM spatial spin ASYM SYM spatial spin s* s
Covalent Diatomic Level Diagram Harris Fig 9.8
Covalent Bonding not really parallel, but spin-symmetric Stot = 1 Stot = 0 not really anti, but spin-asym E&R
Covalent Two atoms Six atoms Solid of N atoms ref: A.Baski, VCU 01SolidState041.ppt www.courses.vcu.edu/PHYS661/pdf/01SolidState041.ppt
Covalent Bonding with p-orbitals Harris 9.9 & 9.10
Bonding with p-orbitals Harris 9.11
Bonding Dissimilar Atoms-- broken symmetry H 9.14 & Table 9.1
Ionic Characteristics Crystalline solids High melting & boiling point Conduct electricity when melted Many soluble in water, but not in non-polar liquids Covalent Characteristics Gases, liquids, non-crystalline solids Low melting & boiling point Poor conductors in all phases Many soluble in non-polar liquids but not water Ionic vs Covalent Bond Properties
Ionic Bonds RNave, GSU at http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bond.html#c4
Ionic Bonding RNave, Georgia State Univ at hyperphysics.phy-astr.gsu.edu/hbase/molecule
Covalent Bonds RNave, GSU at http://hyperphysics.phy-astr.gsu.edu/hbase/chemical/bond.html#c4
Covalent Bonding SYM ASYM spatial spin ASYM SYM spatial spin space-symmetric tend to be closer
Covalent Bonding not really parallel, but spin-symmetric Stot = 1 Stot = 0 not really anti, but spin-asym space-symmetric tend to be closer
Molecular ExcitationsRotation, Vibration, ElectricHarris 9.3
Rotational Spectra w rotational A.M. moment of inertia
Ocean Optics: Nitrogen N2 ~ 0.3 eV ~ 0.4 eV
Electronic + Vibration + Rotation 2.550 eV 2.656 eV electronic excitation gap vibrational excitation gaps
Electronic + Vibration + Rotation Vibrational Well Vibrational Well 2.656 eV depth ~ 0.063 eV electronic excitation gap vibrational excitation gaps
Electronic, Vibration, Rotation Electronic ~ optical & UV ~ 1 – 3 eV Vibration ~ IR ~ 10ths of eV Rotation ~ microwave ~ 1000ths of eV Harris 9.24