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Yet More Bonding Chemistry, Life, the Universe & Everything Cooper & Klymkowsky Shiny Conduct electricity Malleable Metals May be colored (gold, copper, etc) silver is colorless How does bonding in metals explain their properkes? 1

Bonding in metals Atomic orbitals (lots of them) combine with each other to form molecular orbitals (an equal number) As the number of MOs increases, the energy distance between them decreases. Bonding in metals Atomic orbitals (lots of them) combine with each other to form molecular orbitals (an equal number) As the number of MOs increases, the energy distance between them decreases. Forming bands of MOs of almost conknuous energy Electrons can move freely between MOs. 2

Extended MO s Proper1es of metals Because electrons can move freely around, metals conduct electricity Because atoms can move with respect to one another, metals are malleable. - AbsorpKon of a photon will promote an electron to a higher energy level. It immediately falls back down emivng a photon the metal shines (but not in the dark why not?) - The metal interacts with light of many wavelengths, so the metal appears white or colorless (silvery). 3

Band Theory In metals the valence band (bonding MO s) overlaps with the conduckon band (ankbonding MO s) In semi- conductors (eg Si, Ge) there is a small gap between the bands, these materials are ozen used for solar cells, and in computer equipment Materials that are insulators (eg diamond) there is a large energy gap between the valence and conduckon band. Allotropes of Carbon a. Diamond b. Graphite c. Lonsdaleite (not common) d. Buckminsterfullerene (C 60 ) e. C 540 f. C 70 g. Amorphous (soot) h. Carbon (nanotube) 4

Graphene one atom thick sheet (Nobel Prize 2010) Sparkly, translucent Hard Diamonds High melkng and boiling points Why? 5

Bonding in Diamond Each carbon forms 4 bonds to 4 idenkcal carbons. The bonds arrange them- selves towards the corners of a 4 sided figure (a tetrahedron) We call this geometry tetrahedral The C- C- C bond angle is ~109 If you wanted to melt diamond (tetrahedral carbon) what would have to happen? (draw a picture) Why do metals melt and diamonds do not? 6

How come carbon forms 4 idenkcal bonds in diamond? [He] 2s 2 2p 2 4 valence electrons in atom in different types of orbitals Should give different types of bonds, but the evidence indicates that all four bonds are iden1cal Models of Bonding Molecular Orbital Atomic orbitals combine to form an equal number of molecular orbitals Each orbital can contain up to two electrons Electrons in bonding orbitals stabilize the system Electrons in ank- bonding orbital make it less stable Valence Bond Atomic Orbitals overlap to form a bond Each bond made up of two electrons How to explain the idea that C forms 4 idenkcal bonds in diamond? Hybridized orbitals 7

Bonding in diamond (Valence Bond Model) Atomic orbitals hybridize (mix up) to form bonding orbitals that then combine with orbitals from other atom to form a bond To form 4 bonds carbon hybridizes the 4 orbitals that are used for bonding. They naturally assume a tetrahedral geometry (why?) Since one s and three p orbitals combine, we call them sp 3 orbitals When the hybrid orbitals combine there is a large gap between the bonding and ankbonding molecular orbitals Bonding in tetrahedral C Hybridized atomic orbitals (sp 3 ) give rise to strong directed bonds. Giving rise to high mp/decomposikon temperature because these bonds have to be broken to melt diamond (in fact diamond decomposes rather than melts ) These bonds are sigma bonds 8

Sigma bonds Comparison of diamond and graphite Diamond High mp Hard Brinle (breaks along planes) Translucent (lets light through) Does not conduct electricity Graphite High mp SoZ Slippery Grey, shiny Conducts electricity 9

Diamond and graphite are made out of carbon atoms only how can they have such different properkes? Graphite Atomic Force Microscope image Molecular model showing sheets 10

Bonding in graphite One s and two p orbitals hybridize to give three sp 2 orbitals Geometry is called trigonal planar C- C- C bond angle is 120 When the sp 2 hybrid orbitals combine they form sigma bonding molecular orbitals. There is a p orbital lez over. These p orbitals (one on each carbon) combine side to side to form a large number of Molecular Orbitals Sigma and pi bonds 11

Sigma and pi bonds Has a localized sigma bond framework (explained by overlap of hybridized orbitals) Has a delocalized pi network over the whole sheet of atoms (explained by delocalized pi molecular orbitals) Graphite 12

Graphite properkes explained Slippery sheets can slide over each other only held together by LDF s Graphite conducts electricity because it has delocalized pi MOs over the whole structure Shiny because it can absorb and emit photons (just like metals) 13