W2013CHM2311 Part 3a Notes

W2013CHM2311 Part 3a Notes - CHM2311 Introduc0on to...

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CHM2311’ Introduc0on’to’Structure’&’Bonding’ Part’3’ Symmetry’and’Group’Theory’
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Introduc0on’to’Molecular’Symmetry’ [email protected]://www.mcescher.com/
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Symmetry’ 2. Beauty by reflec±on 3. Beauty by rota±on … and reflec±on World’Bank’Logo’ 1. Beauty by rota±on The Inherent Beauty In An Object By Virtue Of Its Shape
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Symmetry’ The Inherent Beauty In An Object By Virtue Of Its Shape 5. Beauty by combined rota±on and reflec±on (improper rota±on) The Calgary saddledome 4. Beauty by inversion
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Structures,’Shapes,’Symmetry’&’ Group’Theory’ Bonding’features’dictate’the’molecular’shape’ Symmetry:’ aesthe0c’ precise’and’well-deFned’ ’demonstrated’according’to’the’rules’of’geometry/mathema0cs’ There’is’a’dis0nct’connec0on’between’shape/symmetry’and’bonding.’ Knowing’the’symmetry’proper0es’of’molecules’can’aid’in: a) describing’the’ orbitals that will be used in bonding b) predict’infrared’spectra ’ c) predict’op0cal’ac0vity’ d) interpret’electronic’spectra ’
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Symmetry’ We’all’have’an’inherent’feel’for’the’symmetry’of’objects.’ Which’is’more’symmetric?’ Our’goal’will’to’be’to’make’this’more’precise/formal’and’more’clearly’establish’the’ connec0on’to’bonding. ’ H H H H H H N B N B N B H H H H H H H H H H H H O S O O O S F F F F F F 2-
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Molecular’Symmetry:’The’Next’Step’ ’3.’The’symmetry’of’electronic’ wavefunc0ons’–’Character’Tables’and’Representa0ons’ H A ’ H B’ Homonuclear’diatomic’ 2.’ClassiFca0on’of’shapes’–’Point’Groups’ C n ,’C nv ,’C nh ,’D 2h ,’D 2d ,’T d ,’O h ’….’ 1.’What’is’symmetry?’Elements’and’opera0ons’ E,’i,’C n ,’S n ,’ σ An0-bonding’Molecular’Orbital’ σ g’ σ u’ Bonding’Molecular’Orbital’ [1s A ’+’1s B ]’ [1s A ’ –’1s B ]’ [email protected]://[email protected]/’
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Defning’Symmetry’ Symmetry opera.on : the’reorienta0on’oF’a’body’such’that’the’ini0al’and’fnal’ orienta0ons’are’indis0nguishable’ Symmetry element : the’ geometric’ en0ty’ (point,’ line,’ plane)’ with’ respect’ to’ which’a’symmetry’opera0on’is’perFormed’ When’a’ symmetry’opera+on’ is’perFormed’on’an’object,’it’leaves’it’in’a’ confgura0on’that’is’indis0nguishable’From,’and’superimposable’on,’the’ original’confgura0on.’ ’ ’ Symmetry’Opera0on:’rota0on’by’9±° When’a’symmetry’opera0on’is’carried’out,’it’does’so’with’respect’to’ points,’lines,’or’planes;’these’are’the’ symmetry’elements .’ ’ ’ ’ Symmetry’element:’Axis’oF’rota0on
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Symmetry’Elements’and’Opera0ons’ M&T 3 pps 76-82, 4 pps 80-84 Symmetry Opera.ons
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W2013CHM2311 Part 3a Notes - CHM2311 Introduc0on to...

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